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2 years ago

5

Pls help me Given the figure below, find the values of x and z.

2 answers:

gtnhenbr [62]2 years ago

4 0

Step-by-step explanation:

the solution is in the picture

Nezavi [6.7K]2 years ago

4 0

Answer: x= 6, z=96°

Step-by-step explanation:

As shown, the angle z and its opposite angle are congruent angles, so it is 96 degrees.

To find x, first find the degree of the angle (13x+6°).

[360-(96×2)]/2=84°

Then, subtract six from it and divide by three to get 6°.

(84-6)/3=6°

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Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (4, 0), (4, 14); endpoints of th

saul85 [17]

Answer:

The standard form of the ellipse is $\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1$ .

Step-by-step explanation:

The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:

$(h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)$ (1)

If we know that $V_{1} (x,y) = (4,0)$ and $V_{2}(x,y) = (4, 14)$ , then the coordinates of the center are, respectively:

$(h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)$

$(h,k) = (2,0) + (2, 7)$

$(h, k) = (4, 7)$

The length of each semiaxis is, respectively:

$a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}$

$a = 3$

$b = \sqrt{(4-4)^{2}+(0-7)^{2}}$

$b = 7$

The standard equation of the ellipse is described by the following formula:

$\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1$

Where:

$h$ , $k$ - Coordinates of the center of the ellipse.

$a$ , $b$ - Length of the orthogonal semiaxes.

If we know that $h = 4$ , $k = 7$ , $a = 3$ and $b = 7$ , then the standard form of the ellipse is:

$\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1$

4 0

3 years ago

Let g(x)=-5x+2 with g(-1)

masha68 [24]

Replace x with -1.

G(-1) = -5(-1) + 2

= 5 + 2

= 7

I hope this Helps!

4 0

3 years ago

Find the number, if 5/7 of it is 15

Karolina [17]

Hey there! :D

Divide 15 by the numerator so we can find 1/7.

15/5= 3

3*7= 21

The number is 21.

I hope this helps!
~kaikers

7 0

3 years ago

Read 2 more answers

In triangle PQR, m∠P = 30°, m∠Q = 90°, and m∠R = 60°. If the triangle is rotated 90° clockwise about a point, what is the measur

bixtya [17]

m<P=60°

Refer to the attachments

8 0

3 years ago

6000 increased by 145%

Lisa [10]

Your question would be clearer if written as "What is 145% of 6000?"

1.45(6000) = 8700

8 0

3 years ago