Answer:
∠2 = ∠3 is a pair of Vertical Angles.
Step-by-step explanation:
Whenever two lines intersect with each other, the angle formed between them is called Vertically Opposite Angle.
Here, line l intersects the traversal so,
the angle formed between them ∠1 and ∠4 are vertically opposite.
So, ∠1 = ∠4
Also, as ∠1 + ∠3 = ∠2 + ∠4 = 180° (LINEAR PAIRS)
So, ∠3 = ∠2 are also vertical angles.
Answer:
g(-3) = 0
Step-by-step explanation:
hello :
g(-3) = (-3)² + 3(-3) = 9-9 =0
Answer:
Independent: g
Dependent: c
The cost of the gas depends on the amount he pumps
Answer:
10.50°C
Step-by-step explanation:
Given x = 2 + t , y = 1 + 1/2t where x and y are measured in centimeters. Also, the temperature function satisfies Tx(2, 2) = 9 and Ty(2, 2) = 3
The rate of change in temperature of the bug path can be expressed using the composite formula:
dT/dt = Tx(dx/dt) + Ty(dy/dt)
If x = 2+t; dx/dt = 1
If y = 1+12t; dy/dt = 1/2
Substituting the parameters gotten into dT/dt we will have;
dT/dt = 9(1)+3(1/2)
dT/dt = 9+1.5
dT/dt = 10.50°C/s
Hence the rate at which the temperature is rising along the bug's path is 10.50°C/s
Givens
Let the smallest integer = x
The middle integer = x + 1
The largest integer = x + 2
Remark
The first phrase up to is says the sum of ... The key word is sum. So far you have x + x + 1 + x + 2. Simplified this comes to 3x + 3.
Two times the 2nd number is 2*(x + 1) and from that, subtract 14
2(x + 1) - 14
If you break down each phrase as I have done you will soon become very good at doing these types of problems.
So the equation looks like this.
Solution
3x + 3 = 2(x + 1) - 14 Remove the brackets.
3x + 3 = 2x + 2 - 14 Combine the like terms on the right.
3x + 3 = 2x - 12 Subtract 3 from both sides.
3x = 2x - 12 - 3
3x = 2x - 15 Subtract 2x from both sides.
3x - 2x = - 15
x = -15 <<<< Answer for smallest number.
Answer
-15
- 14
-13 Are the three numbers you seek.