Answer:
price for senior citizen is $11
price for child ticket is $8
16 ft
Explanation
Step 1
because the ligth comes in the same angle, we have 2 similar triangles .
so,as the triangles are similar,the ratio of the shorter leg to the bigger leg must be equal.
![\begin{gathered} ratio=\frac{shorter\text{ leg}}{\text{bigger leg}} \\ ratio1=ratio2 \\ \frac{h}{24}=\frac{4}{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20ratio%3D%5Cfrac%7Bshorter%5Ctext%7B%20leg%7D%7D%7B%5Ctext%7Bbigger%20leg%7D%7D%20%5C%5C%20ratio1%3Dratio2%20%5C%5C%20%5Cfrac%7Bh%7D%7B24%7D%3D%5Cfrac%7B4%7D%7B6%7D%20%5Cend%7Bgathered%7D)
Step 2
solve for h
![\begin{gathered} \frac{h}{24}=\frac{4}{6} \\ \text{cross multiply} \\ 6\cdot h=4\cdot24 \\ 6h=96 \\ \text{divide boths} \\ \frac{6h}{6}=\frac{96}{6} \\ h=16 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7Bh%7D%7B24%7D%3D%5Cfrac%7B4%7D%7B6%7D%20%5C%5C%20%5Ctext%7Bcross%20multiply%7D%20%5C%5C%206%5Ccdot%20h%3D4%5Ccdot24%20%5C%5C%206h%3D96%20%5C%5C%20%5Ctext%7Bdivide%20boths%7D%20%5C%5C%20%5Cfrac%7B6h%7D%7B6%7D%3D%5Cfrac%7B96%7D%7B6%7D%20%5C%5C%20h%3D16%20%5Cend%7Bgathered%7D)
therefore, the heigth of the tree is 16 ft
Answer:
y = 3x + 3
Step-by-step explanation:
First, you check for the y-intercept, which is 3 for this equation.
In order to find the slope, pick two points and apply the slope formula.
I would just use rise/run. The slope should be 3/1.
That answer is x≤−8
Inequality:
8x−8≤−72
Step number 1: You have to Add 8 to both sides.
8x−8+8≤−72+8
8x≤−64
Step number 2: You have to Divide both sides by 8.
8x
/8 ≤ −64
/ 8
Ur Answer:
x≤−8
Hope this helps :)