help please

In triangle LMN, m∠L = (3c + 66)°. If the exterior angle to ∠L measures 72°, determine the value of c.


c = 72

c = 46

c = 14

c = 2

Answer:

n \(\geq\) -2

Step-by-step explanation:

1. Set up in an inequality

n-3 \(\geq\) -5

I set it up this way because if it is at least -5 then it can equal -5. It can also be more than -5 because -5 is the least it can be.

2. Add

n \(\geq\) -2

Add 3 to both sides to get n by itself.

The solution to the given inequality will be n  ≥-2.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given that a number n minus, 3 is at least –5. Set up in an inequality

n-3 ≥ -5

I set it up this way because if it is at least -5 then it can equal -5. It can also be more than -5 because -5 is the least it can be.

n-3 ≥ -5

n ≥  -5 + 3

n  ≥-2

Therefore, the solution to the given inequality will be n  ≥-2.

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Given that Line a is parallel to Line b (Line a ║ Line b), the triangle that is similar to ΔJKH is 1. ΔMKN

Similar triangles are triangles that have congruent corresponding angles, and in which all three corresponding sides are proportional.

The given parameter is Line a is parallel to Line b, which gives: a║b

Two triangles are similar if they satisfy the following conditions:

According to alternate angles theorem, the angles ∠JHK in ΔJKH is congruent to the ∠KNM in triangle ΔMKN

Similarly, the angle ∠HJK in ΔJKH is congruent to the ∠KMN in ΔMKN

Therefore, ΔJKH is similar to ΔMKN by Angle-Angle, AA similarity postulate.

The correct option for the triangle similar to ΔJKH is option 1. ΔMKN

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1) Considering that we can use algebra we can write this:

Answer:

Step-by-step explanation:

F(c) = 5c

We know that two vertical angles are equal.

\(108° \: = \: (12x \: + \: 24)°\)

\( - 12x \: = \: 24 \: - \: 108\)

\( - 12x \: = \: -84\)

\( \boxed{ \bold{x \: = \: 7°}}\)

We know that a complete angle measures 360°.

\(108° \: + \: 108° \: + \: z \: + \: z \: = \: 360°\)

\(216 \: + \: 2z \: = \: 360\)

\(2z \: = \: 360 \: - \: 216\)

\(2z \: = \: 144\)

\( \boxed{ \bold{z \: = \: 72°}}\)

Answer:

2,-1

Step-by-step explanation:

graph, find length between points (sqrt 20) and slope (-2). sqrt20/2=sqrt5.

change in y/change in x = -2, change in y squared + change in x squared= 5. solve system of equations to get x=1, y=-2, or x=-1, y=2. i think i did something wrong but the answer should be correct

C:

3500(0.93)^d

Exponential functions have the form a·b^x, where:

   a is the initial amount

   b is the percent remaining after each time period

a = 3500, since that's the original volume.

Since 7% is lost each day, 93% remains, so b=0.93.

Answer:

WE fail to reject the Null and conclude that ; Standard deviation of test hasn't decreased.

Step-by-step explanation:

The hypothesis :

H0 : σ = 13

H1 : σ < 13

Using the Chisquare Square statistic :

χ² = (n-1)*s²/σ²

Sample size, n = 25

s² = 6.0547²

σ² = 13²

χ² = (25 - 1)*6.0547² / 13²

χ² = 879.82541016 / 169

χ² = 5.206

The degree of freedom, df = 25 - 1 = 24

The Pvalue(5.206, 24) = 0.99981

Reject H0, if Pvalue < α ;

Since Pvalue > α ; WE fail to reject the Null and conclude that ; Standard deviation of test hasn't decreased.

Using

1. The function f that determines the height of the beanstalk is \(h(t) = 7 * (1.15)^t\)

2. f(1)/f(0) = 1.15.

3. f(2)/f(1) = 1.149.

Let h be the height of the beanstalk in inches after t days. Then we can write: \(h(t) = 7 * (1.15)^t\) where 1.15 is the factor by which the height increases each day.

i. To compute f(1)/f(0), we need to substitute t = 1 and t = 0 into the function f and divide:

f(1)/f(0) = [7 * (1.15)^1] / [7 * (1.15)^0]

f(1)/f(0) = 1.15/1

f(1)/f(0) = 1.15

ii. To compute f(2)/f(1), we need to substitute t = 2 and t = 1 into the function f and divide:

f(2)/f(1) = [7 * (1.15)^2] / [7 * (1.15)^1]

f(2)/f(1)= (1.3225) / (1.15)

f(2)/f(1) = 1.149

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The y-coordinate of -3f(x-1) when x = 0 is -63

From the question, we have the following parameters that can be used in our computation:

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Answer:

x² - 10x + 9 = (x-9)(x-1)

the factored expression would be (x-9)(x-1)

Answer:

-9w - 8

Answer:

The answer to you question is represented down below \/.

Triangle 1 =

Side A. 8 yd

Side B. 15 yd

Side C. 17 yd

Triangle 2:

Side A. 48 yd

Side B. 90 yd

Side C. 102 yd

How I did it:

Use the equivalent side from each triangle and / Triangle 1's side by Triangle 2's side..

