Answer:
b) 200 square inches
Step-by-step explanation:
Area of a pentagon: A = 1/2 * 5(side)(apothem).
- side: b = 10in
- apothem: a = 8 in
A = 1/2 * 5(side)(apothem).
A = 1/2 * 5(10)(8).
A = 1/2 * 5(80).
A = 1/2 * 400
A = 200 square inches
Paralell is smae slope so it is
2x+3y=c
find c
given
(9,-3)
x=9
y=-3
evaluate to find the constant, c
2(9)+3(-3)=c
18-9=c
9=c
the equation is 2x+3y=9
Answer:
x = 20
Step-by-step explanation:
These angles are consecutive interior angles, so when added they will equal 180 degrees (according to the consecutive interior angles theorem).
3x - 10 + 5x + 30 = 180 add/subtract all like terms
8x + 20 = 180
8x = 160
x = 20 <--- This will be your answer
Hope it helps!
Answer:
B
Step-by-step explanation:
solve equation.
There seems to be a typo. You wrote 1313, but I'm assuming you meant to say the fraction 1/3. If this assumption is correct, then continue with the rest of the solution. If the assumption is not correct, then ignore what I wrote below and please provide clarification of what the "1313" should represent. Thank you.
----------------
B = your brother's age
S = your sister's age
Y = your age
All of these ages are current present day ages.
---------------
"your brother is 1/3 your age" so B = (1/3)Y or B = Y/3.
"Your sister is 6 years older than your brother" so S = B+6
"Your sister is 10 years old" so S = 10.
---------------
S = B+6
B+6 = S
B+6 = 10 ... plug in S = 10
B+6-6 = 10-6 ... subtract 6 from both sides
B = 4
Your brother is 4 years old.
---------------
B = Y/3
Y/3 = B
Y/3 = 4 .... plug in B = 4
3(Y/3) = 3*4 ... multiply both sides by 3
Y = 12
<h3>Answer: Your age is 12 years old.</h3>
note: This answer hinges on assumption that the "1313" should be "1/3".