Answer: slope, m = -7/3
Step-by-step explanation:
The equation of the line is
7x+3y=15.
To find the slope,
We will consider the standard slope intercept equation also known as the equation of a straight line,
y = mx + c
Where m = slope( change in y values divided by change in x values)
c = the y intercept. This is the point where the straight line cuts across the y axis
Looking at the given equation, 7x+3y=15,
We would need to rearrange it and make y the subject of the formula. It becomes
3y = 15 - 7x
Dividing the right hand side of the equation and left hand side of the equation by 3,
y = -7x/3 + 15. Comparing with the slope intercept equation,
m = -7/3
It would be x= x+5-7/4
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9514 1404 393
Explanation:
<h3>8.</h3>
An exterior angle is equal to the sum of the remote interior angles. Define ∠PQR = 2q, and ∠QPR = 2p. The purpose of this is to let us use a single character to represent the angle, instead of 4 characters.
The above relation tells us ...
∠PRS = ∠PQR +∠QPR = 2q +2p
Then ...
∠TRS = (1/2)∠PRS = (1/2)(2q +2p) = q +p
and
∠TRS = ∠TQR +∠QTR . . . . . exterior is sum of remote interior
q +p = (1/2)(2q) +∠QTR . . . . substitute for ∠TRS and ∠TQR
p = ∠QTR = 1/2(∠QPR) . . . . . subtract q
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<h3>9.</h3>
For triangle ABC, draw line DE parallel to BC through point A. Put point D on the same side of point A that point B is on the side of the median from vertex A. Then we have congruent alternate interior angles DAB and ABC, as well as EAC and ACB. The angle sum theorem tells you that ...
∠DAB +∠BAC +∠CAE = ∠DAE . . . . a straight angle = 180°
Substituting the congruent angles, this gives ...
∠ABC +∠BAC +∠ACB = 180° . . . . . the desired relation
Answer:
58 degrees.
Step-by-step explanation:
m<3=180-119=61
Write the equation :
61+(10x-22)+(9x-11)=180
x=8
m<1= 58 degrees
Angles in a triangle add up to 180 degrees so
41+71=112
180-112=68
Angle of BAC=68 degrees
