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Trava [24]
3 years ago
6

Help!!! Find the measure of the arc or angle indicated.

Mathematics
1 answer:
Serhud [2]3 years ago
4 0

Answer:

  • 77°

Step-by-step explanation:

  • m∠QDC = 1/2(mQB + mBC)
  • 5x + 17= 1/2( 4x - 6 + 9x + 4)
  • 10x + 34 = 13x - 2
  • 13x - 10x = 34 + 2
  • 3x = 36
  • x = 12

m∠QDC = 5*12 + 17 = 77

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A rectangular room is 3 meters longer than it is wide, and its perimeter is 22 meters. Find the dimension of the room. The lengt
lyudmila [28]

Answer:

Width = 4 m

Length = 7 m

Step-by-step explanation:

given:

perimeter of a rectangle = 22m

L = 3 + W

perimeter = 2L + 2W

perimeter = 2 (3 + W) + 2W

22 = 6 + 2W + 2W

22 - 6 = 4W

W = 16 / 4

W = 4 m

L = 3 + W

L = 3 + 4

L = 7 m

check:

perimeter = 2L + 2W

22 = 2(7) + 2(4)

22 = 14 + 8

22 = 22  ---- OK

4 0
3 years ago
Find the slope of the line that passes through the given points.<br> (-5,6) and (2,6)
CaHeK987 [17]

Answer:

0

Step-by-step explanation:

Your slope would be 0. To find the slope of a line given two points, you find the change in y over the change in x.

In this case, the change in y was 6 - 6 which equals 0.

The change in x was -5 - 2 which was -7.

Since your numerator is 0, 0 divided by anything is automatically equal to 0 no matter what the denominator is.

Therefore, your answer would be 0.

I hope this helped :)

7 0
3 years ago
What is the value of pi
11111nata11111 [884]

Pi really goes on for infinity, but here are the first seven numbers:

3.14159

8 0
3 years ago
What is the mean of your data 341, 237, 143,185,248,403,374,451,84,267,178,258,284,465,224
weqwewe [10]

Answer:

The mean for the given set of numbers is 276.133..... repeated

Step-by-step explanation:

To find this you must add the numbers up together and divide them by the amount of numbers there is.

6 0
3 years ago
The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the proba
Olegator [25]

Answer:

The probability that occurrence of 8 in ten minutes is 0.0771.

Step-by-step explanation:

Poisson Distribution:

A discrete random variable X having the enumerable set {0,1,2,.....} as the spectrum, is said to have Poisson distribution with parameter \mu (>0), if the p.m.f is given by

P(X=x)=\frac{e^{-mu}\mu^x}{x!}  for x=0,1,2,...

               = 0,           elsewhere

The mean number of occurrences in ten minutes is 5.3.

Here \mu = 5.3 and x= 8

P(X=8)=\frac{e^{-5.3}(5.3)^8}{8!}

               =0.0771

The probability that occurrence of 8 in ten minutes is 0.0771.

3 0
3 years ago
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