Answer:
x = 2
Step-by-step explanation:
since both equal y, you can set them equal to each other
x + 4 = 3x + 0
subtract x on both sides
4 = 2x
divide by 2 on both sides
2 = x
♡♡ hope this helped ♡♡
Answer: D) vertical angles theorem, alternate interior angles theorem
Angle 5 = Angle 6 by the alternate interior angles theorem
Angle 5 = angle 4 by the vertical angles theorem
By the transitive property, we can then say angle 4 = angle 6. These angles are also corresponding angles.
We won't use the angle addition theorem or the right angles theorem.
1.6*100/0.95=168% 1.6 to 0.95
0.95*100/1.6=59% 0.95 to 1.6
For this case we must find the product of the following expression:
We combine using the product rule for radicals:
![\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%7D%20%2A%20%5Csqrt%20%5Bn%5D%20%7Bb%7D%20%3D%20%5Csqrt%20%5Bn%5D%20%7Bab%7D)
So, we have:
We rewrite the 216 as
By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20n%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bn%7D%20%7Bn%7D%7D%20%3D%20a)
Then, the expression is:
Answer:
Option D
Answer:
91
Step-by-step explanation:
Two similar polygons, means a similarity would exist in both polygons
- Perimeter of a rectangle = 2(l +w)
- Perimeter of the larger rectangle = 36 (because it's the largest figure)
- equation becomes 36 = 2(L + W)
- since L = 14, it becomes = 36 = 2(14 +W)
- 36 = 28 + 2W
- 2W = 36 - 28 = 2w = 8
Now we assume that since the rectangles are similar, they would have similar dimensions, in this case Width. so with this, we find length of smaller rectangle.
- 21 = 2(L + 4) = 21 = 2L + 8
lastly the product of the length of both polygons = 14 * 6.5 = 91.
Their Products length is 91
