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4 years ago

Ray BD bisects ∠ABC so that m∠DBC = (x + 7) and m∠ABD = (2x − 11). What is x? A. 6 B. 18 C. 29 D. 54

Mathematics

1 answer:

nata0808 [166]4 years ago

6 0

Answer:

Step-by-step explanation:

Here, we want to the find the value of the x.

By bisecting the angle, the ray in question divides it into two other angles which are equal.

We proceed as follows;

x + 7 = 2x -11

Collect like

terms

2x -x = 7 + 11

x = 18

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Step-by-step explanation:

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a. 0.017

b. 0.013

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4 years ago

If longest out of a triangle is 3 inches longer than the shorter side. The medium size is 2 inches longer than the shorter side.

Marina CMI [18]

Answer:

Shortest side = 7 inches.

Medium side = 9 inches.

Longest side = 10 inches.

Step-by-step explanation:

Let the shortest side be x.

Translating the word problem into an algebraic equation, we have;

Shortest side = x

Medium side = x + 2

Longest side = x + 3

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

$P = A + B + C$

Substituting into the equation, we have;

26 = x + x + 2 + x + 3

26 = 3x + 5

3x = 26 - 5

3x = 21

x = 21/3

x = 7 inches.

Therefore, the length of the three sides are;

Shortest side = x = 7 inches.

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3 years ago

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