MATHEMATICS HIGH SCHOOL

Find the measure of b.

Answers

Answer 1

Answer:

b = 80°

Step-by-step explanation:

The inscribed angle measuring 100°, is supplementary to the angle opposite it in the inscribed quadrilateral.

Thus, the angle is = 80°

Therefore, b + 80° = 180° (angle on a straight line = 180°).

Thus, b = 180° - 80° = 100°.

The measure of b is 80°.

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What fraction of 1 minute is 47 seconds

Answers

47/60 because there are 60 seconds in one minute

$1min=60s\ therefore\ 47s=(47)/(60)min$

Flying against the wind a jet travels 7740 miles in 9 hours. Flying with the wind the same jet travels 4000 80 miles in 3 hours. What is the rate of the jet in still air and what is the rate of the wind?

Answers

$j\ \rightarrow\ the\ rate\ of\ the\ jet\ in\ still\ air \nw\ \rightarrow\ the\ rate\ of\ the\ wind\n\nj-w= \frac{\big{7740\ miles}}{\big{9\ hours}}\ \ \ \Rightarrow\ \ \ j-w=860\ (miles)/( hour)\n\n j+w= \frac{\big{4080\ miles}}{\big{3\ hours}}\ \ \ \Rightarrow\ \ \ j+w=1360\ (miles)/( hour)\n----------\n\n2j=(860+1360)\ (miles)/( hour)\ \ \ \Rightarrow\ \ \ 2j=2220\ (miles)/( hour)\ \ \ \Rightarrow\ \ \ j=1110\ (miles)/( hour)$

$j+w=1360\ (miles)/( hour)\ \ \ \Rightarrow\ \ \ w=(1360}-1110)\ (miles)/( hour)=250\ (miles)/( hour)\n\n\nAns.\ the\ rate\ of\ the\ jet\ in\ still\ air\ is\ 1110\ (mi)/(hr) \ \ \ \n\n.\ \ \ \ \ \ and\ \ \ the\ rate\ of\ wind\ is\ 250\ (mi)/(hr)$

Suppose ∠A and ∠B are complementary angles, m∠A = (3x + 5)°, andm∠B = (2x – 15)°. Solve for x and then find m∠A and m∠B.

Answers

m∠A + m∠B = 90
(3x + 5) + (2x - 15) = 90
(3x + 2x) + (5 - 15) = 90
5x - 10 = 90
+ 10 + 10
5x = 100
5 5
x = 20

m∠A = 3x + 5
m∠A = 3(20) + 5
m∠A = 60 + 5
m∠A = 65

m∠B = 2x - 15
m∠B = 2(20) - 15
m∠B = 40 - 15
m∠B = 25

m∠A + m∠B = 90

$(3x + 5) + (2x - 15) = 90$

$(3x + 2x) + (5 - 15) = 90$

$5x - 10 = 90$

$5x - 10 +10 = 90+10$

$5x = 100$

$5x/5 = 100/5$ $Divide \ both \ sides \ by \ 5$

$x = 20$    $Solutions$

m∠A = $3x + 5$    $(x=20)$

m∠A = $3(20) + 5$ $Substitute \ x \ for \ 20$

m∠A = $60 + 5$    $Simplify$

m∠A = $65$

m∠B = $2x - 15$

m∠B = $2(20) - 15$

m∠B = $40 - 15$

m∠B = $25$

which of the expressions doe not contain any like terms? a. 2x2+3x-4x+2 b. xy+yz-17 c. x2+x2-2x-x2 d. 4+8+y

Answers

b. does not contain any like terms, because xy, yz, and -17, do not share any common variables.

Hope this helps!

The answer is B it does not have any of the other terms

Solve each system by elimination:
10x+8y= -18
8x+8y= -24

Answers

Answer:

Step-by-step explanation:

10x + 8y = -18

-8x - 8y = 24

2x = 6

x = 3

8(3) + 8y = -24

24 + 8y = -24

8y = -48

y = -6

(3, -6)

(3,-6) would be the answer to this question

14. Craig jogs 12 km in 1 h. If he jogs at thesame rate, how long will it take him to jog
18 km?

Answers

Answer: 1:30 (one hour and thirty minutes)

Step-by-step explanation:

If he jogs 12 km in an hour, and he wants to jog 18 km, you divide 12 km from when he jogged for and hour by 2 and get 6. Add 12 km to 6 km, and get 18 km in one hour and thirty minutes. So, basically 6 km every 30 minutes.

Answer:

1.5 hours

Step-by-step explanation:

12/1 = 18/x

X = 18/12 = 1.5 hours

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