According to above figure, the angles (8x - 20)° and (5x + 37)° are pairs of vertical opposite angles, so
The given trinomial can be factored using the factorization method.
x² - 2x - 24
The middle term should be written is such a way that the sum of two terms is equal to the middle one and their product should be equal to the product of first and third term. So the above expression can be written as
= x² -6x + 4x - 24
= x(x-6) + 4(x-6)
= (x-6)(x+4)
Thus, (x-6)(x+4) is the factored form of the polynomial.
So the correct answer is option B
Answer:
-28 = x
Step-by-step explanation
[5x + 20] + [4x - 8] = 180
9x + 12 = 180
- 12 -12
______________
9x = 168
18⅔ = x
m∠EBC = 5[18⅔] + 20 = 113⅓
93⅓
You will get a negative answer if you set them equal to each other, which is not allowed when you are talking about <em>length</em><em>.</em>
I hope this is correct, and as always, I am joyous to assist anyone at any time.
<h3>
Step-by-step explanation:</h3>
<u>Pythagorus theorum:</u>
9² = 3² + YZ²
81 - 9 = YZ²
√72 = YZ
∴YZ= 8.48 ≈ 8.5
<u>Trigonometry:</u>
We have adjacent as 3, and hypotenuse as 9
cos X = 3/9
X= cos∧-1 (3/9) → <em>[cos inversed]</em>
∴X= 70.5°
We have opposite as 3 and hypotenuse as 9
sin Z= 3/9
Z= sin∧-1 (3/9)→<em> [sin inversed]</em>
∴Z= 19.47 ≈ 19.5
