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velikii [3]
4 years ago
9

In the image below, angles XYZ (6x+10)° and RYS (5x+30)° are vertical angles. Find x

Mathematics
1 answer:
Ludmilka [50]4 years ago
4 0

Answer:

x=20

Step-by-step explanation:

Vertical angles are equal

6x+10 = 5x+30

Subtract 5x from each side

6x-5x+10 = 5x-5x+30

x+10 = 30

Subtract 10 from each side

x+10-10 = 30-10

x =20

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A tent company has a tent design that is a triangular prism. The following is a net of the design.
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4 years ago
Coco scored team player three games in weekend.They scored: •six points in the first game, •half as many points in the second g
dolphi86 [110]

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3 years ago
Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,
Tresset [83]

Answer:

\boxed{y=2x^2+4x-7}

Step-by-step explanation:

Let the quadratic function be

y=ax^2+bx+c


We substitute (-4,9) into the equation to obtain;


9=a(-4)^2+b(-4)+c


\Rightarrow 9=16a-4b+c---(1)


We substitute (0,-7) to obtain;


-7=a(0)^2+b(0)^2+c


\Rightarrow c=-7---(2)


We finally substitute (1,-1) to obtain;


-1=a(1)^2+b(1)^2+c


\Rightarrow -1=a+b+c---(3)


We put equation (2) into equation (1) to get;


9=16a-4b-7


16a-4b=16


\Rightarrow 4a-b=4---(4)


\Rightarrow -1=a+b-7


\Rightarrow a+b=6---(5)


We add equation (4) and (5) to get;

4a+a=6+4



\Rightarrow 5a=10



\Rightarrow a=2


We put a=2 into equation (5) to get;


2+b=6


\Rightarrow b=6-2


\Rightarrow b=4


The reqiured quadratic function is

y=2x^2+4x-7

7 0
3 years ago
3 1/3 divided by 2/3<br><br> pls help me!!!! im stuck and pls show your work!
Vedmedyk [2.9K]
The answer would be 2 1/3 or 2.3 repeating or 7/3
8 0
3 years ago
Read 2 more answers
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