This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.
Answer:
11 units
Step-by-step explanation:
The shaded portion of the rectangle forms the shape of a trapezium
The area of a trapezium = 1/2(a + b)h
From the diagram, we can see than x = b
a = 7 units
b = 7 units
Area of the trapezium = Area of the shaded portion = 63 square units
A = 1/2(a + b)h
63 = 1/2(7 + b)7
63 = 1/2(49 + 7b)
63 × 2 = 49 + 7b
126 - 49 = 7b
7b = 77
b = 77/7
b = 11 units
Since x = b, x = 11 units
Answer:
The y-coordinates are the same
Step-by-step explanation:
The decimal expansion of 0.31717 is an infinite number with the 17 repeating.
Let the given decimal = X, so we have X = 0.31717 ( 1st equation)
Multiply both sides by 100 to get:
100x = 31.717 ( 2nd equation)
Subtract the 1st equation from the 2nd equation:
100x = 31.1717 - x = 0.31717 = 99x = 31.4
Divide both sides by 99:
X = 31.4 / 99
Multiply both numbers by 10 to remove the decimal point:
X = 314 / 990
Divide both numbers by 2 to get the final answer of 157 / 495
The answer is B.
Answer:
124.4
Step-by-step explanation:
Perimeter of ∆HIJ = IJ + HJ + HI
IJ = 40
HJ = 37.6
HI = ?
Let's find HI
∆HIJ and ∆EFG are similar. Since they have equal corresponding angles. Therefore, the ratio of their corresponding sides would be equal.
Thus:
EF/HI = FG/IJ
EF = 117 (given)
HI = ?
FG = 100 (given)
IJ = 40 (given)
Plug in the values
117/HI = 100/40
117/HI = 2.5
117 = HI*2.5
117/2.5 = HI
HI = 46.8
✔️Perimeter of ∆HIJ = IJ + HJ + HI
= 40 + 37.6 + 46.8
= 124.4
