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Ilia_Sergeevich [38]
3 years ago
5

The measures of complementary angles have a sum of 90 degrees.Angle A and angle B are complimentary, and their measures have a d

ifference of 20 degrees.What are the measures of the angles?
Mathematics
1 answer:
777dan777 [17]3 years ago
5 0

Answer:

The measure of the angles are 55° and 35°

Step-by-step explanation:

Sum of two angles that are complement of each other are 90.

The angles are A and B, so we can write:

A + B = 90

Also,

The difference is 20. Let A be the greater of them, so we can write equation 2 as:

A - B = 20

Now, we add up both equations, eliminate B and solve for A first:

A + B = 90

A - B = 20

---------------

2A = 90 + 20

2A = 110

A = 110/2

A = 55

And now the measure of B:

A + B = 90

55 + B = 90

B = 90 - 55

B = 35

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sukhopar [10]

Answer : B

x^2-9x+14

Lets factor x^2-9x+14

We find out two factors whose product is +14 and sum is -9

Two factors are -2  and -7, we split the middle term -9x using -2  and -7

x^2-2x-7x+14

Group first two terms and last two terms

Then factor out GCF from each term

(x^2-2x)(-7x+14)

x(x-2)-7(x-2)

(x-2)(x-7)

so x-2 is one of the factor

3 0
3 years ago
Jackson picked apples for his family. He picked a total of 8 1/4 pounds. He took 3 3/4 pounds to his aunt and 2 3/8 to his mothe
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Answer: 2 1/8 pounds of apples were left to give his grandmother.

Step-by-step explanation:

He picked a total of 8 1/4 pounds. Converting 8 1/4 pounds to improper fraction, it becomes 33/4 pounds.

He took 3 3/4 pounds to his aunt. Converting 3 3/4 pounds to improper fraction, it becomes 15/4 pounds.

He also took 2 3/8 to his mother. Converting 2 3/8 pounds to improper fraction, it becomes 19/8 pounds.

The total number of apples that he gave to his aunt and mother is

15/4 + 19/8 = 49/8 pounds

The number of pounds of apples left to give his grandmother is

33/4 - 49/8 = 17/8 = 2 1/8 pounds

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A book store owner randomly samples 100 customers on two separate days to see what their favorite type of book is. The data show
Stolb23 [73]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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The owner of a pet shop predicts that 10 out of 20 new puppies are male. He randomly selects 10 of the puppies, and notes that a
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A, 10 of the new puppies are male and 10 are female

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Really this is the one that makes the most since because if 10 of the puppies are male, then 10 must be female.

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3 years ago
The length of a rectangle is 3 cm more than its breadth. If the perimeter of the
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Answer:

breadth = 10 cm

length = 13 cm

Step-by-step explanation:

so,

perimeter = 46cm

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or, 2(3+b+b) = 46cm ( because l = 3+b)

or, 2(3+2b) = 46cm

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