Answer:
x=55
a=11.47
Step-by-step explanation:
To find x we add all the angles in the triangle. The three angles in a triangle add to 180 degrees
35+x+90 = 180
Combine like terms
125+x=180
Subtract 125 from each side
125-125+x=180-125
x= 55
To find a
sin 35 = opposite side/ hypotenuse
sin 35 =a/20
Multiply each side by 20
20sin35 =a
11.47152873 =a
A moving sidewalk at an airport moves at a rate of 1.7 ft/sec. Walking on the moving sidewalk, a person travels 104 ft forward in the time it takes to travel 52 ft in the opposite direction.
Hello! I believe the answer is 27.71.
I hope this helps!
Answer:
130
Step-by-step explanation:
The number of integers meeting the criteria can be found by counting them using a counting formula.
<h3>Divisible by 7</h3>
Integers divisible by 7 will have the form (7n), where n is some positive integer. The number of them less than 1000 can be found from ...
7n ≤ 1000
n ≤ 142.857
There are 142 integers less than 1000 that are divisible by 7.
<h3>Divisible by 7 and 11</h3>
Similarly, integers divisible by 7 and 11 will be of the form (77n), for some positive integer n.
77n ≤ 1000
n ≤ 12.987
There are 12 integers less than 1000 that are divisible by both 11 and 7.
<h3>Divisible by 7, not 11</h3>
The number of integers less than 1000 that are divisible by 7, but not 11, will be the difference of these numbers.
142 -12 = 130 integers divisible by 7, but not 11.
Answer:
1
Step-by-step explanation:
since both the triangles are Congruent
Side BC = side FE
13x - 12 = 7x - 6
13x - 7x = -6 +12
6x = 6
x = 6/6
x = 1
