Answer:
Step-by-step explanation:
First, we can factor all of the following equations to turn that weird, huge looking thing into 
÷ 
× 
. We know that division is simply multiplication by the reciprocal, so that whole equation will turn into × 
× 
. Now we can cancel out some values if they are both in the numerator and denominator, which will turn that still huge looking thing into which is our final answer, as it cannot be simplified further.
Hope this helped! :)
31 degrees, 31 degrees, 118 degrees
Step-by-step explanation:
Step 1 :
Let x be the measure of 2 angles of the given isosceles triangle with same measure
Let y be the measure of 3rd angle
So we have x + x + y = 180
Step 2 :
Given that the measure of 3rd angle of triangle is 25° more than three times the measure of either of the other two angles
So we have , y = 3 x + 25
Step 3:
Substituting for y in the first equation we have,
x + x + 3 x + 25 = 180
=> 5 x + 25 = 180
=> 5 x = 180-25 = 155
=> x = 155/5 = 31
Hence the 2 angles of the triangle are 31 degrees.
Step 4:
we have y = 3 x + 25
=> y = 3 * 31 + 25 = 118
Hence the 3rd angle of given triangle is 118 degrees
Answer:
6.0 miles
Step-by-step explanation:
The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...
S7 = a1·(r^7 -1)/(r -1)
56.923 = a1·(1.1^7 -1)/(1.1 -1)
5.6923 = a1·0.9487171
Dividing by the coefficient of a1 gives its value:
5.6923/0.9487171 ≈ 5.999997 ≈ 6.000
The hiker traveled 6.0 miles on the first day.
Step-by-step explanation:
45.50
Converting decimal
45.50 x 100 = 4550
