Answer:
all the angles add up to 180 degrees
So 180÷6=30
(i got 6 cuz 1+2+3)
so 1=30
2=30*2=60
3=30*3=90
Answer:
2160 candies
Step-by-step explanation:
36x2= 72
72x30= 2160
Answer:
y=-2x+160
Step by Step:
The equation of a line can be determined using the point slope formula:
y-y1=m (x-x1)
To make a substitution, we must ensure we have the correct information. The question gives:
y1=60
x1=50
y=1/2x+10 This is the formula of a line that is perpendicular to the one we are trying to find.
It tells us that the gradient of the perpendicular line is 1/2. The gradient of the line we are trying to find can be found using m1×m2=-1 because we know that when lines are perpendicular, the product of their gradients must equal 1
So if we replace m1 with 1/2
1/2×m2=-1
m2=-2
We now have all the relevant information to make a substitution:
y-60=-2 (x-50)
expand brackets
y-60=-2x+100
rearrange to get in the form y=mx+b
y=-2x+160
It's the first one. y can equal x as long as y doesn't equal x multiple times. We also know the last two are wrong because they're saying the same thing. A linear function is a straight line.
Answer
a) PQ = 50
b) PC = 18
PY = 27
c) ZC = 6
ZQ = 18
Explanation
Centroid is a point inside a triangle where all lines drawn from each vertex to the midpoints of opposite side intersect.
Part a
X is the midpoint of PQ. SoPX = XQ.
If PX = 25,
then PQ = 2PX
PQ = 2×25
PQ = 50
Part b
The centroid is alway two thirds away from the vertex.
Also PC = twice CY
PC = 2×9
PC = 18
So, if CY = 9, then PY = 3 × 9
PY = 27
Part c
(i) The centroid is alway two thirds away from the vertex.
If ZC = 12, then CZ =(1/2)QZ
CZ = (1/2) × 12
CZ = 6
(ii) The centroid is alway two thirds away from the vertex.
So, if CZ = 6, then QZ =3 CZ
QZ = 3×6
QZ = 18
