Answer:
<h3>
x = 7 , y = 7√2</h3>
Step-by-step explanation:
The sum of measures of angles in triangle is 180°
so:
180° - 90° - 45° = 45°
two angles angles of the same measure, that means: x = 7
so:
![7^2+7^2=y^2\\\\y^2=7^2\cdot2\\\\y=\sqrt{7^2\cdot2}\\\\\bold{y=7\sqrt2}](https://tex.z-dn.net/?f=7%5E2%2B7%5E2%3Dy%5E2%5C%5C%5C%5Cy%5E2%3D7%5E2%5Ccdot2%5C%5C%5C%5Cy%3D%5Csqrt%7B7%5E2%5Ccdot2%7D%5C%5C%5C%5C%5Cbold%7By%3D7%5Csqrt2%7D)
Answer:
![v = \frac{15}{2}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B15%7D%7B2%7D%20)
Step-by-step explanation:
![1. \: v = \frac{2 \times 2 + 1}{2} \times 2 \times 1 \frac{1}{2} \\ 2. \: v = \frac{4 + 1}{2} \times 2 \times 1 \frac{1}{2} \\ 3. \: v = \frac{5}{2} \times 2 \times 1 \frac{1}{2} \\ 4. \: v = \frac{5}{2} \times 2 \times \frac{1 \times 2 + 1}{2} \\ 5. \: v = \frac{5}{2} \times 2 \times \frac{2 + 1}{2} \\ 6. \: v = \frac{5}{2} \times 2 \times \frac{3}{2} \\ 7. \: v = 5 \times \frac{3}{2} \\ 8. \: v = \frac{5 \times 3}{2} \\ 9. \: v = \frac{15}{2}](https://tex.z-dn.net/?f=1.%20%5C%3A%20v%20%3D%20%20%5Cfrac%7B2%20%5Ctimes%202%20%2B%201%7D%7B2%7D%20%20%5Ctimes%202%20%5Ctimes%201%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%5C%202.%20%5C%3A%20v%20%3D%20%20%5Cfrac%7B4%20%2B%201%7D%7B2%7D%20%20%5Ctimes%202%20%5Ctimes%201%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%5C%203.%20%5C%3A%20v%20%3D%20%20%5Cfrac%7B5%7D%7B2%7D%20%20%5Ctimes%202%20%5Ctimes%201%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%5C%204.%20%5C%3A%20v%20%3D%20%20%5Cfrac%7B5%7D%7B2%7D%20%20%5Ctimes%202%20%5Ctimes%20%20%5Cfrac%7B1%20%5Ctimes%202%20%2B%201%7D%7B2%7D%20%20%5C%5C%205.%20%5C%3A%20v%20%3D%20%20%5Cfrac%7B5%7D%7B2%7D%20%20%5Ctimes%202%20%5Ctimes%20%20%5Cfrac%7B2%20%2B%201%7D%7B2%7D%20%20%5C%5C%206.%20%5C%3A%20v%20%3D%20%20%5Cfrac%7B5%7D%7B2%7D%20%20%5Ctimes%202%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C%207.%20%5C%3A%20v%20%3D%205%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C%208.%20%5C%3A%20v%20%3D%20%20%5Cfrac%7B5%20%5Ctimes%203%7D%7B2%7D%20%20%5C%5C%209.%20%5C%3A%20v%20%3D%20%20%5Cfrac%7B15%7D%7B2%7D%20)
Answer:
36 and 25
Step-by-step explanation:
6 by 6 equals 36
5 by 5 equals 25