Answer:
p = 6; RPQ = 60 degrees
Step-by-step explanation:
Because RPS is 120 degrees and it is bisected by PQ (cut into 2 equal parts), we can determine that both sides are 60 degrees. Set the expression 5p+30 equal to 60 to find the value of p.
5p + 30 = 60
5p = 30
p = 6
So now you have determined that p = 6, and the measure of RPQ is 60 degrees.
Hope this helped!
Answer: ABC seem to be equilateral
so A=B=C=60
D=42
E=35
F=35
G=55
H=45
I=45
j=15
k=15
L=75
M=180
N=11
O=35
P=11
Q=55
R=55
S=32
T=32
U=69
Step-by-step explanation:
L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2
Slope of side LM: m LM = (yM-yL) / (xM-xL)
m LM = ( -2 - (-4) ) / (3-1)
m LM = ( -2+4) / (2)
m LM = (2) / (2)
m LM = 1
The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1
Slope of side KL = m KL = m MN = Slope of side MN
The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
(m KL) (1) = -1
m KL = -1 = m MN
Answer:
Slope of side LM =1
Slope of side NK =1
Slope of side KL = -1
Slope of side MN = -1
Answer:
Step-by-step explanation:
6< 3x + 9
-3x < 9-6
-3x < 3 .( -1 )
3x > 3
x > 3/3
x > 3
3x + 9 ≤ 18
3x ≤ 18-9
3x ≤ 9
x ≤ 9/3
x ≤ 3
S = {XeIR/ 3 > x ≤ 3 }
Not sure if the solution looks like this
Answer:
3.14 is the brainliest answer of them all