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liq [111]
3 years ago
9

Find m∠7 if m∠8 = 119° m∠7 = ???

Mathematics
1 answer:
natka813 [3]3 years ago
8 0

Answer:

119

Step-by-step explanation:

it will be the same as 8 because they are adjacent..

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Find k so that the distance from (–1, 1) to (2, k) is 5 units.
velikii [3]

Answer:

k = -3 or 5

Step-by-step explanation:

The given parameters are;

The line extends from points (-1, 1) to point (2, k)

The length of the line = 5 units

The formula for the length, l, of a line given its coordinates can be  found by the following formula;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

Therefore, we have;

5 = \sqrt{\left (k-1 \right )^{2}+\left (2-(-1)  \right )^{2}}

Which, by squaring both sides, gives;

25 = (k - 1)² + (2 - (-1))² = (k - 1)² + (2 + 1)² = (k - 1)² + 3²

25 = (k - 1)² + 3² = k² - 2·k + 1 + 9

25 - 25 = 0 = k² - 2·k + 1 + 9 - 25 = k² - 2·k - 15

0 = k² - 2·k - 15

0 = (k +3) × (k - 5)

Therefore, k = -3 or 5

When k - -3, we have;

\sqrt{\left ((-3)-1 \right )^{2}+\left (2-(-1)  \right )^{2}}= \sqrt{(-4)^2+3^2} = \sqrt{16 + 9}  = \sqrt{25} = 5

When k = 5, we have;

\sqrt{\left (5-1 \right )^{2}+\left (2-(-1)  \right )^{2}}= \sqrt{4^2+3^2} = 5

8 0
3 years ago
Joe started saving $25 in January. Each month after, he increased the amount by $5. After
topjm [15]
So basically you start with $25 and then you can multiply 5✖️12 because there is 12 months in a year so then you take the product and multiply it again by 2 and finally you add it to $25.I’m not really good at math but I hope this helps :)
6 0
2 years ago
Elijah drives 9 miles to his friends house in 1/6 hour. How fast does Elijah drive, in miles per hour? If he drives at this rate
katrin [286]

Answer:

He drives at 54 mph. He will get 108 miles if he drives at that rate for 2 hours.

Step-by-step explanation:

9 miles in 1/6 of an hour

9x6=driving speed of 54mph

54x2 is 108 miles


7 0
3 years ago
Which parent function is represented by the graph?
IRINA_888 [86]

I cant see all the choices but its a quadratic function#

4 0
3 years ago
Read 2 more answers
Which number is equivalent to (1/3)^-4<br><br> A.12<br> B.81<br> C.1/12<br> D.1/81
marishachu [46]

Answer:

B

Step-by-step explanation:

(1/3)^-4

=1/[(1/3)^4]

=1/(1/81)

=81

6 0
2 years ago
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