Answer:
x=11
Step-by-step explanation:
(4x)+(3x+13)=90
if you look at the beam, it includes a 90 degree angle.
7x+13=90
distributive property
7x=77
subtracted both sides by 13
x=11
divided both sides by 7 to isolate x
4(11) 3(11)+13
44 33+13
36
4(x) is the larger angle
Answer:
The equation for b would be y = 1/2x + 1
Step-by-step explanation:
In order to find this, start by finding two points on the line. We'll use (0,1) and (2, 2). From there we start by finding the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - 1)/(2 - 0)
m = 1/2
Now using that, we can plug it, along with a point into point-slope form to get the answer.
y - y1 = m(x - x1)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Answer:
See below.
Step-by-step explanation:
Use the same method as before. Go from each original point in a direction perpendicular to the line of reflection, and then go the same distance to the other side of the line.
Answer:
Equations:
y + 10x = 23
y + 15x = 33
cost of basket with 25 apples = $53
Step-by-step explanation:
A basket with 10 apples cost $23 and a basket with 15 apples cost $33. Note that these costs also include the cost of the basket, which is same in both case. Let the cost of empty basket with "y" and cost of each apple be "x"
Cost of basket and 10 apples is $23. We can transform this statement into an equation as:
y + 10x = 23 Equation 1
Similarly,
Cost of basket and 15 apples is $33. This gives us another equation:
y + 15x = 33 Equation 2
Subtracting Equation 1 from Equation 2 , we get:
y + 15x - (y +10x) = 33 - 23
5x = 10
x = 2
Using the value of x in equation 1, we get:
y + 10(2)= 23
y = 23 - 20
y = 3
This means, cost of basket is $3 and cost of each apple is $2.
Now we can calculate the cost of basket with 25 apples, which will be:
Cost of basket + Cost of 25 apples = Total Cost
3 + 25(2) = 3 + 50 = $53
