Answer:
The required numbers are: 36, 40, 44
Step-by-step explanation:
Let first number = 4x
Second number = 4(x+1)
Third number = 4(x+2)
There sum = 120
We need to find the numbers
We can write:
So, we get x = 9
Now, finding the numbers:
first number = 4x = 4(9) =36
Second number = 4(x+1) = 4(9+1) = 4(10) = 40
Third number = 4(x+2) = 4(9+2) = 4(11) = 44
So, The required numbers are: 36, 40, 44
He must walk 1.45 more kilometers.
1050 meters and 500 meters add are 1550 meters.
1550 meters then convert to 1.55 kilometers.
You subtract 1.55 from 3 and get 1.45 kilometers.
Answer:
- 12.5 ounces of 12% alloy
- 37.5 ounces of 24% alloy
Step-by-step explanation:
Let x represent the amount (in ounces) of 24% alloy in the mix. Then the amount of 12% alloy is (50 -x). The amount of silver in the mix is ...
24%·x + 12%·(50 -x) = 21%·50
12x = 450 . . . . . . simplify, multiply by 100 (to eliminate %), and subtract 600
x = 37.5 . . . . . . . divide by 12
The jeweler needs to mix 37.5 ounces of 24% silver alloy with 12.5 ounces of 12% silver alloy to make 50 ounces of 21% silver alloy.
Answer: Tiffany can be certain the trapezoids are congruent.
Step-by-step explanation: Two figures are <u>congruent</u> when their corresponding angles are equal and they have the same shape and size.
A figure can go thorugh 3 types of transformations:
- <em>Rotation</em>: the figure is turned around a fixed point;
- <em>Reflection</em>: is created by fliping over the figure over a line;
- <em>Translation</em>: move the figure to another location, without changing its size;
As long the figure doesn't change its size or shape, it doesn't matter if it's rotated, reflected or translated, they will be congruent.
When the trapezoid was rotated creating another one, the two shapes didn't change its size or shape, so Tiffany can be certain they are congruent.
Your answer is (in my opinion): 11.7in wide.
Just becuse the hight changed it does NOT mean that the width changed.
