Answer:
a. 15/23
b. 13/27
c. 400g
Step-by-step explanation:
a. When the denominators are the same, you can just sum the numerators.
Which becomes, 13+2=15--> 15/23
b. Same, when the denominator is the same, you can just minus the numerators. Which becomes, 25-12=13--> 13/27
c. 1kg=1000g. 1000/5=200✖️2=400
Answer:
see explanation
Step-by-step explanation:
The opposite angles of an inscribed quadrilateral are supplementary, thus
5x + 20 + 7x - 8 = 180
12x + 12 = 180 ( subtract 12 from both sides )
12x = 168 ( divide both sides by 12 )
x = 14
Thus
∠ RQP = 10x = 10(14) = 140°
∠PSR = 180° - 140° = 40° ( opposite angles are supplementary )
∠ SRQ = 7X - 8 = 7(14) - 8 = 98 - 8 = 90°
∠ QPS = 5x + 20 = 5(14) + 20 = 70 + 20 = 90°
6. 5. That’s the answer hope it helps
<span>exact value of sin 157.5 without using a calculator
sin(157.5)=sin(315/2)
Identity: sin(x/2)=±√[(1-cosx)/2]
select positive identity since 175 is in the 2nd quadrant where sin>0
sin(315/2)=√[(1-cos315)/2]
cos 315=cos45 in quadrant IV=√2/2
sin(315/2)=√[(1-√2/2)/2]=√[(2-√2)/4]=√(2-√2)/2
sin(157.5)=√(2-√2)/2
check using calculator:
sin157.5º≈0.382...
√(2-√2)/2≈0.382...</span>
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Hey!!
The answer is <MLO and < NOL
alternate angles are always equal to each other.
Hope it helps
Good luck on your assignment
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