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2 years ago

Find the value of x and m∠HKL.

Mathematics

1 answer:

frosja888 [35]2 years ago

5 0

Answer:

x = 25 degrees ∠HKL = 102 degrees

Step-by-step explanation:

The whole thing equals 180, since it is a straight angle

The value of HKL is 180 - 78 = 102

So that means 4x + 2 = 102

Subtract 2 from both sides:

4x = 100

Divide both sides by 4:

x = 25

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Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales. An equation y=mx+b represents Dave’s weekly

eduard

Answer:
Dave makes $350

Explanation:
In order to find this answer, we must first establish the equation for his earnings.
We use slope intercept form:
y = mx + b,
where m = slope and b = y-intercept.

Since the problem states that his commission percentage is the slope and his base salary is the y-intercept, we can use them in the equation to get the following: 
y = 0.1x + 200.

Now knowing that the x is the amount he sells, we can use the $1500 as x to find his total pay for the week:.
y = 0.1(1500) + 200,
y = 150 + 200,
y = 350.

6 0

2 years ago

Read 2 more answers

A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.

Alika [10]

Complete Question

A hypothetical population consists of eight individuals ages 13 14 17 20 21 22 24 30 years.

A: what is the probability that a person in this population is a teenager?

B: what is the probability of selecting a participant who is at least 20 years old?

We have that probability that a person in this population is a teenager and probability of selecting a participant who is at least 20 years old is

From the question we are told

A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.

P(T)=0.38
P(T')=0.63

Generally the equation for the probability that a person in this population is a teenager is mathematically given as

$P(T)=\frac{no of teens}{n}\\\\P(T)=\frac{3}{8}$

P(T)=0.38

Generally the equation for the probability of selecting a participant who is at least 20 years old is mathematically given as

$P(T)=\frac{ participants\ who\ is\ at\ least\ 20\ years old}{n}\\\\P(T)=\frac{5}{8}$

P(T')=0.63

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6 0

2 years ago

What is the slope of the line y = 5x? Just write the number for your answer.

vitfil [10]

Answer:

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 5x

Step 2: Break Function

Identify Parts

Slope m = 5

y-intercept b = 0

5 0

2 years ago

Help fast and thankssss god bless

Wewaii [24]

Answer:

336-6=330

330÷6=55

55 Students in each bus

242-11=231

231÷7=33

Each book was 33 dollars

5+30+100=135

The smallest number is 5

18-3=15

15÷8=1.8

Each candy bar was 1.8 dollars

14-9=5

Her allowance is 5 dollars

4+20+60=84

The smallest number is 4

12-7=5

5×2=10

She had 10 in the begining

4 0

2 years ago

Both circle A and circle B have a central angle measuring 50°. The area of circle A's sector is 36π cm2, and the area of circle

slega [8]

Answer:

A) 3/4

Step-by-step explanation:

Given: Both circle A and circle B have a central angle measuring 50°.

The area of circle A's sector is 36π cm2.

The area of circle B's sector is 64π cm2.

We know, area of the circle= $\pi r^{2}$

lets assume the radius of circle A be " $r_1$ " and radius of circle B be " $r_2$ "

As given, Area of circle A and B´s sector is 36π and 64π repectively.

Now, writing ratio of area of circle A and B, to find the ratio of radius.

⇒ $\frac{\pi r_1^{2} }{\pi r_2^{2} } = \frac{36\pi }{64\pi }$

Cancelling out the common factor

⇒ $\frac{r_1^{2} }{r_2^{2} } = \frac{36 }{64}$

⇒ $(\frac{r_1 }{r_2} )^{2} = \frac{36 }{64}$

Taking square on both side.

Remember; √a²= a

⇒ $(\frac{r_1 }{r_2} ) =\sqrt{ \frac{36 }{64}}$

⇒ $(\frac{r_1 }{r_2} ) = \frac{6}{8}$

⇒ $\frac{r_1 }{r_2} = \frac{3}{4}$

Hence, ratio of the radius of circle A to the radius of circle B is 3:4 or 3/4.

5 0

3 years ago