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Irina18 [472]
2 years ago
11

On Monday, a local hamburger shop sold a combined total of 408 hamburgers and cheeseburgers. The number of cheeseburgers sold wa

s three times the number of hamburgers sold. How many hamburgers were sold on Monday?
Mathematics
2 answers:
nikdorinn [45]2 years ago
7 0

Answer:

I'm pretty sure the answer would be 102

Step-by-step explanation:

you divide 408 by 4 because the cheeseburgers sold 3x as much as the hamburgers.

Tanzania [10]2 years ago
3 0
102 hamburgers sold
306 cheeseburgers sold

h = hamburgers
c = cheeseburgers

c = 3h (number of cheeseburgers sold was three times the number of hamburgers sold)

c + h = 408

Substitute in the fact that c = 3h to the other equation:

3h + h = 408
4h = 408
h = 102

3h = 3(102) = 306

Check the math: 306 + 102 = 408
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How do I find each measure? Please I need answers ASAP it's due at 1:50
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Answer:

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Explanation:

29. Triangle ADC is an isosceles triangle because it has two equal sides.

If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.

Let x be angle CAD.

Let's go ahead x;

\begin{gathered} 92+x+x=180\text{ (sum of angles in a triangle)} \\ 92+2x=180 \\ 2x=180-92 \\ 2x=88 \\ x=\frac{88}{2} \\ \therefore x=44^{\circ} \end{gathered}

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30. Measure of angle ACD is 44 degrees (Base angles of an isosceles triangle are equal)

31. Let angle ACB be y,

Let's go ahead and find measure of angle ACB;

\begin{gathered} 44+y=180\text{     (angles on a straight line)} \\ y=180-44 \\ \therefore y=136^{\circ} \end{gathered}

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32. Let angle ABC be z.

Triangle ACB is also an isosceles triangle so the base angles are the same.

Let's go ahead and find z;

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So measure of angle ABC is 22 degrees.

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