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Archy [21]
3 years ago
13

How do you find the angle measure?

Mathematics
1 answer:
yulyashka [42]3 years ago
5 0

Answer:

∠ XYZ = 41°

Step-by-step explanation:

∠ XYZ = ∠ 3x + 20 ( corresponding angles ) , thus

8x - 15 = 3x + 20 ( subtract 3x from both sides )

5x - 15 = 20 ( add 15 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Thus

∠ XYZ = 8x - 15 = 8(7) - 15 = 56 - 15 = 41°

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At a country concert, the ratio of number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many
Juliette [100K]

Answer:

100 boys at the concert

Step-by-step explanation:

When changing the ratio between the number of boys to the number of girls, it always has to be equivalent to the original ratio 2:7

So, convert the ratio 2:7 to a different ratio, but it still has to be equivalent to the ratio 2:7. By doing that, multiply both sides of the 2:7 ratio by 50:

  2   :   7

×50   ×50

To get:

100:350  ⇒  This ratio means that the ratio between the number of boys to the number of girls is now 100:350, but that’s okay to have because it’s still equivalent to the original 2:7 ratio.

So, using the new ratio 100:350, this means that there are 100 boys at the concert and 350 girls at the concert, and 350 is 250 more than 100 which proves what the question is asking. So there are 100 boys at the concert.

<u>Answer:</u> 100 boys at the concert

<em>I hope you understand and that this helps with your question! </em>:)

7 0
3 years ago
Help me please this is the last question I have to pass ‼️
Annette [7]
The answer is
2
Explanation
You have to do 2/3 x 3 and you do that by multiplying 2 and 3 (6/6)
Which if you split up is 3/3, 3/3 = 2
3 0
3 years ago
Please help! Correct answer only! This assignment is due today.
vichka [17]

Answer:

  0.2601

Step-by-step explanation:

There are 19C16 = 969 ways for Lester to choose 16 of the 19 objects.

There are 12C11 = 12 ways to choose 11 vases, and 7C5 = 21 ways to choose a non-vase, for a total of (12)(21) = 252 ways to choose exactly 11 vases in 16 objects.

So, the probability of interest is ...

  252/969 ≈ 0.2601

_____

nCk = n!/(k!(n-k)!) ... the number of ways to choose k objects from n

5 0
3 years ago
The diameter of the inscribed circle in a regular hexagon is 4√3 inches long. What is the perimeter of this regular hexagon?
barxatty [35]

Answer:

12√3 inches or 20.785 inches.

Step-by-step explanation:

A regular hexagon can be defined as a polygon with 6 sides.

The formula for the perimeter of a regular hexagon =

6 × the length of the sides of the hexagon.

From the above question, we are told that there is an inscribed circle I'm the hexagon with a diameter of 4√3 inches long

Step 1

Find the radius of the circle

Radius of the circle = 4√3/2 = 2√3 inches

Step 2

The radius of the inscribed circle = Length of one of the sides of a regular hexagon.

Hence, the perimeter of the regular hexagon = 6 × 2√3

= 12√3 inches

= 20.784609691 inches.

Approximately 20.785 inches

3 0
3 years ago
There are 15 students in the preschool class. For every 7 kids there is 1 teacher. Which ratio shows the number of teachers to t
ANTONII [103]

Answer:

1:7

Step-by-step explanation:

I may be wrong but try to check it over and see if it’s correct.

5 0
3 years ago
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