Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
Ratio and proportion
real:shadow
so the person is 1.8m but the shadow is 4m
so
real:shadow=1.8:4
so
1.8:4=?:14
1.8/4=?/14
times both sides by 14
25.2/4=?
6.3=?
the tree is 6.3 m tall
<h3><u>
Answer:</u></h3>
- This sentence is Equivalent
<h3><u>
Step-by-step explanation:</u></h3>
- 12:24::50:100
- => 12/24 = 50/100
- => 1/2 = 1/2
<h3><u>Conclusion:</u></h3>
Therefore, the sentence is Equivalent.
Hoped this helped.
√(-4-12)^2+(1-1)^2= √(-16)^2+0= √16^2=16
Answer is the last option: 16 units
Answer:
<em>The ball takes 5 seconds to hit the ground</em>
Step-by-step explanation:
The equation to model the height of a golf ball in time t is:
There are two moments when the height is zero: At launch time and when it hits the ground. To find the last time, we equate:
Factoring out t:
It gives us two solutions:
t=0
Solving:
t = 5 sec
Thus, the ball takes 5 seconds to hit the ground
