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WITCHER [35]
3 years ago
6

Demarco wants to find the angle measures of this parallelogram. He knows that the first step is to find the value of x. Which of

these equations will result in the correct value of x?
A. x + 15 = 6x + 4

B. 7x − 19 + 2x − 8 = 180

C. 7x − 19 = x + 15

D. 6x + 4 + 7x − 19 = 180

Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0
The answer is B. You had to check the work in the calculator after you showed the work. Two answers gave you whole numbers , then when you plug it in only one of them solved to 180 correctly

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X/5-2=x/2+3 solve for x
Makovka662 [10]
Solve for x:x/5 - 2 = x/2 + 3
Put each term in x/5 - 2 over the common denominator 5: x/5 - 2 = x/5 - (10)/5:x/5 - (10)/5 = x/2 + 3
x/5 - (10)/5 = (x - 10)/5:(x - 10)/5 = x/2 + 3
Put each term in x/2 + 3 over the common denominator 2: x/2 + 3 = x/2 + 6/2:(x - 10)/5 = x/2 + 6/2
x/2 + 6/2 = (x + 6)/2:(x - 10)/5 = (x + 6)/2
Multiply both sides by 10:(10 (x - 10))/5 = (10 (x + 6))/2
10/5 = (5×2)/5 = 2:2 (x - 10) = (10 (x + 6))/2
10/2 = (2×5)/2 = 5:2 (x - 10) = 5 (x + 6)
Expand out terms of the left hand side:2 x - 20 = 5 (x + 6)
Expand out terms of the right hand side:2 x - 20 = 5 x + 30
Subtract 5 x from both sides:(2 x - 5 x) - 20 = (5 x - 5 x) + 30
2 x - 5 x = -3 x:-3 x - 20 = (5 x - 5 x) + 30
5 x - 5 x = 0:-3 x - 20 = 30
Add 20 to both sides:(20 - 20) - 3 x = 20 + 30
20 - 20 = 0:-3 x = 30 + 20
30 + 20 = 50:-3 x = 50
Divide both sides of -3 x = 50 by -3:(-3 x)/(-3) = 50/(-3)
(-3)/(-3) = 1:x = 50/(-3)
Multiply numerator and denominator of 50/(-3) by -1:Answer:  x = (-50)/3
7 0
3 years ago
Order the numbers from least to greatest.<br> 1/8, 5/7, 0.35,0.39, 9/10
Anna11 [10]

Answer:

1/8, 0.35, 0.39, 5/7, 9/10

Step-by-step explanation:

1/8 = 0.125

5/7 = 0.714

0.350

0.390

9/10 = 0.900

now let's order them from least to greatest:

0.125 , 0.350 , 0.390 , 0.714 , 0.900

= 1/8, 0.35, 0.39, 5/7, 9/10

if you have trouble with these types of problems change them all into decimals which will make things easier!

:D

6 0
3 years ago
Read 2 more answers
Miranda will have 500 guests at her Sweet Sixteen party. She conducted a random survey of 50 guests to determine how many of eac
antiseptic1488 [7]

Answer:

240 sodas, 160 water, 100 juice

Step-by-step explanation:

multiply everything by 10

6 0
2 years ago
According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the
Elanso [62]

Answer: 0.0885

Step-by-step explanation:

Given : According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest.

i.e. p= 0.16

Sample size : n= 154

Now, the  probability that more than 20% of this sample is comprised of female employees is given by :-

P(p>0.20)=P(z>\dfrac{0.20-0.16}{\sqrt{\dfrac{0.16(1-0.16)}{154}}})

[∵ z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}]

=P(z>1.35)\approx1-P(z\leq1.35)=1-0.9115=0.0885  [Using the standard z-value table]

Hence, the required probability = 0.0885

6 0
3 years ago
I’m confused on this one
Lorico [155]
The question is asking which of the following does not have side that are parallel. So which of them have lines that would never touch if they were never ending lines.
4 0
3 years ago
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