We call x the 4 points-worth problems and y the 3 points-worth problems
You know that x+y = 32
4x+3y = 111
You know that the difference from the x and y is 32 so write:
x = 32-y
Substitute at x the value of 32-y
4(32-y)+3y = 111
128-4y +3y = 111
-4y+3y = 111-128
-y = -17
y = 17
Answer is QM = 18
You can find the length of QM by using Pythagorean theorem. See the attachment.
It is a quadrilateral with 4 equal congruent sides.
If SP = 30, so do the other 3 sides indicated by the tick marks on all 4 sides.
We will call side RQ = the hypotenuse
or side “c” = 30
We know RM is leg “b” = 24
Side “a” is our unknown QM
Our formula is
a^2 + b^2 = c^2
a^2 + 24^2 = 30^2
a^2 + 576 = 900
a^2 = 900 - 576
a^2 = 324
Take square root of both sides to solve a
a = 18
QM = 18
Answer:
225 miles
Step-by-step explanation:
We start by converting it into a fraction, then multiply by the quantity
Surface area of a prism=2(long x wide)+2(long x high )+2(wide x high)
Data:
long=5 m
wide=2 m
high=2 m
Surface area of this prism=2(5 m * 2 m)+2(5 m*2 m)+2(2 m*2m)
=2(10 m ²)+2(10 m²)+2(4 m²)
=20 m²+20 m²+8 m²
=48 m²
Answer: C 48 m²