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Nastasia [14]
3 years ago
8

1 and 2 are complementary angles. The measure of 1 is 54 . The measure of 2 is 6(x +1). Find the value of x.

Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0

Answer:

x = 5

Step-by-step explanation:

Complementary angles are two angles that add up to 90 degrees. 90 - 54= 36, so 6(x+1), or 6x+6 = 36. You subtract 6 from both sides to get 6x=30, then divide by 6 on both sides to get x=5. So the answer would be x=5.

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Susan incorrectly factored the expression below. 12a − 15b + 6 3 (4a + 5b + 3)
hichkok12 [17]

Answer:

3(4a−5b+2)

Step-by-step explanation:

The answer should have originally been 3(4a-5b+2)

3(4a+5b+3)= 12a+15b+9 which is incorrect.

6 0
2 years ago
A family eats out at a restaurant and the total for their meals is $73.89. They also pay sales tax of 5.8% and leave a tip for t
MrMuchimi

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C.

Step-by-step explanation:

Edge 2020

4 0
3 years ago
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What are the coordinates of the center of the ellipse shown below?
photoshop1234 [79]

Answer:

Option D (7, -3)

Step-by-step explanation:

We know that the general equation of an ellipse has the form:

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1

Where the point (h, k) are the coordinates of the center of the ellipse

In this case the equation of the ellipse is:

\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1

Then

h=7\\\\k = -3

So The coordinates of the center of the ellipse are (7, -3)

8 0
3 years ago
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Han's house is 450 meters from school. Lin's house is 135 meters closer to school. how far is Lin's house from school
Alenkinab [10]

Answer:

Lins house is 315 metres from school

Step-by-step explanation:

It's simple, just do 450-135.

3 0
3 years ago
Read 2 more answers
VERY URGENT HAVE A TEST TO TAKE
Daniel [21]
The easiest way is to try the point (-4,1), that is, x=-4, y=1,
to see which equation works.
b works.

The usual way to do it is to find the equation of the circle
standard form of a circle is (x-h)²+(y-k)²=r², (h,k) are the coordinates of the center, r is the radius. 
in this case, the center is (-2,1), so (x+2)²+(y-1)²=r²
the given point (-4,1) is for you to find r: (-4+2)²+(1-1)²=r², r=2
so the equation is (x+2)²+(y-1)²=2² 
expand it: x²+4x+4+y²-2y+1=4
x²+y²+4x-2y+1=0, which is answer b.

5 0
3 years ago
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