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CaHeK987 [17]
3 years ago
8

The number of books checked out from the library varies directly with the number of book reports assigned. there were 3375 books

checked out when there were 225 book reports assigned. how many book reports have been assigned if there are 13,500 books checked out of the library?a.60 booksb.675 booksc.56.25 booksd.900 books
Mathematics
1 answer:
yan [13]3 years ago
5 0
3375/225=15
13500/15=900 books
The answer is D
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Which of the following theorems cannot be used to prove two lines are<br> parallel?
mariarad [96]

Answer:

Option H

Step-by-step explanation:

Option F

If two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.

True.

Option G

If two lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the lines are parallel.

True

Option H

If two line are cut by a transversal so that a pair of vertical angles are congruent, then the lines are parallel.

Since, vertical angles don't prove the lines cut by a transversal are parallel.

So the statement is False.

Option J

If two lines are are cut by a transversal so that a pair of same side interior angles are supplementary, then the lines are parallel.

True.

6 0
3 years ago
Sadie has mangos and watermelons in a ratio of 91:11. How many mangos does she have if she has 66 watermelons?
snow_lady [41]

Answer:

546 manogoes

Step-by-step explanation:

Sadie has mangos and watermelons in a ratio of 91:11.

We need to find the number of mangoes if she has 66 watermelons.

It means that,

11x = 66

x = 6

So,

Mangoes = 91x

= 91(6)

= 546

Hence, there are 546 mangoes.

3 0
3 years ago
The weight of a full steel bead tire is approximately 800
AleksAgata [21]

Answer: 1.76

1.54

Step-by-step explanation:

we have to divide 800 by 453.592, and the result is 1.763699... rounding it: 1.76

now we do the same for 700 :

700 divided by 453.592 is 1.5432... so rounding it down: 1.54

5 0
3 years ago
What is the equation of a line perpendicular to:
Nataly [62]

Step-by-step explanation:

"perpendicular" means it creates a right angle (90°) with the original line.

a key element is the slope (the incline) of the line.

it is the factor of x (here 1/4 for the original line) and is defined as the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

the given slope of 1/4 means that for every increase in x by 4 units y increases by 1 unit.

now if you want to draw a few random lines, and then draw lines that cross them with a right angle, you will see very quickly the relationship of the slopes of the crossing lines :

for the slope of the perpendicular line x and y of the original slope trade places (the ratio turns "upside-down") and the sign of the slope flips (if the original line goes up, then the perpendicular line goes down and vice versa. so + turns into -, and - into +).

so, our original slope 1/4 turns into -4/1 = -4.

we still have infinite possibilities to draw such a perpendicular line (more up or more down on the coordinate grid).

to finally "nail" one particular line we need to use the given point and solve for the y-intercept.

the general slope-intercept form is

y = ax + b

a is the slope, b is the y-intercept (the y value for x = 0).

so, using the slope (-4) and the point (2, 5) we have

5 = -4×2 + b = -8 + b

13 = b

so, the full equation is

y = -4x + 13

7 0
2 years ago
10 PTS!! (5 + 2/8) - (3 7/8)
Artyom0805 [142]
The answer should be 1 3/8
7 0
3 years ago
Read 2 more answers
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