Someone answer quick please for brainliest !

Find the equation of the line that passes through (1,2) and is perpendicular to y=2x +3
Leave your answer in the form y=mx +c

The sum of the exterior angle of the pentagon is 360 degrees.

The polygon above is a pentagon. A pentagon is a polygon with 5 sides.

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

Therefore, the sum of the measure of the exterior angles of the pentagon as shown is 360 degrees.

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Measure of third side of the Triangle is " x - 2 "

Now, we know that the sum of other two sides of Triangle is greater than that of third side, that is ;

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x - 2 < 10 + 12\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x < 22 + 2\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x < 24\)

And, The difference between two sides of a triangle is always smaller than the third side.

that is ;

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x - 2 > 12 - 10\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x > 2 + 2\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x > 4\)

Combining both inequalities, we get ;

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:4 < x < 24\)

Hence, correct choice is C

The range of possible measures of the sides of a triangle is 4 < x < 24.The correct answer would be an option (C).

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.

According to the Triangle Inequality Theorem,

The total of two sides of a triangle must be greater than the sum of the third side, according to this theorem. If all three combinations are true, you will have a true triangle.

So x -2 < 10 + 12 and x- 2 > 12 - 10

x < 24 and x > 4

This means 4 < x < 24

So the range of possible measures of the sides of a triangle is 4 < x < 24.

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Answer:

The expression that represents the length of 1 of the triangle's legs is y + 5

Step-by-step explanation:

An isosceles triangle has two sides equal which are the triangle legs. Let b represent the base of the triangle and l represent one of the triangle's legs. Then, the perimeter, P is given by

P = l + l + b

i.e P = 2l + b

From the question, P = 6y + 12 and b = 4y +2

∴ 6y + 12 = 2l + 4y + 2

6y - 4y + 12 - 2 = 2l

2y + 10 = 2l

∴ 2l = 2y + 10

Then,

l = (2y+10)/2

l = y + 5

Hence, the expression that represents the length of 1 of the triangle's legs is y + 5  

Answer:

-5>x

Step-by-step explanation:

-8>x-3

Add 3 to each side

-8+3>x-3+3

-5>x

Answer: A rectangle is ALWAYS a parallelogram and not all parallelograms are rectangles. (ex. Rhombus, square are both parallelograms) So Ainsley is wrong.

Step-by-step explanation: Parallelograms is a quadrilateral shape with 2 pairs of parallel sides. So, a rectangle has to always be one.

The original price of the sofa is $327.25.

Percentage is the fraction of an amount expressed as a number out of 100. The sign used to represent percentage is %.

When the price of the sofa is marked down, it becomes cheaper by the marked down percentage. The coupon also further reduces the price of the sofa.

Price of the sofa after the markdown = (1 - markdown) x original price

(1 - 0.3) x $550

0.7 x $550 = $385

Price of the sofa after the coupon = (1 - coupon) x price after the markdown

(1 - 0.15) x $385

0.85 x $385 = $327.25

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Answer:

72%

Step-by-step explanation:

if you multiply 120x60=7200

then 7200 divided by 100

wich equals 72

then just add a percentage at the end of the 72

and then you get 72%

Answer:

Step-by-step explanation:

The range of the square footage values for the given mean , standard deviation and  95% confidence interval is equal to (1257.26 , 508.74).

As given in the question,

Sample size 'n' = 2

Sample mean '\(\bar{x}\)' = 883 sq ft

Standard deviation 'σ' = 270 sq ft

95% confidence interval.

95% confidence interval = 1 - 0.95

                                        = 0.05

Critical value for 95% is \(Z_{0.05}\) = 1.96

Population mean for the given confidence interval is given by :

= \(\bar{x}\) ± \(Z_{0.05}\) (σ / √n)

= 883 ± 1.96 ( 270 / √2)

= 883 ± 374.26

= ( 1257.26 , 508.74 )

Therefore , the range of the square footage values for the 95% confidence interval is equal to ( 1257.26 , 508.74 ).

