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Svetradugi [14.3K]
3 years ago
14

Multiply.

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
3 0

Answer:

B. 2.25×10−^17

Step-by-step explanation:

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Two vertical angles are expressed as (1/2)x+12 and (3/4)x+8. Find the value of x.
JulijaS [17]

Answer:

x = 16

Step-by-step explanation:

Since vertical angles are equal, we can set these two expressions equal to each other to solve for x:

(1/2)x + 12 = (3/4)x + 8

12 = 0.25x + 8

4 = 0.25x

16 = x

6 0
4 years ago
Justify each step of the solution by stating the property that was used to get to each step.
trapecia [35]

For this case we have the following expression:

4.5 (8-x) + 36 = 102-2.5 (3x + 24)

Applying distributive property to the terms within parentheses we have:

36-4.5x + 36 = 102-7.5x-60

We add similar terms on both sides of equality considering that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

72-4.5x = 42-7.5x

We add 7.5x to both sides of equality:

72 + 3x = 42

We subtract 72 from both sides of equality:

3x = -30

We divide between 3 on both sides of equality

x = -10

ANswer:

Distributive property

Add similar terms

Equality property of the sum

Equality subtraction property

Equality property of the division

3 0
3 years ago
What is the arc measure of YWZ in<br> degrees?<br> (5w+4)<br> (11w)
mote1985 [20]

Answer:

59 degrees

Step-by-step explanation:

In the figure below, XZ is a diameter of circle A.

Since the Angles (5w+4) and (11w) forms a straight line, then:

(5w+4)^\circ+(11w)^\circ=180^\circ\\5w+11w+4=180\\16w=180-4\\16w=176\\w=\frac{176}{16}\\ w=11

Therefore, the arc measure of YZ will be:

5w+4=5*11+4=59^\circ

7 0
3 years ago
What is the diameter of a circle with a circumference of 6π?
vivado [14]

Answer:

the diameter, d, must be 6

Step-by-step explanation:

Formula for circumference of a circle with diameter d is C = πd.  

If C = 6π = πd, then the diameter, d, must be 6.

7 0
4 years ago
A giraffe can run 12 meters per second. Rounded to the nearest tenth, how fast is this in miles per hour? (1 mile= 1609 meters)
Vikki [24]

Answer: A giraffe can run 26.5mph

Step-by-step explanation:

12 times 60 (seconds) times 60 (minutes) = 43200. This is the total number of meters traveled in an hour. You would divide this by 1609 to get the total number of miles per hour.

5 0
3 years ago
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