Answer:
x = 35 degrees
Step-by-step explanation:
∠BCA = ∠DAF because they are corresponding angles.
∠BCA + 42 + 103 = 180 (angles in a triangle = 180)
∠BCA = 180 - (42+103)
∠BCA = 35
∠BCA = x (corresponding angles)
x = 35
<span>The pair of integers that I chose are:
(a) sum is –3
5 + (-8) = -3
(b) difference is –5
2 - 7 = -5
(c) difference is 2
14 -12 = 2
(d) sum is 0
2 - 2 = 0</span>
56 divided by 8 = 7
Hope it helps :)
Answer:
x = 9√3
y = 18
Step-by-step explanation:
Given the angle measures and given length of the triangle, we can see that this is a 30-60-90 triangle which means the angle measures are 30°, 60° and 90°. A 30-60-90 triangle has special side lengths as indicated in the diagram below. Since the length given is across from the 30° angle, then x = 9.
In this diagram, x = x√3 or 9√3 and y = 2x or 9(2) = 18.
Answer:
The reason for the decreasing sequence is 
the sum of the sequence is -243
Step-by-step explanation:
Note that the numbers are decreasing so we will use the following formula to find the sum:
S∞=
,
where t1 is equal to the first number of the sequence and q is the reason that gives the following results.
to find q this form is used;
q= 
then we replace in the formula of the sum to find the total