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professor190 [17]
4 years ago
5

Find the measure of

Mathematics
1 answer:
koban [17]4 years ago
7 0

Answer:

m∡GHI = 21°

Step-by-step explanation:

Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.

That means you can set them equal to each other

x + 7 = 3x - 21

x = 14

Now plug x into GHI

14 + 7 = 21

m∡GHI = 21°

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On Friday it snowed 3 2/7 inches. On Saturday it snowed 2/7 inches. How much more did it snow on Friday then Saturday? A. 3 2/7
GalinKa [24]

Answer:

3 inches

Step-by-step explanation:

We need to take the snow on Friday - the snow on Saturday

3 2/7 - 2/7

3 +(2/7-2/7)

3 inches

3 0
4 years ago
3 sponges cost $3.90. What is the unit price?
Leokris [45]

Answer:

To find the unit price, we divide the total cost by the number of items.

$3.90 ÷ 3 = $1.30

That means the unit price is $1.30 for each sponge.

7 0
3 years ago
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The value of a stock increases at a rate of 1/2% per year. If the initial value of the stock $40 a share, when will the value of
fomenos

Answer:

After 45.7 years

Step-by-step explanation:

∵ r = 1/2% per year

∵ P0 = $40

∵ Pn = $50

∵ Pn = P0 ( 1 + r/100)^n-1

∵ P0 is initial value , Pn is the value after n years , is the rate

∴ 50 = 40 (1 + 0.5/100)^n-1

∴ 50/40 = (1.005)^n-1

∴ 1.25 = (1.005)^n-1 ⇒ insert ln in both sides

∴ ln(1.25) = (n-1)ln(1.005)

∴ n - 1 = ln(1.25)/ln(1.005)

∴ n = ln(1.25)/ln(1.005)  + 1 = 45.7 years

7 0
3 years ago
James is building a rectangular fire pit . He dug a joke 20 inches by 20 inches . He decides to make each side of the fire pit 4
Zanzabum

Answer:

44%

Step-by-step explanation:

the area of a rectangle = Length × Breadth

original  area of james pit = 20×20=400in²

new size = 20 + 4 =24 inches

new area = 24 × 24=  576in²

increase in area = 576 - 400 = 176

percentage increase = \frac{increase}{original size} × 100

                                   =\frac{176}{400} × 100

                                   =0.44 × 100

                                   =44%

percentage increase in area is 44%

5 0
4 years ago
X/9 = 9/27 please solve this for me
mars1129 [50]

Answer:

x=3

Step-by-step explanation:

This is a proportional equation:

Given: x/9=9/27

Cross-multiply: 27x=81

Divide: x=3

So x=3

6 0
3 years ago
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