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Answer:

Your answer will be 11.04

Step-by-step explanation:

1.38 × 8= 11.04

Answer:

Step-by-step explanation:

\(|9| \\\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0\\\\=9\)

Answer:

(x - 8)² + (y + 9)² = 49

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (8, - 9 ) and r = 7 , then

(x - 8)² + (y - (- 9) )² = 7² , that is

(x - 8)² + (y + 9)² = 49

Answer:

In algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side.

Step-by-step explanation:

Answer:

120 miles

Step-by-step explanation:

30 miles per hour * 4 hours

120 miles

Answer:

She travels 120 miles in 4 hours.

Step-by-step explanation:

She travels 120 miles in 4 hours

Step-by-step explanation:

15x²-14x+3

Product =45

Sum=-14

=(-9,-5)

15x²-9x-5x+3

3x(5x-3)-1(5x+3)

=(5x-3)(3x-1)

Theorems apply for equilateral triangles are theorem 1 and 2, In theorem 1 each angle of an equilateral triangle is the same and measures 60 degrees each while in theorem 2 a triangle is said to be equilateral if and only if it is equiangular.

Theorem can be defined as  a statement which has been proved true by a special kind of logical argument called a rigorous proof.

There are different types of theorem such as:

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Answer:

f(x) = 1.5

Step-by-step explanation:

\(f(x) = 3(2) {}^{x} \)

\(f(x) = 3(2) {}^{ - 1} \)

\(f(x) = 3(0.5)\)

\(f(x) = 1.5\)

\(\text{Mean}=\dfrac{\sum \text{Fx}}{\sum\text{f}} =\dfrac{1+2(3)+3(4)+4(6)+5(5)+6(2)+7(2)+8(1)}{25}\)

\(\text{Mean}=4.08\)

\(\text{Median}=4\)

\(\text{Mode}=4 \ \text{(has the highest frequency)}\)

In the case of a frequency distribution that has a symmetrical frequency curve the empirical relation states that \(\text{mean = median = mode}\).

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

ANSWER IS OPTION B

BC//AD

Answer:

someone plz help

Step-by-step explanation:

hmhmhmm

Answer:

5

Step-by-step explanation:

4x - 3 = 2x + 7

-2x         -2x

____________

2x - 3  = 7

     +3    +3

____________

2x = 10

__    __

2        2

x  =  5  

Answer:

sin of 90 is 1

Step-by-step explanation:

sin is the y axis coordinate and the coordinates of 90° on unit circle is (0,1)

To find h(6), we have to evaluate the given function when x = 6.

Answer:

60 cm^2

Step-by-step explanation:

w

Answer:

23748 or 27348 (as 48 is divisible by 4)

Answer:

S=49

Step-by-step explanation:

Any triangle has an interior angle of 180.

So just add them up and set the sum equal to 180 degrees.

2s+s+33=180

3s=180-33

3s=147 .   Divide both sides by 3 to isolate variable s

s=49

Answer:

x=11

Step-by-step explanation:

These add up to 180 since a straight line = 180 degrees

Your equation is: 4x+15+11x=180

15x+15=180

15x=165

x=11

Answer:

X=11

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

4x+15+11x=180

15x+15=180

180-15=165

165/15=11

X=11

Answer:

4/11, 3, 17/5, 3.421, 3.48

Step-by-step explanation:

4/11 = 0.36363636(repeating)

17/5 = 3.4

4/11 is the smallest given that is is not even 1

3 is smaller than 17/5, an easy way to know that is to simply 17/5 where it equals 3.4

17.5 or 3.4 is slightly smaller than 3.421, it is exactly 0.021 smaller than 3.421

3.421 is smaller than 3.48

least is 4/11 and greatest is 3.48, the in between numbers are all placed correctly in the answer section

Answer:

The answers from least to greatest are 3.36, 3.4, 3.421, 3.48

Step-by-step explanation:

17/5= 3 2/5, 3 2/5 = 3.4

3 4/11 = 3.36

3.421 stays the same

3.48 stays the same

I hope this helps and have a wonderful day!