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lianna [129]
3 years ago
7

Four rays meet at a common endpoint. In a complete sentence, describe the relevant angle relationships in the diagram. Set up an

d solve an equation to find the value of x. Find the measurement of

Mathematics
1 answer:
horrorfan [7]3 years ago
8 0

Answer:

x=14

Step-by-step explanation:

Adding all angles in this diagram sould get you 360. Because of this, we can use inverse operations to solve this. Subtract 90 and 60 from 360 to get 210. Now, the equation is 15x=210. Dividing both sides by 15 gets you 14. Hope this helps!

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Triangle JKL has vertices J(2,5), K(1,1), and L(5,2). Triangle QNP has vertices Q(-4,4), N(-3,0), and P(-7,1). Is (triangle)JKL
Tems11 [23]

Answer:

Yes they are

Step-by-step explanation:

In the triangle JKL, the sides can be calculated as following:

  • J(2;5); K(1;1)

             => JK = \sqrt{(1-2)^{2} + (1-5)^{2}  } = \sqrt{(-1)^{2}+(-4)^{2}  } = \sqrt{1+16}=\sqrt{17}

  • J(2;5); L(5;2)

             => JL = \sqrt{(5-2)^{2} + (2-5)^{2}  } = \sqrt{3^{2}+(-3)^{2}  } = \sqrt{9+9}=\sqrt{18} = 3\sqrt{2}

  • K(1;1); L(5;2)

             =>  KL = \sqrt{(5-1)^{2} + (2-1)^{2}  } = \sqrt{4^{2}+1^{2}  } = \sqrt{1+16}=\sqrt{17}

In the triangle QNP, the sides can be calculate as following:

  • Q(-4;4); N(-3;0)

             => QN = \sqrt{[-3-(-4)]^{2} + (0-4)^{2}  } = \sqrt{1^{2}+(-4)^{2}  } = \sqrt{1+16}=\sqrt{17}

  • Q (-4;4); P(-7;1)

   => QP = \sqrt{[-7-(-4)]^{2} + (1-4)^{2}  } = \sqrt{(-3)^{2}+(-3)^{2}  } = \sqrt{9+9}=\sqrt{18} = 3\sqrt{2}

  • N(-3;0); P(-7;1)

             =>  NP = \sqrt{[-7-(-3)]^{2} + (1-0)^{2}  } = \sqrt{(-4)^{2}+1^{2}  } = \sqrt{16+1}=\sqrt{17}

It can be seen that QPN and JKL have: JK = QN; JL = QP; KL = NP

=> They are congruent triangles

7 0
3 years ago
Read 2 more answers
7x + 5 = 3x - 15<br>solve for x​
Digiron [165]

7x +5 = 3x -15

4x = -20

x = -5

4 0
3 years ago
Read 2 more answers
Isaiah mows a lawn in 3 hours. What unit fraction would be used to convert this to the number of minutes it takes him to mow a l
ipn [44]

60 minutes/ hour = 60/1

60/1 x 3 = 180 minutes

4 0
3 years ago
A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and
Alona [7]

Answer:

1 Chair= $1.25     1 table= $8.25

Step-by-step explanation:

5c+3t=31

2c+6t= 52

-2(5c+3t=31)

-10c-6t=-62

+

2c+6t=52

= -8c=-10

/-8      /-8

c= 1.25 or 1 1/4

2c+6t=52

2(1.25)+6t=52

2.5+6t=52

-2.5        -2.5

6t= 49.5

/6      /6

t= 8 1/4

5 0
3 years ago
Select all the angle measurements that are correct
valina [46]

Answer:

a = 132

b = 132

d = 29

e = 29

f = 151

g = 24

h = 24

6 0
3 years ago
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