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°
The equation must be 4x + y = 17
I will use the y-intercept slope version
y = - 4x + 17
Then the slope is negative (-4) and the y-intercept is 17.
The line passes through the points (0,17) and (0,17/4). The negative slope indicates that the line goes down from left to right (y decreases when x increases).
1 is <span>y = 15x, in 9 years he will have saved $13,500
2 is </span><span>x2 − 4x − 21
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<span>volume = l x w x h</span>
<span> to increase volume by 3 you would have 3*l*w*h </span>
<span>so 3*l*w*h= l*2*w* x *h ( x is the scale factor)
</span><span> cancel out the l w and h on both sides
3 = 2x
Divide both sides by 2
x = 3/2 = 1.5
</span><span> the height should increase by a factor of 1.5</span>