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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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Use the law of sines to find what Angle R is:
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Answer:

Step-by-step explanation:

So, according to the law of Sines, we have

\frac{Sin(A)}{a} = \frac{Sin(b)}{b}

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\frac{Sin(S)}{s} = \frac{Sin(R)}{r}

And we want to isolate R...

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5 0
3 years ago
13 copies of the small rectangle shown below have been used to make the larger rectangle.
Nikolay [14]

Answer:

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Step-by-step explanation:

length = 20mm X 3 = 60mm

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I hope it helps you!

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2 years ago
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Step-by-step explanation:

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2 years ago
Help please ASAP 11-16 with step by step explanation please help
navik [9.2K]

Answer:

11.  135 mph

12. 40 Oz

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i don't know 16

Step-by-step explanation:

11.  27 x 5= 135 mph

12. 24 : 6 x 10= 40 Oz

13.  1.5 : 3 x 100= 50 m

14. 40% = 1000

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15.  75% -> 25% = : 3

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8 0
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