Answer:
c=6 They sold a total of 114 cans
Step-by-step explanation: The ratio is 7:12, so last week, he sold 42 cans, meaning that you need to divide 42 by to get 6 in order to figure out the amount Ellen sold last week. Then do 6 times 12 to get 72 cans sold for Ellen. Add 72 to 42 to get 114 cans sold in total.
The theorem that justifies why triangles ABC and DEF are congruent is: HL.
<h3>What is the Hypotenuse-Leg Congruence Theorem (HL)?</h3>
The hypotenuse-leg congruence theorem (HL) states that if two triangles that are right triangles have a pair of congruent hypotenuse and a pair of corresponding congruent legs, then both right triangles are proven to be congruent to each other. This means both right triangles are have the same shape and size.
Given that:
angle ABC = angle DEF = 90° (congruent right angles, this means both triangles are right triangles)
AC = FD (a pair of congruent hypotenuse)
AB = DE (a pair of congruent legs)
Thus, we can conclude that since triangle ABC and triangle DEF have a pair of congruent hypotenuses and a pair of congruent legs, therefore, the two right triangles, triangle ABC and triangle DEF are congruent to each other by the HL congruent theorem.
Thus, the theorem that justifies why both triangles are congruent is: HL.
Learn more about the HL congruence theorem on:
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The greatest value would be 45
Answer:
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Step-by-step explanation:
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