Answer:
The triangles are congruent by Angle Side Angle congruency statement and the reason is below.
Step-by-step explanation:
Given:
∠ VUW ≅ ∠ XYW
VW ≅ YW
To Prove:
Δ VUW ≅ Δ XYW
Proof:
In Δ VUW and Δ XYW
∠ VUW ≅ ∠ XYW ……….{Given}
VW ≅ YW ............{Given}
∠ VWU ≅ ∠ XWY …………..{Vertically Opposite Angles are equal}
Δ VUW ≅ Δ XYW .….{ By Angle-Side-Angle congruence test}
......Proved
I hope this helps you
✔cos^2A+sin^2A=1
✔1-cos^2A=sin^2A
✔cos2A=cos^2A-sin^2A
✔sin2A=2.sinA.cosA
secA=1/cosA
tgA=sinA/cosA
sin^2A/1/cos^2A-sin^2A/cos^2A
sin^2A.cos^2A/cos2A
2.sin^2A.cos^2A/cos2A
sin2A.2.sin2A/cos2A
tg2A.2.sin2A
Answer:
5% compounded quarterly equals (1.0125)^4 -1=0.0509453369140625 or 5.09453369140625 % APR
250*(1.0125)^20=$320.51 at the end of 5 years
Step-by-step explanation:
Step-by-step explanation:
Perimeter of figure
![= 5 + 2 \times 7 + \pi \: r \\ = 5 + 14 + 3.14 \times 5 \\ = 19 + 15.70 \\ = 34.70 \: in \:](https://tex.z-dn.net/?f=%20%3D%205%20%2B%202%20%5Ctimes%207%20%2B%20%20%5Cpi%20%5C%3A%20r%20%5C%5C%20%20%20%3D%205%20%2B%2014%20%2B%203.14%20%5Ctimes%205%20%5C%5C%20%20%3D%2019%20%2B%2015.70%20%5C%5C%20%20%3D%2034.70%20%5C%3A%20in%20%5C%3A%20)
Answer:
![v=\frac{48}{5}=9\frac{3}{5} \\](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B48%7D%7B5%7D%3D9%5Cfrac%7B3%7D%7B5%7D%20%5C%5C%20)
Step-by-step explanation:
![\frac{8}{5}=\frac{v}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B5%7D%3D%5Cfrac%7Bv%7D%7B6%7D)
Swap sides:
![\frac{v}{6}=\frac{8}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bv%7D%7B6%7D%3D%5Cfrac%7B8%7D%7B5%7D)
Multiply to both sides by 6:
![\frac{v}{6}\cdot6=\frac{8}{5}\cdot6](https://tex.z-dn.net/?f=%5Cfrac%7Bv%7D%7B6%7D%5Ccdot6%3D%5Cfrac%7B8%7D%7B5%7D%5Ccdot6)
Group like terms:
![\frac{1}{6}\cdot6v=\frac{8}{5}\cdot6](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D%5Ccdot6v%3D%5Cfrac%7B8%7D%7B5%7D%5Ccdot6)
Simplify the fraction:
![v=\frac{8}{5}\cdot6](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B8%7D%7B5%7D%5Ccdot6)
Multiply the fractions
![v=\frac{8\cdot6}{5}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B8%5Ccdot6%7D%7B5%7D)
Simplify the arithmetic:
![v=\frac{48}{5}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B48%7D%7B5%7D)