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Gnom [1K]
3 years ago
7

Two angles are complementary three times the measure of one of the angles is 10° more than the measure of the other angle. find

the difference between the measure of the larger angle in the smaller angle
Mathematics
2 answers:
Mumz [18]3 years ago
8 0

Answer:

The difference is 40,

Step-by-step explanation:

Complementary angles , x+y =90

so we know angle 1, we call it  3x and angle 2 we call it y= 3x+10

so 3x +10= 90-x

4x=100

x=25

angle 1= 3(25) - 10

y= 65

65-25= 40

NikAS [45]3 years ago
5 0

Answer:

  40°

Step-by-step explanation:

Let x represent one of the angles, and y represent the other one. Then we have ...

  x + y = 90

  3x = y +10

Substituting for y in the first equation, we have ...

  x + (3x -10) = 90

  4x = 100

  x = 25

  y = 3(25) -10 = 65

The difference between the angles is ...

  y -x = 65 -25 = 40 . . . . degrees

The difference between the angle measures is 40 degrees.

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Crank

So for this, I will be using the substitution method. Firstly, subtract both sides in the second equation by 2x: 4x+3y=20\\ y=7-2x

Next, substitute y in the first equation with 7-2x, then solve for x from there:

4x+3(7-2x)=20\\ 4x+21-6x=20\\ -2x+21=20\\ -2x=-1\\ x=\frac{1}{2}

Now that we got x, substitute it into either equation to solve for y:

4*\frac{1}{2}+3y=20\\ 2+3y=20\\ 3y=18\\ y=6\\ \\ 2*\frac{1}{2}+y=7\\ 1+y=7\\ y=6

In short, x = 1/2 and y = 6.

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3 years ago
Blues varied directly as greens and inversely as whites squared. If there were 3 greens when there were 4 blues and 2 whites, ho
a_sh-v [17]

Step-by-step explanation:

there will be 3 greens

that is the answer

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2 years ago
What is the possibility that a red or green marble will be selected from a bag containing 9 red marbles, 6 blue marbles , 7 gree
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Answer:

16/33

Step-by-step explanation:

We have a bag of :

9 red marbles

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In the question we are not told if it is with replacement or without. We do both

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Therefore, the possibility that a red or green marble will be selected from a bag is 16/33

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How many numbers of possible live card hands (hands in five-card poker) drawn without replacement from a standard deck of 52 pla
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The combination shows that the numbers of possible live card hands drawn without replacement from a standard deck of 52 playing cards is 2,598,960.

<h3>How to explain the information?</h3>

A permutation is the act of arranging the objects or numbers in order while combinations are the way of selecting the objects from a group of objects or collection such that the order of the objects does not matter.

Since the order does not matter, it means that each hand is a combination of five cards from a total of 52.

We use the formula for combinations and see that there are a total number of C( 52, 5 ) = 2,598,960 possible hands.

Learn more about permutations and combination on:

brainly.com/question/4658834

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