Answer:
n=5.25 or 21/4
Step-by-step explanation:
Since each side of the triangle is the same, due to it being equalaterial, we know that you can equal two sides to get what x equals.
n=3/4
Input that into any equal, I chose 7n for it's simplicity, and got 21/4, which could also be written as 5.25.
Answer:
D. 39°
Step-by-step explanation:
mAB = (3x + 9°)
mCD = (11x – 71)
From the diagram: |AB|=|CD|
Since arcs AB and CD are subtended by a chord of equal length.
mAB=mCD
3x + 9°=11x – 71°
Collect like terms to solve for x
11x-3x=9°+71°
8x=80°
x=10°
Therefore, the measure of AB:
mAB = (3x + 9°)
=3(10)+9
=30+9
=39°
The correct option is D.
Answer:
The family bought 8 hot dogs and 5 hamburguers.
Step-by-step explanation:
We'll call the amount of hamburguers as 'x' and the amount of hot dogs as 'y'. Since the family bought 13 hot dogs and hamburguers we have:
x + y = 13
The family spent a total of 22.5, if each hot dog costs 1.25 and each hamburguer costs 2.5, we have:
2.5*x + 1.25*y = 22.5
We now have two equations and two variables so we can build a system as state bellow:
x + y = 13
2.5*x + 1.25*y = 22.5
From the first equation we have x = 13 - y. We can use this value on the second equation to solve for y:
2.5*(13 - y) + 1.25*y = 22.5
32.5 - 2.5*y + 1.25*y = 22.5
-2.5*y + 1.25*y = 22.5 - 32.5
-1.25*y = -10
y = 10/1.25 = 8
So x = 13 - y = 13 - 8 = 5.
The family bought 8 hot dogs and 5 hamburguers.