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3 years ago

14

The school says that no less than a third of the juniors went to prom. If 37 juniors went, what the minimum amount of juniors at

the school?

1 answer:

s344n2d4d5 [400]3 years ago

6 0

Answer: 37 times 3 is 111. So there are 111 junior at that school.

1/3 times the # = the answer.

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Im putting all the questions in one to make it easier

Rufina [12.5K]

I'll focus on problem 19 and problem 22

============================================================

Problem 19

Answers:

x = 87
x+15 = 102

-------------------------------

Explanation:

The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.

Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.

x+15 = 102

x = 102-15

x = 87

Which leads to

x+15 = 87+15 = 102

============================================================

Problem 22

Answer: y = 27

-------------------------------

Explanation:

We have a pair of alternate exterior angles. They are congruent due to the parallel lines.

Let's solve for y.

7y-55 = 3y+53

7y - 3y = 53+55

4y = 108

y = 108/4

y = 27

5 0

3 years ago

in order to fence a garden the rowan family needs 64 ft of lumber. the garden at the correas house will need to be 150% larger.h

almond37 [142]

Answer:

96

Step-by-step explanation:

Divide 64 by 2

add 32+ 64

x=96

8 0

3 years ago

A submarine is located 25 meters below sea level it goes up 7 meters then goes down 38 meters wrote plan integer to represent th

uranmaximum [27]

The question is somewhat confusing but assuming you mean where the submarine is after moving up 7 meters then down 38 meters the submarine would now be located 56 meters below sea level

7 0

3 years ago

The length of an alligator in a zoo is 14 5/6 feet.The everglades national parks list the longest alligator ever reocord in flor

astraxan [27]

Answer:

The difference in the lengths of the two alligators = 3

Step-by-step explanation:

First, let us make the lengths improper fractions, then we will find the difference from there.

Alligator 1:

Length = $14\frac{5}{12} = \frac{173}{12}$

To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]

Alligator 2:

Length = $17\frac{5}{12} = \frac{209}{12}$

Now Let us find the difference between the lengths:

$\frac{209}{12} - \frac{173}{12} = \frac{36}{12} =3$

Therefore the difference in the lengths of the two alligators = 3

3 0

3 years ago

What is the measure of angle Q to the nearest whole degree?<br> 43°<br> 49°<br> 53°<br> 58°

geniusboy [140]

Answer:

m∠Q ≈ 53°

Step-by-step explanation:

To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.

In this situation, 'A' will be ∠Q. Therefore:

17² = 18² + 20² -2(18)(20)cosQ

Simplify:

289 = 324 + 400 -2(360)cosQ

Continue simplifying down:

-435 = -720cosQ

Divide both sides by '-720':

0.604 = cosQ

$cos^{-1}Q = 0.604$

m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.

3 0

3 years ago