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3 years ago

∠1 and ∠2 are supplementary angles. If m∠1 = 77°, then m∠2 =

Mathematics

1 answer:

posledela3 years ago

7 0

Answer:

B. 103°

Step-by-step explanation:

Supplementary angles add up to 180°, so we can find the measure of angle 2 by subtracting 77 from 180

180 - 77

= 103

So, m∠2 is 103°

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Multiply

Dmitriy789 [7]

Answer:

The product of given two fractions is

$\frac{4(x+2)}{(x-1)(x+3)}$

Therefore $\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{4(x+2)}{(x-1)(x+3)}$

Step-by-step explanation:

Given expression is

$\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}$

To find the product of two given fractions as below :

$\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{2(5)}{x(x-1)}\times \frac{2x(x+2)}{5(x+3)}$

$=\frac{10}{x(x-1)}\times \frac{2x(x+2)}{5(x+3)}$

$=\frac{20x(x+2)}{5x(x-1)(x+3)}$

$=\frac{20x^2+40x}{(5x^2-5x)(x+3)}$ (multiply each term in the factor to each term in the another factor )

$=\frac{20x^2+40x}{5x^3+15x^2-5x^2-15x}$ ( adding the like terms )

$=\frac{20x^2+40x}{5x^3+10x^2-15x}$

$=\frac{5x(4x+8)}{5x(x^2+2x-3)}$

$=\frac{4(x+2)}{(x-1)(x+3)}$

Therefore $\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{4(x+2)}{(x-1)(x+3)}$

Therefore the product of given two fractions is $\frac{4(x+2)}{(x-1)(x+3)}$

6 0

3 years ago

Help! 10 Points not 5!

KATRIN_1 [288]

9514 1404 393

Answer:

Step-by-step explanation:

Solve the first for a, then substitute into the second.

a = 27/(5b^2)

Then ...

(27/(5b^2))^2·b = 135

27^2/(5^2·135) = b^3 = 27/125

b = ∛(27/125) = 3/5

a = 27/(5(3/5)^2) = 15

The expression of interest is ...

a +5b = 15 + 5(3/5) = 15 +3

a +5b = 18

6 0

3 years ago

9. The table below shows the change in a stock price over a period of a week. If 12 shares of

ankoles [38]

Answer:

$ 6.24

Step-by-step explanation:

(16.87 - 16.35) x 12 = 6.24

4 0

3 years ago

a crew is made up of 20 men; the rest are women. 66 2/3% of the crew are men. How many people are in the crew? Show the work plz

liberstina [14]

20 men

66 2/3% men

66 2/3% of 30= 20

30+20= 50

Hope this helps!

6 0

3 years ago

Which equasion represents a line that is parallel to the line y=-4x+5

Debora [2.8K]

In order to be parallel to your line, a line has to have the same slope as your line. So it has to have slope −4
−
4
.

Thus any line parallel to the line =−4+5
y
=
−
4
x
+
5
has an equation of the form =−4+
y
=
−
4
x
+
b
, where
b
is any number.

4 0

3 years ago