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pav-90 [236]
3 years ago
14

AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 50º.

Mathematics
2 answers:
NeTakaya3 years ago
7 0
<span>AD←→ is tangent to circle M at point D
so
<QDM = 90
given </span><span>∠DMQ is 50
so
</span>∠<span>DQM = 90 - 50
</span><span>∠DQM = 40

answer
</span><span>∠DQM = 40 degrees</span>
Nesterboy [21]3 years ago
6 0

Answer:

Hello! I just completed the quiz :))

Step-by-step explanation:

This is for more confirmation (´。• ᵕ •。`) ♡ glad I could help!

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seven different gifts are to be distributed among 10 children. How many distinct results are possible if no child is to receive
Alik [6]

Answer:

120 distinct results are possible if no child is to receive more than one gifts.

Step-by-step explanation:

When the order is not important, we use the combination formula:

C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.

In this problem, we have that:

Combinations of 7 from a set of 10 elements. So

C_{n,x} = \frac{n!}{x!(n-x)!}

C_{10,7} = \frac{10!}{7!(3)!} = 120

120 distinct results are possible if no child is to receive more than one gifts.

6 0
3 years ago
Isosceles trapezoid ABCD has legs If AB = 6y – 3, BC = 4y – 5, and CD = 7y – 18, find the value of y
castortr0y [4]

Answer:

The value of y is y=15

Step-by-step explanation:

We have:

AB = 6y – 3, BC = 4y – 5, and CD = 7y – 18

We define the isosceles trapezoid as it has two opposites parallel, the two other opposites legs are equal and also the diagonals are equal.

Here AB = CD

6y-3 = 7y-18

Combine the like terms:

18-3 = 7y-6y

15 = y

It means the value of y is  y=15....

4 0
3 years ago
Joel earns $5.50 an hour and time-and-a-half for overtime. how much does he earn for a 44.5-hour week?
vova2212 [387]
The expression which can be used to solve this problem is 5.50h + 1.5h. 

Since the given data is 44.5 hour week, all we need to do is substitute the given data to the expression. Since it takes 56 hours a week for a complete office/working hour without overtime, Joel's 44.5 hour week means he did not have overtime hours. Therefore the solution is,

5.50(44.5) = 244.75 Dollars.
3 0
3 years ago
Which equation gives the lines show on Graph y= 2x+4 <br> y= -1/2x-4<br> y=1/2x+4 <br> y=2x-4
Xelga [282]
The answer is the second one y=1/2x+4
5 0
2 years ago
Find the length of side x in simplest radical form with a rational denominator.
Leto [7]
<h3>Answer:  2\sqrt{5}</h3>

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

Explanation:

Both legs are the same length, as indicated by the tickmark.

  • a = \sqrt{10}
  • b = \sqrt{10}
  • c = x

Use the pythagorean theorem to solve for x

a^2+b^2 = c^2\\\\( \sqrt{10} )^2 + ( \sqrt{10} )^2 = x^2\\\\10 + 10 = x^2\\\\x^2 = 20\\\\x = \sqrt{20}\\\\x = \sqrt{4*5}\\\\x = \sqrt{4}*\sqrt{5}\\\\x = 2\sqrt{5}\\\\

7 0
2 years ago
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