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}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D%5Cdfrac%7BSF%7D%7BSH%7D%20%26%20%3D%20%26%20%5Cdfrac%7BSI%7D%7BSL%7D%5C%5C%5C%5C%5Cdfrac%7B225%7D%7B380%7D%20%26%20%3D%20%26%20%5Cdfrac%7B225%20%2B%20475%7D%7BSL%7D%5C%5C%5C%5C225SL%20%26%20%3D%20%26%20380%20%5Ctimes%20700%5C%5C%26%20%3D%20%26%20266000%5C%5CSL%20%26%20%3D%20%26%20%5Ctextbf%7B1182%20m%7D%5C%5C%5Cend%7Barray%7D)
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}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D%5Cdfrac%7BIS%7D%7BGE%7D%20%26%20%3D%20%26%20%5Cdfrac%7BLS%7D%7BLE%7D%5C%5C%5C%5C%5Cdfrac%7B700%7D%7B180%7D%20%26%20%3D%20%26%20%5Cdfrac%7B1182%7D%7BLE%7D%5C%5C%5C%5C700LE%20%26%20%3D%20%26%20180%20%5Ctimes%201182%5C%5C%26%20%3D%20%26%20212800%5C%5CLE%20%26%20%3D%20%26%20%5Ctextbf%7B304.0%20m%7D%5C%5C%5Cend%7Barray%7D)
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.
Answer:
15/6 pieces of pizza were eaten. Which is equivalent to 2.5. So 2.5 pizzas were eaten.
Step-by-step explanation:
Just did the math. Convert 4 1/3 to 0/6. So 1 times 2 is 2, and 3 times 2 is 6. Which would give you 4 2/6 which has the same denominator as 1 5/6.
Alright, so we have tickets for 8 dollars. The number of tickets can represent x, and the money totaled is 8x. x=16+17+13=46, so we can substitute that in to get 8*46 for the total revenue=368 dollars
Answer:
The equation of the graph in slope-intercept form is y = 3x + 7. 2. slope-intercept form is y = x + 2.
Answer: Linear pairs of angles add up to 180 degrees. A+B=180
Step-by-step explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees