Answer:
Step-by-step explanation:
1) m∠1 +m∠2 + m∠3 = m∠LAM (Angle addition postulate)
2) m∠1 + m∠2 + m∠3 = 180 (def. of straight angle)
3) y║z (Given)
4) ∠1 ≅ ∠5 (alternate interior angles theorem)
5) ∠3 ≅ ∠6 (alternate interior angles theorem)
6) Since m∠1 + m∠2 + m∠3 = 180
m∠5 + m∠2 + m∠6 = 180
Hence proved.
Reduce the expression<span> by cancelling the </span><span>common factors</span><span>.
</span><span><span>7<span>a^11</span><span>b^7/</span></span><span><span>a^3</span>b
</span></span>Reduce the expression<span> by cancelling the </span><span>common factors</span><span>.
</span><span>7<span>a^8</span><span>b^7/</span></span>b
Reduce the expression<span> by cancelling the </span><span>common factors</span><span>.
</span>7<span>a^8</span><span>b^<span>6
</span></span>28a^11 b^7 divided by 4a^3b simplified is 7a^8b^6
Answer:
a.) First check on the height of the bar that ranges between 20 and 24 which is 6. The 6 is the number of students who bought 20 books or more, so get the percentage of those students who bought 20 or more books; divide 6 which is the number of students who bought 20 books or more with the total number of students which is 40 then multiply with 100.
% of students who bought 20 or more books = 6/40 ×100
=15
Step-by-step explanation:
b.) Find the area of a trapezium
= 1/2 × {a+b} × h
= 1/2 × {9 + 13} ×12
= 132
= 1/2 × {13 + 6} × 12
= 108
Mean no. of books bought = 132 + 108
= 240
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❖ 6 + 45 ÷ 3² = 11
Follow order of operations:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
(Note: Multiplication and division can be done in either order as well as addition and subtraction.)
There are no parenthesis in this problem so we skip to exponents. The exponent is 3² which is 3 x 3 = 9.
We then have division. 45 ÷ 9 = 5
Our last step is addition.
Add:
6 + 5 = 11
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