The sum of interior angles of any polygon is:
s=180(n-2)
Since we are dealing with a triangle:
s=180(3-2)
s=180°
That is, the sum of angles of any triangle is 180°.
In this case we are given two angles with measures of 32° and 102° so
a+b+c=180
32+b+102=180 combine like terms on left
b+134=180 subtract 134 from both sides
b=46°
Answer:
he gets 11 per week
Step-by-step explanation:
mark brainly pls
Area=1/2 times base times height
note:bh=base times height
a=1/2bh
b=width
h=-4+2w
h=2w-4
subsitute
a=1/2w(2w-4)
a=1/2(2s^2-4w)
a=w^2-2w
a=63
63=w^2-2w
subtract 63 from both sdies
0=w^2-2w-63
factor
find what 2 numbers multiply to get -63 and add to get -2
the numbers are -9 and 7
so
0=(w-9)(w+7)
if xy=0 then x and/or y=0
so
w-9=0
w+7=0
solve each
w-9=0
add 9 to both sdies
w=9
w+7=0
subtract 7 from both sides
w=-7
width cannot be negative so this can be discarded
width=9
subsitute
l=2w-4
l=2(9)-4
l=18-4
l=14
legnth=14 in
width/base=9 in
Answer:
2,000 miles
Step-by-step explanation:
We are given:
This can be rewritten as:
This is representative of a unit rate, as we have a 
in the denominator. To calculate the number of miles in 
inches, simply multiply the unit rate by :
This can rewritten as:
Therefore, there are 2,000 miles in 4 inches.
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We can check our solution by simplifying the fraction by dividing both 
and by to see if we achieve the unit rate:
Since this is in fact the unit rate, our solution is correct!
