At the same time a 50-foot cell phone tower casts a 32-foot shadow, a nearby light post casts a 20-foot shadow. How tall is the light post?

Answer:

x=7

Step-by-step explanation:

Since this is an isosceles triangle the two angles are equal.

3x+6 = 5x-8

Subtract 3x from each side

3x+6-3x = 5x-8-3x

6 = 2x-8

Add 8 to each side

6+8 = 2x-8+8

14 = 2x

Divide each side by 2

14/2 = 2x/2

7 = x

Answer:

x = 7

Step-by-step explanation:

Its two angle is equal so, it is isosceles triangle.

3 x + 6 = 5 x - 8 .. ( in isosceles triangle two side are equal).

3 x + 6 = 5 x - 8

Subtract 3 x from both side

3 x - 3 x + 6 = 5 x - 3 x - 8

6 = 2 x - 8

add 8 to each side

6 + 8 = 2 x - 8 + 8

14 = 2 x

Divide each side by 2

14 / 2 = 2 x / 2

7 = x

Answer:

85 degree

Step-by-step explanation:

The angle vertically opposite to 85 be y

y = 85 (since V.O.A are equal)

Then x and y are corresponding angles

x = 85 (since corresponding angles are equal)

Hope u understand

Please mark as brainliest

Thnk You

Answer:

-2/5

Step-by-step explanation:

Given the expression

-4/5 ÷ 2

= -4/5 * 1/2

= (-4*1)/(5*2)

= -4/10

= -2/2 * 2/5

-2/5

Hence the required values is -2/5

Answer:

x = 46.7°

Step-by-step explanation:

We are given:

1.) Angle x

2.) Side opposite to angle x

3.) Hypotenuse

We have to find angle x, therefore Sin ratio would be used;

Sin(x) = Opposite / hypotenuse

Sin(x) = 4 / 5.5

x = Sin⁻¹(4/5.5)

x = 46.7°

Hope this helps!

Answer:

It is D, I think it’s because the letters need to be around in the same order

The angle corresponding to each other of different triangle are equal.

"Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion".

Here given,

[tex]\triangle JGR[/tex] is similar to triangle [tex]\triangle MST[/tex]

So, from the definition of similar triangle ,

angle J ≅ angle M

angle G ≅ angle S

angle R ≅ angle T

Hence, option D is correct.

To know more similar triangle here

https://brainly.com/question/25882965

#SPJ2

Answer:

x² + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

(7x² + 8x - 4) - (6x² + 8x - 6)

Step 2: Simplify

Answer:

x ² + 2

Step-by-step explanation:

7 x² + 8 x - 4 - 6 x² + 8 x - 6

combine like terms

7 x² - 6 x² + 8 x - 8 x - 4 + 6

x² - 4 + 6

x ² + 2

Answer:

31 questions, but it's impossible to score 75%.

Step-by-step explanation:

It's impossible to get exactly a score of 75% out of 42 questions. However, you can get the next closest percentage, which is rounded up to 74% with 31 questions right out of 75.

This is because 31 / 42 = 0.738... You can round 0.738 to 0.74. Then multiply 0.74 by 100, which gives you 74. This means the closest score you can get to 75 is 74% with 31 questions.

You can also score 76% with 32 questions right out of 42 questions. This is because 32 / 42 = 0.761... You can round 0.761 to 0.76. Then multiply 0.76 by 100, which gives you 76.

Answer:

Top left Equation:  [tex]\frac{2}{3} + (- 2 \frac{1}{3} ) = - 1 \frac{2}{3}[/tex]

Step-by-step explanation:

You start at 2/3, or the left side.

Since the line is directing left, you are subtracting, or adding a negative.

If you see, you are moving 7 - 1/3s to the left

7 x 1/3 = 7 / 3

7 / 3 = 2 1/3

And 2/3 + (-2 1/3) = -1 2/3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

I think...I repeat I am not sure. The answer is C.

In a straight line, like the one presented before you, there is 180 degrees. So that means 115 degrees + x is gonna equal 180.

