Answer:
#5
x = 45
E
Step-by-step explanation:
Theorems you need:
- The measures of 2 adjacent angles that form a straight line with the outer sides add up to 180°.
- The sum of the interior angles of a triangle add up to 180° ((n-2)×180).
#5
Knowing those, you first want to find the triangle's 3 interior angles.
The angles <QSO & <QSR are adjacent (share a common ray) and form a straight line with the outer rays, therefore they add up to 180.
So m<QSO+m<QSR=180.
Rewrite the equation: m<QSR=180-m<QSO
Plug the known value in: m<QSR=180-(3x-17)
Distribution & Combining like terms: m<QSR=180-3x+17=197-3x
Now solve for the 3 interior angles to equal 180.
(197-3x)+(25)+(2x+3)=180
Combine like terms: 225-x=180
Isolate the x term (-225 to both sides): -x=180-225=-45
Isolate the x (×-1 to both sides):
x=45
Answer:
Therefore the value of x is
Step-by-step explanation:
Given:
which is
To Find:
x = ? using Quadratic Formula
Solution:
For a Quadratic Equation ax² + bx + c = 0 , Formula Method is given as
On Comparing with above we get
Substituting a , b , c in Formula method we get
Therefore the value of x is
Answer:
21=3(4)+9
Step-by-step explanation:
Assuming that the equation that you are trying the get is y=mx+b, plug in m, x, and b to get:
y=3(4)+9
y=12+9
y=21
Please be more specific so that you get the answer you need
