1 Are the expressions equivalent? x + x + x + x and 4x.- yes or no 2. Are the expressions equivalent? 5x and x + 5.- yes or no
3. Jada’s dog was 5 and 1/2 inches tall when it was a puppy. Now her dog is 14 and 1/2 inches taller than that. How tall is Jada’s dog now?

4. Lin picked 9 and 3/4 pounds of apples, which was 3 times the weight of the apples Andre picked. How many pounds of apples did Andre pick?

5. 80% of x is equal to 100. Is the equation , 0.8x = 100, one way you can find the value of x?
yes or no

1. Yes

2. No

3. 20 feet tal

4. 29 1/4

5. yes

Step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

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step-by-step explanation:

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