X2 = y
i believe :)
hope this helped!
Answer:
6 years
Step-by-step explanation:
6 = ⅕m
m = 30
"mother's age will be three times greater than daughter's age"—Not sure what "three times greater than" means. I will interpret it as: "mother's age will be three times daughter's age."
In x years, mother will be 30+x and the daughter will be 6+x.
30+x = 3(6+x) = 18+3x
12 = 2x
x = 6
In 6 years, the mother will be 36 and the daughter will be 12.
Here's some guidelines to help you:
For 1, 4, 5, and 6, they are 30-60-90 triangles. What's that you may ask? Well, it means that the sides have a predetermined length when one side is given. In #1 for example, you have a side of 11sqrt3, this means that "n" is 11 because in a 30-60-90 triangle, the longer side is the sqrt3 times the length of the shorter side. So to get the shorter side, we divide by sqrt3 to get 11. "m", or the hypotenuse, can be determined by taking twice the length of the shorter side. Since we figured out earlier that the shorter side is 11, 11 times 2 is 22. So the answer for #1 is n=11, m=22.
For 2 and 3, they are 45-45-90 triangles, triangles where the two lengths are the same and the hypotenuse is either leg length times sqrt2. In problem #2 for example, "y" must be 17 because one leg length is 17. "x", or the hypotenuse, is equal to 17sqrt(2) because 17 times sqrt(2).
You can apply all these rules to the other 4 problems I didn't explain.
Hope this long explanation clears your doubts!
Answer:
B
Step-by-step explanation:
GI is made up of the segments GH and HI. In other words:
We know that GH is 2 and GI is 7. Substitute:
Subtract 2 from both sides:
So, our answer is B.
And we're done!
