A road crew uses the triangles shown in the diagram to
measure the width of a sinkhole across a highway from a safe
distance away. How wide is the sinkhole?

A Road Crew Uses The Triangles Shown In The Diagram Tomeasure The Width Of A Sinkhole Across A Highway

Answers

Answer 1

Answer:

18 ft

Step-by-step explanation:

Both triangles shown are congruent.

Answer 2

By the concept of transversal lines and vertically opposite angles, we conclude that the width of the sinkhole is 18 feet.

What is a transversal?

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know when a transversal intersects a parallel line vertically opposite angles are equal and we also know that sides opposite to similar angles have the same length.

∴ The width of the sinkhole is also 18 feet.

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Related Questions

Simplify the following expression
(-1+i)+(21+5i)
A. 0 -1+ (1+21) + 5i
B. 20+68
C. 20+5i
D 22+6i

Answers

Answer:

i would say the answer is 20 + 6i but thats not an answer

-1 + 21 = 20

and

i + 5i = 6i

so

20 + 6i

hope this helped!

The system of linear equations y = 2 x minus 1 and y = negative 4 x minus 1 is graphed below. On a coordinate plane, 2 lines intersect at (0, negative 1). What is the solution to the system of equations? (0, –1) (–1, 0) (0, 1) (1, 0)

Answers

Answer:

0, -1

Step-by-step explanation:

trust me I just took the exam on edge 2020

The solution to the given system of equations will be (0, -1). which is the correct option (B).

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

The system of linear equations y = 2 x minus 1 and y = negative 4 x minus 1 which is given in the question.

y = 2x - 1     ....(i)

y = -4x - 1   ....(ii)

Substitute the value of equation (i) in equation (ii) and solve for variable x :

2x - 1 = -4x - 1

Rearrange the terms of variable "x" and combine them,

2x + 4x = -1 + 1

6x = 0

x = 0

Substitute the value of x = 0 in equation (ii) and solve for variable y :

y = -4(0) - 1

y = -1

Therefore, the solution to the given system of equations will be (0, -1).

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what is the slope of the graph please help!!

Answers

Answer:

D 3

Step-by-step explanation:

Answer:

D) 3

Step-by-step explanation:

The rise of the line is 3 and the run is 1. Rise/Run is the answer so in this case, it is 3/1 or 3. Since the line rises left to right, the slope is positive.

Hope it helps!

Find the exact length of the third side.

Answers

Answer:

[tex]24x^{2} +7x^{2} =[/tex]

step-by-step explanation:

You have to solve this to get your answer. This is a case where you have to use the pythagorean theorem.

Answer:

this is a right angle triangle.

which means that we can use hypotenuse theorem to solve it.

the hypotenuse theorem:-

a^2 +b^2 =c^2

where a and b are the sides opposite to the hypotenuse.

[(the longest side) the longest side of the triangle is always opposite to the right angle]

so...

a = 24

b = 7

a^2 + b^2 = c^2

24^2 + 7^2 = c^2

576 + 49 = c^2

625 = c^2

don't stop here, you could lose marks. I have seen my classmates do this silly and small mistake and lose 1/2 a mark.

√625 = c

25 = c

thus the length of the third side is 25.

Step-by-step explanation:

i hope this helps.

have a good day :)

-7(x-4)

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

Answers

Answer:

28−7x

i think :]

Adam takes a bus from school to his house. If Adam lives 20 km from
school and it takes him 10 minutes to get there, what was the average
velocity of the trip?
1.0 km/min
1.5 km/min
O2.0 km/min
O 2.5 km/min

Answers

Answer:

2.0 km/min

Step-by-step explanation:

20/2=10

Hope this helps!!!

Answer:

2.0 km/min

Step-by-step explanation:

To find the average velocity, divide the number of km by the number of minutes:

20/10

= 2

So, the average velocity of the trip was 2.0 km/min

Markers were placed at altitudes of 10 and 15 feet below sea level.
Enter the integer that represents the altitude closer to sea level.

Helppppppppp please

Answers

Answer:

|10|

Step-by-step explanation:

Since 10 is negative (below the sea level), 10 is 10 spaces away from zero on the number line, meaning your answer is |10|.

HELP DO NOT KNOW HOW TO DO THIS!!!!!!!

Answers

Answer:

x = 8

Step-by-step explanation:

( 6x + 1 ) + 90 + ( 5x + 1 ) = 180

6x + 1 + 90 + 5x + 1 = 180

11x = 88

x = 8

50 POINTS An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. The wind velocity is 56 miles/hour at a bearing of 325°. What are the plane's actual speed and direction angle? (hint: the direction angle is measured from the positive x-axis in a counter-clockwise direction)
A.
The speed is 179.82 miles/hour, and the direction angle is 100.60°.
B.
The speed is 179.82 miles/hour, and the direction angle is 349.40°.
C.
The speed is 196.77 miles/hour, and the direction angle is 115.60°.
D.
The speed is 196.77 miles/hour, and the direction angle is 349.40°.

