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Ivan
2 years ago
8

m∠1 is 4 times m∠2. ∠1 and ∠2 are complementary. ∠1 and ∠3 are vertical angles. ∠3 and ∠4 are supplementary. What are the measur

es of the four angles?
Mathematics
1 answer:
kherson [118]2 years ago
3 0

Answer:

Step-by-step explanation:

Let's write a system of equations. I'm going to call them w, x, y, and z.

w = 4x (because m∠1 is 4 times m∠2)

w + x = 90 (bc ∠1 and ∠2 are complementary, meaning they add up to 90)

w = y (bc ∠1 and ∠3 are vertical angles, meaning they are equal)

y + z = 180 (bc ∠3 and ∠4 are supplementary, meaning they add up to 180)

When we substitute w=4x into the second equation, we get 5x=90 → m∠2 = 18°. Since w=4x, m∠1 = 18*4 = 72°. Since w=y, m∠3 = 18°. Finally, because y+z=180, m∠4 = 180-18 = 162°. Hope this helps!

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2. The senior class is having a fundraiser to help pay for the senior trip. Selling a box of chocolates yields a profit of $2.45
BaLLatris [955]

Answer:

Step-by-step explanation:

350 chocolate     1599 of cookies

Step-by-step explanation:

c= box of chocolates

k=box of coockies

k< 550+3c , so   k-3c<550              

 k+c< 1950

 k-3c<550

I will multiply  the second by 3

k -  3c <  550

3k +3c <  5850

ADD BOTH

4k  <  6400

k  <   1600    Cookies should be less than 1600

Since cookies yield more than chocolates , to maximize profit they need to sell the maximum amount of cookies they can

1599 +350= 1949  (less than 1950)

The amount of cookies produced must be no more than 550 boxes plus 3 times the number of chocolates produced.

1599< 3(350) +550= 1050+550=1600)

1599<1600

1599 is at least double of 350 (it could be more than double)

4 0
3 years ago
Pls help me with this and pls make sure of ur answer and dont just answer for points plsss it’s important
Lisa [10]

Answer:

Yes

Yes

No

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Step-by-step explanation:

5 0
2 years ago
What is the equation of the line that passes through the point (5, -6) and has a<br> slope of 3/5
Marysya12 [62]

Answer:

y = 3/5x + -9

or y = 3/5x - 9

Step-by-step explanation:

Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b

Here is what this equation stands for:

y = the y in the order pair you are given, in this case it would be -6

m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5

x = the x in the ordered pair you are given, in this case it would be 5

b = This is the y-intercept, you will mostly be solving for this most of the time

(5,-6)

(x, y)

y = mx+b (Use this Formula)

-6 = 3/5(5) +b (The numbers have been substituted within the formula)

-6 = 3+b (simplify the equation by multiplying the slope by the x)

-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")

-9 = b (solve)

y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)

I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!

8 0
3 years ago
Sold 685 boxes of cookies about how many boxes are they sold rounded to the nearest ten
MissTica

Answer:

690

Step-by-step explanation:

Round from the tens place.

8 0
3 years ago
How many eigths are in 1/4 and how many tenths are in1/2
Hitman42 [59]
There are 2/8 in 1/4 and 5/10 in 1/2 
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3 years ago
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