ΔAGF ≅ ΔCGE because they are both created from perpendicular diagonals that are intersected at the midpoint by line FE.
<h3>What are Perpendicular lines?</h3>
A perpendicular line is a straight line that is at right angle with another line. That is both lines intersect each other at right angles.
Lines EG and FG are ≅ because the are dissected by a line that runs through the diagonal of rectangle ABCD
Lines JK ≅ HL because they are both created by parallel lines JL and HI.
Learn more about Perpendicular Lines at:
brainly.com/question/13657035
#SPJ1
Answer:
15x^3 + 6x^2
Step-by-step explanation:
5x^2+8x^3+7x^3+x^2
Combine like terms
8x^3+7x^3+x^2 + 5x^2
15x^3 + 6x^2
To be in standard form, we write from highest power to lowest power
Answer:
138.16 square feet
Step-by-step explanation:
The surface area of the cylinder consists of one rectangle and two circles.
1. The radius of the circle is 4 ft, then the area of the circle is
![A_{circle}=\pi r^2 =\pi \cdot 4^2 =16\pi \ ft^2](https://tex.z-dn.net/?f=A_%7Bcircle%7D%3D%5Cpi%20r%5E2%20%3D%5Cpi%20%5Ccdot%204%5E2%20%3D16%5Cpi%20%5C%20ft%5E2)
2. The width of the rectangle is 1.5 ft, the length of the rectangle is the circumference of the circle.
Find the circumference:
![C=2\pi r=2\pi \cdot 4=8\pi \ ft](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r%3D2%5Cpi%20%5Ccdot%204%3D8%5Cpi%20%5C%20ft)
Hence,
![A_{rectangle}=1.5\cdot 8\pi =12\pi \ ft^2](https://tex.z-dn.net/?f=A_%7Brectangle%7D%3D1.5%5Ccdot%208%5Cpi%20%3D12%5Cpi%20%5C%20ft%5E2)
3. The surface area of the cylinder is
![SA=2A_{circle}+A_{rectangle}=\\ \\=2\cdot 16\pi +12\pi =32\pi +12\pi =44\pi \approx \\ \\\approx 44\cdot 3.14=138.16\ ft^2](https://tex.z-dn.net/?f=SA%3D2A_%7Bcircle%7D%2BA_%7Brectangle%7D%3D%5C%5C%20%5C%5C%3D2%5Ccdot%2016%5Cpi%20%2B12%5Cpi%20%3D32%5Cpi%20%2B12%5Cpi%20%3D44%5Cpi%20%5Capprox%20%5C%5C%20%5C%5C%5Capprox%2044%5Ccdot%203.14%3D138.16%5C%20ft%5E2)
Ignore that first answer, the answer is C
0.99p+0.88g=15
p is the variable for pound of lollipop, and each pound costs 0.99, the same thing for gummy bears, variable g and cost per pound being 0.88
The highest she wants to pay is 15, so the equation equals 15