3 years ago

I need the answer to a and b

Mathematics

1 answer:

erica [24]3 years ago

7 0

Answer:

a. x = 7

b. x = 36/5

Step-by-step explanation:

Points to remember

The ratio of of corresponding sides of similar triangles are equal.

a). To find the value of x

From the figure 1 we get two similar triangles, ΔABC and ADE

We can write,

AB/AD = AC/AE

3/6 = x/(x + 7)

3(x + 7) = 6 * x

3x + 21 = 6x

6x - 3x = 21

3x = 21

x = 21/3 = 7

b). To find the value of x

From the figure b we get

ΔABC ~ ΔEDF

AB/DE = BC/DF

4/5 = x/9

x = (4 * 9)/5 = 36/5

You might be interested in

Please help ASAP.

Dvinal [7]

Answer:

the freak

Step-by-step explanation:

3 0

3 years ago

Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 4 years. Quest

MaRussiya [10]

(1.02(1.02(1.02(1.02(1500))))) = 1623.64

1623 deer after 4 years

7 0

3 years ago

Two friends left school at the same time and drove in opposite directions. One friend averages 40 miles per hour and the other f

EastWind [94]

The two friends will be 150 miles apart, when the sum of the distances covered by the them is 150 miles.

distance = speed x time.
Let the time covered when they are 150 miles apart be x, then:
40x + 35x = 150
75x = 150
x = 150/75 = 2.

Therefore, the two friends will be 150 miles apart in 2 hours.

3 0

4 years ago

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.

scoundrel [369]

Answer:

8(15 – m)

Step-by-step explanation:

Just Did The Test

7 0

3 years ago

Read 2 more answers

5x + 8 − 3x = −10 x = −9 x = −1 x = 1 x = 9

zvonat [6]

Answer:

-9

Step-by-step explanation:

7 0

4 years ago