If anyone can help me to solve this!!​

If Anyone Can Help Me To Solve This!!

Answers

Answer 1

Answer:

\(\textsf{1.} \quad x=-6, \quad x=6\)

\(\textsf{2.} \quad x=-5, \quad x=2\)

\(\textsf{3.} \quad x=-3, \quad x=7\)

\(\textsf{4.} \quad x=\dfrac{-5 +\sqrt{57} }{4}, \quad x=\dfrac{-5 -\sqrt{57} }{4}\)

\(\textsf{5.} \quad x=\dfrac{7+ \sqrt{309} }{10}, \quad x=\dfrac{7-\sqrt{309} }{10}\)

Step-by-step explanation:

Question 1

Method: Extracting the Square Root

\(\begin{aligned}& \textsf{Given}: & x^2 & = 36\\& \textsf{Square root both sides}: & \sqrt{x^2} & = \sqrt{36}\\& \textsf{Simplify}: & x & = \pm 6\\&\textsf{Solution}:&x& = -6, 6\end{aligned}\)

Question 2

Method: Factoring

\(\begin{aligned}& \textsf{Given}: & x^2+3x-10 & = 0\\& \textsf{Split the middle term}: & x^2+5x-2x-10 & = 0\\& \textsf{Factor the first two and the last two terms}: & x(x+5)-2(x+5)&=0\\& \textsf{Factor out the common term $(x+5)$}: & (x-2)(x+5)&=0\\& \textsf{Apply the zero-product property}: & (x-2)=0 \implies x&=2\\ &&(x+5)=0 \implies x&=-5\\ & \textsf{Solution}: & x&=-5,2\end{aligned}\)

Question 3

Method: Factoring

\(\begin{aligned}& \textsf{Given}: & x^2-4x-21 & = 0\\& \textsf{Split the middle term}: & x^2-7x+3x-21 & = 0\\& \textsf{Factor the first two and the last two terms}: & x(x-7)+3(x-7)&=0\\& \textsf{Factor out the common term $(x-7)$}: & (x+3)(x-7)&=0\\& \textsf{Apply the zero-product property}: & (x+3)=0 \implies x&=-3\\&&(x-7)=0 \implies x&=7\\& \textsf{Solution}: & x & = -3, 7\end{aligned}\)

Question 4

Method: Quadratic  Formula

\(\boxed{\begin{minipage}{4 cm}\begin{center}\underline{Quadratic Formula}\end{center}\\\\\begin{center}$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\end{center}\\\\\\\begin{center}when $ax^2+bx+c=0$\end{center}\end{minipage}}\)

Given:

\(5x-4=-2x^2\)

Rearrange into standard form by adding 2x² to both sides:

\(\implies 2x^2+5x-4=0\)

Therefore:

\(a=2, \quad b=5, \quad c=-4\)

Substitute the values into the quadratic formula and solve for x:

\(\implies x=\dfrac{-5 \pm \sqrt{5^2-4(2)(-4)} }{2(2)}\)

\(\implies x=\dfrac{-5 \pm \sqrt{25+32} }{4}\)

\(\implies x=\dfrac{-5 \pm \sqrt{57} }{4}\)

Therefore, the solutions are:

\(x=\dfrac{-5 +\sqrt{57} }{4}, \quad x=\dfrac{-5 -\sqrt{57} }{4}\)

Question 5

Method: Quadratic  Formula

\(\boxed{\begin{minipage}{4 cm}\begin{center}\underline{Quadratic Formula}\end{center}\\\\\begin{center}$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\end{center}\\\\\\\begin{center}when $ax^2+bx+c=0$\end{center}\end{minipage}}\)

Given:

\(5x^2-7x-13=0\)

Therefore:

\(a=5, \quad b=-7, \quad c=-13\)

Substitute the values into the quadratic formula and solve for x:

\(\implies x=\dfrac{-(-7) \pm \sqrt{(-7)^2-4(5)(-13)} }{2(5)}\)

\(\implies x=\dfrac{7 \pm \sqrt{49+260} }{10}\)

\(\implies x=\dfrac{7 \pm \sqrt{309} }{10}\)

Therefore, the solutions are:

\(x=\dfrac{7+ \sqrt{309} }{10}, \quad x=\dfrac{7-\sqrt{309} }{10}\)


Related Questions

The midpoint of AB is M(1,-4). If the coordinates of A are (-3, -6), what are
the coordinates of B?

