Answer:
Step-by-step explanation:
light blue, 4,6,8
If triangle STU ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.
Let's understand what is the congruence of the triangle.
If all three corresponding sides are equal and all three corresponding angles are identical in measure, two triangles are said to be congruent. These triangles can be moved, rotated, flipped, and turned to look exactly the same.
CPCTC stands for corresponding parts of congruent triangles are congruent.
Let's check in the triangle STU and triangle ABC;
triangle STU ≅ triangle ABC
So,
∠S ≅ ∠A
∠T ≅ ∠B
∠U ≅ ∠C
segment ST ≅ Segment AB
segment TU ≅ Segment BC
segment SU ≅ Segment AC
Thus, if triangle STU ≅ triangle ABC, then ∠T ≅ ∠B, ∠S ≅ ∠A, and segment TU ≅ Segment BC are true by CPCTC. Option A, option B, and option D are correct.
To learn more about the congruence of the triangle visit:
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1) Experimental probability of drawing a Club = 9 / 40
The experimental probability is the probability of the event occurring in the experiment. You use your results to find the experimental probability. This is over the total amount of trials. In this experiment, 9 clubs were drawn. Thus, the experimental probability of drawing a club is 9 / 40.
2) Relative frequency of drawing a Spade = 1 / 5
Relative frequency is the same as experimental probability. You use your results and set the experiment number over the total number of trials. Thus, the relative frequency of drawing a Spade is 8 / 40, or 1 / 5.
3) Theoretical probability of drawing a Heart = 1 / 4
The theoretical probability is the expected probability. There are 13 hearts out of a full deck of 52 cards. Thus, the theoretical probability of drawing a heart is 13 / 52 or 1 / 4.
4) Theoretical probability of drawing a Club or Diamond = 1 / 2
The theoretical probability is the probability that is expected. In this scenario, it will be the number of clubs plus the number of diamonds in a deck of cards over the total number of cards in a full deck. And, or means that either probability could occur and we should add. Thus, the theoretical probability of drawing a club or diamond is 26 / 52 or 1 / 2.
5) The difference between experimental and theoretical probability is that experimental probability is the probability of an event occurring based on your experiment and results. The theoretical probability is the expected probability of an event occurring. It is not based on your experiment, and in a completely fair experiment, would be the probability of an event occurring. For example, flipping a coin. The theoretical probability of getting heads when you flip a coin is 0.5. But say in your experiment of 50 trials you get heads 15 times. The experimental probability would be 15 / 50.
Hope this helps!! :)
Answer x=1/5
6x-3=-9x
-3=-15x
-3/-15x=1/5
9514 1404 393
Answer:
2876 books
Step-by-step explanation:
If we let y1 and y2 represent the costs from method 1 and method 2, then we have, for x books published, ...
y1 = 12841 +24.25x
y2 = 48072 +12x
These costs will be equal when ...
y1 = y2
12841 +24.25x = 48072 +12x
12.25x = 35231 . . . . . . . . . . . . . subtract 12841+12x
x = 2876 . . . . . . . . . . divide by 12.25
The costs will be the same for production of 2876 books.
