Answer:
C. 46°
Step-by-step explanation:
The supplement of an angle is the other angle that makes the two angles add up to 180°. In other words, supplementary angles are angles that add up to 180°.
- This means that 134 + x = 180
To find the measure of its supplement, we subtract 134 from 180, and then we get the angle measure.
Therefore, the answer is C. 46°.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
She studies 25/6 of an hour in the whole 5 days which comes out to 4 hours and 1/6. hope this helps :)
Answer:
∠A = 48
∠B = 58
∠BCA = 74
Step-by-step explanation:
m∠BCD is an exterior angle of a triangle while m∠A and m∠B are opposite interior angles of m∠BCD
Exterior angles of a triangle are equal to the sum of the opposite interior angles, hence m∠BCD = m∠A + m∠B
Knowing this we can create an equation to solve for y
∠BCA = 106° , ∠B = 3y + 22 and ∠A = 4y
If m∠BCD = m∠A + m∠B then 106 = 3y + 22 + 4y
106 = 3y + 22 + 4y we now solve for y
combine like terms ( 3y + 4y = 7y )
106 = 7y + 22
subtract 22 from both sides
84 = 7y
divide both sides by 7
12 = y
Now we can find the measures of ∠A and ∠B by plugging in the value of y into their expressions
∠A = 4y
y = 12
∠A = 4(12) = 48°
∠B = 3y + 22
y = 12
∠B = 3(12) + 22
3 * 12 = 36
∠B = 36 + 22 = 58°
Finally we want to find the measure of ∠BCA
∠BCA and ∠BCD are supplementary angles
Supplementary angles add up to 180°
Hence ∠BCA + ∠BCD = 180
∠BCD = 106°
∠BCA + 106 = 180
subtract 106 from both sides
∠BCA = 74°°
The table is attached.
A) The gasoline consume grows as the distance traveled increases. This means that the two quantities are directly proportional.
Therefore, the proportionality constant is given by:
k = gasoline / distance
= 2 / 40
= 0.05
We could have used also:
k = 3 / 60
= 0.05
In order to find the gasoline consumed, you need to multiply the distance by the proportionality constant:
30 × 0.05 =
1.555 × 0.05 =
2.75In order to find the distance traveled, you need to divide the gasoline consumed by the proportionality constant:
3.5 ÷ 0.05 =
70B) The function of the proportionality found is:
y = 0.05·x
where:
x = distance
y = gasoline
Therefore:
y = 0.05·110 = 5.5
Femi for a trip of 110 miles expects to use
5.5 gallons of gasoline.
6 tenths or 6/10
it doesn't matter how many zeros you have after the .6 it's still 6 tenths. It can have a hundred zeros it will still be just .6 = 6/10 = 6 tenths
Hope that helps you. :-)
