When triangles are congruent, one triangle can be moved (through one, or more, rigid motions) to coincide with the other triangle.
Answer:
(a) (4, -6)
Step-by-step explanation:
Try the values in the inequality and see which gives a true statement.
a) -3(4) +6 ≥ 5(-6) ⇒ -6 ≥ -30 . . . . true for (4, -6)
b) -3(2) +6 ≥ 5(3) ⇒ 0 ≥ 15 . . . . FALSE for (2, 3)
c) -3(-1) +6 ≥ 5(10) ⇒ 9 ≥ 50 . . . . FALSE for (-1, 10)
d) -3(6) +6 ≥ 5(-2) ⇒ -12 ≥ -10 . . . . FALSE for (6, -2)
Of course, if you're expecting only one right answer, you can stop after you found it.
9514 1404 393
Answer:
7 times
Step-by-step explanation:
Each meal weighs (24 oz)/(16 oz/lb) = 1.5 lb. The number of meals to be delivered each day is ...
(34.5 lb/day)/(1.5 lb/meal) = 23 meals/day
If we assume that meals can remain in the car from one day to the next, we only need to compute the total number of loads in 4 days.
(23 meal/day)(4 days)/(15 meals/load) = 6 2/15 loads/4-days
That is loading the car 6 times is not enough. They need to load the car 7 times in 4 days.
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If we assume that meals cannot remain in the car from one day to the next, then the car must be loaded 2 times per day. That's 8 times in 4 days.
The answer depends on your assumptions about loading the car.
Answer:
#5: y-intercept is (0,3) and slope is m=2.5.
#6: y-int. is (0,4.5) and slope is -0.25.
#7: y-int. is (0, 6/5) and slope is 2/5.
Step-by-step explanation:
When you see the term "y-intercept," think "x = 0." x = 0 is the equation of the y-axis, a vertical line. In the problems you've shared here, you have three tables of x- and y-values. Each table happens to have the value "0" and a corresponding y-value. In each case that y-value is the y-intercept.
Table #5: When x = 0, y = 3. Thus, the y-intercept is 3, or (0,3) Note that if x increases by 1 from 0 to 1, y increases by 2.5 from 3 to 5.5. The slope, m, is therefore rise / run = 2.5/1, or just 2.5.