<span>Opposite angles of a parallelogram are equal, so:
5x - 28 = 3x - 10
2x = 18
x = 9
Plug x = 9 into the equations
m angle 2 = 5x - 28 = 5 * 9 - 28 = 17
m angle 4 = 3x - 10 = 3 * 9 - 10 = 17
The sum of all angles in a parallelogram is 360,
and we know: m angle 1 = m angle 3, so:
m angle 1 + m angle 2 + m angle 3 + m angle 4 = 360
m angle 3 + 17 + m angle 3 + 17 = 360
2 * (m angle 3) = 360 - 17 - 17 = 326
m angle 3 = 163</span>
9514 1404 393
Answer:
2/5, 7/15, 8/15, 3/5, 2/3
Step-by-step explanation:
If these fractions are expressed with a common denominator, that would be 3×5 = 15. Then the given fractions are 1/3 = 5/15, and 4/5 = 12/15. The numerators 5 and 12 differ by 7, so we can easily choose 5 fractions in that range:
6/15 = 2/5
7/15
8/15
9/15 = 3/5
10/15 = 2/3
_____
<em>Alternate solutions</em>
There is no requirement for the fractions to be written any particular way or with any particular spacing. The limits in decimal are 1/3 = 0.3333...(repeating) and 4/5 = 0.8. We could choose the decimal fractions ...
0.34, 0.40, 0.50, 0.60, 0.70
or
0.41, 0.52, 0.63, 0.74, 0.79
Answer:
6(9x+5)
Step-by-step explanation:
6*9x = 54x
6*5 = 30
similar!
congruent means they are the exact same shape.
How many times does 5 go into 30 6 times with 2 left over add 6.2 into 5=11.2
