Answer:
P=41.72
Step-by-step explanation:
S=ACxDB/2
81.7=8.6xDB/2
81.7=4.3xDB|:4.3
19(mm)=DB
DO=19/2=9.5
OC=8.6/2=4.3
(O is the center of the rhombus, where two diagonals meet)
a²+b²=c² (DO²+OC²=DC²)
9.5²+4.3²=c²
90.25+18,49=c²
√108,74=√c²
c≈10.43
P=4c
P=4x10.43
P=41.72
Hope it helps:)
Answer:
_<u>7</u> + 3 = 3 + 7 : commutative property,[if something is added or subtracted]
0 +<u>5</u> _ = 5 is it: identity property.[if 0 is added or subtracted]
2 + (6 + 8) =(2 + 6)+ _<u>8</u> associated property
[if added or multiplied]
Answer:
8 feet
Step-by-step explanation:
12 x 2 =24
40 - 24 = 16
16 /2 = 8
Hope it helps :)
Answer: ![\bold{x=\dfrac{11}{21}}](https://tex.z-dn.net/?f=%5Cbold%7Bx%3D%5Cdfrac%7B11%7D%7B21%7D%7D)
<u>Step-by-step explanation:</u>
![\dfrac{2}{3}-\dfrac{4x+7}{2}=-9x+\dfrac{5}{6}\\\\(6)\dfrac{2}{3}-(6)\dfrac{4x+7}{2}=-9x(6)+(6)\dfrac{5}{6}\qquad \text{(multiplied by LCD) }\\\\4 - 12x-21=-54x+5\qquad \text{(simplified)}\\\\-12x - 17 = -54x + 5\qquad \text{(added like terms)}\\\\42x-17=5\qquad \text{(added 54x to both sides)}\\\\42x = 22\qquad \text{(added 17 to both sides)}\\\\x=\dfrac{22}{42}\qquad \text{(divided both sides by 42)}\\\\x=\dfrac{11}{21}\qquad \text{(reduced the fraction)}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D-%5Cdfrac%7B4x%2B7%7D%7B2%7D%3D-9x%2B%5Cdfrac%7B5%7D%7B6%7D%5C%5C%5C%5C%286%29%5Cdfrac%7B2%7D%7B3%7D-%286%29%5Cdfrac%7B4x%2B7%7D%7B2%7D%3D-9x%286%29%2B%286%29%5Cdfrac%7B5%7D%7B6%7D%5Cqquad%20%5Ctext%7B%28multiplied%20by%20LCD%29%20%7D%5C%5C%5C%5C4%20-%2012x-21%3D-54x%2B5%5Cqquad%20%5Ctext%7B%28simplified%29%7D%5C%5C%5C%5C-12x%20-%2017%20%3D%20-54x%20%2B%205%5Cqquad%20%5Ctext%7B%28added%20like%20terms%29%7D%5C%5C%5C%5C42x-17%3D5%5Cqquad%20%5Ctext%7B%28added%2054x%20to%20both%20sides%29%7D%5C%5C%5C%5C42x%20%3D%2022%5Cqquad%20%5Ctext%7B%28added%2017%20to%20both%20sides%29%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B22%7D%7B42%7D%5Cqquad%20%5Ctext%7B%28divided%20both%20sides%20by%2042%29%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B11%7D%7B21%7D%5Cqquad%20%5Ctext%7B%28reduced%20the%20fraction%29%7D)
NOTE: The sign between 4x and 7 is missing in the question you posted. I assumed it was 4x + 7 in order to solve the equation.
Step-by-step explanation:
i.1+y<25
y<25-1
y<24
ii.101+6y>200
6y>200−101
6y>99
y>99/6
y>33/2