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notka56 [123]
3 years ago
15

Find x and y if x=2y-8 and y=9x-7

Mathematics
1 answer:
german3 years ago
6 0

Answer:

x = (22/17), y= (79/17)

Step-by-step explanation:

Just substitute x = 2y - 8 into y = 9x - 7 and solve.

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Consider kite WXYZ. What are the values of a and b? a = 4; b = 10. a = 4; b = 40, a = 8; b = 10, a = 8; b = 40
Brut [27]

Check the picture below.

let's recall that a kite is a quadrilateral, and thus is a polygon with 4 sides

sum of all interior angles in a polygon

180(n - 2)      n = number of sides

so for a quadrilateral that'd be 180( 4 - 2 ) = 360, thus

\bf 3b+70+50+3b=360\implies 6b+120=360\implies 6b=240 \\\\\\ b=\cfrac{240}{6}\implies b=40 \\\\[-0.35em] ~\dotfill\\\\ \overline{XY}=\overline{YZ}\implies 3a-5=a+11\implies 2a-5=11 \\\\\\ 2a=16\implies a=\cfrac{16}{2}\implies a=8

3 0
3 years ago
Read 2 more answers
Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (2, 3)
lozanna [386]
Standard equation of a circle: <em>(x-h)² + (y-k)² = r²</em> where <em>(h, k)</em> is the center and <em>r </em>is the radius. In the case of our equation here, <em>(x-5)² + (y+3)² = 25</em>, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.

We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.

Distance = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Distance = \sqrt{(-3-3)^2+(5-2)^2}

Distance = \sqrt{(-6)^2+3^2}

Distance = \sqrt{36+9}

Distance = \sqrt{45}\approx6.7082

6.7082>5,\ so\ (2,3)\ is\ on\ the\ \boxed{exterior}
8 0
3 years ago
Find the value of x in each case.
pentagon [3]

Answer:

23

Step-by-step explanation:

All triangles = 180 degrees

65 + 4x + x = 180

65 + 5x = 180

- 65          - 65

----------------------

5x = 115

--- = ----

5  = 5

x = 23

4(23) = 92

F = x = 23

B> 65

92 + 23 + 65 = 180

x = 23

F> = B>

3 0
2 years ago
Expression equivalent to (0.28t-0.3)-(0.7t-0.28)?
Softa [21]
B because it obviously can’t be any other
3 0
2 years ago
Hey anyone know this ?
Sergeu [11.5K]

Answer:

It's an equilateral triangle so the measure of each angle here=60 degrees

s..4x degree=15*4

hence, the value of X=15

<h2>Have a good day Ahead:)</h2>
6 0
3 years ago
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