Answer:
x = 19
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x-7+4) * 4 = 8^2
(x-3)*4 = 64
Divide each side by 4
x-3 =16
Add 3 to each side
x-3+3 = 16+3
x = 19
Answer:
Last option.
Step-by-step explanation:
The consecutive exterior angle theorem states that the exterior angles are supplementary if two lines are cut by a transversal.
m∠1 + m∠7 = 180
m∠2 + m∠8 = 180
Given:
The equation of a function is
To find:
The graph of the given function.
Solution:
The vertex form of a parabola is
...(i)
Where, (h,k) is vertex of the parabola.
We have,
...(ii)
From (i) and (ii), we get
The vertex of the parabola is (4,1).
Now, the table of values is
x y
2 5
3 2
4 1
5 2
6 5
Plot these points on a coordinate plane and connect them by a free hand curve.
The graph of given function is shown below.
Answer:
Karl works 7 hours a week
Step-by-step explanation:
Step 1: Determine total amount that Sally earns
Total amount Sally earns=rate per hour×number of hours worked(h)
where;
Rate per hour=$7 per hour
Number of hours worked=h
Replacing;
Total amount Sally earns=(7×h)=7 h
Step 2: Determine total amount Karl earns
Total amount Karl earns=rate per hour×number of hours worked
where;
rate per hour=$5
number of hours worked=2 more than Sally=h+2
replacing;
Total amount Karl earns=5(h+2)
Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h
7 h=5(h+2)
7 h=5 h+10
7 h-5 h=10
2 h=10
h=10/2
h=5
Karl works (h+2) hours=(5+2)= 7 hours
Karl works 7 hours a week