Answers

Answer:

the speed is 179.82 miles/hour .and the direction angle is 100.60

I believe you should pick A

help me and the 4 one says how many tables in a row are needed to seat 127 students explain your answear i have 30 minutes please hurry​

Answers

Answer:

#1 Is 7 Students

#2 Is 9 Students

#3 Is 16 Students

#4 is 125 tables

EASY ANSWER!! Which ordered pair is a solution of y<-4x – 5?

Answers

Answer:

5x -4 ?

Step-by-step explanation:


Which statement is true?

Answers

Answer: A

Step-by-step explanation:

Square root of 35 is 5.9161

Heya! I need a check me up lol

Answers

Answer:

That is a plant cell

Step-by-step explanation:

If george drives at a steady rate of 65 miles per hour, how many miles will he travel in 1.5 hours

Answers

He will travel the distance of 97.5 miles

Which expressions are factors of this polynomial? Select all the correct answers. 2x^4+x^3-29x^2-34x+24

Answers

Answer:

-2x=24 x=-12. 4(x – 3) = 2(x+8). 48-12=2x+16 ax=28. (x=14. -X-3=7. 8. 3 x 10.

Step-by-step explanation:

36 - (-4) + 5+ (-10) =

Answers

Answer:

=35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

remove parentheses, then solve

36 - (-4) + 5+ (-10) =

36 + 4 + 5 -10 // -(- turns into a plus. +(- stays the same, 10 remains negative.

35

hope this helps

1/2x+5=10 whats the value of the variable

Answers

Answer:

1/2x+5=10

subtracting 5 from both sides 1/2x+5-5=10-5

1/2x=5

divide both sides by 1/2

1/2x÷1/2=5÷1/2

x=5×2/1

x=10

Find the value of x when 6−4x=6x−8x+8.

Answers

X=-1
I double checked it

Answer:

8x+8.

Step-by-step explanation:

August is making dinner for 8 people. She opens 7 cans of soup. Each can is 16 ounces. If everyone gets the same amount of soup, how much soup will each person get?

This is for my sister, and her teacher said that the correct answer is 3.5 ounces. If anyone gets this answer, please show how you got the answer...thank you!

Answers

Answer:

14oz soup/ person

Step-by-step explanation:

the answer would be 14oz of soup/person

multiply 7 (cans of soup) by 16 (oz per can)

7*16=112

divide 112 (oz of soup total) by 8 (number of people feeding)

112/8=14

to the nearest tenth

Answers

Dang your device is so dim turn it up I can’t read the question
Hii!attached is a pic of the answer!have a good day!

What is the meaning of gcf in math terms

Answers

Greatest common factor

Please help!! I need this answer please!! i will mark brainliest if correct thanks!!!

Answers

9514 1404 393

Answer:

  (0.5, -2.5)

Step-by-step explanation:

Each of the coordinates of B(1, -5) is multiplied by the scale factor, 0.5:

  B' = (0.5·1, 0.5·(-5)) = (0.5, -2.5)

The coordinates of B' are (0.5, -2.5).

On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1). Triangle 2 has points at A prime (4, negative 2), B prime (3, negative 5), C prime (5, negative 5).
Which rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C'?

(x, y) → (x + 7, y + 6)
(x, y) → (x + 7, y – 6)
(x, y) → (x – 6, y + 7)
(x, y) → (x + 6, y + 7)

Answers

Answer:

On a coordinate plane, 2 triangles are shown. Triangle F G H has points (1, 1), (4, 5), (5, 1). Triangle F prime G prime H prime has points (negative 1, negative 1), (negative 4, negative 5), (negative 5, negative 1). What are the coordinates of vertex F" of ΔF"G"H"?

Step-by-step explanation:

It's B. (x, y) → (x + 7, y – 6)

What is the initial value in this question y=8x+6 8 or 6?

Answers

Answer:

it should be an 8

Step-by-step explanation:

The initial value in this question y = 8x+6 will be 8 .

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The equation is given as;

y = 8x+6

We can see that the equation contains two terms that are 8x and 6.

The initial value is the first number of the first term in the equation.

Here, the first term is 8x.

Hence, the initial value in this question y = 8x+6 will be 8 .

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What is the solution to 39/45 - 2/3

Answers

Answer:

0.2

Step-by-step explanation:

just subtract

need this, please. real fast

Answers

Answer:

y=(-9/5)x-3

Step-by-step explanation:

to find m:substitute -5 in x value,-3 in c value and 6 in y value in the equation y=mx+c.then,rewrite equation by substituting value of m and c

Determine if the two triangles are congruent. If they are, state how you know.
Can someone help me?

Answers

Answer:

C

Step-by-step explanation:

the hypotenuse and the leg of the first right angle are congruent to the other triangle's.

Can someone help please. I will give brainliest :)

Answers

Answer:

the answer is C bcuz when you add 77 with 99 you get 176 and 176 is only divisible with 11

Step-by-step explanation:

A survey of 100 doctors revealed that 2 put of every 5 doctors recommended Brand M deodorant. Based on the results, how many doctors did NOT recommend Brand M.


A.20
B.60
C.140
D.40​

Answers

Answer:

B. 60

Step-by-step explanation:

Don’t tell me the steps just answer please!!!

Answers

Answer:

A, D, F

Step-by-step explanation:

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