a) ABD and CBD are Supplementary angles and need to equal 180 degrees
Subtract 117 from 180 for CBD:
CBD = 180 - 117 = 63 degrees
b) In triangles the the shortest side would be opposite the shortest angle.
Since angle D is 56 degrees ( the smallest inside angle) then side BC would be the shortest side.
c) The side opposite the largest angle would be the longest.
Angle B is 63 degrees ( the largest) so side CD is the longest.
Answer:
1/2
Step-by-step explanation:
We have to follow the order of operations. Since there are no parenthesis or exponents, we do multiplication first. to multiple fractions, we multiply the two numerators (top parts), which in this situation would get us 5*1=5. Then, we multiply the two denominators (bottom parts), which would get us 8*2=16. then we put the first result over the second, and we get 5/16. since the two denominators are the same, we don't need to change anything. we can just add the numerator, and get 8/16, which simplifies to 1/2.
Answer:
Step-by-step explanation:
= x²(-3 +5) +y²(2 -3) +5xy -2y
= 2x² -y² +5xy -2y
a) there are 4 terms in the simplified expression
b) 2 terms have negative coefficients (-y² and -2y)
Answer:
The Answer is: x = 1.444 with repeating 4.
Step-by-step explanation:
212x - 34(2x + 5) = 38
212x - 68x - 170 = 38
212x - 68x = 38 + 170
144x = 208
x = 208/144 = 52/35 or 1.444
Proof:
212(1.444) - 34(2(1.444) + 5) = 38
306.128 - 34(7.888) = 38
306.128 - 268.192 = 37.936 or approximately 38
Hope this helps! Have an Awesome Day!! :-)
Answer:
Step-by-step explanation:
A(3,-2) ; B(6,-2)
![AB=\sqrt{(6-3)^{2}+(-2-[-2])^{2}}\\\\ =\sqrt{3^{2}+(-2+2)^{2}}\\\\=\sqrt{9+0}=\sqrt{9}\\\\](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%286-3%29%5E%7B2%7D%2B%28-2-%5B-2%5D%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B3%5E%7B2%7D%2B%28-2%2B2%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B9%2B0%7D%3D%5Csqrt%7B9%7D%5C%5C%5C%5C)
AB = 3 units
B(6,-2) ; C(6,5)
![BC=\sqrt{(6-6)^{2}+(5-[-2])^{2}} \\\\=\sqrt{0+(5+2)^{2}}\\\\=\sqrt{(7)^{2}}\\](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B%286-6%29%5E%7B2%7D%2B%285-%5B-2%5D%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%3D%5Csqrt%7B0%2B%285%2B2%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%287%29%5E%7B2%7D%7D%5C%5C)
BC = 7 units
Area of rectangle = length * width
= AB * BC
= 3 * 7
= 21 square units
