What is 10% of 10000

The supplement of an angle is 50 less than 3 times its complement, find the measure of the angle

Lelechka [254]

Answer:

$20^{\circ}$ .

Step-by-step explanation:

Two angles are supplements of one another if their sum is $180^{\circ}$ .

Two angles are complements of one another if their sum is $90^{\circ}$ .

Let $x^{\circ}$ be the measure of the angle in question.

The supplement of this angle would be $(180 - x)^{\circ}$ .

The complement of this angle would be $(90 - x)^{\circ}$ .

According to the question:

$(180 - x) + 50 = 3\, (90 - x)$ .

Solve this equation for $x$ :

$x = 20$ .

Thus, this angle would measure should $20^{\circ}$ .

The supplement of this angle would measure $(180 - 20)^{\circ} = 160^{\circ}$ . The complement of this angle would measure $(90 - 20)^{\circ} = 70^{\circ}$ .

Three times the complement of this angle would be $3 \times 70^{\circ} = 210^{\circ}$ , which is indeed $50^{\circ}$ greater than the supplement of this angle.

8 0

2 years ago

70 POINTS PLUS BRAINLIEST

dem82 [27]

Answer:

24.7 feet

Step-by-step explanation:

This is a Pythagorean theorem question

The ladder is the hypotenuse or c

the distance from the wall is a leg or a

and the wall is the other leg or b

a² + b² = c²

a² + 17² = 30²

a² + 289 = 900

-289 -289

b² = 611

√ √

b = √611

b = 24.7 feet

5 0

3 years ago

Read 2 more answers

Assume the time required to complete a product is normally distributed with a mean 3.2 hours and standard deviation .4 hours. Ho

Alex787 [66]

Answer: 3.712 hours or more

Step-by-step explanation:

Let X be the random variable that denotes the time required to complete a product.

X is normally distributed.

$X\sim N(\mu=3.2\text{ hours},\ \sigma=0.4\text{ hours} )$

Let x be the times it takes to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

Then, $P(\dfrac{X-\mu}{\sigma}>\dfrac{x-\mu}{\sigma})=0.10$

$P(z>\dfrac{x-3.2}{\sigma})=0.10\ \ \ [z=\dfrac{x-\mu}{\sigma}]$

As, $P(z>1.28)=0.10$ [By z-table]

Then,

$\dfrac{x-3.2}{0.4}=1.28\\\\\Rightarrow\ x=0.4\times1.28+3.2\\\\\Rightarrow\ x=3.712$

So, it will take 3.712 hours or more to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

3 0

3 years ago

Meredith is playing games at an arcade to earn tickets that she can exchange for a prize. She has 294 tickets from previous visi

grin007 [14]

First, plug in 448 for y:

448=7x+294

Secondly, subtract 294 from both sides to isolate x:

154=7x

Divide both sides by 7:

22=x

Refine:

x=22

The answer is D)22

8 0

3 years ago

Read 2 more answers

Which statements are true about the linear inequality y > Three-fourthsx – 2? Select three options.

Vilka [71]

Answer:

Step-by-step explanation:

i) the given linear inequality is $y > \frac{3}{4} x - 2$