Answer:
The answer I got was 16 if your using addition, but 5 if using multiplication
Step-by-step explanation:
Answer:
2) The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
Step-by-step explanation:
Look at the photo below for the graph.
:)
Answer:
$10.5
Step-by-step explanation:
Given data
Total amount=$30
Drink = 1/5*30= $6
Ticket= 45% of 30
=45/100*30
=0.45*30
=$13.5
The remainder is for food
=30-6-13.5
=$10.5
Answer:
Part 1) The measure of arc EHL is ![108\°](https://tex.z-dn.net/?f=108%5C%C2%B0)
Part 2) The measure of angle LVE is ![54\°](https://tex.z-dn.net/?f=54%5C%C2%B0)
Step-by-step explanation:
step 1
Let
x-----> the measure of arc EHL
y----> the measure of arc EVL
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
![m](https://tex.z-dn.net/?f=m%3CEYL%3D%5Cfrac%7B1%7D%7B2%7D%28y-x%29)
we have
![m](https://tex.z-dn.net/?f=m%3CEYL%3D72%5C%C2%B0)
substitute
![72\°=\frac{1}{2}(y-x)](https://tex.z-dn.net/?f=72%5C%C2%B0%3D%5Cfrac%7B1%7D%7B2%7D%28y-x%29)
------> equation A
Remember that
-----> equation B ( complete circle)
substitute equation A in equation B and solve for x
![x+(144\°+x)=360\°](https://tex.z-dn.net/?f=x%2B%28144%5C%C2%B0%2Bx%29%3D360%5C%C2%B0)
![2x=360\°-144\°](https://tex.z-dn.net/?f=2x%3D360%5C%C2%B0-144%5C%C2%B0)
![x=216\°/2=108\°](https://tex.z-dn.net/?f=x%3D216%5C%C2%B0%2F2%3D108%5C%C2%B0)
Find the value of y
![y=144\°+x](https://tex.z-dn.net/?f=y%3D144%5C%C2%B0%2Bx)
![y=144\°+108\°=252\°](https://tex.z-dn.net/?f=y%3D144%5C%C2%B0%2B108%5C%C2%B0%3D252%5C%C2%B0)
therefore
The measure of arc EHL is ![108\°](https://tex.z-dn.net/?f=108%5C%C2%B0)
The measure of arc EVL is ![252\°](https://tex.z-dn.net/?f=252%5C%C2%B0)
step 2
Find the measure of angle LVE
we know that
The inscribed angle measures half that of the arc comprising
Let
x-----> the measure of arc EHL
![m](https://tex.z-dn.net/?f=m%3CLVE%3D%5Cfrac%7B1%7D%7B2%7D%28x%29)
we have
![x=108\°](https://tex.z-dn.net/?f=x%3D108%5C%C2%B0)
substitute
![m](https://tex.z-dn.net/?f=m%3CLVE%3D%5Cfrac%7B1%7D%7B2%7D%28108%5C%C2%B0%29%3D54%5C%C2%B0)
Writing this statement symbolically, we get:
n
--- - 5 = 8
2
Adding 5 to both sides, we get n/2 = 13. Then n = 26.