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Aloiza [94]
2 years ago
8

The degree measure of one of two complementary angles is 30 less than twice that of the other. What are the degree measures of t

he angles? (Remember that complimentary angles add to be 90 degrees) 45 degrees and 45 degrees 30 degrees and 60 degrees 27 degrees and 63 degrees 40 degrees and 50 degrees
Mathematics
1 answer:
KatRina [158]2 years ago
3 0
Let n = one of the angles
Let 2n -30 = the other

n+ 2n -30 =90⁰  (because they are complementary)
Combine like terms --     3n -30 = 90
Add 30 to both sides of the equation
3n=120°
 Divide both sides by 3 and n=40°    2n -30 = 80 -30 = 50°
So one angle is 40° and the other is 50° and those angles are complementary. 
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The total amount of spending per​ year, in​ billions, on pets in a certain country x years after 2000 is given by the following
Kamila [148]

Answer:

40.4502 billion dollars

51.3432 billion dollars

Step-by-step explanation:

Given :

Total amount spent in billions in pets x years after year, 2000 ;

P(x)=2.1786x + 25.2

Amount spent in 2007 ;

x = 2007 - 2000 = 7 years

Put x = 7 in the equation :

P(7)=2.1786(7) + 25.2 = 40.4502

Amount spent in 2012 :

x = 2012 - 2000 = 12 years

Put x = 12 in the equation :

P(12) = 2.1786(12) + 25.2 = 51.3432

The amount spent in billik dollars on pets in :

2007 = $404502 billion

2012 = $51.3432 billion

8 0
3 years ago
Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8
Rama09 [41]

Answer:

Answer:

3x + 3y = 0

7x - y = 8

Step-by-step explanation:

3 0
3 years ago
(-33)+(-7)=
sasho [114]

Answer:

-40

-6

51

Step-by-step explanation:

-33+-7 you are adding two negatives

9+(-15) you are adding a negative to a positive which gets you closer to zero

5-(-46) you are subtracting a negative which is adding

7 0
3 years ago
Simplify the following equation
goblinko [34]
First get rid of the last set of () by doing distributive property with the - sign

x^2 + 2x -1 - x^2 + 2x -1
=4x - 2
7 0
3 years ago
Read 2 more answers
Reflect (7, 3) in (a) the x-axis and (b) the y-axis
Kisachek [45]

Answer:

In x-axis: (7,-3), In y-axis: (-7,3)

Step-by-step explanation:

The rule of the reflection of a point across the x-axis is as shown:

The reflection of the point (x,y) across the x-axis is given by (x,-y).

The point given to us is (7,3), when reflected across the x-axis we get:

(x,-y)=(7,-3)

Now, when a point (x,y) is reflected across the y-axis we get the point (-x,y).

So when the point (7,3) is reflected across the y-axis we get: (-x,y)=(-7,3).

3 0
3 years ago
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