The tree's height is 36 feet!
Work/explanation below:
1. The ratio of the boy's shadow to height is 4 : 6 or 1 : 1.5.
2. Plug the tree's shadow into the ratio and you have 24 : 24 X 1.5
3. 24 X 1.5 = 36.
Hope that helped!
:D®
The value of x in order for the two slats to be parallel is 6.
The measure of the indicated angle is 42°
What is an angle?
The angle is the measure of how inclined are the two surfaces, or lines with respect to each other.
For the slats to be parallel. both the given angles must be equal
So,
(3x +24)° = 7x°
Solving this expression, we get
7x -3x = 24
4x =24
x = 6°
The measure of the indicated angle is
(3x +24)° = 3x6 +24
(3x +24)° = 18+24
(3x +24)° =42°
and 7x = 7x6 =42°
Thus, the measure of the angle is 42°
Learn more about angle.
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Answer:
Price of a senior citizen ticket is $4 and price of a student ticket is $15 .
Step-by-step explanation:
Let us assume that the price a senior citizen ticket be x .
Let us assume that the price a student citizen ticket be y .
As given
The school that Jack goes to is selling tickets to a choral performance.
On the first day of ticket sales the school sold 9 senior citizen tickets and 8 student tickets for a total of $156.
Equtaions becomes
9x + 8y = 156
As given
The school took in $163 on the second day by selling 7 senior citizen tickets and 9 student tickets.
Equations becomes
7x + 9y = 163
Multipy 9x + 8y = 156 by 9 .
81x + 72y = 1404
Multiply 7x + 9y = 163 by 8 .
56x + 72y = 1304
Subtracted 56x + 72y = 1304 from 81x + 72y = 1404 .
81x - 56x + 72y - 72y = 1404 - 1304
25x = 100

x = $ 4
Putting value of x in the 56x + 72y = 1304 .
56 × 4 + 72y = 1304
224 + 72y = 1304
72y = 1304 - 224
72y = 1080

y = $15
Therefore the price of a senior citizen ticket is $4 and price of a student ticket is $15 .
Answer:
paperclip, thumbtack, or safety pin.
Step-by-step explanation:
I measured some.