Answer:
82% and 82/100 (or 41/50)
Step-by-step explanation:
multiply 100 times .82 to get the percent
.82 is 82/100
Cleo would be 193 years old when Clara turns 38
Answer:
a) Infinite solutions
b) No solutions
Step-by-step explanation:
First, know the following:
If the graphs intersect, there's only one solution.
If the graphs are parallel, there are no solutions.
If the graphs are the exact same line, there are infinite solutions.
For a):
Change the first equation into a linear one.
Change the second equation into a linear one.
- 4x+6y=12
- 6y=-4x+12

Boom. You have two equations which are equal. As stated above, graphs on the exact same line have infinite solutions.
For b)
They are already in linear form so hurray.

These lines are parallel since they have the SAME slope but a different y-intercept. As stated above, parallel lines have no solutions.
Answer:
CD = √11 and CE = √11
Step-by-step explanation:
We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.