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OLga [1]
3 years ago
11

What triangle congruent postulate or thereom would prove the two triangles are congruent?

Mathematics
1 answer:
Vinvika [58]3 years ago
5 0

Answer:

A. ASA

Step-by-step explanation:

There are two angles that equal, and a side in between them. So that is ASA congruence.

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Complete the following statements.
stiv31 [10]

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

  • Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

  • Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525  gallons of liquid.

2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

  • Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

  • Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

6 0
2 years ago
The rectangle below has an area of x^2-7x+10square meters and a width of x - 5 meters. What expression represents the length of
jolli1 [7]

Answer:

L = (x - 2) meters

Step-by-step explanation:

The area of the rectangle = (x² - 7x + 10) m²

The width = (x - 5) m

length = ?

Area of a rectangle = length × width

x² - 7x + 10 = L(x -5)

note L = length

divide both sides by (x-5)

(x² - 7x + 10)/(x - 5) = L

L = x² - 7x + 10 / (x -5)

Factorize x² - 7x + 10

find the numbers you can multiply to give you 10 and also add to give you -7

The numbers are -2 and -5. Therefore,

x² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) = 0

(x-5)(x-2) = 0

Let us go back to our division

L = x² - 7x + 10 / (x -5)

x² - 7x + 10 = (x-5)(x-2)

L = (x-5)(x-2) / (x -5)

L = (x - 2) meters

7 0
2 years ago
Determine the area of the parallelogram below
spayn [35]

Answer:

A= BH

A=8cm ×2.2 cm

A= 17.6cm²

8 0
2 years ago
In a survey asking 1200 students what they did on winter vacation, the following results were found: 45% visited family and 270
guapka [62]
Hello!

a. You have to find 45% of 1,200. To find percents, change the % to a decimal and multiply

45% = 0.45

0.45 × 1,200 = 540

\framebox {540 students visited their family}

_________________________________________________________

b. You have to find 15% of 56. To find percents, change the % to a decimal and multiply.

15% = 0.15

0.15 × 56 = 8.4

\framebox{\$8.40}
5 0
3 years ago
How do I solve for t: <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20%282t%20%2B%205%29%20-%20t%20%3D%20%20%5C
Valentin [98]
Your answer is 3/4.  remove parentheses, multiply both sides by 4, collect the like terms, move terms, collect the like terms again and calculate, then divide both sides by -12
3 0
3 years ago
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