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Maslowich
3 years ago
8

A test is worth 60 points. Multiple-choice questions are worth 2 points, and

Mathematics
1 answer:
Effectus [21]3 years ago
7 0

Answer:

C. The number of multiple-choice questions plus the number of

short-answer questions is 15.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of multiple-choice questions

y is the number of short-answer questions.

Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points.

This means that:

2x + 5y = 60

The test has 15 questions.

This means that:

x + y = 15.

Which means that option C is the correct answer.

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⠀

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

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We know that,

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So, According to the question :

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{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + x + x  =  180{}^{ \circ} }}}

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{\longrightarrow \it\qquad { \ { {  38 \: }^{ \circ}   + 2x   =  180{}^{ \circ} }}}

⠀

{\longrightarrow \it\qquad { \ {   2x   =  180{}^{ \circ} - {  38 \: }^{ \circ}}}}

⠀

{\longrightarrow \it\qquad { \ {   2x   =  142{}^{ \circ}  }}}

⠀

{\longrightarrow \it\qquad { \ {   x   =    \dfrac{142{}^{ \circ}}{2}   }}}

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{\longrightarrow \it\qquad { \pmb {   x   =  71^{ \circ}  }}}

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2) y^-1 = 1/y

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