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RideAnS [48]
3 years ago
10

Mr. Jensen said he would give as many kids as he could

Mathematics
1 answer:
sp2606 [1]3 years ago
3 0

Answer:

30 kids with some candy left over

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Let 40 x 55 = n. Which of the choices shown is also equal to n?
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D) (10 x 55) + (10 x 55) + (10 x 55) + (10 x 55)

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A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed
Anastasy [175]

Answer:

498 m

Step-by-step explanation:

The AAA theorem states that triangles are similar if all three corresponding angles are equal.

1. Compare triangles FHS and ILS

(a) Reason for similarity

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∠S is common.

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(b) Calculate SL

\begin{array}{rcl}\dfrac{SF}{SH} & = & \dfrac{SI}{SL}\\\\\dfrac{225}{380} & = & \dfrac{225 + 475}{SL}\\\\225SL & = & 380 \times 700\\& = & 266000\\SL & = & \textbf{1182 m}\\\end{array}

2. Compare triangles ILS and GLE

(a) Reason for similarity

∠I = ∠G = 90°

∠L is common.

∴ ∠S = ∠E

(b) Calculate LE

\begin{array}{rcl}\dfrac{IS}{GE} & = & \dfrac{LS}{LE}\\\\\dfrac{700}{180} & = & \dfrac{1182}{LE}\\\\700LE & = & 180 \times 1182\\& = & 212800\\LE & = & \textbf{304.0 m}\\\end{array}

3. Calculate EH

               LE + EH + HS = LS

304.0 m + EH + 380 m = 1182 m

                  EH + 684 m = 1182 m

                                 EH = 498 m

The distance from E to H is 498 m.

 

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