- The angles are supplementary angles
- The measure of angle m<1 and m<2 are 72 and 108 degrees respectively
Find the diagram attached. From the figure, the sum of the angles m<1 and m<2 are supplementary
Given the following angles
m<1 = 2x + 6
m<2 = 3x + 9
Since both angles are supplementary, hence;
2x + 6 + 3x + 9 = 180
5x + 15 = 180
5x = 180 - 15
5x = 165
x = 165/5
x = 33
Get the measure of m<1;
m<1 = 2x + 6
m<1 = 2(33) + 6
m<1 = 66 + 6
m<1 = 72degrees
Get the measure of m<2:
m<2 = 180 - m<1
m<2 = 180 - 72
m<2 = 108degrees
Hence the measure of angle m<1 and m<2 are 72 and 108 degrees respectively
Learn more here: brainly.com/question/22309882
Answer:
x = -3, 
Step-by-step explanation:
The given quadratic equation is: 
This can be written as: 
To solve a quadratic equation of the form 
we use the formula:
Here, a = 2; b = 3; c = - 9
Therefore, the roots of the equation are:
We get two values of 'x', viz.,
x = 
and 
⇒ x = -3, 3/2
Since the factors of the quadratic equation is asked, we write it as:
(x + 3)(x - ) = 0
because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.
Multiply (x + 3) and (x - to see that this indeed is the given quadratic equation.
Answer:
Chandra Gupta I, King of India reigned from 320 to about 330 CE and founder of the Gupta empire. He was the grandson of Sri Gupta, the first known leader of the Gupta line. Chandra Gupta I, whose first life is unknown, became the local chief of the kingdom of Magadha parts of the modern state of Bihar.
Step-by-step explanation:
Sqrt14 = 3.74165
smallest integer above = 4
