<u>We are Given:</u>
∠1 = 65°
<h3><u>
Finding the measure of all other angles with proof:</u></h3>
<u>∠2:</u>
∠1 + ∠2 = 180° <em>(angle 1 and 2 form a Linear Pair)</em>
65 + ∠2 = 180 <em>(Angle 1 = 65°)</em>
∠2 = 180 - 65
∠2 = 115°
<u>∠3:</u>
∠1 = ∠3 <em>(Angle 1 and 3 are vertically opposite)</em>
65 = ∠3 <em>(Angle 1 = 65°)</em>
<em>∠3 = 65°</em>
<em />
<u><em>∠4:</em></u>
∠4 = ∠2 <em>(Vertically opposite angles)</em>
∠4 = 115° <em>(∠2 = 115°)</em>
<u><em /></u>
<u>∠5:</u>
∠5 = ∠1 <em>(Corresponding angles)</em>
∠5 = 65° <em>(∠1 = 65°)</em>
<u><em /></u>
<u>∠6:</u>
∠6 = ∠2 <em>(Corresponding angles)</em>
∠6 = 115° <em>(∠2 = 115°)</em>
<em />
<u>∠7:</u>
∠7 = ∠3 <em>(Corresponding Angles)</em>
∠7 = 65° <em>(∠3 = 65°)</em>
<em />
<u>∠8:</u>
∠8 = ∠4 <em>(Corresponding angles)</em>
∠8 = 115° <em>(∠4 = 115°)</em>
Answer:
46.2÷m=x
Step-by-step explanation:
u divide the amount of water by the time it takes to fill up(m). Witch will equal the amount per minute (x).
<h3>
Answer: Yes</h3>
========================================================
Explanation
The ratio 8:10 simplifies to 4:5 when you divide both parts by 2.
The ratio 16:20 simplifies to 4:5 when you divide both parts by 4
Therefore the two ratios 8:10 and 16:20 are both equal 4:5, so they are equal to one another.
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Put another way,
(8 large)/(10 small) = (16 large)/(20 small)
8/10 = 16/20
8*20 = 10*16 ... cross multiply
160 = 160
We get a true equation, so the first equation is true as well.
This shows the ratios are equivalent.
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Or you could have...
(8 large)/(16 large) = (10 small)/(20 small)
8/16 = 10/20
8*20 = 16*10
160 = 160
We get the same conclusion as before.
Up, it is a positive number even squared
Answer:
28
Step-by-step explanation
we can use Greatest common divisor to solve
84 and 56 Greatest common divisor is 28(you can try)
so is 28 basket and every basket has 3 toys and 2 books
