Find the measure of angle x in the figure.
1 answer:
You might be interested in
Hi there! :)
Find the perimeter by solving for y.
We know that a rectangle contains two pairs of parallel and congruent sides, therefore:
5y - 1 = 2y + 8
We can solve for y using this expression. Begin by subtracting 2y from both sides:
5y - 2y - 1 = 2y - 2y + 8
3y - 1 = 8
Add 1 to both sides:
3y - 1 + 1 = 8 + 1
3y = 9
Divide both sides by 3:
y = 3
Recall that the perimeter of a rectangle is:
P = 2l + 2w
Plug in the given expressions for the side lengths to find one equation:
P = 2(5y - 1) + 2(y - 1)
Simplify by distribution:
P = 10y - 2 + 2y - 2
Combine like terms:
P = 12y - 4
Plug in the solved value of y into this equation:
P = 12(3) - 4
P = 36 - 4
P = 32 cm.
Answer:
The complete question is as shown in the attached figure 1
The Venn diagram is the attached figure 2
Let: R⇒ribs , H⇒hamburgers and C⇒corn
People would eat all three = 53
People would eat only R and H = 56 - 53 = 3
People would eat only C and H = 54 - 53 = 1
People would eat only R and C = 55 - 53 = 2
People would eat only H = 60 - (53+3+1) = 60 - 57 = 3
People would eat only R = 59 - (53+3+2) = 59 - 58 = 1
People would eat only C = 56 - (53+1+2) = 0
See Vinn diagram.
=========================================================
a. How many people did not want any of these foods?
people did not want any of these foods = 64 - (53+3+1+2+3+1) = 1
b. How many people would eat ribs but not corn?
people would eat ribs but not corn = 1+3 = 4
c. How many people would eat something as long as it was not a hamburger?
people would eat something as long as it was not a hamburger= 1+2 = 3
d. How many people would eat only corn?
people would eat only corn = 0
e. How many people would eat exactly two foods?
people would eat exactly two foods = 1 + 2 + 1
