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Arturiano [62]
3 years ago
7

Hello! :)

Mathematics
2 answers:
zlopas [31]3 years ago
7 0

Answer:

A

Step-by-step explanation:

The two triangles are congruent because if each triangle's angles add up 180 degrees, you can deduce that the triangles have atleast two congruent angles.

Triangle RST:

48 + 73 = 121

180 - 121 = 59

Angle R = 59

Angle T = 48

Angle S = 73

59 + 48 + 73 = 180

Triangle ABC:

73 + 59 = 132

180 - 132 = 48

Angle A = 59

Angle B = 73

Angle C = 48

59 + 48 + 73 = 180

Alja [10]3 years ago
4 0
The correct answer would be A
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3 years ago
What is the volume of this rectangular prism?
nika2105 [10]

Answer:

The volume of this rectangular prism is D. 60cm^{3}.    

Step-by-step explanation:

In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...

V = l × w × h    

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6 0
3 years ago
In circle C, what is mFH?<br><br> 31°<br> 48°<br> 112°<br> 121°
natta225 [31]

we know that

The measurement of the external angle is the semi-difference of the arcs it comprises.

so

Step 1

<u>Find the measure of the arc AJ</u>

m∠BDE=\frac{1}{2} *[measure\ arc\ AJ-measure\ arc\ BE]

in this problem we have

m∠BDE=37\°

measure\ arc\ BE=38\°

substitute in the formula

37\°=\frac{1}{2} *[measure\ arc\ AJ-38\°]

74\°=[measure\ arc\ AJ-38\°]

measure\ arc\ AJ=74\°+38\°=112\°

Step 2

<u>Find the measure of the arc FH</u>

m∠FGH=\frac{1}{2} *[measure\ arc\ AJ-measure\ arc\ FH]

in this problem we have

m∠FGH=32\°

measure\ arc\ AJ=112\°

substitute in the formula

32\°=\frac{1}{2} *[112\°-measure\ arc\ FH]

64\°=[112\°-measure\ arc\ FH]

measure\ arc\ FH=112\°-64\°=48\°

therefore

<u>the answer is</u>

the measure of the arc FH is 48\°

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