The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation
![15x-2 = 13x+2](https://tex.z-dn.net/?f=%2015x-2%20%3D%2013x%2B2%20)
and solve it for x: subtract 13x from both sides to get
![2x-2=2](https://tex.z-dn.net/?f=%202x-2%3D2%20)
and add 2 to both sides to get
![2x = 4 \implies x = 2](https://tex.z-dn.net/?f=%202x%20%3D%204%20%5Cimplies%20x%20%3D%202%20)
Check: if we plug the value we found we have
![13\cdot 2 + 2 = 26+2 = 28 = 15\cdot 2 - 2 = 30-2](https://tex.z-dn.net/?f=%2013%5Ccdot%202%20%2B%202%20%3D%2026%2B2%20%3D%2028%20%3D%2015%5Ccdot%202%20-%202%20%3D%2030-2%20)
So the angles are actually the same, as requested.
12% error. To find out subtract the difference between the estimate and the actual amount sold and divide the difference by the estamite.
Answer:
Step-by-step explanation:
You have right triangles, so use the Pythagorean Theorem
x = length of diagonal
8² + 10² = x²
164 = x²
x = √164 = 2√41 ≅ 12.8 in
![{{\boxed{{\tt{\color{blue}{✎A\color{red}{n\color{green}{s\color{lime}{w\color{skyblue}{e\color{cyan}{r\color{blue}{\color{purple}{}}}}}}}}}}}}}](https://tex.z-dn.net/?f=%7B%7B%5Cboxed%7B%7B%5Ctt%7B%5Ccolor%7Bblue%7D%7B%E2%9C%8EA%5Ccolor%7Bred%7D%7Bn%5Ccolor%7Bgreen%7D%7Bs%5Ccolor%7Blime%7D%7Bw%5Ccolor%7Bskyblue%7D%7Be%5Ccolor%7Bcyan%7D%7Br%5Ccolor%7Bblue%7D%7B%5Ccolor%7Bpurple%7D%7B%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D)
Find f(-3) for f(x) = 4(2)^x
((−3)(4))(2)
=(−12)(2)
=−24
Answer:
32 ft²
Step-by-step explanation:
Assuming the diagram attached below similar to the one required to complete the question below.
From the diagram,
Actaul Area of a parallelogram (A) = Actual Base(b)× actual heigth(h)
A = bh.......................... Equation 1
From the question,
If each 6 in on the scale drawing equals 3 feet
Given:
base on the scale drawing = 8 in.
Actual base(b) = (8×3)/6 = 4 feet.
Height on the scale drawing = 16 in
Actual height(h) = (16×3)/6 = 8 feet.
Substitute these values into equation 1
A = 4×8
A = 32 ft²
Hence the actual area of the shape is 32 ft²