R=x(A+B)
divide both sides by x
R/x=A+B
minus B both sides
(R/x)-B=A
A=(R/x)-B
If the lines are parallel, they have no solutions because they never touch
The value of c is 5 units.
Step-by-step explanation:
Given,
WY = a = 4
ZY = b = 3
As WYZ is forming a right angle triangle, therefore, we can use pythagorean theorem to find the value of c

Taking square root on both sides

The value of c is 5 units.
Keywords: triangle, square root
Learn more about triangles at:
#LearnwithBrainly
Answer:
x=4 cm
Step-by-step explanation:
x=smallest side
4x=hypotenuse
4√15=third side
use the Pythagorean Theorem
(4x)^2=x^2+(4√15)^2
16x^2=x^2+240
16x^2-x^2=240
15x^2=240
x^2=240/15
x^2=16
x=√16
x=4 cm is the smallest side
the hypotenuse is 16 cm
the third side is 4√15 cm
Answer:
An apple costs $2.25. A mango costs $1.25.
Step-by-step explanation:
Let a = price of 1 apple.
Let m = price of 1 mango.
Cameron:
4 apples + 7 mangoes ----> total $17.75
4a + 7m = 17.75
Gavin:
2 apples + 5 mangoes ----> total $10.75
2a + 5m = 10.75
We have a system of 2 equations in 2 unknowns.
4a + 7m = 17.75
2a + 5m = 10.75
We can use the elimination method to eliminate the variable <em>a</em>. Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations.
4a + 7m = 17.75
(+) -4a - 10m = -21.5
---------------------------------
-3m = -3.75
Divide both sides by -3.
m = 1.25
<em>A mango costs $1.25.</em>
Now we use the first equation and substitute 1.25 for <em>m</em> and solve for <em>a</em>.
4a + 7m = 17.75
4a + 7(1.25) = 17.75
4a + 8.75 = 17.75
4a = 9
a = 2.25
<em>An apple costs $2.25.</em>
Answer: An apple costs $2.25. A mango costs $1.25.