Answer:
Option c (7.8) is the correct alternative.
Step-by-step explanation:
The given points are:
(x₁, y₁) = (2, -3)
(x₂, y₂) = (-4, 2)
As we know,
The distance between two points will be:
= 
On substituting the values, we get
= 
= 
= 
= 
= 
= 
Answer:
45°,55° and 80°.
Step-by-step explanation:
Dilations preserve angle measures, regardless of the scale factor. Therefore, the angle measures of the image will be the same of that of the pre-image, so our answer is still 45 °, 55 °, and 80 °.
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Answer:
see below
Step-by-step explanation:
cos(420°) = cos 60 = 1/2
sin(450°) = sin 90 = 1
Answer:
1) Distributive Property of Multiplication (The terms are distributed)
2) Addition property of equality (Adding 14 to both sides)
3) Simplifying (We simplified the expression)
4) Division property of equality (Dividing both sides by 6)
Answer:
100 black marbles
Step-by-step explanation:
The experimental probability of a black marble is
P(black) = 4/20 = 1/5
We expect that out of the 500 marbles in the box, 1/5 of them are black
1/5 (500) = 100
There should be 100 black marbles