The midpoint of AB is M(1,-4). If the coordinates of A are (-3, -6), what arethe coordinates of B?

Answers

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-6})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x -3}{2}~~~ ,~~~ \cfrac{ y -6}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(1~~,~~-4)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x -3}{2}=1\implies x-3=2\implies \boxed{x=5} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -6}{2}=-4\implies y-6=-8\implies \boxed{y=-2}\)

ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

if 5(2x-1)=35, then x=​

Answers

Answer:

x=4

Step-by-step explanation:

if 5(2x-1)=35, then x=

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

5(2x - 1) = 35

Step 2: Solve for x

[Division Property of Equality] Divide 5 on both sides:                                 2x - 1 = 7[Addition Property of Equality] Add 1 on both sides:                                    2x = 8[Division Property of Equality] Divide 2 on both sides:                                 x = 4

What is the distance between the two points plotted?
101y
8
(-6,4)
10-8
1 unit
|
-6 -4
0-1 unit
11 units
-11 units
6
4
2
-20
-2
-4
-6
-8
-10
2
(5,4)
4
6
8
X
10

Answers

The distance between the points (-6, 4) and (5, 4) is 11 units.

To find the distance between two points in a Cartesian coordinate system, we can use the distance formula:

Distance = √[(x2 - x1)² + (y2 - y1)²]

Given the two points (-6, 4) and (5, 4), we can plug in the coordinates into the distance formula:

Distance = √[(5 - (-6))² + (4 - 4)²]

        = √[(5 + 6)² + 0²]

        = √[11² + 0]

        = √[121]

        = 11

Therefore, the distance between the points (-6, 4) and (5, 4) is 11 units.

In this case, since the y-coordinates of both points are the same (4), the distance between them only considers the difference in their x-coordinates. As the x-coordinate of the second point is 11 units greater than the x-coordinate of the first point, the distance between them is simply the absolute value of the difference, which is 11.

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Find the value of x please help ASAP picture below

Find the value of x please help ASAP picture below

Answers

Answer:

7

Step-by-step explanation:

Because these two triangles share an angle and their corresponding sides are parallel, they are similar.

So, we can set up a proportion relating corresponding sides:

10 / (10 + 8) = (3x - 6) / (3x - 6 + 12)

10/18 = (3x - 6) / (3x + 6)

Cross-multiply:

18 * (3x - 6) = 10 * (3x + 6)

54x - 108 = 30x + 60

24x = 168

x = 168/24 = 7

The answer is 7.

~ an aesthetics lover

Use the average daily balance method to compute the finance charge on the credit card account
for the month of August (31 days). The starting balance from the previous month is $270. The
transactions on the account for the month are given in the table to the right. Assume an annual
interest rate of 19% on the account and that the billing date is August 1st.

aug 7th. payment of $70
aug. 10 purchase of $135
aug. 15 purchase of $20
aug. 29 purchase of $25


what is the finance charge for the month of August?

Use the average daily balance method to compute the finance charge on the credit card accountfor the

Answers

The finance charge for the month of August is $4.93.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

Given:

The starting balance from the previous month is $270.

The transactions on the account for the month are given in the table to the right.

Assume an annual interest rate of 19% on the account and that the billing date is August 1st.

After finding the balance outstanding each day, we sum it up.

And get the average as $305.4839

Now we find the average balance by dividing it by 31 days of the August month.

Average balance = $305.4839

Finance charge = $305.4839  x19 x 31/365 days

Finance charge = $4.929589

Finance charge = $4.93

Therefore, the Finance charge = $4.93.

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if the point ( -2 2 ) is reflected across the y-axis what is the new coordinates

Answers

The new coordinates of the reflected point will be (2, 2).

Reflection:

In mathematics, reflection is a transformation that "flips" an object over a line or plane. Reflection is a type of symmetry, where an object appears exactly the same after being reflected as it did before.  

When a point is reflected across the y-axis, its x-coordinate changes sign while its y-coordinate remains the same.  

Here we have

The point (-2, 2) is reflected across the y-axis

When a point is reflected across the y-axis, its x-coordinate changes sign while its y-coordinate remains the same.

The new coordinate of the point = (-(-2), 2) = (2, 2)

Therefore,

The new coordinates of the reflected point will be (2, 2).

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WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!

What scale factor was applied to the first rectangle to get the resulting image?

Enter your answer as a decimal in the box.

WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!What scale factor was applied to the first rectangle to

Answers

Answer:

2.5

Step-by-step explanation:

the length has increased by 7.5/3 = 2.5.

so the scale factor is 2.5

What is Orthocentre?

Answers

The intersection of altitudes traced perpendicularly from a triangle's vertices to its opposite sides is known as an orthocenter.

Given that,

We have to find what is orthocenter.

We know that

What is Orthocenter?

The intersection of altitudes traced perpendicularly from a triangle's vertices to its opposite sides is known as an orthocenter. It is the location in a triangle where the three angles of the triangle intersect. An orthocenter's three primary characteristics are as follows:

Triangle: A three-sided polygon with three edges.

A triangle's height is the line that runs between its vertices and perpendicular to the other side. A triangle can therefore have three heights, one from each vertices.

Vertex - A vertex is the intersection of two or more lines.

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A biologist estimated that the current population of ladybugs in the region was 8.3 x 106. He predicts that a swarm of
950,000 ladybugs will be arriving into the region.
According to the biologist's estimates, how many ladybugs will be in the region after the swarm arrives? math

Answers

According to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.

How many ladybugs will be in the region after the swarm arrives?

To find the total population of ladybugs in the region after the swarm arrives, we need to add the number of ladybugs in the region before the swarm arrives to the number of ladybugs in the swarm:

Total ladybugs = 8.3 x 10⁶ + 950,000

Total ladybugs = 8,300,000 + 950,000

Total ladybugs = 9,250,000

Therefore, according to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.

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LuANN is playing a math game. She chooses 3 cards. The value of her cards is hownn below
First card: -12
Second card: 3
Third card: -5
What was the sum of the value of LuANNS three cards?

LuANN is playing a math game. She chooses 3 cards. The value of her cards is hownn belowFirst card: -12Second

Answers

I believe it is -14 :)

The expression factors as: (n4 + 3)(n4 + 3)
(n4 - 3)(n4 + 3)
(n4 – 3)(n4 – 3)

The expression factors as: (n4 + 3)(n4 + 3)(n4 - 3)(n4 + 3)(n4 3)(n4 3)

Answers

Answer:

(n 4)

Step-by-step explanation:

Answer:

B - the second one (on EDGE)

Step-by-step  :

Rationalize the denominator.

Rationalize the denominator.

Answers

Answer:

work is shown and pictured

Rationalize the denominator.

Answer:

\(\frac{\sqrt[3]{18}}{3}\)

Step-by-step explanation:

Hello!

To rationalize the denominator, we have to remove of any square root or cube root (or any root) operations.

Since \(\sqrt[3]{3}\) is the same as \(3^{\frac13}\), we have to multiply the numerator and denominator  by \(3^{\frac23}\) or \(\sqrt[3]{3^2}\).

Rationalize\(\frac{\sqrt[3]{2}}{\sqrt[3]{3}}\)\(\frac{\sqrt[3]{2}}{\sqrt[3]{3}} * \frac{\sqrt[3]{3^2}}{\sqrt[3]{3^2}}\)\(\frac{\sqrt[3]{2 * 3^2}}{\sqrt[3]{3^3}}\)\(\frac{\sqrt[3]{18}}{3}\)

The radical in the numerator cannot be further simplified.

The answer is \(\frac{\sqrt[3]{18}}{3}\).

find the values of variables, then find the lengths of the sides of each quadrilateral ​

find the values of variables, then find the lengths of the sides of each quadrilateral

Answers

Answer #10
s = 43
m = 9
LM and NO = 26
LO and MN = 43

Answer # 11
g = 11
f = 5
This is a square so all four sides are the same, each side length is 17

Step by step

#10

Parallelogram opposite sides are equal so we can make the expressions equal to solve
2m + 8 = 3m - 1
Subtract 2m from both sides
2m - 2m + 8 = 3m - 2m -1
8 = m - 1
Add 1 to each side
8 + 1 = m -1 + 1
9 = m
Sub value of m= 9 for each of these sides

2m + 8
2(9) + 8 = 26
3m - 1
3(9) -1 = 26

s + 1 = 5m - 2
Sub value of m=9
s + 1 = 5(9) -2
s + 1 = 43
subtract 1 from both sides
s + 1 -1 = 43 -1
s = 42
Left side = s + 1
42 + 1 = 43
Both sides (congruent) = 43

