Write and solve an equation of ratios based upon the fact that the small and large triangles shown are similar:
5 6
---- = ---------
14 6 + x
Then 30 + 5x = 84, and 5x = 54, and so x = 54/5, or 10.8, or 10 4/5.
Answer:
Step-by-step explanation:
When the problem is asking which lines have a slope of -2, this is referring to the steepness or rate of change. To determine which lines have a slope of -2, the line must have a rise of -2 and a run of 1. This means that the line will go down 2 units every 1 unit to the right.
Also, if a line is parallel (lines which never cross), it will have the same slope.
You can also eliminate lines c, and d because they increase while lines a, and b decrease. A and B have the same slope because they are parallel and decrease which means that this must be the answer.
Answer:
10.84
Step-by-step explanation:
First we multiply
1.4+(3.2×2.95)
1.4+9.44=
=10.84
Answer:
x = 7.535 and y = 0.307
Step-by-step explanation:
Given that,
Two equations,
2x + 3y = 8 ...(1)
x – 5y = 6....(2)
Multiply equation (2) by -2.
-2x + 10y = -12....(3)
Now, adding equations (1) and (2),
2x + 3y -2x + 10y = 8-12
13y = 4
y = 0.307
Put the value of y in equation (2).
x – 5(0.307) = 6
x = 6 + 1.535
x = 7.535
So, the solutions of the given equation are x = 7.535 and y = 0.307.
