Answer:60
Step-by-step explanation:
Answer:
Step-by-step explanation:
39). y =
x + 3
40). m =
y -
= m( x -
)
(- 7, 5)
( - 12, 4)
m = ( 4 - 5 ) / ( - 12 + 7) = 1/5
y - 5 = (1/5)(x + 7) ⇒ y =
x + 6.4
2x + 8 > 18 2x+ 8 ≥ 18
2x > 18 -8 2x ≥ 18 - 8
2x > 10 2x ≥ 10
x > 10/2 x ≥ 10/2
x>5 x ≥ 5
The answer that combines both inequality is x ≥ 5
The value of x in given angles is 36°
<h3>What are supplementary angles?</h3>
When the sum of two angles is 180°, then they are said to be supplements of each other.
Given are two angles which are supplements of each other,
Then according to definition of supplementary angles,
m∠A+m∠B = 180°
(2x − 27)°+(3x + 27)° = 180°
2x+3x = 180°
5x = 180°
x = 180°/5
x = 36°
Hence, The value of x in given angles is 36°
For more references on supplementary angles, click;
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Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:

We can find the base by solving equation (1) for b:

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!