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valina [46]
3 years ago
13

In the diagram g|| h, m<1=(4x+36) and m<2=(3x-3) What is the measure of <3

Mathematics
1 answer:
Roman55 [17]3 years ago
3 0

Answer:

60°

Step-by-step explanation:

Since g||h the sum of angle 1 and angle 2 must be equal to 180

4x + 36 + 3x - 3 = 180

7x + 33 = 180

7x = 147

x = 21

The sum of angle 1 and angle 3 is equal to 180 because they are complementary angles

m<1 = 4x + 36 ➡ 4 × 21 + 36 = 120° so angle 3 = 60°

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valentina_108 [34]
To buy 3 packs, the cost would be $4.68
4 0
2 years ago
What is the value of 10+/-3-6/
garri49 [273]

Answer:

18

Step-by-step explanation:

-3-6= -8 but since its absolute value it'll be 8 so 8 plus 10 = 18

7 0
3 years ago
Determine which ordered pairs are solutions to the equation 3x+7y=21
mafiozo [28]

Answer:

(0,3) and (7,0) are solutions.

Step-by-step explanation:

In a pair of coordinates, they are always listed as (x,y). Since this is the case, you plug in each coordinate to their respective places.

For (0,3)

3(0) + 7(3) = 21

0 + 21 = 21

For (7,0)

3(7) + 7(0) = 21

21 + 0 = 21

To double check that (1,2) isn't a solution:

3(1) + 7(2) = 21

3 + 14 = 21

17 = 21 X

This doesn't work.

Marking as Brainliest is much appreciated.

7 0
3 years ago
Katie has been withdrawing the same amount of money from her savings account every month. The table below shows the amount of mo
pochemuha
<h3>Answer:  Choice B)  $790</h3>

==============================================================

Explanation:

x = number of months

y = account balance

The first column of the table has (x,y) = (8,470) to mean that on month 8, her balance was $470

Then we have (10, 390) meaning x = 10 and y = 39. As x increased by 2, y dropped by 470-390 = 80 dollars. She withdrew $80 over the course of two months. Therefore, she is withdrawing 80/2 = 40 dollars a month. This is the slope value. It represents the rate of change. We could use the slope formula to find the same result.

Let m = -40 be the slope. It's negative to indicate the value of y goes down as x goes up, or vice versa.

With m = -40, x = 8 and y = 470, we can find the y intercept b like so

y = mx+b

470 = -40*8+b

470 = -320+b

470+320 = b

790 = b

b = 790 is the y intercept, and it represents the initial account balance before Katie started withdrawing money.

In other words, it represents the starting amount of money she has.

-------------------------

As a slight alternative, we could use the point slope form to find the y intercept

y - y1 = m(x - x1)

y - 470 = -40(x - 8)

y = -40(x-8) + 470

y = -40x + 320 + 470

y = -40x + 790

You don't have to use (x,y) = (8,470). You can use any column you want from the table of values. The value of m will be m = -40 the whole time however.

-------------------------

As a way to check to see if we have the correct equation, try plugging in various values of x to see if you get the proper y values as outputs as shown in the table.

For instance, if we tried x = 10, then,

y = -40x + 790

y = -40*10 + 790

y = -400+790

y = 390

That confirms column 2. I'll let you verify the other columns.

8 0
2 years ago
What is the length of the third side, in inches, of the triangle below?
vlada-n [284]
Using the pythagoras theorem 
side = sqrt (61^2 - 11^2)  =  sqrt 3600  = 60 in Answer
7 0
2 years ago
Read 2 more answers
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