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Studentka2010 [4]
3 years ago
11

In the process of proving that opposite sides of a parallelogram are congruent, Ross drew a diagonal of the parallelogram and de

termined that the two triangles formed are congruent. He then concluded that opposite sides must be congruent, because corresponding parts of congruent triangles are congruent.
Using his markings in the diagram, which postulate allowed him to determine that the two triangles formed are congruent?

A) AAS
B) ASA
C) SAS
D) SSS

Mathematics
1 answer:
ioda3 years ago
7 0

Answer:

(B) ASA

Step-by-step explanation:

we will verify each options

option-A:

we can see that there is no consecutive two angles

so, this postulates can not be true

so, this is FALSE

option-B:

We can see that

one angle and then side and another angle are equivalents

so, this is TRUE

option-C:

We can see that

one side and two angles are equivalents

so, this is FALSE

option-D:

we can see that

one side and two angles are equivalents

so, this is FALSE

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Minchanka [31]

To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

<h3>What is cost price per pound?</h3>

The cost price per pound is the amount of money required to buy one pound of a brand or goods.

To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.

At one farmer’s market, bananas cost $0.80 per pound.

At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.

The cost of one bag in this market is,

C=\dfrac{4.50}{5}\\C=0.5625

As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.

Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.

Learn more about the cost price per pound here;

brainly.com/question/20333618

4 0
2 years ago
Use the quadratic formula to solve x² + 9x + 10 = 0.<br><br> What are the solutions to the equation?
jok3333 [9.3K]

Answer:

-1.30\ and\ -7.70 (2 decimal places)

Step-by-step explanation:

Quadratic Formula: x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

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

x^2+9x+10=0

Plug in values:

x=\frac{-9\pm \sqrt{9^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

First value of x:

x=\frac{-9+\sqrt{41}}{2}=-1.30 (2 decimal places)

Second value of x:

x=\frac{-9-\sqrt{41}}{2}=-7.70 (2 decimal places)

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The answer is 7x/12 - 1/2. Its the first option in your picture. Hope this helps .

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5 burgers and 3 fries cost $23.
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