Answer:
Perimeter: 310 units
Step-by-step explanation:
If x=4 and y=5, then the measure of the lengths would be..
8y+19= 8(5)+19= 59
8x+64= 8(4)+64= 96
13y-6= 13(5)-6= 59
16x+32= 16(4)+32= 96
To check if all these measurements are congruent, we can see if they match up with the measure of their parallel line, which they do in this case because 59=59
96=96
To find the perimeter of any shape, we add all the side lengths together
59+59+96+96= 310
<em>Hope I was able to help! Good Luck!</em>
<em />
If all the angles are 60 degrees, this is an equilateral triangle. This means that all the sides have the same lengths. Whatever length side a is, b and c have the same length.
Hope this helps :)
Answer:
2 sqrt(5) OR 4.5
Step-by-step explanation:
You have to know Pythagorean theorem to solve this question.
a^2 + b^2 = c^2
To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:
b^2 + 8^2 = 10^2
But it would've come out the same. The unlabeled side is 6.
We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.
4^2 + x^2 = 6^2
16 + x^2 = 36 subtract 16 from both sides.
x^2 = 20
Take the square root of both sides.
sqrt (x^2) = sqrt 20
x = 2 sqrt(5) which is approximately 4.472.
2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.
Answer:
The answer is B that is the answer
