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dlinn [17]
3 years ago
8

6. Find the measure of the angle. * m Q ? P 113 M 118

Mathematics
1 answer:
mihalych1998 [28]3 years ago
7 0

Answer:

113 - 180 = 67 degrees

Step-by-step explanation:

113 degrees from 180 degrees equals 67 degrees

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Write in equation of the line in the graph
salantis [7]
To write the equation of a line, we use the equation: y = mx +b.

m is the slope of the line, which can be calculated using the equation:
m = (y2 - y1)/(x2 - x1) 
We can choose any two points on the line to put into this equation. The red dots are at (0,0) and (-6,-2), so we will use those, but you would get the same answer by using any other pair of coordinates on the blue line.
m = (-2 - 0)/(-6 - 0) = 2/6 = 1/3

b is the y-intercept of the line. The y-intercept is the y-coordinate when the line crosses the y-axis. It crosses the y-axis at (0,0), so the y-intercept is 0.


Now, we plug our values back into the full equation to get the equation of the line.
y = mx + b
y = (1/3)x + 0 

So the final answer is y = (1/3)x or y = x/3, depending on how you want to write it.



6 0
3 years ago
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Solve 3^2x+3=243 for x.<br><br> A. x = 10<br> B. x = 2<br> C. x = 2/5<br> D. x = 1
telo118 [61]
I think its B but im not 100% sure
3 0
3 years ago
Can someone please answer this???? ASAP
timofeeve [1]

Answer:

A. y=-\dfrac{8}{7}x-\dfrac{18}{7}

Step-by-step explanation:

Let y=mx+b be the equation of the perpendicular line.

Two perpendicular lines have slopes with product equal to -1. The slope of the given line is \frac{7}{8} Hence,

\dfrac{7}{8}\cdot m=-1\\ \\m=-\dfrac{8}{7}

is the slope of needed line.

This line passes through the point (-4,2), so its coordinates satisfy the equation:

2=-\dfrac{8}{7}\cdot (-4)+b\\ \\b=2-\dfrac{32}{7}=-\dfrac{18}{7}

Therefore, the equation of the line is

y=-\dfrac{8}{7}x-\dfrac{18}{7}

7 0
3 years ago
As a promotion, a clothing store draws the name of one of its customers each week. The prize is a coupon for the store. If the w
kompoz [17]

The given formula is f(x) = 20(1.2)^x

The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.


A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)

B) the original amount is $20

C) for 2 weeks, replace x with 2 and solve:

20(1.2)^2

20(1.44) = $28.80

After 2 weeks the coupon is $28.80

D)  To solve for the number of weeks (x) set the equation equal to $100:

100 = 20(1.2)^x

Divide both sides by 20:

5 = 1.2^x

Take the natural logarithm of both sides:

ln(5) = ln(1.2^x)

Use the logarithm rule to remove the exponent:

ln(5) = x ln(1.2)

Divide both sides by ln(1.2)

x = ln(5) / ln(1.2)

Divide:

X = 8.83

At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100

The answer is 9 weeks.

4 0
3 years ago
Find the values of A, B, and C in the table.<br><br> A=_____<br> B=_____<br> C=_____
balandron [24]

Answer:

A= 1

B= 2

C= Below

Step-by-step explanation:

I just did it on edg2020

8 0
3 years ago
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