An angle measures 22.8° more than the measure of its supplementary angle. What is the measure of each angle?

Mathematics

1 answer:

Step2247 [10]3 years ago

3 0

1 supplementary angles equal 180 degrees.

Make an equation and solve:

X + x + 22.8 = 180

2x = 157.2

X = 157.2/2

X = 78.6

One angle is 78.6 degrees

The other angle is 101.4 degrees

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One number is 6 more than twice the other number. If the sum of the two numbers is 21, find the two numbers

hichkok12 [17]

Answer:

One number, let's call it x, is 6 more than twice the other number, let's say this number is y.

x= 2y+6

x+y=21

We're left with a system of equations.

If we substitute the first equation in the second we find the value of y.

(2y+6)+y=21

3y+6=21

3y=15

y=5

Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.

x+ (5)=21

x=16

Now to check if our answers are correct, we plug in both values into any equation and see if they equate.

x+y=21

(16)+(5)=21

21=21

Our solution is correct!

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2 years ago

The equation Y equals 4/10 X describes the number of kilometers y that a van travels in x minutes. What is the constant speed of

Mekhanik [1.2K]

Answer:

$\frac{4}{10}=0.4$ kilometers per hour.

Step-by-step explanation:

We have been given an $y=\frac{4}{10}x$ , which describes the number of kilometers y that a van travels in x minutes. We are asked to to find the constant speed of the van in terms of hours.

We can see that van travel $\frac{4}{10}x$ kilometers in x hours. To find the constant speed of van, we will substitute $x=1$ in our given equation as:

$y=\frac{4}{10}(1)$

$y=\frac{4}{10}$

Since van travels $\frac{4}{10}$ kilometers in one hour, therefore, constant speed of van is $\frac{4}{10}$ kilometer per hour or $0.4$ kilometers per hour.