Answer:
Step-by-step explanation:
<u>Right Triangles</u>
Right triangles have one of its interior angles with a measure of 90°.
In right triangles the Pythagora's Theorem is satisfied.
Being c the longest side (hypotenuse), a and b the shorter sides (the legs), then:
We have modified the image to include some known data. Both triangles are congruent since they share one side, have a right angle, and have the same base length.
This means the value of x can be calculated as the hypotenuse of the triangle 3-6-x:
Answer:
Game 2
Step-by-step explanation:
Each hit the points would double (point(x2))
Example:
1x2=2, 2x2=4, 4x2=8, 8x2= 16, 16x2=32, and so on.
4 x 3 = 12
12 would be the answer
taking 2 to the other side ⇒
= 5 x 2
3x=10
taking 3 to the other side ⇒ x =
x = 3.34
I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.
Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.
Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.
We want the concentration of antifreeze to be 40% in the new solution, so we need to have
(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4
Solve for <em>x</em> :
0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)
0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24
0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18
0.1 <em>x</em> = 6
<em>x</em> = 6/0.1 = 60 gal
