Answer:
x = 90, y = 43
Step-by-step explanation:
By the SAS theorem (as you can tell by the picture) angles B and C are similar, which means they are both 47 degrees.
Since the triangles are similar (SAS theorem) then angle x must be equal to 90 degrees, because they are on a straight line both angles would need to add up to 180 degrees.
Now that you have two angles out of three, you can solve for the last angle by setting up this equation:
B + D + A = 180
47 + 90 + A = 180
Add 47 and 90 together.
137 + A = 180
Subtract 137 from both sides.
A = 43
x = D and y = A, therefore x = 90 and y = 43.
An=a1+d(n-1)
a1=first term
d=common differnce
easy
inptu 4 for n and 10
a4=5+(4-1)1/2
a4=5+3(1/2)
a4=5+3/2
a4=6 and 1/2
4th term is 6 and 1/2
10th term
a10=5+(10-1)1/2
a10=5+(9)1/2
a10=5+9/2
a10=9 and 1/2
4th term is 6 and 1/2
10th term is 9 and 1/2
Answer:
n = -1.825
Step-by-step explanation:
8n + 16.2 = 1.6 (Given)
8n = -14.6 (Subtract 16.2 on both sides)
n = -1.825 (Divide 8 on both sides)
Answer:
6 tbsp and 2 tsp
Step-by-step explanation:
Hope this helps!
The answer is 75
First you subtract 180 and 165 to find that smallest angle inside the triangle(15). Then you add 15 and 90,the two angles you know, and do 180 - 105= 75.
The trick is that all angles inside a triangle equal 180 degrees. Hope this helps!
