Answer:
93 degrees
Step-by-step explanation:
The angles in a triangle add to be 180 so
180-56-31=x
x=93
<h3>
Answer: 73</h3>
==================================================
Work Shown:
Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.
tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(37) = x/97
97*tan(37) = x
x = 97*tan(37)
x = 73.094742859971
For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.
Notice this is a geometric progression since each number multiplied by some factor equals the next number in the sequence, in this case,
Then by applying the formula for sum to infinity of a geometric progression,
Answer:
Step-by-step explanation:
The total number of stickers :
Page 1 : 28
Page 2 : 24
Page 3 : 72
Page 4 : 48
<h3>Further explanation
</h3>
There are several properties in integer multiplication operations
Multiplication between integers will produce integers too
a x b = b x a
ax (bxc) = (axb) xc
ax1 = 1 x a = a
* addition
ax (b + c) = axb + axc
* substraction
ax (b-c) = axb - axc
We can use facts to solve multiplication problems
for example :
6 x 7 = (5 x 7) + ( 1 x 7) = 42
we can break facts with 6 into 5s and 1s facts from multiplication above
julia puts her stickers into arrays in an album
From picture (attached) we can find the total number of stickers on each page with 1s,2s,3s and 5s facts
- Page 1 : 4 x 7 = (2 x 7) + ( 2 x 7) = 14 + 14 = 28
- Page 2 : 4 x 6 = (1 x 6) + (3 x 6) = 6 + 18 = 24
- Page 3 : 8 x 9 = ( 3 x 9) + (5 x 9) = 27 + 45 = 72
- Page 4 : 8 x 6 = (3 x 6) + (5 x 6) = 18 + 30 = 48
<h3>Learn more</h3>
the multiplicative identity property
brainly.com/question/4238982
Keywords : stickers, arrays, album, page, Julia
#LearnWithBrainly