When you have two lines in an x shape, vertical angles are the ones opposite each other.
in the example here, the angles with the purple dots are vertical angles and the angles with the blue dots are the other vertical angles
Bobby has the most pencils. You have to convert all of the fractions so they have the same number in the denominator. To do this you have to find the lowest common multiple (LCM) for this question, all of the denominators have the number 24 in common. If you divide 24 by 6 you get 4 then you have to multiply 4 by the numerator to make sure that the fraction is being fully converted. You will get (8/24). Apply this to all three fractions and you will get (8/24), (16/24), (12/24). 16 is the largest number therefore bobby would have the most pencils. To check this you can simplify all of the fractions back down. Do 8/24 and you will get .33333. If you do 2/6 then you get .33333, they are the same number which means you converted correctly and you have the right answer. Hope this helps!
Answer:
D
Step-by-step explanation:
Using trigonometric ratios in the right triangle
tan45° = 1 and cos45° =
tan45° = =
Multiply both sides by 7
7 × tan45° = b, that is
b = 7 × 1 = 7
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cos45° = =
Multiply both sides by a
a × cos45° = 7, that is
a × = 7
Multiply both sides by
a = 7
B. 1/27
1. you switch the denominator and the numerator (3/1 goes to 1/3).
2. then you take the exponents value (3) and put that as the exponent for 1/3
3. 1/(3^3) = 1/27
The hundreds place is 1
Tens is 2
Ones is 3
Tenths is 4
Hundredths is 5
Thousandths is 6