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Answer:
Therefore
m Angle 1 = m Angle 2 = 31° ...Justified
Step-by-step explanation:
Given:
m angle 1 = ( 3x + 10 )°
m angle 2 = ( 5x - 4 )°
To Find:
m∠1 = ?
m∠2 = ?
Solution:
Vertical Angles:
The angles opposite each other when two lines cross. They are always equal.
∴ m Angle 1 = m Angle 2
Substituting the given values we get
Substituting ' x ' in Angle 1 and Angle 2 we get
m Angle 1 = 3 × 7 + 10 = 31°
m Angle 2 = 5 × 7 - 4 = 31°
Therefore
m Angle 1 = m Angle 2 = 31° ...Justified
The slope intercept form of the line whose points are (1,5) and (-2,-4) is y=3x+2.
Given two points of a line (1,5) and (-2,-4).
We have to form an equation in slop intercept form.
Equation is relationship between two or more variables which are expressed in equal to form.Equations of two variables looks like ax+by=c.
Point slope form of an equation is y=x+mc where m is slope of the line.
From two points the formula of equation is as under:
(y-)=
*(x-
)
where are the points.
Putting the values of =1,
=-2,
=5 and
=-4.
y-5=(-4-5/-2-1)*(x-1)
y-5=-9/-3*(x-1)
y-5=3(x-1)
y-5=3x-3
y=3x-3+5
y=3x+2
Hence the slope intercept form of the line having points (1,5)(-2,-4) is y=3x+2.
Learn more about equation at brainly.com/question/2972832
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