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aivan3 [116]
3 years ago
11

The expressions given represent the measures of the acute angles of a right triangle Find the measure of each acute angle.

Mathematics
1 answer:
olasank [31]3 years ago
4 0

Answer:

30, 60

Step-by-step explanation:

The sum of a triangles angles should be 180.

Subtract 90 because it's a right triangle.

180 - 90 = 90

Now we know the sum of the other angles should be 90.

x + 2x = 90

Solve for x.

3x = 90

x = 30

Now you substitute 30 for x.

(30), 2(30)

30, 60

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Solve the system of equations and choose the correct ordered pair. 3x-2y=12 and 6x+3y=21
NemiM [27]

Answer:

Solution ( \frac{26}{7} ,  \frac{-3}{7})

Step-by-step explanation:

Given  :  3x - 2y = 12 and 6x + 3y = 21.

To find : Solve the system of equations and choose the correct ordered pair.

Solution : We have given

3x - 2y = 12 -------(1)

6x + 3y = 21-------(2)

Multiplying the equation(1) by 2 , it become.

6x - 4y = 24 .

Now subtract it from equation (2).

6x + 3y = 21

(-)6x - (+)4y = (-)24 .

____________

0 + 7y = -3.

On dividing both sides by 7.

y = \frac{-3}{7}.

Plug the y = \frac{-3}{7} in equation 2 .

 6x  + 3*\frac{-3}{7} = 21

6x + \frac{-9}{7}  = 21.

On multiplying both sides by 7

42x  -9 = 21 *7 .

42x  -9 = 147 .

On adding both sides by 9

42x = 147 + 9 .

42x = 156.

On dividing both sides by 42.

x = \frac{156}{42}.

x = \frac{26}{7}.

Therefore, Solution ( \frac{26}{7} ,  \frac{-3}{7})

6 0
4 years ago
a car travels 60km in 36minutes.At the same average speed, how far will it travel in 1 hour 12 minutes​
Minchanka [31]

Answer:

120km

Step-by-step explanation:

1hr 12 min is double 36 minutes

so just double 60

5 0
3 years ago
Sam is using an industrial kitchen to bake several batches of his famous chocolate chip granola bars. He needs to weigh out of 7
amid [387]

We have been given that Sam uses an industrial kitchen to bake several batches of his famous chocolate chip bars.

Further, we are given that Sam needs to weight out 78 ounces, plus or minus 2.5 ounces.

Therefore, the equation that can be used to find maximum or minimum amount, c, of chocolate chips that he can weight out is:

|c-78|=2.5

7 0
3 years ago
True or false: Scientific evidence is a clue that helps answer a question or explain something. I will mark brainiest
ololo11 [35]

Answer:

true

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How do I answer number 1
AleksAgata [21]

Answer:

#1 Haley is correct and Lacey is incorrect

#2 Kenji is incorrect.

Step-by-step explanation:

#1. x^3 (x^2) = x^5 but this same law doesn't apply to addition of numbers with exponents.

#2 The law of exponents doesn't apply to numbers with different bases that are not multiples of each other such as 3 and 4, so Kenji's simplification is not correct.

7 0
3 years ago
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