Answer:
∠1=54°
∠2=54°
∠3 = 126°
Step-by-step explanation:
We need to find ∠1, 2 and 3
Since a traversal cut parallel lines we would use supplementary angles , congruent angles rules to solve the problem.
Angle 1 and 126 are supplementary angles.
They add up to make 180
So, ∠1 + 126 = 180
∠1 = 180-126
∠1 =54
We get ∠1=54°
Now, ∠1 ≅ ∠2, because they are corresponding angles and if traversal cut parallel lines, corresponding angles are congruent.
So ∠1 ≅ ∠2 therefore, ∠2=54°
Now, for finding measure for ∠3, we know that 126 and ∠4 are corresponding angles and corresponding angles are congruent.
So, ∠4 = 126°
We know that ∠3 and ∠4 are vertical angles.
And if traversal cut parallel lines, vertical angles angles are congruent.
So, ∠3 = 126°
Answer:
The graph is shown in the picture attached.
Step-by-step explanation:
<u>Defining:</u>
- x represents the number of minutes
- y represents the number of points scored
<u>Matt scored:</u>
- 12 points (y) in 20 minutes (x) is shown in the graph as the point (20, 12)
- 16 points (y) in 28 minutes (x) is shown in the graph as the point (28, 16)
- 15 points (y) in 24 minutes (x) is shown in the graph as the point (24, 15)
- 18 points (y) in 25 minutes (x) is shown in the graph as the point (25, 18)
Answer:
10 and 11
Step-by-step explanation:
Let the first integer be x.
Then the next one, since it's consecutive, must be (x+1).
The two equals 21. Thus:

Combine like terms:

Subtract 1 from both sides:

Divide both sides by 2:

So, the first integer is 10.
And the second integer is 10+1=11.
Answer:
f^-1(x) is 6x + 48
f(x) = 1/6x - 8
To find f^-1(x) equate f(x) to y
That's
f(x) = y
y = 1/6x - 8
Next interchange the terms
We have
x = 1/6y - 8
Make y the subject
Multiply through by 6
We have
6x = y - 48
y = 6x + 48
Therefore f^-1(x) is 6x + 48
Hope this helps you