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Georgia [21]
3 years ago
15

Identify the angle measures of PQRS.

Mathematics
1 answer:
kap26 [50]3 years ago
7 0
The opposite angles of an inscribe quadrilateral are supplementary.

angle P + angle R = 180
6x + 7 + 12x + 11 = 180
18x + 18 = 180
18x = 162
x = 9

Now we will substitute in the value of x to find angle P and R.

angle P = 6(9)+7 = 61
angle R = 12(9)+11 = 119

Now we will find the value of y.

angle Q + angle S = 180
10y + 7 + 3(3y + 7) = 180
10y + 7 + 9y + 21 = 180
19y + 28 = 180
19y = 152
y = 8

Now substitute in the value of y to find angle Q and S.

angle Q = 10(8)+7 = 87
angle S = 3(3*8+7) = 93

Hope this helps :)
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Find the distance between each pair of points. round your answer to the nearest tenth.
goldenfox [79]

Answer:

5.4

Step-by-step explanation:

To find the distance between each pair of points, we use the distance formula, which is:

d = \sqrt{(x_{2}-x_{1})^2 + (y_{2} -y_{1})^2  }

So we have

x_{1} = 2\\ x_{2} = 4\\y_{1} = 8\\y_{2}=3

When we plug in the values into the formula we get:

d = \sqrt{(4-2)^2 + (3-8)^2}

d = \sqrt{4 + 25}\\ =\sqrt{29}\\ =5.4

3 0
3 years ago
Read 2 more answers
Select all the equations that have the same solution as the equation 3x−12=24
evablogger [386]

Answer:

3x=36, so x=12

Step-by-step explanation:

5 0
3 years ago
How many solutions does the equation x^2-9x=-8 have?
Elza [17]
X^2-9x=-8
x^2-9x+8=-8+8
x^2-9x+8=0
(x-8)(x-1)=0

x-8=0
x-8+8=0+8
x=8

x-1=0
x-1+1=0+1
x=1

There are 2 solutions, which are 1 and 8 
8 0
3 years ago
Can you solve this??​
gavmur [86]

Answer:

The answer is c

Step-by-step explanation:

The middle problem is adding, the others are taking away, so C is the correct answer

3 0
2 years ago
Justin rides his bicycle 2.5 kilometers to school. Luke walks 1950 meters to school. How much farther does Justin walk than Luke
guapka [62]
Hello!

1950 m = 1.95

2.5 - 1.95 = 0.55

ANSWER: Justin rides his bike 0.55 km father than Luke.

I hope this helped you! c:
8 0
3 years ago
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