Answer:
x=33
Step-by-step explanation:
56=-10+2x
56+10=66
66=2x
66/2=33
33=x
Answer:
2,400cm²
Step-by-step explanation:
FORMULA FOR VOLUME OF A CUBOID = L×B× H
WHERE L is LENGTH =20cm
B=15cm
H= 8cm
:• VOLUME=20cm ×15cm ×8cm
=2,400cm²
<u>Part a)</u> If both ants skate directly towards each other, starting at the same time and skating the same speed, what will be the coordinates of their meeting place?
Let
A(3,4) B(33.44)
we know that
If both ants skate directly towards each other, starting at the same time and skating the same speed
then
the coordinates of their meeting place is the midpoint AB
<u>Find the midpoint AB</u>
in the x-coordinate
(3+33)/2=18
in the y-coordinate
(4+44)/2=24
the midpoint AB is (18,24)
therefore
<u>the answer Part a) is </u>
the coordinates of their meeting place is (18,24)
<u>Part b)</u> How far will each ant skate?
<u>Find the distance AB</u>

substitute the values

units
units
<u>Find the half distance AB</u>
50/2=25 units
therefore
<u>the answer part b) is</u>
Each ant will skate 25 units
Answer:
The sum of all the sides to this quadrilateral will equal a total of 20 inches, so you set up the equation:
2 + 2x + 7 + x + 2 = 20
Solve for x by combining like terms;
(2 + 7 + 2) + (2x + x) = 20
Which simplifies to;
11 + 3x = 20
Get rid of constants;
-11 -11
3x = 9
Isolate x by getting rid of it's coefficient;
/3 /3
<u>x = 3</u>
Now, to find the length of PQ, we plug in the value of x(3) into the equation that contains the line PQ.
x + 2
<u>3</u> + 2
= <u>5 inches.</u>
Now, to find the length of RS, we plug in the value of x(3) into the equation that contains the line RS.
2x
2(3)
= <u>6 inches.</u>
A = π*r^2
r = √(A/π) = √(45/π) ≈ 3.78
The radius is approximately 4 inches.