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katen-ka-za [31]
2 years ago
7

Given in the figure below, find the values of X and Z.

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
5 0

Answer:

\boxed{x=9}\\\boxed{z=76}

Step-by-step explanation:

Hello There!

<u>Geometry</u>

The angles shown represented by the expressions (11x + 5) and (5x+59) are vertical angles

Vertical angles are congruent so we can use this equation to solve for x

<u>Basic Algebra</u>

11x + 5 = 5x + 59

step 1 subtract 5x from each side

5x - 5x cancels out

11x - 5x = 6x

now we have 6x + 5 = 59

step 2 subtract each side by 5

5 - 5 cancels out

59 - 5 = 54

now we have 54 = 6x

step 3 divide each side by 6

6x/6=x

54/6=9

we're left with x = 9

now we want to plug in 9 into x for one of the expression

11(9) +  5

11 * 9 = 99

99 + 5 = 104

so we can conclude that the measure of the angle labeled ( 11x + 5 ) is 104 degrees

Now we need to find z

<u>Geometry</u>

The angle with a measure of 104 and angle Z are supplementary angles meaning that the sum of the two is 180

So to find z we subtract the known angle (104) from 180

180 - 104 = 76

so we can conclude that z = 76

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18 - 2q = 4 this is two step equasions it's skills practice &amp; I'm not sure how to do it
klio [65]

Answer:

q = 7

Step-by-step explanation:

Given

18 - 2q = 4 ( Isolate the term in q by subtracting 18 from both sides )

- 2q = - 14 ( divide both sides by - 2 )

q = \frac{-14}{-2} = 7

6 0
3 years ago
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the number of defectives in 10 different samples of 50 observations each is the following: 5, 1, 1, 2, 3, 3, 1, 4, 2, 3. what is
Law Incorporation [45]

The estimate of the population proportion of defectives is 0.05.

Given that,

There are 10 different samples of 50 observations, that is, total of 500 observations.

To find : The estimate of the population proportion of defectives

And total number of defectives from 500 observations is (5+1+1+2+3+3+1+4+2+3) = 25

Thus, the point estimate for the population proportion defectives will be,

=25/500=0.05

or just obtain the individual proportion of each sample and then take their average to obtain the same result.

Thus, the point estimate for the population proportion defectives will be 0.05

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6 0
1 year ago
QUICK
timama [110]

Answer:$590

Step-by-step explanation:

500*6%=30

30*3=90

500+90=590

8 0
3 years ago
The sum of nine and twice a number is 5353. find the number.
Nadya [2.5K]
Equation: 9+2x=5,353
               -9        -    9
                     2x=5,344
then divide both sides by 2 

                    x=2,672
6 0
3 years ago
(75 points and brainliest for correct answer no explanation needed just answer.) NEED HELP
Alecsey [184]

I believe that the answeres are either (The functions have the same shape. The Y intercept of y= |x| is 0, and the y-intercept of the second function is -9) or ( the two functions are the same) my best guess is  (The functions have the same shape. The Y intercept of y= |x| is 0, and the y-intercept of the second function is -9)

7 0
3 years ago
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