1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Novay_Z [31]
3 years ago
7

Study the road plan shown in the figure. A service station will be built on the highway, and a road will connect it with Cray. H

ow long will the new road be?
A.180 mi


B.120 mi


C.240 mi


D.300 mi

Mathematics
2 answers:
elena55 [62]3 years ago
4 0
The answer is C. Hope this helps! 
Lapatulllka [165]3 years ago
3 0

Answer: C.240 mi

Step-by-step explanation:

In the given picture, Let ABC be the bigger triangle and BDC be the smaller triangle.

Then, In ΔABC and ΔBDC

∠C=∠C

∠D=∠B =90°

Therefore, ΔABC ≈ ΔBDC  [By AA similarity rule]

We know that the sides of similar triangles are proportional, then

\frac{AB}{BD}=\frac{AC}{BC}\\\\\Rightarrow\ \frac{400}{x}=\frac{500}{300}\\\\\Rightarrow\ x=\frac{3\times400}{5}\\\\\Rightarrow\ x=240\ mi

Hence, The length of new road = 240 mi

You might be interested in
HURRY PLEASE DON'T HAVE MUCH TIME TO FINISH!
dybincka [34]

Answer:

The beam should be placed 8 feet from the center.

Step-by-step explanation:

The struts are y = √(x + 8) and y = √(x − 4).  The struts are 2 feet apart at the location of the beam:

√(x + 8) − √(x − 4) = 2

Solving:

√(x + 8) = 2 + √(x − 4)

x + 8 = 4 + 4√(x − 4) + x − 4

8 = 4√(x − 4)

2 = √(x − 4)

x − 4 = 4

x = 8

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME ON THIS!!!!
exis [7]
The last two choices are appropriate.

Both give you f(1) = 7, f(2) = 9.50, f(3) = 12.00, ... as they should.
7 0
4 years ago
Can sides of a triangle have lengths of 3, 11, and 12 ??
agasfer [191]

Answer:

QUESTION:

Can sides of a triangle have lengths of 3, 11, and 12 ??

ANSWER:

Yes. It's called an equilateral triangle, and it can work because two side lengths added together are bigger than the third side.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

5 0
3 years ago
Simplify the following expression: <br> -3y+15-(x+2)+5y-13
Roman55 [17]

Answer:

2y-x is the answer

5 0
3 years ago
Read 2 more answers
Which of the following represents x = y written in general form? 2 x - y = 0 1/2 x - y = 0 x - 1/2 y = 0
Marta_Voda [28]

Answer:

x - y = 0

Step-by-step explanation:

General form of equation of straight line is

ax + by = c

that is we have to keep terms containing x and y on LHS and term independent of x and y on RHS.

given

x = y

there, no term independent of x and y

now we have to bring y one RHS

for that we subtract y from LHS and RHS

x - y = y -y

=> x - y = 0

Thus, option x - y = 0 is the correct answer.

4 0
3 years ago
Other questions:
  • The sum of 3 consecutive integers is 72. What are the integers?
    13·2 answers
  • What is 4,597,852 rounded to the nearest hundred thousand ​
    7·1 answer
  • GIven the equation LaTeX: y=\frac{2}{3}x-1y = 2 /3 x − 1, determine the slope of the line.
    8·1 answer
  • I wish to determine the correlation between the height (in inches) and weight (in pounds) of 21-year-old males. To do this, I me
    15·1 answer
  • Need help on number four
    13·1 answer
  • What is 7.06 divide 0.353
    6·1 answer
  • Please help with # 9
    10·1 answer
  • If a circle has a diameter of 30 meters, which expression gives its area in<br>scuare meters​
    6·2 answers
  • How many 1/16 of an inch is in 1 5/8 inch?
    7·1 answer
  • If its height is y, then what polynomial represents the length of a side of the square base​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!