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Gemiola [76]
2 years ago
12

The below image shows the intersection of two lines. What is themeasurement of angle b?

Mathematics
1 answer:
Sati [7]2 years ago
8 0

Answer:

133

Step-by-step explanation:

The two angles are known as vertical angles, and vertical angles are equal to one another. Therefore, the measure of angle b is 133.

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Rewrite the expression in the form y^n <br><br> y^-7/y^-13
Masja [62]

Answer:

y {}^{n + 6}

6 0
2 years ago
Jose needs to memorize words on a vocabulary list for French class. He has memorized 20 of the words, which is four-fifths of th
Stella [2.4K]

Answer:

25

Explanation:

In order to solve this the easiest way you can use equivalent fractions.

\frac{4}{5} = \frac{20}{?}\\

Since 4 times 5 equals 20 we can multiply 5 times 5 to get our answer.

\frac{4}{5} * \frac{5}{5} = \frac{20}{25}

25 is the answer. But, if we couldn't have gotten to 20 through the multiplication we could use a proportion. That would look like the initial problem but instead of a "?" we would use a variable. I will use <em>t</em> for total.

\frac{4}{5} = \frac{20}{t}\\

So now we have our problem set up. The next step is to cross multiply. 4 by <em>t</em> and 5 by 20.

4t = 5 * 20\\4t = 100\\

And now we can solve it like a normal algebra problem.

\frac{4}{4}t = \frac{100}{4}\\t = 25

Either way, we get 25.

5 0
2 years ago
2 a - 8 &lt; 4 + 8 a &lt; - a - 5
Leokris [45]

Answer:

2a - 8 < 4 + 8a <  - a - 5 \\  = (2 + 8 + 1)a < ( 8 + 4 - 5) \\ =  9a < 7 \\ a <  \frac{7}{9}

6 0
2 years ago
the sum of two numbers is 18. twice the first number increased by three times the second number equals 40. find the numbers
ryzh [129]

Answer:

4 and 14

Step-by-step explanation:

:the sum of two numbers is 18" can be written as

 x + y = 18               let x represent the first number, and y the second

"twice the first number increased by three times the second number equals 40" can be written as

2x + 3y = 40

Now solve this system. Using elimination will probably be the easier method...

1.   x +  y = 18

2.  2x + 3y = 40

Multiply equation 1 by -2 so the x variable will be the opposite of the x variable on equation 2.

1.  -2x - 2y = -36

2.  2x  + 3y = 40

Now add the equations together, cancelling out 'x'

y  = 4     ( 2x + (-2x) = 0, so 'x' is gone, 3y + (-2y) = y, 40 + (-36) = 4)

Since y = 4, plug that into either equation 1 or 2 and solve for x

1.  x + 4 = 18     (y becomes 4)

     x = 14        (subtract 4 on both sides to isolate 'x')

7 0
3 years ago
um barco avista a torre de um farol segundo um ângulo de 6 com o novel do mar. sabendo quea altura do farol é de 42m, determinar
zalisa [80]
No speak English sorry about that.l.
3 0
3 years ago
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