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vova2212 [387]
3 years ago
12

An angle's complement is 35°. Find the measure of its supplement. A) 55° B) 65° C) 125° D) 155° E) 180°

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Answer:

C) 125°

Step-by-step explanation:

Supplementary angles add to 180 degrees.  Complementary angles add to 90

An angle's complement is 35°.

35+x =90

Subtract 35 from each side

35 -35+x = 90-35

x = 55

We want to find the supplement of this angle

55+y = 180

Subtract 55 from each side

55-55+y = 180-55

y= 125

The angle is 55 so its supplement is 125

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Fabio drinks 2 quarts of water each day. How many cups of water does Fabio drink each day? (1 quarts = 4 cups
Westkost [7]

If Fabio drinks 2 quarts of water each day, he would drink 8 cups of water in accordance with direct proportion.

<h3>What is a proportion?</h3>

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented by the following equation:

y = kx

Where:

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By applying direct proportion, we have:

1 quarts = 4 cups

2 quarts = X cups

Cross-multiplying, we have:

X = 4 × 2

X = 8 cups.

In conclusion, the quantity of water which Fabio drinks each day is equal to 8 cups.

Read more on direct proportion here: brainly.com/question/1266676

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1 year ago
Please help with 11,12,13
faltersainse [42]

Problem 11

<h3>Answer:  h = 2A/b</h3>

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

Explanation:

We need to get h by itself. To do so, we first multiply both sides by 2. Then we divide both sides by b

A = (1/2)*b*h

2A = b*h

b*h = 2A

h = 2A/b

================================================

Problem 12

<h3>Answers:</h3>
  • Equation:   (n+2)/5 = 14
  • Solution to that equation:  n = 68

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

Explanation:

The number n is increased by 2 to get n+2

Then we divide by 5 to get (n+2)/5

This is set equal to 14 to get the equation (n+2)/5 = 14

Solving the equation would look like this

(n+2)/5 = 14

n+2 = 5*14 .... multiply both sides by 5

n+2 = 70

n = 70-2 .... subtract 2 from both sides

n = 68

================================================

Problem 13

<h3>Answer: Not a solution</h3>

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

Explanation:

We'll replace every copy of x with -3 and simplify

-2x + 5 > 13

-2*(-3) + 5 > 13

6 + 5 > 13

11 > 13

The last inequality is false because 11 is not greater than 13. Since the last inequality is false, this makes the first inequality false when x = -3.

Therefore, x = -3 is not a solution.

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stiks02 [169]
It would be 4.9%, hope this helps :)
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Step-by-step explanation:

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Nataly_w [17]

Answer:

Tangent line states that a line in the plane of a circle that intersect the circle in exactly one point.

Common external tangent states that a common tangent that does not intersects the line segment joining the centers of circle.

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Therefore:

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