Answer:
Step-by-step explanation:
All values that satisfy y ≤ (1/3)x - 3 are solution
The Line PQ is cut half equally by point T. MEANING PT=TQ!!! So first, write out the equation.
PT = TQ
20?5x+3=7x-9
21?4x-6=3x+4
22?7x-24=6x-2
The question asks you to find the value of PT, but you’ll have to find the value of x first.
x=6
x=10
x=22
And then just just plug in x in just the PT equation.
5(6)+3= 33
4(10)-6= 34
7(22)-24= 130
and there you have it
20?=33
21?=34
22?=130
Answer:
The answer is 20 miles
Step-by-step explanation:
15 minutes is 1 fourth of an hour so you divide 80 by 4 to get 20
Answer:
x=2
Step-by-step explanation:
The parallel lines divide the transversal into proportional segments that is

(cross multiply)
9(x+4)=54 (divide by both sides by 9)
x+4=6 (subtract 4 from both sides)
x=2
Answer:
The approximated length of arc x is 4 inches ⇒ C
Step-by-step explanation:
- The diameter of the outer circle is 28 inches
- There is a boundary with width 2 inches
That means the diameter of the inner circle is less than the diameter of the outer circle by 4 inches (2 in from each side)
- The diameter of the inner circle = 28 - 4 = 24 inches
The circumference of the inner circles formed from 20 congruent arcs of length x inches
- The circumference of the inner circle = 20 x
Now let us find x
The formula of the circumference of a circle is C = π d, where d is the diameter of the circle
∵ The diameter of the inner circle is 24 inches
∴ d = 24
∴ C = 24 π
∵ C = 20 x
- Equate 20 x by 24 π
∴ 20 x = 24 π
- Divide both sides by 20
∴ x = 3.769911184
- Round it to the nearest unit
∴ x ≅ 4
The approximated length of arc x is 4 inches