The surface area of the rectangular prism is 427 mm². The correct option is the second option 427 mm²
<h3>Calculating surface area</h3>
From the question, we are to calculate the surface area of the rectangular prism
Surface area of a rectangular prism can be calculated by using the formula,
Surface area = 2(lw + lh + wh)
Where l is the length
w is the width
and h is the height
In the given diagram,
l = 21.5 mm
w = 4 mm
h = 5 mm
Putting the parameters into the equation, we get
Surface area = 2(21.5×4 + 21.5×5 + 4×5)
Surface area = 2(86 + 107.5 + 20)
Surface area = 2 × 213.5
Surface area = 427 mm²
Hence, the surface area of the rectangular prism is 427 mm². The correct option is the second option 427 mm²
Learn more on Surface area here: brainly.com/question/1310421
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Answer:
x=-20
Step-by-step explanation:
Given
-6(x+7)= -4x - 2
First of all, we have to solve brackets
So,
-6x-42=-4x-2
To find the solution of this equation, we have to isolate x on one side of the equation.
Adding 4x on both sides
-6x-42+4x = -2-4x+4x
-2x-42 = -2
Adding 42 on both sides
-2x-42+42 = -2+42
-2x=40
Dividing both sides by -2
-2x/2 = 40/-2
x = -20
The equation has only one solution which is x=-20 ..
Answer:
Step-by-step explanation:
Sum of angles of a triangle = 180
So, 56 + 58 + x = 180
114 + x = 180
x = 116
Now ∠ 1 + ∠x = 180 [ straight line angles]
∠ 1 + 66 = 180
∠1 = 180 - 66 = 114°
OR
You can use the rule : Exterior angle = sum of 2 interior opposite angles.
56 + 58 = ∠1
114 = ∠1
