Answer:
14 - x = age of years ago.
Step-by-step explanation:
2.
M must be (0,0) since it coincides with the origin
R must be (a+b, √(a²-b²)).
The x-coordinate is b from A translated to the right by a.
The y-coordinate is the same as A.
(I think the square root is there to confuse you).
3.
R(0,0)
C(a,b) (same x as T, same Y as E)
5.
Not sure how to prove that.
Answer:
The measure of the two supplementary angles is
Small angle = x = 44°
Large angle = y = 136
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180° .
Let
Small angle = x
Large angle = y
x + y = 180°.... Equation 1
The measure of the large angle is four more than three times the measure of the small angle
Hence: y = 4 + 3x
We substitute 4 + 3x for y in Equation 1
x + 4 + 3x = 180°
4x + 4 = 180°
4x = 180° - 4
4x = 176
x = 176/4
x = 44°
Solve for y
y = 4 + 3x
y = 4 + 3(44)
y = 4 + 132
y = 136°
Therefore, the measure of the two supplementary angles is
Small angle = x = 44°
Large angle = y = 136
Answer:
10 cups of milk
Step-by-step explanation:
Make a proportion, where x is the number of cups of milk for 165 cookies:
= 
Cross multiply and solve for x:
11x = 110
x = 10
So, 10 cups of milk are needed to make 165 cookies
Answer:
6
Step-by-step explanation:
I used the formula d=√((x_2-x_1)²+(y_2-y_1)²), plugged in the numbers and solved and got 6 units.
