Answer:
234567
Step-by-step explanation:
Answer:
7200
Step-by-step explanation:
450 x 2 = 900
900 x 8 =7200
Answer:
Your answer is 4x + 18.
Step-by-step explanation:
QR = 5x - 3
RS = 21 - x
Now,
QS = QR + RS
= (5x - 3) + (21 - x)
= 5x - 3 + 21 - X
= 4x + 18 (Answer.)
Answer:
The length of the other leg of the triangle is
units.
Step-by-step explanation:
The Pythagorean Theorem says that: <em>If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
</em>
This relationship is represented by the formula:
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
where <em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse of the right triangle.
From the information given we know that one leg is 5 units and the hypotenuse is 8 units.
Applying the above formula and solving for <em>b</em> we get that
![5^2+b^2=8^2\\\\5^2+b^2-5^2=8^2-5^2\\\\b^2=39\\\\b=\sqrt{39}](https://tex.z-dn.net/?f=5%5E2%2Bb%5E2%3D8%5E2%5C%5C%5C%5C5%5E2%2Bb%5E2-5%5E2%3D8%5E2-5%5E2%5C%5C%5C%5Cb%5E2%3D39%5C%5C%5C%5Cb%3D%5Csqrt%7B39%7D)
<h3>
You have the correct answer. It is choice B. Nice work.</h3>
K is the midpoint, so
and
, and along with the congruent vertical angles (
and
), you would use the SAS (side angle side) congruence theorem to prove the inner pairs of triangles to be congruent.
So,
(top and bottom triangles) and
(left and right triangles).
Then through CPCTC, we can show the corresponding pieces are congruent leading to
and
showing the opposite sides of the quadrilateral are congruent. Therefore we do have a parallelogram and enough information to prove it as such.
Side note: CPCTC stands for "corresponding parts of congruent triangles are congruent".