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Degger [83]
1 year ago
5

Find the value of x in the figure below. Assume that the lines are parallel.

Mathematics
1 answer:
maks197457 [2]1 year ago
8 0

Answer:

x = 30 degrees

Step-by-step explanation:

Since the lines are parallel, these angles can be seen as vertical angles, which are always the same as their opposite. Therefore,

75 = 2x + 15

To solve this, you would subtract 15 from both sides, getting you closer to finding x.

75 = 2x + 15

 -15         - 15

60 = 2x

Lastly, you would divide both sides to get your value for x.

60 = 2x

/2     /2

30 = x

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What is the step by step solution to 30m=80+22m thank you
ratelena [41]

Answer:

-10

Step-by-step explanation:

30m - 22m =80 therefore m is equal to -10

8 0
2 years ago
12. If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that th
atroni [7]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

We have the following info given:

Confidence= 0.95 the confidence level desired

ME =0.03 represent the margin of error desired

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

The confidence level is 95% or 0.95, the significance is \alpha=0.05 and the critical value for this case using the normal standard distribution would be z_{\alpha/2}=1.96

Since we don't have prior information we can use \hat p= 0.5 as an unbiased estimator

Also we know that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

6 0
1 year ago
Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at lea
Reika [66]
Refer to the diagram shown below.

The given constraints are
(a)  y ≥ 24 ft
(b ) x ≤ 10 ft
(c)  y ≥ 3x
(d)  y ≤ 33 ft
The acceptable region is shown shaded.

A (0, 33) satisfies all conditions
B (4, 36) fails condition (d)
C (4.8, 30.5) satisfies all conditions
D (9, 26) fails condition (c)
E (2, 22) fails condition (a)

Answer:
The acceptable points are A and C.

8 0
1 year ago
Read 2 more answers
9x - 3y = -42 and -9x + 8y =22
ASHA 777 [7]

Answer:

(-5 1/9, -4)

Step-by-step explanation:

Add the equations

5y=-20

y=-4

-9x+8(-4)=22

-9x-32=22

-9x=46

x= - 5 1/9

8 0
1 year ago
Subtract 12h+1 from 34h+4 . what is the answer? a.−1/4h+5 b.1/4h+5 c.−1/4h d.1/4h+3
Lemur [1.5K]

Answer:

D

Step-by-step explanation:

We would like to solve:

(3/4h + 4) - (1/2h + 1)

This is equivalent to:

3/4h + 4 - 1/2h - 1

First, combine like terms; that is, combine the terms with h in them and combine the terms without h in them:

3/4h - 1/2h + 4 - 1

The common denominator for 3/4 and 1/2 is 4, so:

3/4h - 1/2h = 3/4h - 2/4h = 1/4h

Put this back in:

1/4h + 4 - 1

1/4h + 3

The answer is thus D.

<em>~ an aesthetics love</em>

8 0
2 years ago
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