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3 years ago

Find the value of x in each case. Give reasons to justify your solutions!

Mathematics

2 answers:

ANEK [815]3 years ago

6 0

Answer:

x = 11°

Step-by-step explanation:

The parallel lines suggest we look to the relationships involving angles and transversals. The angle marked 33° and ∠CAB are alternate interior angles, hence congruent:

∠CAB = 33°

5x is the measure of the external angle opposite that internal angle and angle 2x of ΔABC, so it is equal to their sum:

5x = 2x + 33°

3x = 33° . . . . . . . . . subtract 2x

x = 11° . . . . . . . . . . . divide by 3

Viefleur [7K]3 years ago

5 0

Answer:

11 degrees

Step-by-step explanation:

it just is i tried it rsm

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Bad White [126]

first polygon

ext. angle=180°-120°

=60°

$ext \: ang = \frac{360}{n}$

n=360°/60°

n=6

second polygon

n=2(6)=12

ext. ang= 360°/n = 360°/12° = 30°

int. ang = 180°-30°= 150°

answer is C

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3 years ago

Value of x for 12(x-2)+3x=1/2(x+6)+2

Damm [24]

Answer:

The value of x = 2

Step-by-step explanation:

Given the equation

$12\left(x-2\right)+3x=\frac{1}{2}\left(x+6\right)+2$

Expand 12(x-2) = 12x - 24

Expand 1/2(x+6) = 1/2x + 3

so the equation becomes

$12x-24+3x=\frac{1}{2}x+3+2$

simplifying

$15x-24=\frac{1}{2}x+5$

$15x=\frac{1}{2}x+29$

multiplying both sides by 2

$30x = x + 58$

subtracting x from both sides

$30x - x = 58 - x$

$29x = 58$

divide both sides by 29

$\frac{29x}{29}=\frac{58}{29}$

simplifying

$x = 2$

Therefore, the value of x = 2

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A toy soldier set a selection of 6 weapons for 3 soldiers.

Rudik [331]

Answer:

Step-by-step explanation:

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3 years ago

Janet’s savings account has $12.10 more than the $242 it had at the beginning of the year. What percent more was in the savings

Ilia_Sergeevich [38]

5% is the answer!! :)

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3 years ago

Based on a survey, assume that 38% of consumers are comfortable having drones deliver their purchases. Suppose that we

Maslowich

Answer:

$n = 4$

$x = 2$

$p = 38\%$

$q = 62\%$

Step-by-step explanation:

Required

Find n, x, p and q

n always represent the population surveyed;

So:

$n = 4$

x represents the sample from the population

So:

$x = 2$

p always represents the given proportion

$p = 38\%$

Solving for q

$p + q = 1$

$q = 1 - p$

$q = 1 - 38\%$

$q = 62\%$

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3 years ago