Since, PS and QR are parallel, we know that <QRP is equal to <RPS. Therefore, we can solve for y by setting the two equations equal to each other.
5y+14=8y-13
<em>*Subtract 5y from both sides to isolate the variable*</em>
14=3y-13
<em>*Add 13 to both sides*</em>
27=3y
<em>*Divide both sides by 3*</em>
9=y
Now, plug in 9 for y in the equation 8y-13 to find the measure of that angle.
8(9)-13
<RPS=59
Now, the sum of the angles in any triangle is equal to 180 degrees. We can use this knowledge to set up an equation to solve for x.
3x+2x+1+59=180
<em>*Combine like terms*</em>
5x+60=180
<em>*Subtract 60 from both sides*</em>
5x=120
<em>*Divide both sides by 5*</em>
x=24
Now, we can find <RSP by pluggin 24 in for x.
2(24)+1
48+1
<RSP=49 degrees
Hope this helps!!
Answer:
? wouldn't it be obtuse
Step-by-step explanation:
<u>Answer:</u>
<h2>990</h2>
<u>Explanation:</u>
For first place, we have 11 choices
11 × __ × __
For second place, we have 10 choices
11 × 10 × __
And for third place, we have 9 choices
11 x 10 x 9 = 990 ways
This is also a permutation
11! / (11-3)! = 990
Hope it helps
Answer:
50
Step-by-step explanation:
1/2 x base x height
In this problem: (It's times 2 because I split it up into 2 triangles.)
1/2 x 10 x 5 x 2 =
50
hope this helps
have a good day
Answer:
A: False
B: False
C: True
D: True
E: False
F: True
G: True
H: True
Step-by-step explanation:
A: 9(x - 2) = 9x + 2
9x - 18 = 9x + 2 FALSE
B: 65 - y = y - 65
(equation rearranged) -y + 65 = y - 65 FALSE
C: g (times) h = h (times) g (TRUE due to the commutative property of multiplication)
D: a (times) 0 = 0 (TRUE because anything times 0 equals 0)
E: (4 (times) 2) - r = 4 (2 (times) r)
8 - r = 8 - 4r FALSE
F: k + 0 = k TRUE
G: (a + x) + y = a + (x + y)
a + x + y = a + x + y TRUE
H: 5(2x - 9) = 10x - 45
10x - 45 = 10x - 45 TRUE
