Please solve this Thanks

Mathematics

1 answer:

g100num [7]3 years ago

7 0

13.) 2.6 + 10.4 = x
14.) x = 13 liters
15.) The solution represents how much water the container now have.
(I’m sorry if my english is bad, but I hope this helps!)

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determine whether each traingle is s right traingle. justify your answer. show your work on a separate piece of paper 24 m 143 m

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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

∠F = ∠I = 90°

∠S is common.

∴ ∠H = ∠L

(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

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