Answer:
1.25 = X
Step-by-step explanation:
5-2x+2=12-4x-2x
Combine all like terms here.
7-2x=12-6x
Add 2x on both sides.
7=12-4x
Subtract 12 on both sides.
-5=-4x
Divide by -4.
1.25=X
Answer:
x = 14
Step-by-step explanation:
Vertical angles are congruent , then
7x - 27 = 3x + 29 ( subtract 3x from both sides )
4x - 27 = 29 ( add 27 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
slope-point form:
we need the slope (m) and a point.
y-y₀=m(x-x₀)
Given two point A(x₁,y₂) and B(x₂,y₂), the slope of the line is :
m=(y₂-y₁) /(x₂-x₁)
Example 3:
we can take two points:
A(12,2)
B(13,7)
m=(7-2) / (13-12)=5/1=5
therefore:
y-2=5(x-12)
y-2=5x-60
y=5x-60+2
y=5x-58
answer: y=5x-58
Example 4:
we can take two points.
A(0,0)
B(3,1)
m=(1-0)/(3-0)=1/3
Therefore:
y-0=1/3(x-0)
y=x/3
answer: y=x/3
We’re going to use the formula for area of a rectangle, which is length x width. We are also going to use the formula for area of a triangle which is 1/2 x base x height.
Let’s start with the rectangle under the triangle ends of the roof. They are 11mm wide, 10mm high, and there are two of them.
11 x 10 x 2 = 220
Then the other sides that are 16 x 10. There are 2 of them.
16 x 10 x 2 = 320
Then the rectangular pieces of roof, 9.7 x 16, and there are 2 of them.
9.7 x 16 x 2 = 310.4
Lastly, the triangle pieces of roof. (1/2)(base)(height), but there are 2 of them
1/2 x 11 x 8 x 2 = 88
Add up all the parts:
220 + 320 + 310.4 + 88 = 938.4 mm
A bagel store bakes 57 bagels.Throughout the day, they sell all 57 bagels, leaving them with 0. Hope this helps
