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Alinara [238K]
3 years ago
8

How to prove triangles are congruent

Mathematics
2 answers:
Slav-nsk [51]3 years ago
8 0

Answer:

Step-by-step explanation:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

vagabundo [1.1K]3 years ago
7 0

Answer:

by four method

Step-by-step explanation:

1st by AAA

2nd by AA

3rd by SSS

4th by SAS

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Question 78 find the value of x
gladu [14]

For this case we have that by definition, the volume of a parallelepiped is given by:

V = l * w * h

Where:

l: It's the long

w: It is the width

h: It's the height

From the figure we have the following data:

V = 975 \ ft ^ 3\\h = 9 \ ft\\w = 4ft\\x =?

We must find the value of the length of the parallelepiped:

975 = x * 4 * 9\\975 = 36x\\x = \frac {975} {36}\\x = 27.083

Answer:

x = 27.1 \ ft

5 0
3 years ago
Wasted Water A faucet leaks 1 oz of water per minute. a) How many gallons of water are wasted in a year? (A gallon contains 128
dimaraw [331]

Answer:

a) 4106.25 gallons

b) $46          

Step-by-step explanation:

We are given the following in the question:

Leakage rate of faucet = 1 oz per minute

Cost of water = $11.20 per 1000 gallons

1 gallon = 128 oz

a) water are wasted in a year

1 hour = 60 minutes

1 day = 24 hours

1 year = 365 days

1\text{ year} = 365\times 24\times 60\text{ minutes}\\1\text{ year} = 525600\text{ minutes}

Amount of water wasted =

\text{Leakage rate}\times \text{Time}\\=1 \times 525600\\=525600\text{ oz}\\\\=\dfrac{525600}{128}\\\\=4106.25\text{ gallons}

Thus, 4106.25 gallons of water is wasted every year.

b) additional money spent

=\time{Cost}\times \text{Amount of water wasted}\\\\= \dfrac{11.20}{1000}\times 4106.25\\\\=45.99\$ \approx 46\$

Thus, approximately $46 is the additional money spent on water bill.

4 0
3 years ago
A 24-ounce mocha beverage with whipped cream has 25% of the calories allowed on a 2,000-calorie-per-day diet. What percentage of
likoan [24]
We can find the amount of calories it has by taking 25% of 2000:
0.25 x 2000
= 500

Percentage of 2500 calorie diet:
500/2500 x 100
= 20%

The drink constitutes 20% of a 2500 calorie per day diet..
3 0
3 years ago
Read 2 more answers
I need help please 36 points
geniusboy [140]

Using the power of zero property, we find that:

a) The simplification of the given expression is 1.

b) Since , equivalent expressions are:  and .

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

The power of zero property states that any number that is not zero elevated to zero is 1, that is:

Thus, at item a, , thus the simplification is .

At item b, equivalent expressions are found elevating non-zero numbers to 0, thus  and .

5 0
3 years ago
Which of the following are like terms?
SVETLANKA909090 [29]

Answer: D) 13y^25 and 2y^25

Like terms involve the same variables, and each of those variables must have the same exponents.

Another example of a pair of like terms would be 5x^3y^2 and 7x^3y^2. Both involve the variable portion "x^3y^2" which we can replace with another variable, say the variable z. That means 5x^3y^2 becomes 5z and 7x^3y^2 becomes 7z. After getting to 5z and 7z, it becomes more clear we have like terms.

5 0
3 years ago
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