4n - 8 = 40
Add 8 to both sides.
4n = 48
Divide both sides by 4.
n = 12
Midpoint is (x1 + x2)/2 , (y1 + y2)/2
(-2,0)...x1 = -2 and y1 = 0
(-6,8)...x2 = -6 and y2 = 8
now we sub and solve
m = (-2 +(-6) / 2 , (8 + 0)/2
m = (-2 - 6)/2 , 8/2
m = -8/2 , 8/2
m = (-4,4) <==
Change in base of right angled triangle is - 1.5cm/minute
<h3>What is rate of change in area?</h3>
The rate of change in area is defined as the change in with respect to time.
dA/dt = 1/2(BdH/dt + HdB/dt)
where A is area, B is base, H is height
<h3>According to given data:</h3>
A = 1/2×B×H
94 = 1/2×11.5×B
⇒ B = 94×2/11.5 = 16.3cm
Rate of change in base,
dA/dt = 1/2(BdH/dt + HdB/dt)
3.5 = 1/2(16.3×1.5 + 11.5×dB/dt)
dB/dt = 7-24.45/11.5 = -1.5 cm/minute
Thus,base of triangle is decreasing by 1.5cm/minute.
To know more about right angled triangle visit:
brainly.com/question/27682397
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Answer:
Step-by-step explanation:
A right angle is an angle whose measure is equal to . As the measure of two right angles equals angle on a straight line, while four right angles equal the sum of angles at a point.
Given: <ABC, <DEF are right angles.
The missing reasons in the steps of the proof are:
A: m<ABC = and m<DEF = (Meaning of a right angle)
B: m<ABC = m<DEF (By right angle property)
C: <ABC ≅ <DEF (Congruence property of angles)
The answer for this question:
y>-1.1