Answer:
m∡1 + m∡2 = 180
Step-by-step explanation:
m∡1 + m∡2 = 180
This is because supplementary means they add up to 180°.
Hi!
Each piece cost 1.95, then 1000 pieces will cost:
1000 * 1.95 = 1950
;)
Answer:
45
Step-by-step explanation:
AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.
now, what is f ?
we know this from the relation of AC to FA.
FA = 12 mm
AC = 12 + 28 = 40 mm
so, going from AC to FA we multiply AC by f so that
AC × f = FA
40 × f = 12
f = 12/40 = 3/10
all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).
the area of a triangle is
baseline × height / 2
aABC = 500
and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.
baseline small = baseline large × f
height small = height large × f
we know that
baseline large × height large / 2 = 500
baseline large × height large = 1000
aAEF = baseline small × height small / 2 =
= baseline large × f × height large × f / 2 =
= baseline large × height large × f² / 2 =
= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =
= 500 × 9/100 = 5 × 9 = 45 mm²
So, it's just an annoying problem. Keep the tax rates in mind for each thing.
$70 of souvenirs mean the tax is 5% since it is not prepared food, lodging, or auto rentals.
$580 on prepared food means that has 7% tax because it is special.
$620 on the car has a 10% tax, as stated in the problem.
So do 70(1.05)+580(1.07)+620(1.1) to get $1376.1.0
Answer:
62.5%
Step-by-step explanation:
Total number of animals in a group= 5+3=8 animals
Number of rays=5
Since we only have 5 rays out of the total 8, to express the number of rays as a percentage of the total animals, we divide the number of rays by the total animals then multiply by 100 to express in percentage as needed in the question
Percentage of rays=
Therefore, the percentage is 62.5%