Point I is on line segmentHJ‾HJ . Given HI=x,HI=x, IJ=2x+9,IJ=2x+9, and HJ=4x, HJ=4x, determine the numerical length of IJ‾.IJ .
1 answer:
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Answer: The answer is D. Trapezoid.
Step-by-step explanation: As shown in the attached figure, a rectangular pyramid ABCDE is drawn. We are slicing this rectangular pyramid parallel to the base BCDE at the points F, G, H and I.
We can clearly see from the figure that upper half of the sliced figure will be similar to the pyramid BCDE and the lower sliced figure will be a trapezoid. These are the three-dimensional figures.
Also, the sliced two-dimensional figure FGHI will be a rectangle, because
the pyramid is a rectangular one and so, FI=GH, FG=HI and all the angles are right angles.
Thus, the resulting two-dimensional figure will be a rectagle.
For #7, one line should have the y-intercept of -2 and a slope of 2/3 and the other line's y-intercept is 1 and its slope should be -5.
In the image provided, the red line represents 2/3x - 2 and the blue line represents -5x + 1.
8) Organize the information you are given.
*Savannah is 24 years older than Ryan.
So, Ryan's age + 24 = Savannah's age.
*Sebastian is 5 times as old as Ryan.
So, Ryan's age × 5 = Sebastian's age.
*Savannah and Sebastian are twins. They have the same age.
So, Savannah's age = Sebastian's age
Let x represent Ryan's age.
Write the equation based on the information you are given.
x + 24 = x(5)
x + 24 = 5x
Solution: D) 24 + x = 5x
In the image provided, the red line represents 2/3x - 2 and the blue line represents -5x + 1.
8) Organize the information you are given.
*Savannah is 24 years older than Ryan.
So, Ryan's age + 24 = Savannah's age.
*Sebastian is 5 times as old as Ryan.
So, Ryan's age × 5 = Sebastian's age.
*Savannah and Sebastian are twins. They have the same age.
So, Savannah's age = Sebastian's age
Let x represent Ryan's age.
Write the equation based on the information you are given.
x + 24 = x(5)
x + 24 = 5x
Solution: D) 24 + x = 5x