Answer:
XY=8
Step-by-step explanation:
In △XYZ, XY=XZ
It is isosceles triangle whose equal sides are XY=XZ
We are given,
XY=2a
YZ=3a+1
XZ=5a-12
XY=XZ
So, 2a=5a-12
Solve for a,
2a-5a=-12
-3a=-12
a=4
Now we put a=4 into XY=2a
So, XY=2(4)=8
Substitute the coordinates of points to the equation.
Answer:
y = 15x
Step-by-step explanation:
A proportional relationship is of the form
y = kx ← k is the constant of proportionality
The only relationship fitting this relationship is
y = 15x with k = 15
Step-by-step explanation:
2w+6w=80
w=10
l=30
Answer:
x = 10
Step-by-step explanation:
Form the information given, we can deduce that:
m<OPQ is an exterior angle of ∆NOP = (6x - 15)°
m<PNO = (2x + 18)° and m<NOP = (2x - 13)° are both interior angles that are opposite to the exterior angle.
Therefore, based on the exterior angle theorem:
m<OPQ = m<PNO + m<NOP
(6x - 15)° = (2x + 18)° + (2x - 13)°
Solve for x
6x - 15 = 2x + 18 + 2x - 13
6x - 15 = 4x + 5
6x - 15 - 4x = 4x + 5 - 4x (Subtraction property of equality)
2x - 15 = 5
2x - 15 + 15 = 5 + 15 (addition property of equality)
2x = 20
2x/2 = 20/2 (division property of equality)
x = 10
