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liubo4ka [24]
4 years ago
10

cole puts 68 books in a bookcase.he puts an equal number of books on each of 9 shelves and 5 books on the last shelf. how many b

ooks are on each of the 9 shelves?
Mathematics
2 answers:
dlinn [17]4 years ago
8 0
7 because i divde
and got 7

fredd [130]4 years ago
3 0
9x + 5 = 68
9x = 63
x = 7
Cole put seven books on each shelf.
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If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ?
Dominik [7]

Answer:

HJ=20\ units

Step-by-step explanation:

<u><em>The complete question is</em></u>

RT and GJ are chords that intersect at point H. If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ? 18 units 20 units 26 units 28 units

we know that

The <u><em>intersecting chords theorem</em></u>  is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal

so

In this problem

(RH)(HT)=(GH)(HJ)

substitute the given values

(10)(16)=(8)(HJ)

solve for HJ

HJ=160/8\\HJ=20\ units

7 0
3 years ago
Read 2 more answers
Al has twice as many cards as Bob, and Jane has three times as many cards as Bob. Together, they have 372 cards. How many cards
Musya8 [376]

Answer: Bob has 62 cards.

All has 124 cards.

Jane has 186 cards

Step-by-step explanation:

Let x represent the number of cards that Bob has.

Al has twice as many cards as Bob. It means that the number of cards that All has is 2x.

Jane has three times as many cards as Bob. It means that the number of cards that Jane has is 3x.

Together, they have 372 cards. It means that

x + 2x + 3x = 372

6x = 372

x = 372/6

x = 62

The number of cards that Al has is

2 × 62 = 124

The number of cards that Jane has is

3 × 62 = 186

8 0
3 years ago
choose all of the terms that describe the set of lines. transversal parallel lines perpendicular lines intersecting lines
Greeley [361]

Answer:

C. Perpendicular Lines

D. Intersecting Lines

Step-by-step explanation:

Intersecting lines are a pair of lines, line segments or rays are intersecting if they have a common point.

Perpendicular lines are a point where two city roads intersect.

Hope this helps. I am sorry if you get it wrong.

3 0
3 years ago
A pool company is trying out several new drains. Drai n A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rat
shtirl [24]
108 ÷ 2 = 54 minutes
108 ÷ 5 = 21.6 minutes
8 0
4 years ago
In triangle abc, m of acb = 90, cd is perpendicular to ab , m of acd is 60. and bd is 5 cm. find ad
weeeeeb [17]

Let us draw a picture to make the things more clear.

Attached is the image.

We have been given that

\angle acd = 60 ^{\circ}

Therefore, we have

\angle dcb =90- 60= 30 ^{\circ}

Now, in triangle bcd, we have

\tan30 = \frac{5}{cd}\\&#10;\\&#10;\frac{1}{\sqrt 3}=\frac{5}{cd}\\&#10;\\&#10;cd=5\sqrt 3

Now, in triangle acb, we have

tan 60 = \frac{ad}{5\sqrt3} \\&#10;\\&#10;\sqrt 3=  \frac{ad}{5\sqrt3}\\&#10;\\&#10;ad= 5\sqrt3 \times \sqrt 3\\&#10;\\&#10;ad= 5\times 3\\&#10;\\&#10;ad=15

Thus, ad is 15 cm.


4 0
3 years ago
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