Answer:
Step-by-step explanation:
-5x² - 6 = -4x
-5x² + 4x - 6 = 0
a = -5 ; b = 4 ; c = -6
Discriminant = b² - 4ac
= 4² - 4*(-5)*(-6)
= 16 - 120
= -104
roots = 
![=\dfrac{-4+\sqrt{-104}}{2*(-5)};\dfrac{-4-\sqrt{-104}}{2*(-5)}\\\\=\dfrac{-4+2i\sqrt{26}}{-10} ; \dfrac{-4-2i\sqrt{26}}{-10}\\\\=\dfrac{(-2)[2-i\sqrt{26}]}{-10} \ ; \ \dfrac{(-2)[2+i\sqrt{26}]}{-10}\\\\=\dfrac{2-i\sqrt{26}}{5} \ ; \ \dfrac{2+i\sqrt{26}}{5}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B-4%2B%5Csqrt%7B-104%7D%7D%7B2%2A%28-5%29%7D%3B%5Cdfrac%7B-4-%5Csqrt%7B-104%7D%7D%7B2%2A%28-5%29%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-4%2B2i%5Csqrt%7B26%7D%7D%7B-10%7D%20%3B%20%5Cdfrac%7B-4-2i%5Csqrt%7B26%7D%7D%7B-10%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%28-2%29%5B2-i%5Csqrt%7B26%7D%5D%7D%7B-10%7D%20%5C%20%3B%20%5C%20%5Cdfrac%7B%28-2%29%5B2%2Bi%5Csqrt%7B26%7D%5D%7D%7B-10%7D%5C%5C%5C%5C%3D%5Cdfrac%7B2-i%5Csqrt%7B26%7D%7D%7B5%7D%20%5C%20%3B%20%5C%20%5Cdfrac%7B2%2Bi%5Csqrt%7B26%7D%7D%7B5%7D)
The measure of angle (m ∠A) is 136°
<h3>Vertical angles theorem</h3>
From the question, we are to find the measure of angle A
From the given information, we have that
∠A and ∠B are vertical angles
Thus
∠A = ∠B
and
Also, from the given information,
m ∠A=(2x+26)°
and
m ∠B= (3x−29)°
∴ (2x+26)° = (3x−29)°
Now, solve for x
2x + 26 = 3x - 29
26 + 29 = 3x - 2x
55 = x
∴ x = 55
But measure of angle A is given by
m ∠A=(2x+26)°
Put the value of x into the equation,
m ∠A=(2(55)+26)°
m ∠A=(110+26)°
m ∠A = 136°
Hence, the measure of angle (m ∠A) is 136°
Learn more on Vertical angle theorem here: brainly.com/question/24839702
#SPJ1
Thank u for posting a picture!
And I believe that it would be vertical because they are the same and they r across from each other and share the same point of S
Hope this helps have a nice day!!
Answer:
no 8 is 90° and no 9 is two
Step-by-step explanation:
90° and two circles can pass through a given point
Answer:
-70 is the correct answer
Step-by-step explanation:
To add fractions, find the LCD and then combine
