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Iteru [2.4K]
3 years ago
12

Find thea value of x in the following proportion2:5=14:X​

Mathematics
2 answers:
ivann1987 [24]3 years ago
6 0

Answer: x = 35

Hope this helped have an amazing day!

Alona [7]3 years ago
3 0
Answer: x = 35

Explanation:

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An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?
vampirchik [111]
<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

24.9^{\circ} and 65.1^{\circ}

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to 90^{\circ}.

Let a be the measure of the complementary angle.

If an angle is 40.2^{\circ} more than its complementary angle, the measure of that angle is a +40.2. The sum of both angles are expressed a +(a +40.2) but since the have to add to 90 as they are complementary, a +(a +40.2) = 90.

Solving for a:

a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9

Since the other angle measures a +40.2, we can plug in the value of a to find the measure of the angle.

Evaluating a +40.2:

a +40.2 \\ 24.9 +40.2 \\ 65.1

The measure of the angles are 24.9^{\circ} and 65.1^{\circ}

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2 years ago
15. An irregular pentagon has side lengths of (x + 3), (2x - 4), (4x + 5),
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Which way shows one way you can decompose 15 to find 42 x 15?
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Answer:

42 * 10 + 42 * 5

which agrees with the third option (C) shown on the list of possible answers

Step-by-step explanation:

Notice that using distributive property we can write:

42 * 15 = 42 (10 + 5) = 42 * 10 + 42 * 5

which agrees with the third option (C) shown on the list of possible answers.

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s = 14c

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