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anygoal [31]
3 years ago
6

Question:

Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0

Answer:

x=56 and the exterior angle is 116

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +4) form a straight line so they make 180 degrees.

y + 2x+4 =180

Solve for y by subtracting 2x+4 from each side.

y + 2x+4 - (2x+4) =180 - (2x+4)

y = 180-2x-4

y = 176-2x


The three angles of a triangle add to 180 degrees

x+ y+ 60 = 180

x+ (176-2x)+60 = 180

Combine like terms

-x +236=180

Subtract 236 from each side

-x+236-236 = 180-236

-x = -56

Multiply each side by -1

-1*-x = -56*-1

x=56

The exterior angle is 2x+4.  Substitute x=56 into the equation.

2(56)+4

112+4

116


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0.2692307692

Step-by-step explanation:

14/52 = 0.2692307692

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3 years ago
A jar can hold of a pound of flour. Austin empties of a pound of flour into the jar. What fraction of the jar is filled? Enter y
11111nata11111 [884]

Answer:

<em>2/3 of the jar was filled with flour</em>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

<em>A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.</em>

<em />

Given

<em>Amount a jar can hold a = 3/4 of a pound of flour</em>

<em />

<em>If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds</em>

<em />

<em>Fraction of jar filled will be expressed as b/a as shown;</em>

<em>b/a = (1/2)/(3/4)</em>

<em>b/a = 1/2 ÷ 3/4</em>

<em>b/a = 1/2 * 4/3</em>

<em>b/a = 4/6</em>

<em>Simplify to the lowest term</em>

<em>a/b = 2*2/2*3</em>

<em>a/b = 2/3</em>

<em />

<em>Hence 2/3 of the jar was filled with flour</em>

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• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

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