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Vlada [557]
3 years ago
10

Determine m∠U if m∠R = 9x - 10 and m∠U = 3x + 4.

Mathematics
1 answer:
german3 years ago
4 0

Answer:

50.5 degrees

Step-by-step explanation:

Since this is a parallelogram then...

Angle U + Angle R = 180

3x+4+9x-10=180

Combine like terms

12x-6=180

Add 6 to both sides

12x=186

Divide both sides by 12

x=15.5

Now we plug 15.5 in for x to find Angle U

3(15.5)4=46.5+4=50.5

Angle U = 50.5 degrees

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Keith_Richards [23]

Answer:

y = -1

Step-by-step explanation:

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Step  2  :

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Step  3  :

Step  4  :

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Equation at the end of step  4  :

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Step  5  :

Equations which are never true :

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Solving a Single Variable Equation :

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7 0
3 years ago
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Find the value of each variable. If you give the decimal value, round to the nearest tenth.
DiKsa [7]

u = 10.4 and v = 12

Solution:

In the given 2 sides of a triangle are 60°, 60°.

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60° + 60° + third angle = 180°

⇒ third angle = 180° – 60° – 60°

⇒ third angle = 60°

All angles are equal, therefore the given triangle is an equilateral triangle.

⇒ All sides are equal in length.

⇒ v = 12

The line drawn from the top angle divides the triangle into two equal parts

and the line is perpendicular.

12 ÷ 2 = 6

Using Pythagoras theorem,

\text{Base}^2+\text{Opposite}^2=\text{Hypotenuse}^2

⇒ 6^2+\text{opposite}^2=12^2

⇒ 36+\text{opposite}^2=144

⇒ \text{opposite}^2=108

⇒ \text{opposite}=6\sqrt3=10.4

⇒ u = 10.4

Hence, u = 10.4 and v = 12.

7 0
3 years ago
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Monica [59]
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7 0
3 years ago
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julia-pushkina [17]

Answer: x ≥ -5

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8 0
3 years ago
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