Answer:
angle 1 = 76 degrees
Step-by-step explanation:
2 angles side by side on a straight line should equal 180 degrees.
angle 1 + 104 = 180
angle 1 = 76
Answer:
<CFE = 28
<RPQ = 53
Step-by-step explanation:
1)
<CFE + 152 = 180
<CFE = 180 - 152
<CFE = 28
2)
Complementary means the angles add up to 90 so:
<RPQ + 37 = 90
<RPQ = 90 - 37
<RPQ = 53
Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,
Sn = a1 x (1 - r^n) / (1 - r)
where Sn is the sum of n terms in this case, n = 11.
Substituting the known values,
<span> Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
</span>
Thus, S11 is 2047.
Answer:
22.9 ft
Step-by-step explanation:
the height of the wall that reached by the ladder = √ (25²-10²)
=√(625-100)
=√525
= 22.9 ft
The number of adults waiting to see the new superhero movie is 62.
<h3>
How many adults are waiting in line?</h3>
Ratio expresses the relationship between two or more numbers. Ratio is used to compare two or more numbers. It shows the number of times that one value is contained in another value.
Looking at the ratio given in this question, we know that there are 1 1/2 (3 /2) more children than adults on the line to watch the new superhero movie.
Number of adults waiting to see the movie = (ratio that represents adults / sum of ratio) x total number of people wafting in line
Sum of ratios = 2 + 3 = 5
(2/5) x 155 = 62 people
To learn more about ratios, please check: brainly.com/question/25927869
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