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3 years ago

Given: circle k(O), m∠A=(x+45)°, m KE =(x+20)°, m EW =(3x)° Find: m KW . HELP ASAP WILL GIVE BRAINLIEST!

Mathematics

1 answer:

egoroff_w [7]3 years ago

6 0

Answer:

160°

Step-by-step explanation:

We can use the central angle theorem for this. It says that an angle inscribed in a circle (on the circumference) measured half of the arc it intercepts (by 2 points on the circumference of the circle).

that would mean that Angle KAW is half of measure of Arc KW. Thus we can write:

m∠A = 0.5 (arc KE + arc EW)

x+45 =0.5 (x+20+3x)

x+45 = 0.5(4x+20)

x+45 = 2x + 10

45 - 10 = 2x - x

Thus, x = 35

Since Arc KW = Arc KE + Arc EW and x = 35, we can say:

Arc KW = x + 20 + 3x = 35 + 20 + 3(35) = 160°

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PLS HELP ASAP!! WILL MARK BRAINLYIST

son4ous [18]

Answer:

$39,851.25

Step-by-step explanation:

If the sales increase at a rate of 9% per year, this means it will be 109% of the previous year's value since 100% + 9% = 109%

109% in decimal form = 109/100 = 1.09

Therefore, the exponential function is:

$y = 20000 \cdot 1.09^x$ , where $x$ is the number of years

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$y = 20000 \cdot 1.09^8=39851.252...$

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2 years ago

15x^2 + 41x + 28 STEP BY STEP ANSWER PLSSS

maria [59]

Answer:

(3x+4)(5x+7)

Step-by-step explanation:

15x^2 +41x+28

Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.

a+b=41

ab=15×28=420

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.

1,420

2,210

3,140

4,105

5,84

6,70

7,60

10,42

12,35

14,30

15,28

20,21

Calculate the sum for each pair.

1+420=421

2+210=212

3+140=143

4+105=109

5+84=89

6+70=76

7+60=67

10+42=52

12+35=47

14+30=44

15+28=43

20+21=41

The solution is the pair that gives sum 41.

a=20

b=21

Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).

(15x^2 +20x)+(21x+28)

Factor out 5x in the first and 7 in the second group.

5x(3x+4)+7(3x+4)

Factor out common term 3x+4 by using distributive property.

(3x+4)(5x+7)

7 0

3 years ago

Read 2 more answers

A pedestrian walks 7.4 kilometers west

attashe74 [19]

Answer: 11.8 km

Step-by-step explanation:

The resulting figure is a right angled triangle shown below

$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$