Answer:
9) 51 × 10⁻⁵ = 0.00051
10) Cash price = #54,000 × (1 - 0.125) = #47,250
11) -40·p·q÷(-2)² = -10·p·q
12) 0.003 × 0.045 = 1.35 × 10⁻⁴
13) N40°W = 320°
14) The base diameter of the cylinder = √(4 × (700×π cm³/7)/π) = 20 cm
15) The LCM of 2·x²·y, 3·x·y² is 12·x²·y²
16) 636,000 = 6.36 × 10⁵
17) 1/3·π·r²·h₁ = π·r²·h₂
h₂/h₁ = 1/3·π·r²/( π·r²) = 1/3
h₂/12 = 1/3
h₂ = 12/3 = 4 cm, the height of the cylinder = 4 cm
18) The angle = 180 + 45 = 225°
19) The total surface area = 22/7×14²/4 + 22/7 ×14 × 20 = 1034 cm²
20) The number is 58/2 = 29.
Step-by-step explanation:
Answer:
the 2 one is wrong
Step-by-step explanation:
the 2 would be greater than the 9 sense both the numbers are negative and the bigger the negative number is the less amount it is so -9 is smaller than -2
Angles ECD and CEF add to 180
40+140 = 180
So that means we have EF parallel to CD (due to the same side interior angle theorem)
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Angles BCE and ECD combine to 30+40 = 70, which is congruent to angle ABC = 70 as well.
In other words, this shows angle ABC = angle BCD. Both of these angles are alternate interior angles. Since they're congruent, they lead to AB being parallel to CD.
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So far we have
AB || CD
CD || EF
Using the transitive property, we can then link the two statements to say AB || EF. Think of a chain where CD is the common link. We go from AB to CD, then from CD to EF. So we can just take a single path from AB to EF.
It's like saying "P --> Q and Q --> R, therefore P --> R"
Answer:
15 and 20
Step-by-step explanation:
Answer:
see the prove below
Step-by-step explanation:
<u>We have to prove that </u><u>MOC=(AOM+BOM)/2</u>
Let Angle AOM=x and AOC=y . => AOB=2y ( because OC is the bisector of AOB)
So MOC= AOM+AOC=x+y
BOM=AOB+AOM=2y +x
AOM+BOM= x+2y+x=2y+2x
(AOM+BOM)/2= (2y+2x)/2=x+y=MOC
The statement is proved
