10. WHAT is any trapezoid. A straight line
parallel to the bases cuts [WT], [WA), and to
E, G, and F respectively.
H
a) Calculate WE and ET such that WT = 30 and
2FA = 3HF.
b) Calculate HF, FA, WE and ET such that
HA = 8, WT = 12 and GA = 2WG.
Please answer asap
Hint:using Thales theorem

(a) ET = 18 and WE = 12

(b) FA = 16/3

     HF = 8/3

     ET = 8

     WE = 4

Explanation:

WT = 30 ( WE + ET = 30)

WE = 30 - ET

2FA = 3HF

FA = 3/2HF

WE =?, ET = ?

Line WH, EF and TA are parallel to each other.

(a)

ΔWTA and ΔWHA are congruent to each other

Therefore, by congruency

So,

30 - ET/ ET = HF / 3/2HF

30 - ET / ET = 2HF / 3HF

30 - ET / ET  = 2/3

On solving the above equation we get, ET = 18

WE = 30 - ET

WE = 30 - 18 = 12

Therefore, ET = 18 and WE = 12

(b)

HA = 8 ( HF + FA = 8)

HF = 8 - FA

WT = 12 ( WE + ET = 12 )

WE = 12 - ET

GA = 2WG

HF, WA, WE, ET = ?

ΔWHA and ΔGFA are congruent

So,

8 - FA / FA = WG / 2 WG

On solving the above equation we get,

FA = 16/3

HF + FA = 8

HF + 16/3 = 8

HF = 8/3

ΔWTA and ΔWEG are congruent

So,

12 - ET / ET =  WG / 2WG

On solving the above equation, ET = 8

WE = 12 - ET

WE = 12 - 8

WE = 4

Therefore, FA = 16/3

                  HF = 8/3

                  ET = 8

                  WE = 4

4+n=5

step-by-step explanation:

this is because the four is four hours and the n represents the 1 extra hour over the weekend.

b= i'm srry i don't know that one.

4+n=5 n=1 because if vernon plays 5 hours a week then 4+1=5 hours.

hope this : )

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have