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bulgar [2K]
3 years ago
12

Name the relationship: complementary, linear pair, vertical, alternate interior, corresponding, or

Mathematics
1 answer:
zheka24 [161]3 years ago
5 0

Answer:

Linear pair

Step-by-step explanation:

Angle a and angle b are adjacent angles formed at the point of interception of two straight lines that intersects.

Thus, they are angles formed on a straight line. Angles on a straight line sum up to give 180°, since a straight line angle measures 180°.

Thus, angle a and angle b are regarded as linear pair angles. They are supplementary.

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Todd earned some money doing chores. He spent one-fourth of his money see a movie. Then he spent $6.00 on popcorn and drinks. Wh
Vsevolod [243]

Answer: Todd earned $40 mowing the neighbor's lawn.

Step-by-step explanation:

Let x represent the amount of money that Todd earned, mowing his neighbor's lawn.

He spent one-fourth of his money see a movie. It means that the amount spent in seeing a movie is x/4

Then he spent $6.00 on popcorn and drinks. It means that the total amount spent is

x/4 + 6

The amount left would be

x - (x/4 + 6) = x - x/4 - 6

When he went home, he had $24.00 left. It means that

x - x/4 - 6 = 24

x - x/4 = 24 + 6

x - x/4 = 30

Cross multiplying by 4, it becomes

4x - x = 120

3x = 120

x = 120/3

x = $40

7 0
3 years ago
The variable Z is directly proportional to X. When X is 12, Z has the value 228. What is the value of Z when X = 18
Kisachek [45]
Here, z = kx

k = z/x
k = 228/12
k = 19

So, when x = 18, 
z = 19 * 18
z = 342

In short, Your Answer would be: 342

Hope this helps!
8 0
3 years ago
What is the range of y = sin x?
Greeley [361]

Answer:

See below

Step-by-step explanation:

The function f(x)=sin(x) oscillates between -1 and 1, so the range is -1\leq x\leq 1.

7 0
3 years ago
-9(m+3) +14=-49 please show work
yKpoI14uk [10]

Answer:

m=4

Step-by-step explanation:

−9(m+3)+14=−49

Step 1: Simplify both sides of the equation.

−9(m+3)+14=−49

(−9)(m)+(−9)(3)+14=−49(Distribute)

−9m+−27+14=−49

(−9m)+(−27+14)=−49(Combine Like Terms)

−9m+−13=−49

−9m−13=−49

Step 2: Add 13 to both sides.

−9m−13+13=−49+13

−9m=−36

Step 3: Divide both sides by -9.

−9m

−9

=

−36

−9

m=4

8 0
3 years ago
Which of these pairs of events are dependent?
Pani-rosa [81]

Answer:

the first one

Step-by-step explanation:

8 0
3 years ago
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