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bixtya [17]
3 years ago
14

What is the value of x in the figure? Enter your answer in the box

Mathematics
1 answer:
Tcecarenko [31]3 years ago
3 0

Answer:

x =68

Step-by-step explanation:

We know that x+22 = 90 because the sum of the two angles is a vertical angle to the right angle and vertical angles are equal.


x+22 =90

Subtract 22 from each side

x+22-22 = 90-22

x =68

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Line AB has endpoints A(-4,5) and B(3,5). What is the x-coordinate of a point C such that B is the midpoint of line AC
Ipatiy [6.2K]
Easy peasy

the midpoint between (x_1,y_1) and (x_2,y_2) is
(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})
just average them

so given that (3,5) is the midpoint of (-4,5) and (x,y)
(\frac{-4+x}{2},\frac{5+y}{2})=(3,5)
so by logic
\frac{-4+x}{2}=3 and \frac{5+y}{2}=5
times both sides by 2 for everybody
-4+x=6 and 5+y=10
add 4 to both sides for left one and minus 5 from both sides for right
x=10 and y=5

the coordinate of point C is (10,5)
the x coordinate is 10
7 0
4 years ago
After being rearranged and simplified, which of the following equations could be solved using the quadratic formula?
dmitriy555 [2]
A. 2x^2 - 3x + 10 = 2x + 21
2x^2 - 3x - 2x + 10 - 21 = 0
2x^2 - 5x - 11 = 0                              (quadratic equation)

2x^2 - 6x - 7 = 2x^2
2x^2 - 2x^2 - 6x - 7 = 0
-6x - 7 = 0                                          (not a quadratic equation)

5x^2 + 2x - 4 = 2x^2
5x^2 - 2x^2 + 2x - 4 = 0
3x^2 + 2x - 4                                      (quadratic equation)

5x^3 - 3x + 10 = 2x^2
5x^3 - 2x^2 - 3x + 10 = 0                    (not a quadratic equation)

Therefore, options a and c can be solved using the quadratic formula.
3 0
3 years ago
Emily spent $15 on a magazine and four
LiRa [457]

Answer:

Step-by-step explanation:

$15 a magazine.

To calculate how much each candy bar was, you must do $15-$3 = $12

In total, she spent $12 on candy bars. Therefore you must do $12/4 candy bars= $3 a candy bar.

Hope this helps

5 0
3 years ago
Index notation -
Jlenok [28]
A) 4*3 x 5*2
b) 9*4 x 7*2
c) 3 x 7*4
d) 2*2 x 9*4
8*5
6 0
4 years ago
A random variable is not normally distributed, but it is mound shaped. It has a mean of 14 and a standard deviation of 3. If you
Over [174]

Answer:

Step-by-step explanation:

from the question,

the mean 14

the standard deviation is 3

and sample size is 10.

since the n which is the sample size is 10, then the distribution is mound shaped.

why?

this is due to the fact that the random variable from which we took the sample is mound shaped.

The sampling distribution of the mean is normally distributed although the question says the random variable is not normally distributed. so the shape is bell shaped and normally distributed.

the standard deviation of the mean is

3/√10

= 0.948

5 0
3 years ago
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