Answer: QE = 10
Step-by-step explanation: To solve this problem, it's important to understand that the diagonals of a parallelogram bisect each other.
This means that E is the midpoint of diagonal SQ.
So we can setup the equation x² + 9x = 4x + 6.
To solve this polynomial equation, set it equal to zero first.
So we have x² + 5x - 6 = 0 and we get (x + 6)(x - 1) = 0
when we factor the left side of the equation.
So this means that x = -6 or x = 1.
However, -6 will give us a negative length when we plug it in
to find QE so this will not work.
However, plugging 1 in will give us 10 as a length so QE = 10.
Answer:
Step-by-step explanation:
We want to write the trignometric expression:
As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:
Take the secant of both sides:
Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:
By substitutition:
Using an double-angle identity:
We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:
Simplify. Therefore:
The greatest common factor of 21 and 40 is 1
Answer:
96
Step-by-step explanation:
First, you find the area of RPQ using 1/2×base×height. That is, 1/2×6×8. And the answer is 24. Then you multiply 24 by 4 to get the area of all the sides excluding the base to get 96.
Answer:
Step-by-step explanation:
j=k+4
k=3r
j=3r+4
j+k+r=46
3r+4+3r+r=46
7r+4=46
7r=42
r=6, since k=3r
k=18, since j=k+4
j=22
j,k,r=22,18,6