Which then you will get the following:

T1Sa/T2Sa = 8yd / 48yd = 1/6

T1Sb/T2Sb = 15yd / 90yd = 1/6

T1Sc/T2Sc = 17yd / 102yd = 1/6

Therefore it being, 1/6

Answer:

76ft^3

Step-by-step explanation:

Volume of a cube is Length x Width x Height, basically: 4 x 4 x 4 which is 64 ft^3. Add that to the small box gives you 64 + 12 or just 76 ft^3

II and III only

We split up the integration interval [1, 4] into 3 equally-spaced subintervals of length (4 - 1)/3 = 1 :

[1, 2], [2, 3], [3, 4]

The area over each subinterval [L, R] is either approximated by a trapezoid, whose area will be

1 • (f(L) + f(R))/2

or by a rectangle with height f((L + R)/2) and hence area

1 • f((L + R)/2)

For f(x) = x², the area under f(x) over [1, 4] is approximated by

• using trapezoids (T) :

\(\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}{2\times3} (1^2 + 2\times2^2 + 2\times3^2 + 4^2) = \frac{43}2 = \frac{86}4\)

• using midpoints (M) :

\(\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}3 \left(\left(\frac32\right)^2 + \left(\frac52\right)^2 + \left(\frac72\right)^2\right) = \frac{83}4\)

so T > M. (This eliminates "I only" and "all of the functions".)

For f(x) = √x, the area is approximated by

• T :

\(\displaystyle \int_1^4 \sqrt x \, dx \approx \frac{4-1}{2\times3} (\sqrt1 + 2\sqrt2 + 2\sqrt3 + \sqrt4) \approx 4.646\)

• M :

\(\displaystyle \int_1^4 \sqrt x\, dx \approx \frac{4-1}3 \left(\sqrt{\frac32} + \sqrt{\frac52} + \sqrt{\frac72}\right) \approx 4.677\)

so T < M. (This eliminates "none of the functions".)

Answer:

1/7

Decimal Form:

0.1428574

Step-by-step explanation:

Answer:

Answer- D)2,4,8,16,32, . . .

Answer:

b. -4,-2,0,2,4,...

Step-by-step explanation:

The value of n that satisfies the given polynomial expression is 10

From the question, we are to determine determine the corresponding value of n in the simplified expression.

The given expression is

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

First, we will simplify this expression

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

(12x⁵ + 6x³ + x) - (2nx³ + x + 52nx² + 26)

(12x⁵ + 6x³ + x - 2nx³ - x - 52nx² - 26)

Simplify further

(12x⁵ + 6x³ - 2nx³ - 52nx² - 26)

(12x⁵ + (6 - 2n)x³ - 52nx² - 26)

By comparison with (12x⁵ - 14x³ - 520x² - 26)

(6 - 2n)x³ = - 14x³

and

- 52nx² = - 520x²

Solve (6 - 2n)x³ = - 14x³ for n

(6 - 2n)x³ = - 14x³

6 - 2n = - 14

6 + 14 = 2n

20 = 2n

n = 20/2

n = 10

Similarly,

Solve - 52nx² = - 520x² for n

52n = 520

n = 520/52

n = 10

Hence, the value of n is 10

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Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

Answer:

Road:

Distance to Greg's house = 3.2 + 1.7 =

4.9 miles

Time to get to Greg's house =

(4.9 mi)/(15 mi/hr) = about .327 hours = about 19.6 minutes (19 minutes, 36 seconds)

Shortcut:

Distance to Greg's house:

\( \sqrt{ {3.2}^{2} + {1.7}^{2} } = 3.6235 \)

Time to get to Greg's house:

(3.6235 mi)/(15 mi/hr) = about .242 hours = about 14.49 minutes (14 minutes, 30 seconds)

The shortcut is about 4.9 - 3.6235 = 1.28 miles faster (about 5.11 minutes, or 5 minutes, 6 seconds faster)

Answer:

r = 8 units

Step-by-step explanation:

The equation of the circle centered at the origin is x² + y² = r²

   x² + y² = 64

   x² + y² = 8²

      r = 8 units

Answer:

8

Step-by-step explanation:

An equation of a circle is depicted by the notation \((x-h)^2+(y-k)^2=r^2\), where

- \((h,k)\) is the center point of the circle

- \(r\) is the radius (the span of units from the origin to the border of the circle)

In this unique problem, the center is the origin (0,0), so \(h\) and \(k\) respectively equal 0.

Since the equation of the circle is \(x^2+y^2=64\) , we must square root 64 since it's in it's \(r^2\) form to obtain the value of \(r\), which is the radius.

\(\sqrt{64}\)=±8

Despite mathematically, -8 or 8 will work in this case, you cannot have a negative radius; therefore, the radius of the circle is 8.

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Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer:

blue 7.3

Step-by-step explanation:

Answer:

7.3

Step-by-step explanation:

There are 7 groups with 10 parts in each, 7 complete rows are filled in. 3 are left in the last row. This means that there are 7 wholes with 3 left over. 7.3

Answer:

  2∛3 units

Step-by-step explanation:

The volume is the cube of the edge length, so the edge length is the cube root of the volume:

  s = ∛V

  s = ∛24 = ∛(2³·3)

  s = 2∛3

The edge length is 2∛3 ≈ 2.8845 units.

Therefore, the horizontal distance between Antonio and the water source is approximately 145.7 feet.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, especially right triangles. It is used to study and solve problems involving angles and distances, particularly in geometry and physics.

Here,

    A (Antonio)

    |\

    | \

 75 |  \ h

    |   \

    |    \

    ------W (Water source)

       d

In the diagram, A represents Antonio, W represents the water source, h represents the height of the tower (75 feet), and d represents the horizontal distance between Antonio and the water source. The angle of depression is the angle between the horizontal line and the line of sight from Antonio to the water source. We can see from the diagram that this angle is also the angle between the opposite side (h) and the hypotenuse (AW) of a right triangle. Therefore, we can use the tangent function to find d:

tan(28°) = h / d

Substituting h = 75 and solving for d, we get:

d = h / tan(28°) = 75 / tan(28°) ≈ 145.7 feet

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