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UkoKoshka [18]
2 years ago
14

Proving Vertical Angles Are Congruent

Mathematics
2 answers:
Law Incorporation [45]2 years ago
6 0

Answer:

Statement

Measure of angle 2 and 3 are a linear pair and

Reason

Definition of linear pair

Step-by-step explanation:

Hook me up with a 5 star and a Thanks :)

Annette [7]2 years ago
5 0

Answer:

Vertical angles are always congruent

Step-by-step explanation:

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Kayla needs $14,000 worth of new equipment for his shop. He can borrow this money at a discount rate of 10% for a year.
arlik [135]

Answer:

$15400

Step-by-step explanation:

Principle amount, P = $14000

Time, T = 1 year

Rate of interest, R = 10%

We know that maturity amount,

A = P\left (1+\frac{R}{100} \right )^{n}

where n is number of years

A = P\left (1+\frac{R}{100} \right )^{n}

A = 14000\left (1+\frac{10}{100}\right )^{1}

A = 14000\left (1+\frac{1}{10}\right )

A = 14000\left (\frac{11}{10}\right )

A = 15400

The maturity amount is $15400

6 0
3 years ago
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin
babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

x + y = 500

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

42x + 30y = 16,200

So, we have the following system

1) x + y = 500

2) 42x + 30y = 16,200

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

1) x + y = 500

2) 42x + 30y = 16,200

I am going to write y as a function of x in 1), and replace in 2). So:

x + y = 500 means that y = 500-x

42x + 30y = 16,200

42x + 30(500-x) = 16,200

42x + 15000 - 30x = 16,200

12x = 1,200

x = \frac{1,200}{12}

x = 100

Now, going back to 1:

y = 500 - x = 500 - 100 = 400

He should plant 100 acres of corn and 400 acres of wheat.

5 0
3 years ago
An isosceles triangle has a perimeter of 16. Two legs have length L an the center has a length of six. What is the area of the t
Dmitriy789 [7]

Answer:

Restate the question

Step-by-step explanation:

8 0
3 years ago
Which expression does the graphic represent? 8 positive tiles. 1 tile is crossed out. 7 minus 1 7 minus (negative 1) 8 minus 1 8
Tanzania [10]

Answer:

7-(-1)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Help Me Please!!! I can't get this wrong
8_murik_8 [283]

Answer:

41ft is your answer

left side=√(12²+12²)=16.97=17ft

perimeter=sum of all side=12+12+17=41ft

6 0
3 years ago
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