7.
To swap a figure to 90 degrees counter clock wise turn the points from
(x,y) to (-y,x)
Let’s get your points
(-2,3) ; (-4,2) ; (-2,-4)
Swap the values and make the new x’s negotiate
(-3,-2) ; (-2,-4) ; (4,-2)
These should be the points of the new figure with is 90 degrees counterclockwise of the first one.
10.
To find x you can either:
Add 93 and 54
Or
Find the missing value of the triangle and subtract it from 180. Let’s do both
x = 93 + 54
x = 147
Or
180 - 93 - 54
33
180 - 33 = 147
x = 147
8.
First we dilate the coordinates by 0.5
(-4,6) ; (2,6) ; (2,-4) ; (-4,-4)
Basically divide each x and by by two
(-2,3) ; (1,3) ; (1,-2) ; (-2,-2)
Two units left would be to subtract two from the x values
(-4,3) ; (-1,3) ; (-1,-2) ; (-4, -2)
Add three to each y value
New coordinates:
(-4,6) (-1,6) (-1,1) (-4,1)
6.
Since these are the same circle, then we need to multiply the radius by 2 and then make the newly formed diameters equal to each other
2(6x) = 10x + 8
Multiply
12x = 10x + 8
Get x on one side
2x = 8
Divide
x = 4
Plug in 4 for an equation
2(6(4))
48
Circumference = pi * diameter
Unsure if you use 3.14 for pi
If you use 3.14 :
(3.14) (48) = 150.72
If you use pi :
Pi (48) (rounded) = 150.80
Answer:
Step-by-step explanation:
56 miles/(8 hours) = 7 miles/hour
14 hours × 7 miles/hour = 98 miles
To find the greatest common factor, first find the largest evenly divisible number that you can take out in both numbers, in this case 15 and 25. Then find the greatest or highest number of each variable that you can evenly take out or divide in both terms, this is for a, b and c.
So GCF of 15 and 25 would be 5
GCF of a = a^1 or a
GCF of b = b^1 or b
GCF of c = c^1 or c
Put everything together to find the GCF.
GCF = 5abc.
Wont the two lines be parallel since you are not changing the orantation of the shape
We solve this poblem by rule of 3:
25 gym members----------------8 prefer to drink bottled water
312 gym members-------------- x
x=(312 gym members * 8 prefer to drink bottled water) / 25 gym members=
=99,84 prefer to drink bottled water≈100 prefer to drink bottled water.
the answer is :
D: 100
