Answer:
x is equal to 24 and y is equal to 66.
Step-by-step explanation:
In order to find the value of y, we first have to note that the unlabeled angle in the larger triangle, y and the 78 degree angle create a straight line. The unlabeled angle is equal to 36 since it and the other two angles equal 180. So we take that 36, 78 and y and can set that equal to 180.
36 + 78 + y = 180
114 + y = 180
y = 66
Now that we have that value, we can use y and the 90 degree angle to find x.
x + y + 90 = 180
x + 66 + 90 = 180
x + 156 = 180
x = 24
Answer:
0.98 $/cup
Step-by-step explanation:
The final answer asks for price/cup, as "per" means "divided by".
So, our final units will be in $/cup.
We are given that for every 2 gallons, it will cost $31.36.
In order to get from gallons to cups, we need to convert units.
In 1 gallon, there are 16 cups.
So, our conversion factor will be 16 cups/1 gallon.
$/cup
Important things to note:
- With these types of problems, it makes it much easier if you just figure out what units you need in the final answer, and then use conversions and dimensional analysis to get the answer
Answer:
42
Step-by-step explanation:
It's just a distribution property where the given value of each variables (a, b, c, d) are being distributed to the given equation:
7a2-3ac+d2
7(2)(2) - 3(2)(-3) + (-2)(2)
28 + 18 - 4 = 42
Answer:
BC
Step-by-step explanation:
the height of a right-angled triangle to the Hypotenuse is the square root of the product of the lengths of the 2 segments of the Hypotenuse.
so the square of the height is then the product of the 2 line segments of the Hypotenuse.
therefore
AC² = DC × BC
Answer:
y = 2x + 13
Step-by-step explanation:
