Answer:
First Screen:
1 & 3
Second Screen::A
Step-by-step explanation:
HOPE THIS HELPS!!
Answer:
Step-by-step explanation:
Given: i. AB||DE
ii. AC≅DC
Prove: ΔABC≅ΔDEC
From the two triangles, it can be observed that;
m<BAC≅m<EDC (alternate angles)
m<ABC≅m<DEC (alternate angles)
m<BCA≅m<ECD (vertically opposite angles)
m<BAC + m<ABC + m<BCA = m<EDC + m<DEC + m<ECD =
(sum of angles in a triangle)
Since the three angles of the triangles are congruent respectively, then;
ΔABC≅ΔDEC (AAA congruence property)
Answer:
a. {(0, 7), (-1, 6)}
Step-by-step explanation:
![y = x^{2} +2x+7\\y=x+7](https://tex.z-dn.net/?f=y%20%3D%20x%5E%7B2%7D%20%2B2x%2B7%5C%5Cy%3Dx%2B7)
subtract the equations
![y = x^{2} +2x+7 \\- \ \ \ \ \ y=x+7\\y - y =x^{2} +2x+7-(x+7)\\0=x^{2} +x\\x = 0 \ and \ x= -1](https://tex.z-dn.net/?f=y%20%3D%20x%5E%7B2%7D%20%2B2x%2B7%20%5C%5C-%20%20%20%20%20%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%20y%3Dx%2B7%5C%5Cy%20-%20y%20%3Dx%5E%7B2%7D%20%2B2x%2B7-%28x%2B7%29%5C%5C0%3Dx%5E%7B2%7D%20%2Bx%5C%5Cx%20%3D%200%20%5C%20and%20%5C%20x%3D%20-1)
for
, substitute x = 0
![y = (0)^{2} +2(0)+7\\y = 0 +0+7\\y=7](https://tex.z-dn.net/?f=y%20%3D%20%280%29%5E%7B2%7D%20%2B2%280%29%2B7%5C%5Cy%20%3D%200%20%2B0%2B7%5C%5Cy%3D7)
for
, substitute x = 0
![y = (-1)^{2} +2(-1)+7\\y = 1 -2+7\\y=6](https://tex.z-dn.net/?f=y%20%3D%20%28-1%29%5E%7B2%7D%20%2B2%28-1%29%2B7%5C%5Cy%20%3D%201%20-2%2B7%5C%5Cy%3D6)
*18.20$ *
350x.20=70
350-70=280
180x.065=18.20
Answer:
she spent $137.41
Step-by-step explanation:
175 - 37.59 = $137.41