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AlekseyPX
3 years ago
5

an angle's measure is twice the measure of its complement. the larger angle is how many degrees greater than the smaller angle.

Mathematics
1 answer:
balu736 [363]3 years ago
5 0
Two angles are complementary when they <span>add up to 90 degrees

</span><span>smaller angle = x
</span><span>larger angle = 2x

x + 2x = 90
3x = 90
x = 90/3
x = 30</span>°  ←  smaller angle 
larger angle = 2x = 2 * 30 = 60°

larger angle - smaller angle = 60° - 30° = 30°

<span>The larger angle is 30 degrees greater than the smaller angle.</span>
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How to subtract negative number from 1
djyliett [7]

when you subtract a negative number from any platitude number the equation changes to addition so you would add the value of the negative number to 1.

3 0
2 years ago
Read 2 more answers
2. One angle is one less than six times the measure of
Illusion [34]

The equations used to find the measure of each angle in degrees is x + y = 90 and x = 6y - 1

The two complementary angles are 77 degrees and 13 degrees

<em><u>Solution:</u></em>

Given that two angles are complementary angles

Complementary angles are two angles whose sum is 90 degrees

Let one of the angle be "x" and the other angle be "y"

Therefore,

x + y = 90 ------ eqn 1

Also given that,

One angle is one less than six times the measure of  another

one angle = six times the other angle - 1

x = 6y - 1 ------ eqn 2

Substitute eqn 2 in eqn 1

6y - 1 + y = 90

Thus the above equation is used to find the measure of each angle in degrees

Solve the above equation

6y + y - 1 = 90

7y - 1 = 90

7y = 91

y = 13

Substitute y = 13 in eqn 2

x = 6(13) - 1

x = 78 - 1

x = 77

Thus the two complementary angles are 77 degrees and 13 degrees

8 0
3 years ago
There is a boardwalk game at Point Pleasant where you are blindfolded to throw darts at a board full of balloons. Each time a da
arlik [135]

The given number of balloons, green = 10, purple = 4, red = 5, tie-dye = 2, black = 3, gives;

a. 5/138

b. 25/276

c. 5/1012

d. 35/46

<h3>How can the different probabilities be calculated mathematically?</h3>

Given parameters;

Number of balls;

Green = 10

Purple = 4

Red = 5

Tie-dye = 2

Black = 3

Mode of selection = Without replacement

Number of balloons = 10+4+5+2+3 = 24

a. Probability of popping a red balloon = 5/24

Probability of popping a second red balloon = 4/23

Therefore;

Probability of popping two reds consecutively = 5/24 × 4/23 = 5/138

b. Probability of popping a red balloon = 5/24

Probability of popping a green balloon next = 10/23

Therefore;

Probability of popping a red and then a green balloon = 5/24 × 10/23 = 25/276

c. Probability that the first balloon that pops is a red = 5/24

Next balloon is a black = 3/23

Third balloon is red = 4/22

The probability, <em>P</em>, is therefore;

  • P = 5/24 × 3/23 × 4/22 = 5/1012

d. The probability that the first balloon is a tie-dye = 2/24 = 1/12

Therefore;

Probability that the first balloon is not a tie-dye = 1 - 1/12 = 11/12

Probability that the second balloon is not a tie-dye = 21/23

Similarly;

Probability that the third balloon is not a tie-dye = 20/22 = 10/11

Which gives;

The probability, <em>P</em>, of popping anything but a tie-dye on three consecutive throws is therefore;

  • P = 11/12 × 21/23 × 10/11 = 35/46

Learn more about probability theory in mathematics?

brainly.com/question/13604758

#SPJ1

7 0
1 year ago
What's -5.25 as a whole number
koban [17]
That is technically impossible but I can put this into a mixed fraction which is -5 1/4
4 0
3 years ago
70% of 120 = 120x70/100 <br> How do you figure this out
Sati [7]
10% of 120 = 12
12 x 7 = 84
70% = 84

120 x 70 = 8400
8400 / 100 = 84

It’s either showing you that both sides of the equation equal to the same thing or that you can find 70% of 120 by using the steps on the right
3 0
3 years ago
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