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vovangra [49]
3 years ago
7

What is the answer? What is the answer?

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0

Answer:

  B.  m∠RTS = 78°

Step-by-step explanation:

The sides GH and GI of ΔGHI have the same length, so their opposite angles, ∠I and ∠H will have the same measures. Call that measure "x".

The sum of angles in a triangle is 180°, so we have ...

  24° +x +x = 180°

  2x = 156° . . . . subtract 24°

  x = 78° . . . . . . divide by 2

The triangle similarity statement tells you that ∠T will have the same measure as ∠I, which is x, or 78°.

  m∠RTS = 78°

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<img src="https://tex.z-dn.net/?f=5%5Cfrac%7B42%7D%7B170%7D%20%20-%203%5Cfrac%7B80%7D%7B170%7D%20" id="TexFormula1" title="5\fra
Reika [66]

5\dfrac{42}{170}-3\dfrac{80}{170}=(5-3)+\left(\dfrac{42}{170}-\dfrac{80}{170}\right)\\\\=2+\left(-\dfrac{38}{170}\right)=2-\dfrac{32}{170}=1\dfrac{170}{170}-\dfrac{38}{170}\\\\=1\dfrac{170-38}{170}=1\dfrac{132}{170}=1\dfrac{132:2}{170:2}=1\dfrac{66}{85}


5\dfrac{42}{170}-3\dfrac{80}{170}=4\dfrac{170+42}{170}-3\dfrac{80}{170}\\\\=(4-3)+\left(\dfrac{212}{170}-\dfrac{80}{170}\right)=1+\dfrac{212-80}{170}\\\\=1+\dfrac{132}{170}=1\dfrac{132:2}{170:2}=1\dfrac{66}{85}

7 0
3 years ago
Can i get i get some help guys
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126

Step-by-step explanation:

g•f(5)

g(f(5))

g(2*5+4)

g(10+4)

g(14)

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FIFTY POINTS! ASAP! DUE IN A FEW MINUTES! Just fill in the blanks!!
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Answer:

This proof involves the definitions of congruence and supplementary angles, as well as some of the properties of equality.

 

∠1 and ∠2 are supplementary    // given

∠3 and ∠4 are supplementary    // given

∠1 ≅ ∠3    // given

 

m∠1 + m∠2 = 180°    // definition of supplementary angles

m∠3 + m∠4 = 180°    // definition of supplementary angles

 

m∠1 + m∠2 = m∠3 + m∠4    // transitive property of equality

 

m∠1 = m∠3    // definition of congruent angles

 

m∠1 + m∠2 = m∠1 + m∠4    // substitution property of equality (replaced m∠3 with m∠1)

 

m∠2 = m∠4    // subtraction property of equality (subtracted m∠1 from both sides)

 

∠2 ≅ ∠4    // definition of congruent angles

hope this helps

Step-by-step explanation:

4 0
3 years ago
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