Angle 6 = angle 7 = 61⁰, as vertical angles
Angle 5 = angle 8, as vertical angles
angle 6+angle 7 + angle 5 + angle 8 =360
61+61 + angle 5 + angle 8 =360
angle 5 + angle 8 = 360 - 61*2 = 238⁰
Answer D. 238⁰
Step-by-step explanation:
x and y are roughly in a linear relationship.
when x increases by 2 units, then also y increases by more or less 2 units.
when x increases by 3 units, then also y increases by more or less 3 units.
it is not precise, but a good approximation model.
25q + 10d = 425
q + d = 20
First thing's first, picture 4 quarters. Do you know how much these 4 quarters are worth? Obviously, you'd answer one dollar, but take the time to think about how exactly you came up with this answer.
"Well, it's simple," you might think, "Multiply 0.25 by 4."
Similar to this train of thought, the first equation is formulated by doing exactly that. 'q' represents an unknown number of quarters, and 'd' an unknown number of dimes. We use 25q and 10d, because, well, we're multiplying their value by the number of coins. They're equivalent to 425 because the 20 unknown coins make $4.25 (I converted it to cents to get rid of the pesky decimals, but if you want to keep it as dollars that works too).
Because the equation states that there are 20 coins in total, we know that we can make the equation 'q + d = 20' since there are 20 quarters and dimes in total.
Let me know if you need any further explanation :)
-T.B.
Answer:
20, 45
Step-by-step explanation:
A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles must add up to 65.
The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9
A ratio partition parts of something. We can add the ratio intergers to find it full length.
4+9=13.
Divide 65/13=5.
Multiply 5x4 and 5x9 serpately.
We get 20 and 45
