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DiKsa [7]
3 years ago
11

The sum of two numbers is 90. The difference of the two numbers is 34. What are the two numbers.

Mathematics
1 answer:
kvasek [131]3 years ago
6 0

Answer:

part a: 45

part b: 102 and 68

Step-by-step explanation:

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Given a regular decagon, find the measures of the angles formed by (
Sonja [21]
A decagon has 10 sides (think decade and decathlon). From the center of the decagon we draw the radii and in doing so we take the area of the decagon and divide it into 10 congruent Triangles.

The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.

Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.

Thus the answer to the second part, trhe measure of the angle between a radius and the side of the polygon is 72 degrees.




3 0
3 years ago
When filling your gas tank, if you pay c dollars for g gallons of gas, you have the following table.
Ksenya-84 [330]

Option D statement "A 12-gallon tank would cost $47.40 to fill completely" is true.

<h3>What is a domain?</h3>

The whole of the independent variable's possible values makes up the domain of a function.

For the given data we need to find which of the given statements are true.

From option A:

The domain is {4, 8, 11, 15}.

The domain is all possible x values so this would be 0 to infinity as you can pay for more gallons not just to that certain set of numbers.

Therefore, option A is False.

From option B:

An 11-gallon tank would cost $44.00 to fill completely.

From the given table we can see that 11-gallon tank costs $43.45.

Therefore, option B is False.

From option C:

A 9.1-gallon fill-up would cost $35.49.

To find 9.1 gallons we need to find the cost of 1-gallon.

That is, 15.80/4 = $3.95 (Given in the table)

Now the cost of 9.1 gallon tank is $3.95 x 9.1 = $35.95 not $35.49

Therefore, option C is False.

From option D:

A 12-gallon tank would cost $47.40 to fill completely.

We found that 1 gallon is $3.95.

$3.95 x 12 = $47.40

Therefore, option D is True.

Hence, from the given statements option D is True.

To learn more about data visit:

brainly.com/question/12576014.

#SPJ1

6 0
2 years ago
Mara writes the expression x + 2(x – 4) – 4x. Which of these expressions are equivalent? Choose the
loris [4]

Answer:

it is number 1. because the answer above is equivalent to number 1

5 0
3 years ago
What is 252 = 11n + 10
xz_007 [3.2K]

Answer:

n=22 or 252=11(22)+10

Step-by-step explanation: 252=11n+10. Start by attempting to isolate the varyable by subracting 10 from both sides--> 242=11n, divide by 11--> 22=n

PROOF 252=11*22+10=242+10=252


3 0
3 years ago
Read 2 more answers
On the way to the mall Miguel rides his skateboard to get to the bus stop. He then waits a few minutes for the bus to come, then
professor190 [17]
The answer would be c .
4 0
3 years ago
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