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
nadya68 [22]
3 years ago
13

What is the length of AC?

Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0
When the question says that triangle ABC ~ triangle DEF, that means the triangles are similar. This means that their proportions are the same.
In triangle ABC, side length AB is the equivalent of side length DE in triangle DEF.

Since the proportions must be the same, we can take the known side from triangle ABC, find the equivalent of it on triangle DEF, and find the proportions.
We already found that side length AB ~ side length DE.
Now we can divide the lengths to find the proportions.
28 / 8 = 3.5
This means that each side on triangle ABC will be 3.5 times greater than the equivalent side on triangle DEF.

The length of AC in triangle ABC is 3.5 times the length of DF in triangle DEF.
Side length DF is 10.
Multiply 3.5 by 10 to get the length of AC.
3.5 • 10 = 35
So the length of AC is 35 units.

Answer:
Side length AC in triangle ABC is 35 units.

Hope this helps!
You might be interested in
For the function F(x) = 1/x+2, which of these could be a value of F(x) when xis
hram777 [196]

Answer:

B 2

Step-by-step explanation:

The computation of the value of f(x) in the case when x = 2 is shown below

As per the question, following function is given

F(x) = (1 ÷ x) + 2

Based on this, the x = 2

Now put the x value in the above equation

So,

= (1 ÷ 2) + 2

= (1 + 4) ÷ 2

= 5 ÷ 2

= 2.5

Hence the closet number is 2

Therefore the value of f(x) in the case when x = 2 is 2

Hence, the correct option is b.

5 0
3 years ago
Read 2 more answers
A refrigerator box measures 11 feet by 6 feet by 6 feet Sam decides to fill up the box three-fourths with trash how much space w
IRINA_888 [86]

Answer:

297 feet

Step-by-step explanation:

11 × 6 × 6 = 396

396 × 3/4= 297 ft

3 0
3 years ago
How to estimate 96 Times 34 what is the answer
Marrrta [24]

When it says to estimate, I always think of doing it by hand to show work.  So set it up like this:

  96

<u>x 34</u>

So follow it out multiplying across 4*6 and 4*9 carrying over as needed to get it to look like this:

  96

<u>x 34</u>

384


Do the same for the 3 to get this:

  96

<u>x 34</u>

  384

2880

Add 384+2880=3264

Your final answer is 3,264

6 0
3 years ago
a picture has painted 75% of a wall the area so far is 108 square feet what is the total area of the wall that he needs to paint
Kipish [7]

Answer:

27 more

Step-by-step explanation:

k

4 0
3 years ago
Read 2 more answers
On a piece of paper, use a protractor and a ruler to construct triangle ABCABC with ABAB = 8 cm, m∠Am∠A = 90°90° , and m∠Bm∠B =
Lyrx [107]
<span>∠B = 45°
</span><span>∠A = 90°
so
</span>∠C = 45° = ∠B
and
<span>AB = AC = 8
answer
AC = 8 cm</span>
6 0
3 years ago
Other questions:
  • How many different ways can 12 racecars finish in first, second, and third place?
    10·1 answer
  • Which of the following best describes the equation below?
    5·1 answer
  • Please answer What is the turning point of the graph of f(x) = |x + 4| ? (0, –4) (–4, 0) (4, 0) (0, 4)
    9·1 answer
  • a rocket was launched into the air from a platform above the ground. The height, in feet, of the rocket above the ground t secon
    14·1 answer
  • Solve for x. <br><br> 5 + x + (-2) = -8<br><br><br> x =
    13·1 answer
  • One of your friends eats lunch in the cafeteria sometime between 12:00 P.M. And 12:30 P.M. Another friend eats lunch in the cafe
    7·1 answer
  • A scout troop is planting trees at the state park. The troop planted 7 trees in 3 hours. At that rate, how many trees will they
    15·1 answer
  • Which expression entered into a graphing calculator will return the probability
    9·1 answer
  • Joe earns $1,475 per month as a clerk at Elm City Sporting Goods. How much does he earn in a year? Explain how you got your answ
    8·2 answers
  • A line passes through the points (1, 4) and (3, –4). Which is the equation of the line? y = negative 4 x + 8 y = –2x + 6 y = neg
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!