So that means, x is gonna be 180 - 115. So x is 65 degrees

Answer:

Complementary angles

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees.

Answer:

complementary

Step-by-step explanation:

The angles are part of a right angle as shown by the square.

Complementary angles are angles that add up to 90˚

since x-15 and 2x are parts of the right angle, they add up to 90

Answer:

C. 5.2

Step-by-step explanation:

5.2

Answer:

C. 5.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = f(x + 2) +1

Answer:

Step-by-step explanation:

18/6=51/p

do cross multiplication

6*51=p*18

306/18=p

17=p

therefore perimeter is 17 cm

Answer:

[tex] - 22 {z}^{8} [/tex]

Answer:

name=circle area= 2 x pi x 6square

Step-by-step explanation:

Answer:

Step-by-step explanation:

Name of a figure=circle

radius=diameter/2

=12/2

=6

area=πr^2

=3.14*(6)^2

=3.14*36

=113.04 in^2

Answer:

204 out of 400 students are boys; 204

Step-by-step explanation:

x/400 = 51/100

100x = 51 x 400

100x = 20400

100x/100 = 20400/100

x = 204

DEKU

Answer:

201-boys   199-girls

i dont think if my answer are right..

Step-by-step explanation:

These 3 combinations are possible

Answer:

60°

Step-by-step explanation:

180 - 33 - 187 = 60

Answer:

[tex]x=60\\y=120[/tex]

Step-by-step explanation:

A triangle is always 180 degrees...

Form an equation to solve:

[tex]x+33+87=180[/tex]

[tex]x+120=180[/tex]

[tex]x=180-120[/tex]

[tex]x=60[/tex]

To find y:

(Angles on straight line = 180)

[tex]y=180-x[/tex]

(replace x with 60)

[tex]y=180-60[/tex]

[tex]y=120[/tex]

hope this help :)

Answer:

2x²√13

Step-by-step explanation:

√52x⁴ = √4×13×x⁴ = 2x²√13

Answer:

190 feet below sea level

Step-by-step explanation:

d = -310 + 15m

d = -310 + 15(8)

d = -310 + 120

d = -190

Answer:

Step-by-step explanation:

5). Triangle DEF is an equilateral triangle.

Therefore, measure of all sides and the angles of the triangle will be equal.

DE = EF = DF = 5.2 ft

3y + 1 = 5.2

3y = 5.2 - 1

3y = 4.2

y = 1.4

Similarly, m∠D = 60° [Measure of all angles of an isosceles triangle = 60°]

(5x)° = 60°

x = [tex]\frac{60}{5}[/tex]

x = 12

6). Property to be used in ΔFGH,

"Two sides of an isosceles triangle are equal in measure and opposite angles of the equal sides of the triangle are equal"

FG = GH

3y = 12.9

y = 4.3

m∠F = m∠H

4x = 44

x = 11

Answer:

A

Step-by-step explanation:

The length of CD represents the distance between the points C and D. Counting the points between them, if we start from point D, we need to get through points 1, 2, and 3 to get to C. That is 3 units, or A

Answer:

The solutions are  x=6,x=12

Step-by-step explanation:

solution is in the file attached below

Answer: HI There I think that I can help You!

Girls:

Range:66

Lower Quartile: 22

Upper Quartile: 56

IQ Range: 34

Mean Absolute Deviation: 19.4

Boys:

Range: 75

Lower Quartile: 12

Upper Quartile: 45

IQ Range: 33

Mean Absolute Deviation: 20.8

Step-by-step explanation:

Answer:

give my guy that brainliest

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

a line segment is a line that has a endpoint on both sides

Answer:

x = 2.5

Step-by-step explanation:

3.25x = 8.125

Divide each side by 3.25

3.25x/3.25 = 8.125/3.25

x =2.5

Answer:

x = 2.5

Step-by-step explanation:

3.25x = 8.125

then divide both sides by 3.25 to get x on its own

x = 2.5

Answer:

3

Step-by-step explanation:

here is explain.

2*3+3 = 9

number 3 from the replacement set makes the equation