Answer:
x = 137
Step-by-step explanation:
Step-by-step explanation:
∠43° and ∠x° are same side exterior angles as they are on the same side as the transversal but outside the parallel lines. The 2 angles are supplementary, hence
x + 43 = 180 ( subtract 43 from both sides )
x = 137
Answer:
y=57 degrees and x=66 degrees
Step-by-step explanation:
123+57 =180 so angle y=57 degrees
57+57=114 all triangles = 180 degrees so 180-114=66 degrees=X
check the picture below.
if ∡F = 90° and ∡D = 30°, then the ∡A = 60°, meaning the triangle is a 30-60-90 triangle and therefore we can use the 30-60-90 rule as you see in the picture.
![\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=7\sqrt{3}\\ b=7 \end{cases}\implies A=\cfrac{1}{2}(7)(7\sqrt{3}) \\\\\\ A=\cfrac{49\sqrt{3}}{2}\implies A\approx 42.43524478543749369142](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20triangle%7D%5C%5C%5C%5C%0AA%3D%5Ccfrac%7B1%7D%7B2%7Dbh~~%0A%5Cbegin%7Bcases%7D%0Ab%3Dbase%5C%5C%0Ah%3Dheight%5C%5C%5B-0.5em%5D%0A%5Chrulefill%5C%5C%0Ah%3D7%5Csqrt%7B3%7D%5C%5C%0Ab%3D7%0A%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%287%29%287%5Csqrt%7B3%7D%29%0A%5C%5C%5C%5C%5C%5C%0AA%3D%5Ccfrac%7B49%5Csqrt%7B3%7D%7D%7B2%7D%5Cimplies%20A%5Capprox%2042.43524478543749369142)
Answer: b = 3
Step-by-step explanation:
1. a^2 + b^2 = c^2
2. 1.6^2 + b^2 = 3.4^2
3. 2.56 + b^2 = 11.56
4. 11.56-2.56 = b^2
5. 9 = b^2
6. 3 = b
