Answer:
Step-by-step explanation:
Start
<F = <Q Given
<GPF = <RPQ Vertically opposite angles
<FGP = <QRP A triangle has 180 degrees. 2 equal angles means the third pair must be equal
Triangle GPF ~ Triangle RPQ AAA
end
I don't see any way to make these triangles similar except by stating the statement and why it is so. There really are no yes / no choices. If you get another answer, choose it.
20
JL/LE = 90/27 Given
KL /LD = 90/27 Given
<JLK = <DLK Vertically opposite
Are the ratios equal Yes Then is the angle included Yes
Then the triangles are similar.
Are the ratios not equal No then the triangles cannot be similar
Is the angle not included Then similarity cannot be proved.
ΔJLK ≈ ΔDLK Equal Ratios and included angle === similarity
The first column has 10 cubes.
The question states that the other two columns each have 4 fewer cubes than the first column.
10 - 4 = 6
This means that each of the other 2 columns have 6 cubes each.
Column 1: 10 Cubic units
Column 2: 6 Cubic units
Column 3: 6 Cubic units
10 + 6 + 6 = 22
Anna’s Figure has 22 Cubic Units
<span>there are 100 centimeters in a meter.
therefore 2.5 meters = 2.5 * 100 = 250 centimeters.
x = the length of the first board.
2x + 18 = the length of the second board.
x - 12 = the length of the third board.
x + 4 = the length of the fourth board.
the total length of all the boards is equal to 5x + 10,
since the total length of the board is 250 centimeters, then you get:
5x + 10 = 250
</span><span>solve for x to get x = 48 centimeters.
the 4 board lengths are:
x = 48
2x + 18 = 114
x - 12 = 36
x + 4 = 52
add them up and you get a total of 250 centimeters.
250 centimeters / 100 = 2.5 meters.
this confirms the solution is good.
</span>
$75.68
If you do the math correctly, this is the right answer.
Hope this helps!☺️
