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Umnica [9.8K]
3 years ago
15

Mrs. Simmons gave a history test worth 92 points. There were only two types of questions on it: 2-point true/false questions and

5-point fill-in-the-blank questions. If there were a total of 34 questions on the test, how many of them were true/false? How many were fill in the blank?
Please show your work from your solving portion of the answer...
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0

Answer:

There are 8 true/false questions and 26  fill-in-the-blank questions.

Step-by-step explanation:

Let "t" be the number of 2-point true/false questions and "f" the number of 5-point fill-in-the-blank questions.

Mrs. Simmons gave a history test worth 92 points. Symbollically,

2 t + 5 f = 92   [1]

There were a total of 34 questions in the test. Symbollicaly,

t + f = 34

t = 34 - f   [2]

If we replace [2] in 1, we get

2 (34 - f) + 5 f = 92

68 - 2 f + 5 f = 92

3 f = 24

f = 8

We replace f = 8 in [2],

t = 34 - 8 = 26

There are 8 true/false questions and 26  fill-in-the-blank questions.

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Answer:

Step-by-step explanation:

84% of 150=126 (foreign coins)

150-126=24 (non foreign coins)

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2 years ago
PLEASE HELP, ACT PRACTICE ​
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3/2? I’m not much of a math person so I don’t know for sure !!
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URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pt
WITCHER [35]

Angle O=64

Side m=7.3159882(rounded if needed)

Side n=16.68902(round if needed)

We are given

Angle M which equal 26.

Angle N equals 90 degrees

Side MN which equal 15.

We are asked to find all the missing elements of the triangle.

  1. Angle O can be found using triangle interior theorem so we can add 90+26+x =180 to find the value that satisfies the x value.

90 + 26 + x = 180

116 + x = 180

x = 64

Angle O=64 degrees

We can find side m by doing law of sines.

\frac{on}{ \sin(26) }  =  \frac{mn}{ \sin(64) }

\frac{on}{ \sin(26) }  =  \frac{15}{ \sin(64) }

on =  \frac{15}{ \sin(64) }  \times  \sin(26)

which is 7.315(round if neeeded).

We can find side n using pythagorean theorem,

{15}^{2}  +  {7.3}^{2}  =  {n}^{2}

225 + 53.29 =  {n}^{2}

\sqrt{278.29}

Side n=16.689(round if needed)

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Which statement is true about vertical angles. 1 point Vertical angles are congruent if two lines are parallel. If vertical angl
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Answer:

Vertical angles are always congruent.

Step-by-step explanation:

Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.

Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:

<a and <b,

<c and <d.

Thus, <a is congruent to <b, and <c is congruent to <d.

Therefore, the standby that is true about vertical angles is that:

Vertical angles are always congruent.

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RoseWind [281]

Answer:

B

Step-by-step explanation:

76/8 = 9.5

Choice B

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