<h3>
Answer: Choice 3) Triangle ACB = Triangle CAD</h3>
The reason why is because the order is important when it comes to congruent statements. I'm referring to the order of the letters of ACB and CAD.
Each answer choice has "ACB" in that exact order shown on the left hand side of each congruent statement. We have "A" listed first, then "C" next. In short, segment AC is the first thing mentioned of ACB. This means that we need to list out segment AC as the first thing for the other triangle as well, in order to have a match. Segment AC is the same as segment CA, which is the first segment mentioned in triangle CAD. That's why choice 3 is the answer.
Note how something like triangle CDA won't work since segment CD is listed first, which doesn't pair up with segment AC. This allows us to rule out the first answer choice. Choices 2 and 4 can be eliminated for similar reasons.
Put another way: let's assume choice 1 was the answer. That would mean that AC = CD as they are the first pair of letters of ACB and CDA respectively. But the diagram shows that AC = CD is not true; otherwise, the segments would have similar tickmarks to show they are the same length. This is an alternative way to see why choices 1, 2, and 4 can be crossed off the list.
Answer:
( d / c ) < ( a / d )
( b / d ) < ( a / d )
( d / a ) < ( a / d )
Step-by-step explanation:
For this problem, we need to consider the given information that a > b > c > d > 0. Note that a is the greatest number and that d is the least number.
Given this fact, we can create a fraction that will result in a maximum value by simply doing the following:
a / d
The reason the fraction ( a / d ) results in a maximum, is because of the given information where a is the furthest from 0, and d is the closest to 0. Therefore, we can say that no other combination will result in a value greater than ( a / d).
So in the three given statements, we have different combinations of fractions being compared to our maximum value fraction. Our maximum value fraction ( a / d ) will always be greater than any other combination.
Thus, we will choose the sign that makes ( a / d ) greater than the other choice fractions.
Cheers.
<h2>
Number of cups of corn starch required for the recipe = 12.5</h2>
Step-by-step explanation:
Total starch required = 5 cups
Measurement of measuring cup = 2/5 cups.
Number of cups required = Total starch required ÷ Measurement of measuring cup
Number of cups of corn starch required for the recipe = 12.5
The length of the table is 15.14 inches.
- Let the length of the table be L.
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Let the width of the table be W.
<u>Given the following data:</u>
- Area of table = 108 square inches
Translating the word problem into an algebraic equation, we have;
W = L - 8
To find the length of the table;
Mathematically, the area of a rectangle is given by the formula;
Substituting the values into the formula, we have;
Solving the quadratic equation by using the quadratic formula, we have the following values;
L = 15.14 or -7.14
We would choose the positive value.
Therefore, the length of the table is 15.14 inches.
Read more: brainly.com/question/897975
To find the absolute value of a negative number, you can simply remove the negative. ., -235 turns into 235, and 235 is greater than 220.