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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

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This number is 0.02 more than five and five tenths

Nadya [2.5K]

5 and 5/10s sounds like 5.5 so I'd do 5.5+0.02=5.52

6 0

3 years ago

The coordinates of the 3 of the vértices of a parallelogram are (-7, 3), (-6, 1), and (-4, 5). What is the equation for the line

Natali [406]

We know, opposite sides are parallelogram is parallel, therefore slopes are equal.

Slope of line one :

$m=\dfrac{-7-(-6)}{3-1}\\\\m =\dfrac{-1}{2}\\\\m= -0.5$

So, equation of other line passing through (-4,5) and have slope of -0.5 is :

y-5 = -0.5( x-(-4))

y-5 = -0.5x - 2

y + 1/2x = 3

2y + x = 6

Therefore, equation of line containing the (-4, 5) is 2y + x = 6.

Hence, this is the required solution.

6 0

3 years ago

The quadratic function f (x) = - 45x2 + 350x + 1,590 models the population of a city where x represents the number of years sinc

kramer

Answer: 2,215,000

Step-by-step explanation:

Given: The quadratic function $f (x) = - 45x^2 + 350x + 1,590$ models the population of a city where x represents the number of years since 2005.

To Find: population of the city in 2010

We need to put x= 2010-2005 = 5

$f (5) = - 45(5)^2 + 350(5) + 1,590\\\\=-1125+1750+1590 =2215$

Hence, the estimated population of the city in 201 = 2215 thousands or 2,215,000 .

3 0

3 years ago

WILL GIVE 10 POINTS Leona was using an eyedropper to place droplets in a small container.

il63 [147K]

Answer:

A. milliliters B. 8 fluid ounces

Step-by-step explanation:

An eyedropper is very small and can only hold a small amount. You can eliminate 2 from the start: millimeter and meter. These two are use for measuring distance not volume. ex.) I walked 2 meters. A liter is too big for an eyedropper. ex.) 1 liter of soda.

A glass full of juice would be 8 fuild ounces because a glass is basically a cup. A 8 gallons is too big, and a 8 tablespoons is too small. ex.) gallon of milk and tablespoon of sugar. 8 cups is too big because a glass is about 1 cup. 8 fluid ounces = 1 cup

4 0

3 years ago

Brainliest, What is k ?

Ray Of Light [21]

Answer:

k=1

Step-by-step explanation:

Since the coefficient of $x^{3}$ is 1, that is what you put for k

4 0

2 years ago