All categories

2 years ago

Use the graph. Which equation is true from the information in the graph?

Mathematics

1 answer:

Nikolay [14]2 years ago

7 0

From the graph, we see that two similar triangles are created by using the slope of the line.
• Because the two triangles appear to have congruent angles and proportional side lengths, we can conclude with the information we have that the two triangles are indeed similar. They are the same shape but proportional with congruent angles.
• Therefore, a/b = c/d because the scale factor remains the same of both ratios.
•We can also see that in larger triangle, the slope = 3/6 and the slope of the smaller one = 2/4. 3/6 = 2/4 because 3/6 = 1/2 and 2/4 = 1/2. Therefore, the slopes are proportional and equal.
• Because the slopes are proportional and the triangles are proportional, the a/b = c/d.

You might be interested in

The moon is 250,000 miles away.Haw man feet is it from earth

12345 [234]

The answer is " 1320000000 ft " away

5 0

2 years ago

What is the length of segment AE?

nexus9112 [7]

Answer:

$AE=\frac{50}{3}\ units$

Step-by-step explanation:

step 1

In the right triangle ABC

Applying the Pythagoras Theorem fin the hypotenuse AC

$AC^{2} =AB^{2}+BC^{2}$

substitute

$AC^{2} =6^{2}+8^{2}$

$AC^{2} =100$

$AC =10\ units$

step 2

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

$\frac{AB}{CD}=\frac{AC}{CE}$

substitute and solve for CE

$\frac{6}{4}=\frac{10}{CE}\\ \\CE=4*10/6\\ \\CE=\frac{20}{3}\ units$

step 3

Find the length of segment AE

AE=AC+CE

substitute the values

$AE=10\ units+\frac{20}{3}\ units=\frac{50}{3}\ units$

6 0

3 years ago

I really need help on this question

statuscvo [17]

Answer:

its the third one

Step-by-step explanation:

3 0

2 years ago

I need help! I forgot how to do this!! Please help!

Dovator [93]

First change the mixed fraction into an improper fraction

7 1/2 = 15/2

Next, change multiply 2 to both numerator and denominator

15 x 2 = 30

2 x 2 = 4

30/4

Each piece needs 3/4 of an inch. Divide 30 with 3

30/3 = 10

c) 10 pieces is your answer

hope this helps

8 0

2 years ago

Read 2 more answers

together, steve and tom sold 7777 raffle tickets for their school. steve sold 1414 more than twicetwice as many raffle tickets

storchak [24]

Steve = S , Tom = T
1) S+T = 7777
2) S= 1414 + 2T

put 2) in 1)

1414+2T + T = 7777
1414 +3T = 7777
3T = 6363
so T = 2121
then Steve sold 1414+2(2121) = 1414+4242=5656 tickets
while Tom sold 2121 tickets

5 0

3 years ago