Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
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Answer:
I am stuck at 2m^2 + 6m- 32 as finding the roots of the quadratic equation is unproductive
Answer:
1. slope is 7 and y-intercept is 9
2.slope is -5 and y-intercept is -2
3. slope is 3 and y-intercept is 1
Step-by-step explanation:
The standard equation of a line in slope form is;
y=mx + b where m is the slope and b is the y intercept.
In question 1.
y=7x + 9
slope is 7 and y-intercept is 9
In question 2
y= -5x - 2
slope is -5 and y-intercept is -2
In question 3
y= 3x + 1
slope is 3 and y-intercept is 1
