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3 years ago

Complete the proof. Someone please help me answer this!

Mathematics

1 answer:

sammy [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Supplementary angles are two or more angles that add up to give the measure of angle on a straight line (i.e $180^{o}$ ).

It can be deduced from the given question that;

1. <1 and <2 are supplementary, also <1 and <3 are supplementary. Reason: as given in the question.

2. Given statements: m<1 + m<2 = $180^{o}$ , and m<1 + m<3 = $180^{o}$ . The reason is the definition of supplementary angles.

3. Statement: m<2 = m<3. The reason is a transitive property.

4. Statement: m<1 + m<2 = m<1 + m<3. The reason is subtraction property of equality.

5.Given statement: <2 ≅ <3. The reason is that definition of congruent angles.

Therefore, <2 ≅ <3.

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A farmer sold 53.2 pounds of carrots and 29.4 pounds of aspargus to a restaurant. How many pounds of these two vegetables did th

Setler79 [48]

Answer:

82.6

Step-by-step explanation:

First you add 53 and 29 which equals 82 then you do 4 plus 2 which equals 6 and so the answer is 82.6

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3 years ago

If there is 4 apple trees for every three pear trees but for every 2 avocado trees there is 5 pear trees she is planning to plan

olasank [31]

Answer:

Step-by-step explanation:

You need to think of it as an equation system.

First of all, let's call A the apple trees, P the pear trees and V the avocado's trees.

As for every 3 pear trees we have 4 apple trees, it can be written as:

4A = 3P

Then, we can clear the pears dividing both sides by 3:

4A/3 = 3P/3

(4/3)A = P

This is, we have one pear tree for every 4/3 apple trees.

Then we go to the other relation. For every 5 pears trees there are two avocados trees:

2V = 5P

As we want the ratio of avocados to apples we can replace the pear trees by it's expression depending on A:

2V = 5 ((4/3)A)

2V = (20/3) A

Multiplying both sides by 9 we make appear our 18 avocados trees:

2V *9 =( 20/3) A * 9

18 V = 60 A

So, for 18 avocados trees we have 60 apple trees.

8 0

4 years ago

Which is a scaled copy of Polygon A?Identify a pair of corresponding sides and a pair of corresponding angles. Compare the areas

jonny [76]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the polygon A (and other possible polygons to select from) are not given. So, I will answer on a general term.

Assume that Polygon A is a rectangle of dimension 2ft by 5ft.

$Length = 2ft$ $Width = 5ft$

Possible scaled copies can be gotten by multiplying the dimension of A by the same scale factor.

Take for instance, the scale factor k is:

$k = 3$

A scaled copy of polygon A (say polygon B) is: 6ft by 15ft

This is gotten by:

$Length = 2ft * 3 = 6ft$ $Width = 5ft * 3 = 15ft$

The area of A is:

$Area = 2ft * 5ft = 10ft^2$

The area of B is:

$Area = 6ft * 15ft = 90ft^2$

See attachment for polygons

Comparison

The area of B is greater than the area of B.

This method can be applied to scale factors

3 0

3 years ago

Which decimal is closest to 1/6

lorasvet [3.4K]

This definitely sounds like a question where there are
some choices listed but you decided not to share them.

Let's say you have several decimals that all look like this:

0.166
0.166666
0.1666
0.16666666666
0.16
.
.

The one with the most 6s is the closest to 1/6 .

Can you ever write a decimal that's exactly equal to 1/6 ?

No, you can't. The 6s go on forever, and never end.
The more 6s there are, the closer it is to 1/6, but it
can never be exactly 1/6 .

3 0

4 years ago

Read 2 more answers

The ratio of the heights 1.50 cm and 75 cm of two person can be written as

melamori03 [73]

Answer:

1 : 50

Step-by-step explanation:

1.50 : 75

Multiply by 2 so there are no decimals.

3 : 150

Divide by 3 to simplify.

1 : 50

3 0

3 years ago

Read 2 more answers