Use the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor.12 + 20

Answers

Answer 1

Answer: 32 is your answer thank u very much

Answer 2

Answer: it’s 32!!! :))) haha yeah

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A polygon has the same number of angles as it had sides true or false

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True.....a polygon will always have the same number of angles and sides. ex: a triangle has 3 sides and 3 angles, a Pentagon has 5 sides and 5 angles, a square has 4 sides and 4 angles...etc.

True. A polygon can have 3 sides and 3 angles.

Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 3 and a horizontal side of 7. The other triangle has a vertical side of 9 and a horizontal side of 21. Could the hypotenuses of these two triangles lie along the same line? (4 points) Yes, because they are both right triangles Yes, because they are similar triangles No, because they are not similar triangles No, because one is larger than the other Description

Answers

Answer: Yes, because they are similar triangles

Step-by-step explanation:

Let ABC be the right triangle with vertical side of 3 and a horizontal side of 7.

And, right angle at B,

Then, AB = 3, BC = 7 ⇒ AC = √58

Again let, DEF be the right triangle with vertical side of 9 and a horizontal side of 21.

And, right angle at E,

Then, DE = 9, EF = 21 ⇒ DF = 3√58

Thus, in triangles ABC and DEF,

Therefore,

By the property of similar triangles,

Since, in both triangles horizontal sides BC and EF are on X-axis,

Therefore,

The second one is correct

Answer:

Yes

explanation: they are similar triangles

PLEASE MARK BRANLIST

tickets to the fair cost $8 for children and $15 for adults on Thursday 177 people enter the fair and they collected $2053. what number of the children and what number of adults attended?

Answers

So,

Let

number of children tickets bought = c
number of adult tickets bought = a

We can now say that
c + a = 177
8c + 15a = 2053
because if you multiply c by the cost per child and a by the cost per adult, you will get the total revenue generated by all the tickets.

We now have a system of equations which can be solved by elimination (substitution).

Subtract a from both sides of the first equation.
c = 177 - a

Substitute 177 - a for c in the second equation.
8(177 - a) + 15a = 2053

Distribute.
1416 - 8a + 15a = 2053

Collect Like Terms.
1416 + 7a = 2053

Subtract 1416 from both sides.
7a = 637

Divide both sides by 7.
a = 91

Substitute 91 for a in the first modified equation.
c = 177 - 91
c = 86

Check.

The total number of people was 86 + 91 = 177 people.

The total revenue generated was 8(86) + 15(91) = 688 + 1365 = $2053.

There were 86 children and 91 adults.

2 1/2. Is. A.5/2. B. 3/2.c. 5/4 d. 3/4