Answer:
option C
Step-by-step explanation:
Total number of items = 5
Number of items to choose = 2
Therefore, the number of combinations is

Answer:
A. 112 m^2
Step-by-step explanation:
If the scale factor is 4, the area of the larger figure is 4^2 times that of the smaller one.
... (7 m^2)·4^2 = 112 m^2
_____
The scale factor for area is the square of the scale factor for linear dimensions. When we talk about a scale factor without qualification, we mean the scale factor for linear dimensions.
Answer:
1. a + b + c = 180
2. b + d = 180
3. d = a + c
Step-by-step explanation:
1. a + b + c = 180:
Angles in a triangle add up to 180
2. b + d = 180:
Angles in a straight line equal 180 because they are supplementary angles
3. d = a + c:
ΔACD is an exterior angle, and ΔACB is interior adjacent, hence ∠a and ∠c add up to ∠d
Answer:
x=2, y=-3
Step-by-step explanation:
x+3y+-7
move variable to the right and -3y from each side
x+3y-3y=-7-3y
x= -7-3y
3x -4y=18
3(-7-3y)-4y=18
solve for y, distribute
-21-9y-4y=18
collect like terms
-21-13y=18
move constant and change sign
-13y=18+21
add
-13y=39
divide by -13
y= -3
substitute
x=-7-3(-3)
solve
x=2
Answer: 3:10
Step-by-step explanation:
From the question, b= 3; c=10
Ratio of b:c will be
the value of b:value of c
=3:10
I hope you understand