Answer:
The chord is bisected.
Step-by-step explanation:
see the attached figure to better understand the problem
In the circle of the figure
The diameter is the segment DE
The chord is the segment AB
PA=PB=r ----> radius of the circle
Triangles PAC and PBC are congruent right triangles by SSS
Because
PA=PB
PC is a common side
AC=BC ----> Applying Pythagoras Theorem
therefore
The chord AB is bisected
Answer:
see explanation
Step-by-step explanation:
I assume you need to find the 10% and also the amount per year maybe?
so, you will pay 21,900 dollars upfront
219000-21900=197100
219000*1/10=21900, which is ten percent.
197100=30x, x being money paid per year in this case
divide both sides by 30
6570=x
You will pay 6,570 each year for this house. You can continue to divide to find monthly payments. or quarterly payments. Divide by 12 to find monthly payment and divide by 4 to find quarterly
<h3>
Answer: 24 (choice C)</h3>
Assuming M is a midpoint of KW, this means that WM and KM are congruent
WM = KM
x+3 = 2(x-3) ... substitution
x+3 = 2x-6
2x-6 = x+3
2x-6-x = x+3-x .... subtract x from both sides
x-6 = 3
x-6+6 = 3+6 ... add 6 to both sides
x = 9
Use x = 9 to find the length of WM
WM = x+3 = 9+3 = 12
Which can be used to find the length of KM as well
KM = 2(x-3) = 2(9-3) = 2(6) = 12
both lengths are the same (12) as expected
This makes WK to be
WK = WM + KM
WK = 12 + 12
WK = 24
-16.9x + 16 is the correct answer. You have to remove the parentheses, collect the like terms, and then simplify.
Answer:
Step-by-step explanation:
if the lines are parallel they have the same gradient.
rearrange the equation to make y the subject and then use the m value as gradient.
-3x=2-y
-3x-2=-y
y=-(-3x-2)
y=3x+2
therefore m=3
slope is 3
