Answer:
Step-by-step explanation:
For similar figures, side lengths (and any other linear measure) are proportional. Areas are proportional to the square of the scale factor for side lengths.
Perimeter 1/Perimeter 2 = CD/EF
21/18 = CD/6
CD = 6(21/18)
CD = 7 . . . cm
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Area 2/Area 1 = (Perimeter 2/Perimeter 1)²
Area 2/98 = (18/21)²
Area 2 = 98(6/7)²
Area 2 = 72 . . . cm²
No, 5(x-1) expands out to make 5x-5. So 5x-1 and 5x-5 aren’t equivalent.
When the lines are parallel and angles are given, and since a straight line is 180°, the 2 angles of the line intersecting the parallel lines have to add up to be 180. Therefore,
21. 31°
22. 96°
23. 149°
24. 84°
25. 53°
In a positive integers there are twenty whole numbers I hope this help
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines will always have the same slope but different y-intercepts.
<u>1) Determine the slope of the parallel line</u>
Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.
Switch the sides
Divide both sides by 2 to isolate y
Now that this equation is in slope-intercept form, we can easily identify that 
is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope . Plug this into :
<u>2) Determine the y-intercept</u>
Plug in the given point, (4,0)
Subtract both sides by 6
Therefore, -6 is the y-intercept of the line. Plug this into as b:
I hope this helps!
