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GREYUIT [131]
2 years ago
14

Angle X and Angle Y are complementary angles. Given Angle Y is equal to 1/5th Angle X. Find the value of Angle X in degrees

Mathematics
1 answer:
Elis [28]2 years ago
6 0

Answer:

75 degrees

Step-by-step explanation:

Complementary angles equal 90 degrees together. That is the case with angle X and Y. Set an equation to describe the situation.

Y=1/5X

X=5Y

Now, set another equation:

X+Y=90

Substitute the first equation into the second one.

5Y+Y=90

6Y=90

Y=15

Substitute this once again:

X+15=90

X=75

You might be interested in
A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6 12
Elis [28]

The fraction which is equivalent to 6/12 is 1/2

What does a fraction mean?

In the first place, fraction is a numerical quantity or relationship where one number is expressed in terms of another.

In order to determine the equivalence of 6/12 in fraction , we need reduce 6/12 to the lowest term, since 6 is common to 6 and 12 and that 6 divided by gives 1 and 12/6 gives 2, which means that we are left 1/2

The correct fraction which is equivalent to 6/12 is 1/2

Find out more about fraction on:brainly.com/question/5243429

#SPJ1

Full question:

A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6/12?

(A) 1/3

(B)1/4

(C) 1/6

(D) 1/2

5 0
1 year ago
An assembly line has two inspectors. The probability that the first inspector will miss a defective item is 0.06. If the defecti
Novay_Z [31]

Answer:

probability that both passes a defective item is  0.8742‬

<h3>Step-by-step explanation:</h3>

probability that the first inspector misses is Pr( 1st misses)= 0.06

therefore the probability he does not miss is

Pr(1st passes)= 1 - Pr( 1st misses) = 1 - 0.06 = 0.94

probability that the second misses is Pr( 2nd misses) = 0.07

therefore probability that 2nd does not miss is

Pr( 2nd passes) = 1- Pr( 2nd misses) = 0.93

probability that both passes a defective item is  Pr(1st passes)*Pr( 2nd passes)

= 0.93*0.94 = 0.8742‬

7 0
3 years ago
Answers for both boxes please ​
sleet_krkn [62]

Answer:

x = -5  y = -3

Step-by-step explanation:

-3x + 2y = 9

multiply the 2nd equation by 3 to set it up for elimination

3(x - 3y)= 3(4)

3x-9y = 12

so now combine both to add

-3x + 2y = 9

3x - 9y = 12

Adding both gives you

-7y = 21

divide both by -7 and you get

y = -3

and you substitute y back into equation to get x

x - 3 (-3) = 4   gives you

x + 9 = 4

x = 4 - 9

x = -5

7 0
2 years ago
Cuanto es 6x8-=1000000
stira [4]

Answer:

48

Step-by-step explanation:

8 0
2 years ago
If P is the incenter of triangle JKL, find the measure of JKP.
ladessa [460]

Answer:

m∠JKP = 31.5°

Step-by-step explanation:

Incenter of a triangle is the point where all the bisectors of interior angles intersect each other.

JN is the angle bisector of ∠KJL.

Therefore, m∠KJN = m∠LJN

(7x - 6) = (5x + 4)

7x - 5x = 6 + 4

2x = 10

x = 5

m∠KJN = (7x - 6)

            = 7(5) - 6

            = 35 - 6

            = 29°

In ΔKJN,

m∠JKN + m∠KNJ + m∠NJK = 180°

m∠JKN + 90° + 29° = 180°

m∠JKN = 180°- 119° = 61°

Since KO is the angle bisector of ∠JKN,

m∠JKP = \frac{1}{2}(\angle JKN)

            = \frac{1}{2}(61)

            = 30.5°

6 0
3 years ago
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