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Kisachek [45]
3 years ago
12

If EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH

Mathematics
1 answer:
olga55 [171]3 years ago
8 0

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

\angle EFG=\angle EFH+\angle HFG

18x+11=(5x+1)+(62)

18x+11=5x+63

Isolate variable terms.

18x-5x=63-11

13x=52

Divide both sides by 13.

x=\dfrac{52}{13}

x=4

The value of x is 4.

\angle EFH=(5x+1)^\circ

\angle EFH=(5(4)+1)^\circ

\angle EFH=(20+1)^\circ

\angle EFH=21^\circ

Therefore, the measure of ∠EFH is 21°.

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4 cm

Step-by-step explanation:

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Area = base * height

120 = base * 30

Base = 120 / 30

Base of parallelogram = 4 cm

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If Tan x = 3/4, and 0
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Step-by-step explanation:

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In a survey of more than 6000 people are 95% of the respondents claimed to prefer Penelope‘s puffy popcorn over any other brand
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2 years ago
Please help?!
Anton [14]

Answer:

Δ PQT ~ Δ QRS  .....{S-S-S test for similarity}...Proof is below.

Step-by-step explanation:

Given:

In Δ PQT

PQ = 30 ft

QT = 28 ft

TP = 20 ft

In Δ QRS

QR = 15 ft

RS = 14 ft

SQ = 10 ft

To Prove:

Δ PQT ~ Δ QRS

Proof:

First we consider  the ratio of the sides

\frac{PQ}{QR}=\frac{30}{15} = \frac{2}{1}            ..............( 1 )

\frac{QT}{RS}=\frac{28}{14} = \frac{2}{1}            ..............( 2 )

\frac{TP}{SQ}=\frac{20}{10} = \frac{2}{1}            ..............( 3 )

So By equation ( 1 ), ( 2 ) and  ( 3 ) we get

\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}

Now in Δ PQT  and Δ QRS we have

\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}

Which are corresponding sides of a similar triangle in proportion.

∴ Δ PQT ~ Δ QRS  .....{S-S-S test for similarity}...Proved

8 0
3 years ago
Which is f(-1) for the function f(x)= 3x^2+9
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Answer:

C.  f(-1) =12

Step-by-step explanation:

f(x)= 3x^2+9

Let x=-1

f(-1) = 3(-1)^2 +9

      = 3(1)+9

      = 3+9

      = 12

f(-1) =12

4 0
3 years ago
Read 2 more answers
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