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valentinak56 [21]
3 years ago
5

Which statement regarding the interior and exterior angles of a triangle is true?

Mathematics
1 answer:
yulyashka [42]3 years ago
4 0
Draw a triangle on your paper and extend the base of the triangle so it extends past the base angle.  The base angle inside the triangle is the interior angle and the one outside the triangle between the extended line and the outside of the interior angle is the exterior angle.  A straight line has a measure of 180 degrees.  That means that the interior angle + the exterior angle = 180.  So they are supplementary by definition of supplementary angles.  A is the only choice above that applies.
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Four more than a number is 27
son4ous [18]

Answer:

23 is the answer of the question

3 0
3 years ago
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Use the circle graph sh
mel-nik [20]

Answer: 500 people

Step-by-step explanation:

Let there are x people in the survey.

According to the question,

People who like football as their favorite sports = 42 % of x = 0.42 x

People who like baseball as their favorite sports = 33 % of x = 0.33 x

People who like soccer as their favorite sports = 25 % of x = 0.25 x

But, 210 people said football was their favorite sport.

⇒ 0.42 x = 210

⇒ 42 x = 21000

⇒ x = 500

Therefore, there are 500 people in the survey.


4 0
3 years ago
Read 2 more answers
What is the answer of the equation 2(x+2)-7+x=27
mylen [45]

Answer:

x = 10

Step-by-step explanation:

Solve for x:

2 (x + 2) - 7 + x = 27

2 (x + 2) = 2 x + 4:

2 x + 4 + x - 7 = 27

Grouping like terms, 2 x + x - 7 + 4 = (2 x + x) + (4 - 7):

(2 x + x) + (4 - 7) = 27

2 x + x = 3 x:

3 x + (4 - 7) = 27

4 - 7 = -3:

3 x + -3 = 27

Add 3 to both sides:

3 x + (3 - 3) = 3 + 27

3 - 3 = 0:

3 x = 27 + 3

27 + 3 = 30:

3 x = 30

Divide both sides of 3 x = 30 by 3:

(3 x)/3 = 30/3

3/3 = 1:

x = 30/3

The gcd of 30 and 3 is 3, so 30/3 = (3×10)/(3×1) = 3/3×10 = 10:

Answer:  x = 10

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!
Mamont248 [21]

Answer:

(x-4)^2+(y+7)^2=43

Step-by-step explanation:

The standard equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

We are given that the center is (4, -7) and that the radius is √(43).

So, <em>h</em> = 4, <em>k</em> = -7, and <em>r</em> = √(43). Substitute:

(x-(4))^2+(y-(-7))^2=(\sqrt{43})^2

Simplify. Hence, our equation is:

(x-4)^2+(y+7)^2=43

7 0
3 years ago
To track the fish population in a certain area a sample of 35 fish were tagged and released.Later another sample was caught and
olga nikolaevna [1]

Answer:

Step-by-step explanation:

The question says that the fish population of an area is being tracked and a certain of 35 were collected,tagged and released.

Later another sample was collected and it revealed that 13% of those fishes caught were the ones tagged previously.

The estimated number of fishes in that area will be:

Let X= number of fishes available in that area

13 percent of fishes caught at the second sample collection were tagged

Number of fishes collected are 35

13/100×X= 35

X= 3500/13

X= 269

The number of fishes in the pond is around 269

7 0
3 years ago
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