9514 1404 393
Answer:
x = 10; WX = 5; HJ = 10
Step-by-step explanation:
The hash marks indicate that points W and X are midpoints of their respective segments. That makes WX a midline of the triangle. The midline is always half the length of the base (HJ). We can use this fact to write an equation relating the lengths.
HJ = 2·WX
x = 2(x -5) . . . .substitute the given expressions
x = 2x -10 . . . . eliminate parentheses
10 = x . . . . . . . add 10-x to both sides
This value of x tells you that ...
HJ = x = 10
WX = x -5 = 5
Answer:
Step-by-step explanation:
As we use prime factorization for 200, we get 2 × 2 × 2 × 5 × 5 = 200. So, the only prime factors of 200 are 2 and 5.
Let time=t
30 seconds slower means we have to subtract from the Godfrey's time.
So algebraic expression is:
t - 30
Answer: t - 30
To solve this problem you must apply the proccedure shown below:
1. Let's call:
x the first number and and the other number 46-x
2. Then, the product of both numbers is:
y=x(46-x)
3. When you apply the distributive property, you obtain:
y=46x-x^2
4. As you can see, the coefficient of x^2 is negative, this means that the maximun value is at the vertex of the parabola.
5. Then, you have:
h=-b/2a
h=-46/2(-1)
h=23 (x coordinate)
6.Then:
y=46x-x^2
y=46(23)-(23)^2
y=529
Therefore the answer is: 23 and 529.