A boy stands 1 meter away from a lamppost. He is 1.8 meters tall and casts a shadow 2 meters long in the light from the lamp
The diagram is attached below using the given information
We have two similar triangle
Triangle ACD is similar to triangle ABE. So the sides are in proportional
AC = AB + BC = 3m
2x = 1.8 * 3 (cross multiply)
2x = 5.4
Divide by 2 on both sides
x = 2.7
Height of Lamppost is 2.7 meter
Answer:
y=110 because the angles correspond
x=55 because they are verticals angles and are congruent so you set them equal to each other
Explanation:
2x=110
x=55
9514 1404 393
Answer:
- 19 ≤ 19 . . . true
- 19 < 19 . . . false
- x = 9
Step-by-step explanation:
A) A number cannot be less than itself, but can be equal to itself.
In each case, the left side of the inequality evaluates to 19:
4(5) -1 = 20 -1 = 19
It is true that 19 is less than or equal to 19. This is true because 19 = 19.
It is not true that 19 is less than 19. A number cannot be less than itself.
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B) 5x +2 = 47
5x = 45 . . . . . . subtract 2 from both sides
x = 9 . . . . . . . . . divide both sides by 5
The element 9 from the set is the solution to the equation.
Answer:
1/2 X + X -15 + 1/2 X + 100 + X -25 = 540
1/2x + x + 1/2x + x -15 + 100 -25 = 540
3 x + 60 = 540
3x + 60 - 60 = 540 - 60
3/3x = 480/3
x = 160
Step-by-step explanation:
1/2 X + X -15 + 1/2 X + 100 + X -25 = 540
1/2x + x + 1/2x + x -15 + 100 -25 = 540
3 x + 60 = 540
3x + 60 - 60 = 540 - 60
3/3x = 480/3
x = 160
A men's ball is about 9.55 inches<span> (</span>24.26 cm<span>) in diameter and a women's ball is </span>about 9.23 inches<span> (</span>23.44 cm<span>) in diameter.</span>