#11

This is a square so all four sides are the same, we can equal the left and right sides to find g
g + 6 = 2g -5
Subtract g from both sides
g - g + 6 = 2g - g -5
6 = g -5
Add 5 to both sides
6 + 5 = g -5 +5
g = 11

Now to find value of f
3f + 2 = 5f - 8
Subtract 3f from both sides
3f - 3f + 2 = 5f - 3f -8
2 = 2f -8
Add 8 to both sides
2 + 8 = 2f -8 +8
10 = 2f
Divide both sides by 2 to solve
10/2 = 2/2f
f = 5

Since this is a square, we only need to solve one side

g + 6 = side
11 + 6 = 17
Each side measures 17

Helppppppppp plzzzzzzzzzz

Helppppppppp plzzzzzzzzzz

Answers

-1 yes
4 No
-6 yes
9 No
I’m pretty sure sorry they ain’t in order

what is 6 ÷ ⅓ 1/18 1/2 12 18​

Answers

Answer:

18

Step-by-step explanation:

\(\frac{6}{1/3} =\frac{6*3}{1} \\=18\)

Geometry, Unit 2, Lesson 6)
Triangles ACD and BCD are isosceles. Angle DBC has a measure of 84 degrees and angle
BDA has a measure of 24 degrees. Find the measure of angle BAC.
ADAC and BDBC
A
D
+
B
C
Type the answer in the box below.
Angle BAC has a measure of
degrees

Geometry, Unit 2, Lesson 6)Triangles ACD and BCD are isosceles. Angle DBC has a measure of 84 degrees

Answers

Answer:I think the answer is 18 degrees.

Step-by-step explanation:in the picture.

Geometry, Unit 2, Lesson 6)Triangles ACD and BCD are isosceles. Angle DBC has a measure of 84 degrees

Need help ASAP!! Please!!

Need help ASAP!! Please!!

Answers

Answer:

Step-by-step explanation:

hi, Green should have smelled more tranquil, but somehow it just tasted rotten.

Doris enjoyed tapping her nails on the table to annoy everyone.

His son quipped that power bars were nothing more than adult candy bars.

Trash covered the landscape like sprinkles do a birthday cake.

PLS HELP MY GRADE DEPENDS ON IT

Image is attached below

PLS HELP MY GRADE DEPENDS ON IT Image is attached below

Answers

Answer: the first one

Step-by-step explanation: head math

I need help
I don’t understand how to do it

I need help I dont understand how to do it

Answers

Answer:

tan60 = \(\frac{x}{6}\)

      x = 6 x tan60

         = 10.4 ( cor to 3 significant figures)

cos60 = \(\frac{6}{y}\)

        y = \(\frac{6}{cos60}\)

           = 12

to understand the eating habits of babies at TLC daycare Lisa survey 30 mothers and baby boys​

Answers

You need baby girls eating habits too.

A City Park is in the Shape of a triangle where the sides have Lengths 163m, 145m, and 145m.if a fence was built around the perimeter the park, how long would the fence need to be?​

Answers

The required fence to be built around the perimeter of the park should be 453 m long.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.

Here,
A City Park is in the Shape of a triangle where the sides have Lengths of 163 m, 145m, and 145m.
The perimeter of the triangle  = sum of all sides
                                                 = 163 + 145 + 145
                                                 = 453 m

Thus, the required fence to be built around the perimeter of the park should be 453 m long.

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5. Find two equations of a circle if one of the end points of the diameter is at the origin and the
radius is 3.

Answers

Step-by-step explanation:

there are many possibilities, 4 of them really easy.

the endpoint of a diameter is simply a point on the circle arc.

the easy options are to assume that the center of the circle is on the x- or the y-axis.

let's go with the x-axis (we only need 2 circles : one with the center left, and one with the center right of the origin).

we know the radius is 3.

so, the center of either circle is 3 units away from the origin.

so, center of circle1 = (-3, 0), center of circle2 = (3, 0).

the equation for a circle is

(x - h)² + (y - k)² = r²

r is the radius, (h, k) is the center point.

equation for circle1 :

(x - -3)² + (y - 0)² = 3²

(x + 3)² + y² = 9

equation for circle2 :

(x - 3)² + (y - 0)² = 3²

(x - 3)² + y² = 9

you see ?

the other 2 easy options would be to put the centers on the y-axis : (0, -3) and (0, 3)

find x and round to the nearest tenth! will give thanks

find x and round to the nearest tenth! will give thanks

Answers

Answer:

3.6 cm

Step-by-step explanation:

For the 20-deg angle, x is the opposite leg. 10 cm is the adjacent leg. The trig ratio that relates the opposite leg to the adjacent leg is the tangent ratio.

tan A = opp/hyp

tan 20 deg = x/10

x = 10 tan 20 deg

x = 3.6

Answer and Step-by-step explanation:

To find x, we need to use the tangent trig function.

tan(angle) = opposite/adjacent

\(tan(20) = \frac{x}{10}\)

Multiply by 10 to both sides, and solve with a calculator.

10(tan(20)) = x

x = 3.639702343

x ≈ 3.6 is the answer.

#teamtrees #WAP (Water And Plant)

Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot

Answers

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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AABC ~ AXYZ
Find the missing side length, s.
B
6
9
A
•C
8
Х-
Z
S
s = [?]
Enter

AABC ~ AXYZFind the missing side length, s.B69AC8-ZSs = [?]Enter

Answers

Answer:

The value of s is 12.

Step-by-step explanation:

We know that:

ΔABC ≅ ΔXYZ

Work:

[{6 + (1/2 x 6)} + {8 + (1/2 x 8} + {BC + (1/2 x BC) = 9 + s + YZ=> s = 8 + (4)=> s = 12

Hence, the value of s is 12.

Hoped this helped.

\(BrainiacUser1357\)

PLEASE HELP WORTH 25 POINTS

Model with Mathematics The outline of a park is
shown in the diagram. Each square on the grid represents
a square yard. Use shapes to model the area of the park.
Explain your reasoning and justify your calculations.

PLEASE HELP WORTH 25 POINTSModel with Mathematics The outline of a park isshown in the diagram. Each

Answers

Answer:

We are trying to calculate the area of the park by modeling it with shapes. To start, the larger rectangle (green) toward the top is the easiest to calculate. Its length is 8 yards and its width is 4 yards, so the area would be 8 x 4 = 32 yards^2.

Next, the 3 rectangles at the bottom (white). The one in the middle has a length of 4 yards and a width of 3 yards, so its area is 4 x 3 = 12 yards^2. The two rectangles to either side are the same size, so together their area will be 2 x 4 x 3 = 24 yards^2.

Now that we have modeled the park with 3 shapes, we need to add the areas together to get the total area. So, we have 32 + 12 + 24 = 68 yards^2. The total area of the park is 68 yards^2.

Step-by-step explanation:

The area of the park is about :

95 + 27 = 122 yards

We have the following information available from the question is:

The outline of a park is shown in the diagram. Each square on the grid represents a square yard. Use shapes to model the area of the park.

Now, According to the question:

Each square on the grid represents a square yard, and as we can see from the figure that the complete square is about 95, the incomplete grid is about 27,

So the area of the park is about :

95 + 27 = 122 yards

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Convert 1.4394 to a percent

Answers

Answer: = 143.94%

Step-by-step explanation:

Multiply 1.4394 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.

1.43941×100100=143.94100

143.94/100 is 143.94 over 100 and means 143.94 per 100. 143.94 "per 100" means 143.94 "percent" or 143.94%

Therefore, we have shown that

1.4394 = 143.94%

Answer:

143.94%                                                                                                                

It is a whole number so it is 100% plus the 43 so it is 143.94

Find the equation of the line in slope-intercept form.
The line has a slope of -5 and a y-intercept of 6.

Answers

i believe the equation is y= -5+6

∠A ≅ ∠B, ∠C is a complement of ∠A. m∠C = 25°; m∠B =

Answers

Using the fact that ∠A is congruent to ∠B and ∠C is a complement of ∠A, we determined that the measure of ∠B is 65° based on the given measure of ∠C as 25°.

If ∠A is congruent (≅) to ∠B and ∠C is a complement of ∠A, we can use the properties of complementary angles to find the measure of ∠B.

Given that m∠C = 25° and ∠C is a complement of ∠A, we know that ∠A + ∠C = 90°.

Since ∠A is congruent to ∠B, we can replace ∠A with ∠B in the equation:

∠B + ∠C = 90°.

Substituting the given value, we have:

∠B + 25° = 90°.

To isolate ∠B, we subtract 25° from both sides of the equation:

∠B = 90° - 25°.

Simplifying, we get:

∠B = 65°.

Therefore, the measure of ∠B is 65°.

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