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2 years ago

If l is Parallel to m, find the value of y

Mathematics

2 answers:

BARSIC [14]2 years ago

5 0

Step-by-step explanation:

1st

8x-59 + 2x-11 = 180

10x -70 = 180

10x = 180 + 70

10x = 250

x = 25

2nd

8x - 59 = 15y + 6

8(25) -59 = 15y + 6

200 -59 = 15y + 6

141 = 15y + 6

15y + 6 = 141

15y = 141 - 6

15y = 135

y = 135/15

y = 9

Stells [14]2 years ago

4 0

Answer:

y=9

Step-by-step explanation:

A line is equal to 180°.

8x-59+2x-11=180

10x-70=180

$\frac{10x}{10} =\frac{250}{10}$

x=25

8(25)-59=141°

2(25)-11=39°

(8x-59)° and (2x-11)° are complementary, so 141 + 39=180

(15y+6)°= (8x-59)°

15y+6= 141

15y=135

y=9

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Drupady [299]

A^2 + 5^2 = 10^2
a^2 + 25 = 100

a^2 = 100-25
a^2 = 75
a = sqrt(75) = 5sqrt(3)
answer is A

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2 years ago

The area of an extra large circular pizza from Gambino's Pizzeria is 484\pi \text{ cm}^2484π cm 2 484, pi, space, c, m, start su

oksano4ka [1.4K]

Answer:

The diameter of an extra large pizza from Gambino's Pizzeria is $44\ cm$

Step-by-step explanation:

we know that

The area of a circle (circular pizza ) is equal to

$A=\pi r^{2}$

we have

$A=484\pi\ cm^{2}$

substitute in the formula and solve for the radius r

$484\pi=\pi r^{2}$

Simplify

$484=r^{2}$

$r=22\ cm$

Find the diameter

Remember that the diameter is two times the radius

$D=2(22)=44\ cm$

3 0

2 years ago

Read 2 more answers

According to a human modeling project, the distribution of foot lengths of women is approximately Normal with a mean of 23.3 ce

Yakvenalex [24]

Answer:

26.11% of women in the United States will wear a size 6 or smaller

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 23.3, \sigma = 1.4$

In the United States, a woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or smaller?

This is the pvalue of Z when X = 22.4. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{22.4 - 23.3}{1.4}$

$Z = -0.64$

$Z = -0.64$ has a pvalue of 0.2611

26.11% of women in the United States will wear a size 6 or smaller

8 0

2 years ago

How many ounces does a 2-ton rhinoceros weigh?

suter [353]

Answer:

64,000 ounces

Step-by-step explanation:

1 ton = 32,000 ounces

2 tons x 32,000 ounces (which is equal to one ton)

=64,000 ounces

2 tons = 64,000 ounces

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2 years ago

In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f

Paul [167]

A. You may set the variables in either order. But for argument sake, let's set as follows:

x = Amount of bookshelves
y = Amount of tables

B. Because of the amount of things you need to make, the following is an inequality using those variables.

x + y > 25

Plus you can determine a second inequality based on the amount of money that you have to spend.

20x + 45y < 675

Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.

C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.

(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding.

8 0

2 years ago