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podryga [215]
4 years ago
15

What theorem or postulate can be used to justify that HIG=FIE

Mathematics
2 answers:
Doss [256]4 years ago
7 0

Answer: A. SAS

Step-by-step explanation:

In the given picture , we have two triangles ΔHIG and Δ FIE , in which

\overline{HI}\cong\overlien{FI}   [given]

\angle{HGI}\cong\angle{FEI}   [given]

Also, \angle{HIG}\cong\angle{FIE}    [Vertically opposite angles]

Therefore by SAS congruence postulate we have

\triangle{HIG}\cong\triangle{FIE}

  • SAS congruence postulate says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle then we say that the two triangles are congruent.
oksano4ka [1.4K]4 years ago
3 0

Answer:

A

Step-by-step explanation:

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Which expression is equivalent to<br> (5^-2)(5^-1)<br> A. -1/125<br> B. -1/5<br> C. 1/125<br> D. 1/5
n200080 [17]

Answer:

1/125

Step-by-step explanation:

(5^-2)(5^-1) = 5^-3=1/5^3=1/125

3 0
3 years ago
Adena, Julius, and Tia volunteered to read to children at the public library. Julius worked two hours less than Tia. Adena worke
mafiozo [28]

Answer:

28 hours

Step-by-step explanation:

Adena, Julius, and Tia volunteered to read to children at the public library.

Let us represent, the number of hours worked by

Adena = x

Julius = y

Tia = z

Julius worked two hours less than Tia.

y = z - 2

z = y + 2

Adena worked twice as many hours as Julius.

x = 2y

Altogether they worked 58 hours.

x + y + z = 58.... Equation 1

We substitute 2y for x and y + 2 for z in Equation 1

2y + y + y + 2 = 58

4y + 2 = 58

Collect like terms

4y = 58 - 2

4y = 56

y = 56/4

y = 14

We are the find the number of hours Adena worked which is represented by x

Note that:

x = 2y

y = 14, hence,

x = 2 × 14

x = 28 hours

Therefore, the number of hours Adena worked is 28 hours

4 0
3 years ago
What interest is needed to earn $137.50 on a deposit of $500 for five years if it earns simple interest?
sineoko [7]

Answer:

5.5%

Step-by-step explanation:

Given data

Simple interest =  $137.50

Principal= $500

time = 5 years

We want to find the rate  R

Simple interest= PRT/100

137.50 = 500*R*5/100

137.50=2500R/100

cross multiply

137.5*100= 2500R

13750= 2500R

divide both sides by 2500

R= 13750/2500

R=5.5%

Hence the rate is 5.5%

4 0
3 years ago
The angle measures of a triangle are shown in the
Alenkasestr [34]

b is the correct answer u got it

6 0
3 years ago
Read 2 more answers
WHATS THE ANSWER<br> mSRW = ___°
Ivahew [28]
The answer is 95 degrees because it is a vertical angle. This is actually a lot easier than it looks. Hope this helped.
6 0
3 years ago
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