Answer:
Step-by-step explanation:
Given the diagram, we can see that ∠PQR and ∠RQS are complementary angles.
*Two angles with measures that add up to 90° are known as Complementary angles.*
Therefore, m∠PQR+m∠RQS=90°
Subtract 48 from both sides:
<u>_______________________________</u>
Its the last option because anything between 0 to 1 would he smaller than the original
Hey there!
The answer is C.
First of all, let's assign variables. We can use t for tricycles and b for bicycles.
Next let's look at the first statement:
"There are at most 12 bicycles and tricycles in a school playground."
"At most" means the number 12 will be included in the inequality, so the sum of b and t is at most 12.
We can write this as b + t ≤ 12.
Now we can look at the second statement:
"There are at least 17 wheels altogether."
"At least" means the number 17 will be included in the inequality.
Since each bicycle has 2 wheels and each tricycle has 3 wheels, the sum of 2b and 3t is at least 17.
That can be written as 2b + 3t ≥ 17.
Our final system of inequalities:
b + t ≤ 12
2b + 3t ≥ 17
This matches option C.
Hope this helps!
We have that
<span>(x+2)(y+3)=0
we know that
Part A)
the x-intercept is when y=0
for y=0
</span>(x+2)(0+3)=0--------> (x+2)*3=0------> 3x+6=0----> 3x=-6----> x=-2
the point is (-2,0)
Part B)
the y-intercep is when x=0
for x=0
(0+2)(y+3)=0-----> 2*(y+3)=0-----> 2y+6=0----> y=-6/2-----> y=-3
the point is (0,-3)
<span>One-third of 2c subtracted from five times nine
1/3 of 2c subtracted 5 x nine
1/3 x 2c - 5(9)
=1/3 x 2c - 45
=2c/3 - 45
if we solve for c,
2c/3 = 45
2c = 45 x 3
2c = 135
c = 135/2
c = 67.5</span>
