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Degger [83]
3 years ago
5

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

Mathematics
1 answer:
maks197457 [2]3 years 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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One integer is 3 times another if the product of the two integers is 75 then find the integers
Kitty [74]

Answer: HOPE THIS HELPED! :D

5 x 15 = 75

Step-by-step explanation:

15 is 3x 5

and product do 3x15 is 75

so answer would be

5    &     15

6 0
3 years ago
Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed s
Alborosie
Subtract 2_5/8 minus 1_1/3:
First, get the fractions to have a common denominator by multiplying the denominators together: 8*3 = 24
Rewrite both fractions with this new denominator:
5/8 needs to be multiplied by 3 on top and bottom to make it have a denominator of 24:
5/8 * 3/3 = 15/24
1/3 needs to be multiplied by 8 on top and bottom to make it have a denominator of 24:
1/3 * 8/8 = 8/24
Now that the fractions have been rewritten with the same denominator, subtract the mixed numbers:
2_15/24 - 1_8/24
Whole numbers:
2 - 1 = 1
Fractions:
15/24 - 8/24 = 7/24.
The can of condensed soup contains 1_7/24 cup
3 0
3 years ago
A: 28, 23,30, 25, 27
Serggg [28]

Answer:

8

Step-by-step explanation:

mean of A=28+23+30+25+27/5 = 26.6

average of B=22+19+15+17+20/5 = 18.6

now,

difference= 26.6-18.6

=8,,

6 0
3 years ago
Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a) integral from 1^(infinity) e^(-
AVprozaik [17]

Answer:

a) So, this integral is convergent.

b) So, this integral is divergent.

c) So, this integral is divergent.

Step-by-step explanation:

We calculate the next integrals:

a)

\int_1^{\infty} e^{-2x} dx=\left[-\frac{e^{-2x}}{2}\right]_1^{\infty}\\\\\int_1^{\infty} e^{-2x} dx=-\frac{e^{-\infty}}{2}+\frac{e^{-2}}{2}\\\\\int_1^{\infty} e^{-2x} dx=\frac{e^{-2}}{2}\\

So, this integral is convergent.

b)

\int_1^{2}\frac{dz}{(z-1)^2}=\left[-\frac{1}{z-1}\right]_1^2\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\frac{1}{1-1}+\frac{1}{2-1}\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\infty\\

So, this integral is divergent.

c)

\int_1^{\infty} \frac{dx}{\sqrt{x}}=\left[2\sqrt{x}\right]_1^{\infty}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=2\sqrt{\infty}-2\sqrt{1}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=\infty\\

So, this integral is divergent.

4 0
3 years ago
Select all ratios equivalent to 3:5.<br> 13:30<br> 4:15<br> 6:10
uysha [10]

Answer:

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Step-by-step explanation:

3:5 is equivalent to 6:10 because you multiply both 3 and 5 by 2 and you get 6:10. every thing else is wrong

6 0
2 years ago
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