Answer:
Angle M=14.25°
Step-by-step explanation:
Sin(M)=16/65
Sin^-1(16/65)=14.25°
Step-by-step explanation:
m<POR = 90°
=>m<POQ+m<QOR=90°
=>x+37°=90°
x=90°-37°=53°
option B
The scale factor of the dilation is 2.
Option D is correct.
Step-by-step explanation:
To find the scale factor of dilation, we find ratio of similar sides.
We are given the point (3,5) is moved to (6,10) under dilation.
Scale Factor = 6/3 = 2
or
Scale Factor = 10/5 = 2
The scale factor of the dilation is 2.
Option D is correct.
Keywords: scale factor of the dilation
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First find x:
3x + 41 + x + x-8 + 2 = 100
Simplify :
5x + 35 = 100
Subtract 35 from both sides:
5x = 65
Divide both sides by 5:
X = 13
Total British stamps = x + x-8 = 13 + 13-8 = 18
Probability of being British = 18/100 = 9/50 as a fraction.
Answer:
Step-by-step explanation:
Jill makes purses and backpacks.
Let x represent the number of foot of fabric required to make a purse.
Let y represent the number of foot of fabric required to make a backpack.
To make each purse,she uses 1 foot less than half the amount of fabric she uses to make a backpack. This means that
x = (y/2) - 1
Therefore, the amount of fabric that Jill needs to make backpack will be
y/2 = x-1
y = 2(x-1) = 2x - 2
The number of feet of fabric that she will use to make a purse is
x = (y/2) - 1