9514 1404 393
Answer:
x = 12.5
Step-by-step explanation:
The value of x is part of the value of an angle in a triangle where the other angles are known. This suggests that the relevant theorem is the "angle sum theorem," which tells you <em>the sum of angles in a triangle is 180°</em>.
This gives you the equation ...
60° +60° +(4x+10°) = 180° . . . . total of all angles is 180°
4x +130° = 180° . . . . . . . . . . collect terms
4x = 50° . . . . . . . . . . . . subtract 130° from both sides
x = 12.5° . . . . . . . . . divide both sides by 4
Answer:
x = ± 15
Step-by-step explanation:
Given
x² = 225 ( take the square root of both sides )
x = ± 
= ± 15
That is x = - 15 0r x = 15
Answer:
2 groups
Step-by-step explanation:
- 18 ÷ 9 = 2 groups
I hope this helps!
Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars
We have Lesley's purchase: 4x+2y=13.50
And Landon's: 1x+5y=17.55
We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55
We add this four times to Lesley's purchase to eliminate the x variable.
2y-20y=13.50-70.2
-18y=-56.7
y = $3.15 = Price of box of granola bars
Plug back into Landon's purchase to solve for pretzels.
x+5*3.15=17.55
x+15.75=17.55
x = $1.80 = price of bag of pretzels
Problem 4.
Let w = number of wood bats sold
Let m = number of metal bats sold
From sales information we have: w + m = 23
24w+30m=606
Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second.
24*(23-m)+30m=606
552-24m+30m=606
6m=54
m=9 = number of metal bats sold
Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.
