ANSWER
x=12, y=10
EXPLANATION
The diagonals of a parallelogram bisect each other.
This implies that;
AE=EC


Also, DE=EB;


Put equation (2) in (1).

Expand;



Put x=2, into equation (2).


Answer:
b/38,304
Step-by-step explanation:
when you multiple 252 times 157 you will get 38,304.
Answer: the answer is approximately 41.65428, not rounded (maybe re do all the steps just in case)
Step-by-step explanation:
1. label the space between X and W the unknown.
2. You will be using SOH-CAH-TOA
3. Label the X as the opposite because it is the opposite side of where your degree is located.
4. Label five as adjacent because it’s next to the degree.
5. You will use TOA since you have adjacent and opposite values.
6. Write the equation tan58=x/5, the unknown goes on the top because O is first, the five goes on the bottom because A is last on TOA.
7. After you have the equation time 5 on both sides leaving you out with (5)tan58=x
8. On your calculator time (5)tan58 which will give you x.
The answer to this question is D. 6 :)
Answer:
Step-by-step explanation:
Hypotenuse² =base² + altitude²
(3x + 4)² = (2x + 1)² + (3x)²
{Use (a+b)² = a² + 2ab + b²}
(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²
9x² + 24x + 16 = 4x² + 4x + 1 + 9x²
9x² + 24x + 16 = 13x² + 4x + 1
0 = 13x² + 4x + 1 - 9x² - 24x - 16
13x² - 9x² + 4x - 24x +1 - 16 = 0
4x² - 20x - 15 = 0
a = 4 ; b =-20 ; c = -15
D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640
√D = √640 = 25.30

x = 5 .66 ; x = -0.66
Ignore x = -0.66 as length of a side cannot be negative
Answer : x = 5.66