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serious [3.7K]
2 years ago
11

A, B, and C are midpoints of ∆XYZ. What is the length of yz

Mathematics
1 answer:
beks73 [17]2 years ago
8 0

Answer:

Step-by-step explanation:

Comment

When you join 2 consecutive midpoints with a line between them, the length of that line is 1/2 the length of the side opposite the line you just drew.

In other words 24 is 1/2 the length of yz.

Solution

1/2 yz = AB

AB = 24

1/2 yz = 24                 Multiply both sides by 2

2(1/2 yz) = 2*24

yz = 48

Answer

yz = 48

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Write an equation that is parallel to y = 3x and passes through (-4 , -3)
Anit [1.1K]
The slopes of two parallel lines must be identical.

We have slope m=3, so the slope for the parallel line be the same.

Now, to find an equation that also passes through the given point, we use slope-point form, y-y_1=m(x-x_1), where our point (-4,-3) is substituted for (x_1,y_1).

y+3=3(x+4)

Now, we convert to slope-intercept form as such.

y=3x+12-3\\y=3x+9

And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.

8 0
3 years ago
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8 0
3 years ago
The mean radius of Earth is 6,371.0 kilometres and the mean radius of Earth’s Moon is 1,737.5 kilometres.
OLEGan [10]

Answer: 29,113.2 km

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Circumference = 2 x π x radius

Replacing with the values given:

Earth's mean circumference = 2 π 6,371.0 = 40,030.2 km

Earth's moon mean circumference = 2 π 1,737,5= 10,917 km

Now, we have to subtract Earth's moon mean circumference to Earth's mean circumference:

40,030.2- 10,917 =29,113.2 km

Feel free to ask for more if needed or if you did not understand something.  

3 0
3 years ago
1. A crash repair bill comes to $1380.00. How much is 10% of
SpyIntel [72]

Answer:

1. 10% of the bill is $138. The final bill once 10% is taken off is $1242.

2. 20% of the total is $34.10. The final total once the 20% is taken off is $136.4

Step-by-step explanation:

1. A crash repair bill comes to $1380.00. How much is 10% of the bill? What is the final bill once 10% is taken off?

To find how much is 10% of the bill, we multiply the bill by 0.1

0.1*1380 = 138

10% of the bill is $138.

To find the final bill, we subtract the initial bill by 10%.

1380 - 138 = 1242

The final bill once 10% is taken off is $1242.

2. A person buys a new fan belt, a new alternator, and a new water pump for their car. The total comes to $170.50. What is 20% of the total? How much is the final total once the 20% is taken off?

Same logic as above.

0.2*170.50 = 34.1

20% of the total is $34.10.

170.50 - 34.1 = 136.4

The final total once the 20% is taken off is $136.4

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3 years ago
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