Examine the following figure, where DE

Sorry for the image you have to turn your phone a little

Can anyone help me figure out what answer is for ASAP

A
B
C

Blank A = 60 units

Blank B = Triangle proportionality theorem

Blank C = 100 units

Solution:

Given DE || AC.

AD = 32, DB = 48, CE = 40

Let first find the measure of EB using triangle proportionality theorem.

If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

Do cross multiplication.

Divide by 32 on both sides of the equation.

EB = 60

Blank A = 60 units

Blank B = Triangle proportionality theorem

To find the measure of BC:

BC = CE + EB

     = 40 + 60

     = 100

BC = 100

Blank C = 100 units

Option (b) 10 to 20

Step-by-step explanation:

Let the number obtained between the interval be 'x'

Therefore,

according to the question:

multiplying the number with 4 and then adding 8 to it to get 60

thus,

mathematically, we get

4x + 8 = 60

or

4x = 60 - 8

or

4x = 52

or

x = 13

Hence,

The 13 lies between the interval 10 to 20

Option (b) 10 to 20