Answer:
Step-by-step explanation:
3x + 3 + 3x - 1 = 3x + 8
6x + 2 = 3x + 8
3x + 2 = 8
3x = 6
x = 2
HJ= 3(2) + 8 =6 + 8 = 14
HI= 3(2) - 1 = 6 - 1 = 5
IJ = 3(2) + 3 = 6 + 3 = 9
Answer:
Step-by-step explanation:
(-4,0) ; (-7, -14)
![d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%28-7-%5B-4%5D%29%5E%7B2%7D%2B%28-14-0%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%28-7%2B4%29%5E%7B2%7D%2B%28-14%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-3%29%5E%7B2%7D%2B%28-14%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B9%2B196%7D%20%5C%5C%5C%5C%3D%5Csqrt%7B205%7D%20%5C%5C%5C%5C%3D14.3178)
Answer:
9
Step-by-step explanation:
7 + 9 = 16
9 - 7 = 2
The larger number is 9
Hope that helps!
Answer:
Your answer is D.
Step-by-step explanation:
If you need explanation ask me in comment
Answer:
True
Step-by-step explanation:
The polygons given have 5 sides, so the sum of their interior angles is (5-2) * 180 = 540. Next, there are 4 pairs of corresponding sides. Writing those sides as a, b, c, and d, for each pentagon, we can write
540 = a + b + c + d + missing angle
540 = a + b + c + d + missing angle
As is shown here, if a, b, c, and d are the same, 540 - (a+b+c+d) = missing angle is the same as well. Therefore, there are 5 corresponding angle pairs for the two polygons. Furthermore, because there are only 5 angles for each polygon, and because having all corresponding angles be equal makes polygons similar to each other, the polygons given are similar
