Consider the figure shown. what is the measure of the given angles?

Equivalent Expression: 9x + 15x = 54

Step-by-step explanation:

First, yo would do 3^2 which is 3 times 3 equals 9.

So, it would be 9x + 15x = 54

Then, you combine like terms, 9x + 15x

So 9+15= 24x

Last, would be 54 = 24x

divide by 24 onto both sides and then x will be by itself and then it will give you an answer.

Answer: 2.25

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Answer:

Step-by-step explanation:

Let x represent the length of one side of the yard. Then the width of the yard is 2x+4, and the perimeter is ...

  P = 2(L +W) . . . . . . . . . . formula for perimeter of a rectangle

  80 = 2(x + (2x+4)) . . . . . with values from the problem filled in

  40 = 3x +4 . . . . . . . . divide by 2, collect terms

  36 = 3x . . . . . . . . . subtract 4

  12 = x . . . . . . . . . divide by 3. This is the length of the side fence.

  2x +4 = 2(12) +4 = 28

The fence is 12 feet on the sides and 28 feet on the front. (Its total length is 52 feet.)

Answer:

x₂ = - 3

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to [tex]\frac{5}{6}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 9) and (x₂, y₂ ) = (x₂, - 1)

m = [tex]\frac{-1-9}{x_{2}-9 }[/tex] , that is

[tex]\frac{-10}{x_{2}-9 }[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(x₂ - 9) = - 60 ( divide both sides by 5 )

x₂ - 9 = - 12 ( add 9 to both sides )

x₂ = - 3

Answer:

Step-by-step explanation:

2x+41= 127(opposite angles are equal)

2x= 127-41

2x= 86

x= 86/2

x= 43°

Answer:

D

Step-by-step explanation:

An undefined slope (or an infinitely large slope) is the slope of a vertical line! The x-coordinate never changes no matter what the y-coordinate is! There is no run!

it cannot be written in slope-intercept form,

--So we can rule out A and B, since they are in Slope Intercept Form--

but it can be written in the form: x=a , where a is a constant.

B is not in the form x=a so we can rule that out.

D is in the correct form!

Hope i helped, Brainliest would be appreciated!

Have a nice day!

    -Aadi x

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Answer:

  x = 40

Step-by-step explanation:

The angle bisector divides corresponding sides proportionally.

  x/16 = 25/10

  x = 16(25/10) . . . . . multiply by 16

  x = 40

Answer:

[tex]\frac{11}{850}[/tex]

Step-by-step explanation:

Let's see

The probability of the first card being a spade is 13/52 (as there's 13 spades in the deck.

The probability for the second card is 12/51 (because there's 12 spades left in 51 cards total).

The probability for the third is - you guessed it! - 11/50

so the total probability is:

[tex]\frac{13}{52} \cdot \frac{12}{51} \cdot \frac{11}{50} = \frac{1}{4} \cdot \frac{4}{17} \cdot \frac{11}{50} = \frac{1}{17} \cdot \frac{11}{50} = \frac{11}{850}[/tex]

A more generic solution:

Let's use the binomials to find the solution with combinations:

We need to pick 3 cards out of 13. This can be done in

[tex]\binom{13}{3} = \frac{13!}{3!\cdot10!}[/tex] ways.

And the total number of ways to pick 3 cards out of 52 is:

[tex]\binom{52}{3} = \frac{52!}{3!\cdot 49!}[/tex]

So the probability is:

[tex]\frac{ \binom{13}{3} }{ \binom{52}{3} } = \frac{ \frac{13!}{3!\cdot 10!} }{ \frac{52!}{3!\cdot 49!} } = \frac{ \frac{13!}{10!} }{ \frac{52!}{49!} } = \frac{13 \cdot 12 \cdot 11}{52 \cdot 51 \cdot 50}[/tex]

Which again brings us to the result computed before.

Answer:

Step-by-step explanation:

f(x) = |x - 3| + 2

g(x) = |x + 1| - 5

Answer:

12

Step-by-step explanation:

....................

Answer:

7 / 1/3

Step-by-step explanation:

Answer:

5x -11

Step-by-step explanation:

it says it there

Answer:

a=5 c=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Average salary = ($65,000 + $72,000 + ... + 88,500 )/5 = $77,100

5% of $77,100 = $3,855

15 years * $3,855/year = $57,825

Answer:

I hope this helps you :)

Answer:

11) 75.2

12) 44.2

Step-by-step explanation:

angles formed by intersecting lines tangent to a circle are the same length.

11)

Perimeter = 2(5) + 2(12) + 2(11.4) + 2(9.2) = 75.2

12)

Perimeter = 2(4) + 2(8) + 2(5.3) + 2(4.8) = 44.2

Answer:

11.25 feet

Step-by-step explanation:

The model is 1/5 or 0.2 smaller than the original water tower

0.2 x water tower height = 2.25

water tower height = 2.25 / 0.2 = 11.25

Answer:

they are right but who is not excited about the fsa this year ughhhh

Step-by-step explanation:

Answer:

um with what plz tell for I can help you

Answer:

I dont no the answer

Step-by-step explanation:

but maybe try the app socratic

Answer:

This rate in kilometers per hour is: 36 kilometers per hour. Also, the cyclist will travel 144 km in 4 hours.

