Answer:
It will take 10 hours.
Step-by-step explanation:
We know distance = rate * time
Sally's rate = 55
Jim's rate = 65
We want Jim to be 100 miles ahead of Sally
The time will always be the same.
d =Sally's distance
Sally
d = 55t
Jim
d+100 = 65 t
We know have 2 equations with 2 unknowns. Substitute d= 55t into Jim's equations
55t + 100 = 65t
Subtract 55t from both sides.
55t-55t + 100 = 65t-55t
100 = 10t
divide each side by 10
100/10 = 10t/10
10 = t
Julia has determined that CE is perpendicular bisector of AB. The next step of a valid proof would be: <em>B. AC = BC based on the </em><em>perpendicular bisector theorem</em>.
<h3>What is the Perpendicular Bisector Theorem?</h3>
The perpendicular bisector theorem states that if a point is located on a segment (perpendicular bisector) that divides another segment into two halves, then it is equidistant from the two endpoints of the segment that is divided.
Thus, since Julia has determined that CE is perpendicular bisector of AB, therefore the next step of a valid proof would be: <em>B. AC = BC based on the </em><em>perpendicular bisector theorem</em>.
Learn more about the perpendicular bisector theorem on:
brainly.com/question/2035717
The two in the middle. B and C, I guess.
Answer:
Evaluating Polynomials:
a. f(1) = -10
b. f(-3) = -239
c. f(2)² = 3125
Factoring Polynomials:
a. (x + 1)(x² - 5x + 6) = (x + 1)(x - 3)(x - 2)
b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)
c. x³ + 3x² - 4x - 12 = (x + 3)(x - 2)(x + 2)(x - 2)(x + 2)
<t =33 since triangle RUT is isosceles (RU = TU)
<r + <u + <t = 180 triangle = 180
33 + <u + 33 = 180
66 + <u = 180
< u =114
<rus = < sut from the diagram
<rus + <sut = <u
x + x = 114
2x = 114
divide by 2
x = 57
