To solve this problem, we must imagine the triangles and
parallel lines which are formed. It is best to draw the triangle described in
the problem so that you can clearly understand what I will be talking about.
The first step we have to do is to make an equality equation
in triangle ABC.
In triangle ABC, we are given that lines XY and BC are two
parallel lines (XY || BC). Therefore
this means that:
AX / XB = AY / YC --->
1
The next step is to make an equality equation in triangle
AXC.
We are given that lines ZY and XC are two parallel lines (ZY
|| XC). Therefore this also means that:
AZ / ZX = AY / YC ---> 2
Combining 1 and 2 since they have both AY / YC in common:
AX / XB = AZ / ZX
we are given that:
AZ = 8, ZX = 4 therefore AX = AZ + ZX = 12, hence
12 / XB = 8 / 4
XB = 6
C
If Nelson’s score was -4, he took 4 strokes less than par. His score was 68
Erwin has 1 more point than Nelson. The person with the most points loses, so Nelson won by 1 stroke.
Answer:
$11,600
Step-by-step explanation:
amount loaned at 8% and ($12,000 - x) = amount loaned at 18%
Write the equation: (change the percents to decimals: 8% = 0.08 and 18% = 0.18)
(0.08)x + (0.18)($12,000 - x) = $1,000
This expresses the total amount of earned interest in terms of the amounts of the loan, x and ($12,000 - x}.
0.08x + $2,160 - 0.18x = $1,000 Simplify and solve for x.
-0.1x = -$1,160 Divide both sides by -0.1
x = $11.600 The amount loaned at 8% interest.
Answer:
y = -2x + 3
y = -1/2x + 5
Step-by-step explanation:
- So the best way to solve is to come up with two slopes, I'd prefer 2 perpendicular slopes because perpendicular lines only cross once hence one solution guaranteed
- so say we choose a slopeA = 2 and slopeB = -1/2, the slopes are perpendicular only if when you multiply them you get -1
- then we use the slope intercept form of an equation y = mx + b
- we make up two equations y = -2x + b and y = -1/2x + b , now we can just make up number for b so the two equations are
- y = -2x + 3
- y = -1/2x + 5
- Then we solve them by substituting for y so
- -1/2x + 5 = -2x + 3 and x = -4/3
- and then we put this to get y in either equation
- y = -2(-4/3) + 3
- y = 17/3
- So the equations work