Step-by-step explanation:

In order to find the rate in kilometers per hour, you have to consider that 1 meter per second is equal to 3.6 kilometers per hour and you can use a rule of three with this information:

 1 meter per second     →    3.6 kilometers per hour

10 meters per second   →                      x

x=(10*3.6)/1=36 kilometers per hour

Now, you can use the formula to calculate speed and solve for the distance:

speed=distance/time

36=distance/4

distance=36*4

distance=144 km

According to this, the answer is that this rate in kilometers per hour is: 36 kilometers per hour. Also, the cyclist will travel 144 km in 4 hours.

Answer:

-3x + 3y - 2

Step-by-step explanation:

Collect like terms and add/subtract

Answer:

y-2=3(x+7) point-slope form

Step-by-step explanation:

y-2=3(x-(-7))

y-2=3(x+7)

Answer:

[tex]\sqrt{0.5}[/tex]

Step-by-step explanation:

cosx=adj/hyp

adj= [tex]\sqrt{2}[/tex]/2

hyp= r

cos(45)= ([tex]\sqrt{2}[/tex]/2)/r

[tex]\sqrt{2}[/tex]/2 = ([tex]\sqrt{2}[/tex]/2)/r

   multiply both sides by r

([tex]\sqrt{2}[/tex]/2)r = [tex]\sqrt{2}[/tex]/2

    divide both sides by [tex]\sqrt{2}[/tex]/2

r = 1

pythagorean theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

a = [tex]\sqrt{2}[/tex]/2

b = y

c = r = 1

[tex](\sqrt{2}/2)^{2}[/tex] + [tex]y^{2}[/tex] = [tex]1^{2}[/tex]

    [tex](\sqrt{2}/2)^{2}[/tex] = 2/4 = 0.5

0.5 + [tex]y^{2}[/tex] = 1

    subtract 0.5 from 1

[tex]y^{2}[/tex] = 0.5

[tex]\sqrt{y^{2}}[/tex] = [tex]\sqrt{0.5}[/tex]

y = [tex]\sqrt{0.5}[/tex]

Answer:

0.9844

Step-by-step explanation:

This is a binomial probability problem.

Probability of getting a correct answer: p = 1/4

Probability of getting an incorrect answer: q = 3/4

Number of questions; n = 3

Thus;

probability of 2 or less correct answers is; P(x ≤ 2) = P(X = 2) + P(X = 1) + P(X = 0)

From binomial probability the formula is;

P(X = x) = C(n, x) × p^(x) × q^(n - x)

P(X = 2) = C(3, 2) × (¼)² × (¾)¹

P(X = 2) = 3 × 0.0625 × 0.75

P(X = 2) = 0.1406

P(X = 1) = C(3, 1) × (¼)¹ × (¾)²

P(X = 1) = 3 × 0.25 × 0.5625

P(X = 1) = 0.4219

P(X = 0) = C(3, 0) × (¼)^(0) × (¾)³

P(X = 0) = 0.4219

P(x ≤ 2) = 0.1406 + 0.4219 + 0.4219

P(x ≤ 2) = 0.9844

Answer:

pyramid

Step-by-step explanation:

gooooooooooooooooooooooooooooooogle

Answer:

Answer :prisms and pyramids

Answer:

The true properties of segment MN are;

1) MN is parallel to CB

2) MN = 2

Step-by-step explanation:

From the figure, we have;

The length of segment AN = 1

The length of segment NC = 2 = 2 × The length of segment AN

The length of segment AM = 1.8

The length of segment MB = 3.6 = 2 × The length of segment AM

The length of segment AC = 1 + 2 = 3

The length of segment AB = 1.8 + 3.6 = 5.4

Therefore, the length of transversal segments AC and AB are proportionally cut by the two lines, MN and CB

By the triangle proportionality theorem, two transversals are proportionally divided when they are crossed by two or more parallel lines

1) Therefore, lines MN and CB are parallel lines

Whereby we have that MN CB, we get;

ΔAMN ~ ΔABC

Therefore;

AN/AC = MN/CB

Plugging in the values, we get;

1/3 = MN/6

NM = 6 × 1/3 = 2

2) MN = 2

The length of segment CB = 6

Therefore, what must about segment MN are;

MN is parallel to CB and MN = 2.

By applying properties of similar triangles we got that MN is equal to 2 units.

Triangles whose shape are same are known as similar triangle .

In the given figure we can see that

in triangle  ABC and AMN

AN=1  

NC=2

So AC= AN+NC=1+2=3

AM=1.8

MB=3.6

So AB=AM+MB=5.4

[tex]\frac{AN}{NC}=\frac{1}{3} \\\\[/tex]

and

[tex]\frac{AM}{AB} =\frac{1.8}{5.4}=\frac{1}{3}[/tex]

And angle A is common in both triangles

Hence by SAS property  triangle  ABC and AMN are similar .

So

[tex]\frac{MN}{CB}=\frac{1}{3} \\\\\\\\\frac{MN}{6}=\frac{1}{3} \\\\\\\\MN=2[/tex]

By applying properties of similar triangles we got that MN is equal to 2 units.

To learn more about similar triangles visit:https://brainly.com/question/2644832