All categories

2 years ago

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

How to change 3x-4y=-2 into slope- intercept

Korvikt [17]

-4y = -3x-2
y = 3/4x + 2/4
y = 3/4x + 1/2

3 0

2 years ago

Find the quotient of the quantity 4 times x to the 3rd power times y plus 12 times x to the 2nd power times y to the 3rd power m

asambeis [7]

We have to find the quotient :
( 4 x³ y + 12 x² y³ - 20 x y ) / ( 4 x y ) =
= 4 x y ( x² + 3 x y² - 5 ) / ( 4 x y ) = ( Then 4 x y will be cancelled )
= x² + 3 x y² - 5
Answer:
D ) x² + 3 x y² - 5

6 0

3 years ago

Read 2 more answers

Help me pass thank you!!!

Step2247 [10]

Answer:

Step-by-step explanation:

$(\frac{m^{2} }{m + 3} )^{3} \\ = \frac{m^{6} }{(m + 3)^{3} } \\ = \frac{6 {}^{6} }{{9 {}^{3} } }$

46656/729

= 64

7 0

2 years ago

Find the area. Please help me with this problem:)

Musya8 [376]

Answer:

132 square feet

Step-by-step explanation:

If you need an explanation, just ask.

Hope this helps! Pls give brainliest!

5 0

1 year ago

Point M is the midpoint of segment AC. Point M is located at (25.5, 60.1) and point C is located at (18.3, 72.5). What is the lo

Strike441 [17]

Answer:

$A = (32.7,47.7)$

Step-by-step explanation:

Given

$M = (25.5,60.1)$

$C = (18.3,72.5)$

Required

Determine the coordinates of A

Midpoint is calculated as thus:

$M(x,y) = (\frac{A_x + C_x}{2}, \frac{A_y + C_y}{2})$

Substitute the given values

$(25.5,60.1) = (\frac{A_x + 18.3}{2}, \frac{A_y + 72.5}{2})$

Multiply through by 2

$2 * (25.5,60.1) = (\frac{A_x + 18.3}{2}, \frac{A_y + 72.5}{2}) * 2$

$2 * (25.5,60.1) = (A_x + 18.3, A_y + 72.5)$

$(51,120.2) = (A_x + 18.3, A_y + 72.5)$

By comparison:

$A_x + 18.3 = 51$

$A_y + 72.5 = 120.2$

$A_x + 18.3 = 51$

$A_x = 51 - 18.3$

$A_x = 32.7$

$A_y + 72.5 = 120.2$

$A_y = 120.2 - 72.5$

$A_y = 47.7$

Hence:

$A = (32.7,47.7)$

3 0

2 years ago