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jarptica [38.1K]
3 years ago
13

The measure of an angle is two times the measure of it complementary angle. What is the measure of each angle

Mathematics
1 answer:
Len [333]3 years ago
6 0
One of them is 30 degrees and the other is 60 degrees
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1. Which point on the axis satisfies the inequality y
grigory [225]

Answer:

1) Point (1,0) -----> see the attached figure N 1

2) The value of x is 4

3) I quadrant

4) (1,1)

5)  y>-5x+3

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point (1,0) is included in the shaded area

Part 2)

we have

x-2y\geq 4

see the attached figure N 2

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line x-2y= 4

For y=0

Find the value of x

x-2(0)= 4  

x=4

The solution is x=4

Part 3)

we have

x\geq 0 -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

y\geq 0 -----> inequality B

The solution of the inequality B is in the first and second quadrant

so

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

y\geq 4x-5

we know that

If a ordered pair is a solution  of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

<u>case A)</u> point (3,4)

Substitute the value of x and y in the inequality

x=3,y=4

4\geq 4(3)-5

4\geq 7 ------> is not true

therefore

the point (3,4) is not a solution of the inequality

<u>case B)</u> point (2,1)

Substitute the value of x and y in the inequality

x=2,y=1

1\geq 4(2)-5

1\geq 3 ------> is not true

therefore

the point  (2,1) is not a solution of the inequality

<u>case C)</u> point (3,0)

Substitute the value of x and y in the inequality

x=3,y=0

0\geq 4(3)-5

0\geq 7 ------> is not true

therefore

the point  (3,0) is not a solution of the inequality

<u>case D)</u> point (1,1)

Substitute the value of x and y in the inequality

x=1,y=1

1\geq 4(1)-5

1\geq -1 ------> is true

therefore

the point  (1,1) is  a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point (3,0)

The x-intercept is a positive number

The solution is the shaded area above the dashed line

so

the equation of the line is y=-5x+3

The inequality is  y>-5x+3

3 0
3 years ago
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A. Determine the value of an account in which a person invested $6000 for 12 years at an annual rate of 9% compounded annually (
Sliva [168]

Answer:

16875.98

Step-by-step explanation:

6000(1+(0.09/1)^1*12 = 16875.98

8 0
2 years ago
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Solve this to get 25 points. Correct answer gets brainliest!
Fantom [35]

Answer:

T = 59

U = 27

V = 94

Step-by-step explanation:

(5x +4) + (8x + 6) + (2x+5) = 180

15x + 15 = 180

15x = 165

x = 11

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Consider in the figure below.
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Greatest 3 digit multiple of 33 using 3 diffrent digits
mel-nik [20]

Answer:

957

The answer is this because the next 3 digit multiple of 33 would be 990.

4 0
3 years ago
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