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anyanavicka [17]
2 years ago
15

Solve for the value of n. please help

Mathematics
1 answer:
inysia [295]2 years ago
3 0

Answer:

n = 8

Step-by-step explanation:

The angles are vertical angles and so they are equal

9n = 8n+8

Subtract 8n from each side

9n - 8n = 8n+8-8n

n = 8

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Katie had 4 full cement blocks and one that was 4⁄6 the normal size. If each full block weighed 3 2⁄4 pounds, what is the weight
sveta [45]

Answer:

The weight of the block that Katie has is 16 1/3 pounds

Step-by-step explanation:

<u>Katie has: 4 full cement blocks and 4/6 (or 2/3 ) of the normal size of a cement block</u>

For one full block, it weighs 3 2/4 ( or 1/2) pounds, if you want to find the answer of the question, you need to multiply the weight with the cement blocks that Katie have.

<u>First do the four full cement blocks:</u>

4 * 3 2/4 = ?

4 * 14/4 = ?

Cancel the 4 that is being multiplied and the 4 that is being divided by 14.

= 14.

<u>Now do the 4/6 (or 2/3) cement block:</u>

2/3 * 3 2/4 = ?

2/3 * 14/4 = ?

Multiply the fractions together:

= 28/12

= 2 1/3

<u>Finally, you add up the full blocks and the 2/3 cement block to get your answer:</u>

2 1/3 + 14 = 16 1/3

The weight of the block that Katie has is 16 1/3 pounds

4 0
3 years ago
a drawing of a surboard in a catalog shows it's length as 8 4/9 inches. find the actual length of surfboard if 1/2 inch length o
Delvig [45]
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8 0
3 years ago
The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 othe
yawa3891 [41]

Solution :

Let the three places be 1, 2, 3, 4, 5, 6, 7, 8

a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2

                  = 14

[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]

Therefore the required probability is

  $=\frac{14}{8!}$

 = $\frac{14}{40320} = 0.000347$

b). The probability that the marketing director to be placed in the leftmost position is

   $=\frac{7!}{8!}$

  $=\frac{1}{8} = 0.125$

c). The two events are not independent because

   $P(A \cap B) \neq P(A) \times P(B)$

  $\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$

where A is the case a and B is the case b.

8 0
3 years ago
If each slice of pizza is 1/16 of the pizza what is the decimal form of 8 slices of pizza
Damm [24]

Answer:

0.5

Step-by-step explanation:

8 slices of a pizza cut into 16 pieces is a half of the pizza. A half is 0.5

3 0
3 years ago
How do I plot this? (The full graph is not shown)
Zolol [24]
Can you please show the whole graph
6 0
3 years ago
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