Answer:
£ 7.95
Step-by-step explanation:
Let the total money = £ x
Money spend on drinks and cake = 1.45 + 1.20 = £ 2.65
Money left with her = (2/3) of x
So, money spend = (1/3) of x
![\dfrac{1}{3}*x= 2.65\\\\\\x=2.65*3\\\\](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%2Ax%3D%202.65%5C%5C%5C%5C%5C%5Cx%3D2.65%2A3%5C%5C%5C%5C)
x = £ 7.95
Parallel lines has equal slopes.
Line y = 3x + 2 has a slope of 3.
Required equation is y - 8 = 3(x - 5)
y = 3x - 15 + 8
y = 3x - 7
Answer:
x equals six start fraction one over two end fraction
Step-by-step explanation:
Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.
Slope of YZ is:
![m = \frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{2-5}=\frac{-4}{-3}=\frac{4}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B2-6%7D%7B2-5%7D%3D%5Cfrac%7B-4%7D%7B-3%7D%3D%5Cfrac%7B4%7D%7B3%7D)
Since they are parallel, then WX has a slope of 4/3 too.
Slope of WX is:
![m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3}=\frac{-2--4}{x-5}\\\\\frac{4}{3}=\frac{2}{x-5}\\\\\frac{4}{3} (x-5) = 2\\\\4x -20=6\\\\4x = 26\\\\x = 6\frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cfrac%7B4%7D%7B3%7D%3D%5Cfrac%7B-2--4%7D%7Bx-5%7D%5C%5C%5C%5C%5Cfrac%7B4%7D%7B3%7D%3D%5Cfrac%7B2%7D%7Bx-5%7D%5C%5C%5C%5C%5Cfrac%7B4%7D%7B3%7D%20%28x-5%29%20%3D%202%5C%5C%5C%5C4x%20-20%3D6%5C%5C%5C%5C4x%20%3D%2026%5C%5C%5C%5Cx%20%3D%206%5Cfrac%7B1%7D%7B2%7D)
If it’s silver and greater than 1 it would be a quarter
2. Definition of perpendicular lines
3. Given
4. SD and DS are congruent
5. HL theorem