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3 years ago

the two lines below are parallel. if the slope of the red line is 4, what is the slope of the green line

Mathematics

1 answer:

densk [106]3 years ago

4 0

Parallel lines are equal to each other(congruent). the slope is 4

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Determine the unknown angle measures, to the nearest degree, in the diagram provided.

serg [7]

Answer:

a is 53.8°, and b is 36.2°

Step-by-step explanation:

Using sine trig rule:

${ \boxed{ \bf{ \sin(b) = \frac{opposite}{hypotenuse} }}}$

${ \tt{ \sin(b) = \frac{78}{132} }} \\ \\ { \tt{b = { \sin }^{ - 1}( \frac{78}{132} ) }} \\ \\ { \tt{b = 36.2 \degree}}$

Summation of angles of triangle:

${ \tt{a + b + 90 \degree = 180 \degree}} \\ { \tt{a + 36.2 \degree + 90 \degree = 180 \degree}} \\ { \tt{a = (180 - 36.2 - 90) \degree}} \\ { \tt{a = 53.8 \degree}}$

7 0

2 years ago

Tanetta buys a truck for $24,600 with a 4% annual interest rate over 6 years in a loan where interest is compounded monthly. Wha

Ivenika [448]

Answer:

$4618.44

Step-by-step explanation:

6 0

2 years ago

7 - 3[(n 3 + 8n) ÷ (-n) + 9n 2]

posledela

Answer:

$-24n^{2} +31$

Step-by-step explanation:

Given: $7-3[(n^{3} +8n)\div (-n)+9n^{2} ]$

Now simplifying expression using PEDMAS

First solving for small parenthesis.

taking common of n

= $7-3[n(n^{2} +8)\div (-n)+9n^{2} ]$

using law of indices, $\frac{x^{m} }{x^{n} } = x^{m-n}$

= $7-3[-(n^{2} +8)+9n^{2} ]$

Opening parenthesis

= $7-3[-n^{2} -8+9n^{2} ]$

= $7-3[ -8+8n^{2} ]$

Again using distributive property of multiplication

= $7+24-24n^{2}$

= $-24n^{2} +31$

Hence, the answer is $-24n^{2} +31$

8 0

3 years ago

What is the value of √ x + 3 when x = 15?

madreJ [45]

Answer: x=15

X=√15

√15+3

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Y=40000-300x the y intercept is

kirill [66]

The y-intercept would be (0,40000)

4 0

3 years ago