The Pythagorean's Theorem for our situation would look like this:

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

And of course we have to expand. Doing that will leave us with

Combining like terms we have

Our job now is to get everything on one side of the equals sign and solve for s

That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!
Answer: 2.1, I don't really know how to show a model for this, its just that when you multiply 3 and 7 you get 21, when you do 0.7 and 3, you just put the decimal place between the 2 and 1.
Answer:
congruent
Step-by-step explanation:
All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 540 degrees (from above)... And there are five angles... So, the measure of the interior angle of a regular pentagon is 108 degrees.
Answer:
The first table
Step-by-step explanation:
<em>the third and fourth table are incorrect because it says Jo bought </em><em>25 apples </em><em>in total but in the third and fourth table there are </em><em>35 apples </em><em>in total.</em>
<em>the second table is incorrect because it said </em><u><em>three of the 12 large apples were red. </em></u><em>In the second table its says 12 large apples when its supposed to say three and the total in 15 instead of 12.</em>
Answer: x = (cd + by) / a
Working out:
(ax - by) / c = d
1)Multiply by c on both sides to get:
ax - by = cd
2) Add by on both sides to get:
ax = cd + by
3) divide by a on both sides to get:
x = (cd + by) / a