Because both lines are parallel, if you add the 5x+5 to the 115 those would equal 180 degrees

so you have 5x+5 + 115 = 180

combine like terms:

5x + 120 = 180

subtract 120 from both sides

5x = 60

x = 60/5
x = 12

6 0

4 years ago

Read 2 more answers

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the di

Olin [163]

Solution: We are given:

ACT scores follow normal distribution with $\mu=20.9,\sigma =4.8$

SAT scores follow normal distribution with $\mu=1026,\sigma=209$

Now, let's find the z score corresponding to Joe's SAT score 1351.

$z=\frac{x-\mu}{\sigma}$

$=\frac{1351-1026}{209}$

$=\frac{325}{209}$

$=1.56$

Therefore, Joe's SAT score is 1.56 standard deviations above the mean.

Now, we have find the Joe's ACT score, which will be 1.56 standard deviations above the mean.

Therefore, we have:

$z=\frac{x-\mu}{\sigma}$

$1.56=\frac{x-20.9}{4.8}$

$1.56 \times 4.8 = x - 20.9$

$7.488=x-20.9$

$x=20.9+7.488$

$x=28.388 \approx 28.4$

Therefore, Joe's equivalent ACT score to SAT score 1351 is 28.4

7 0

4 years ago

a) Jill phones her manager in New York. Phone calls to New York are charged at the rate of £2.50 for a 5-minute call. Jill's cal

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

you can do 5 times 6 and 2.50 times 5

6 0

3 years ago

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Corinna has $88. She wants to buy a $308 plane ticket. She will save up her earnings from working at the museum where she earns

xenn [34]

Answer:

She will need to work 11 hours

Step-by-step explanation:

She has $88, and the plane ticket is $308. 308 - 88 is 220, 220 divided by 20 is 11.

4 0

3 years ago