Answer:
70 degrees.
Step-by-step explanation:
Hello!
It says that this triangle is a right triangle. That means one angle is 90°. Since there are 180° in a triangle, all we have to do is subtract 90 + 20 from 180.
90 + 20 = 110
180 - 110 = 70.
So the medium angle is 70°.
Hope this helps!
The 12th term = a + 11d where a is the first term and d is the common difference
a + 11d = 74
The first three terms are a, a + d, a + 2d
a + (a + d) + (a + 2d) = 42
3a + 3d = 42
a + d = 42 / 3 = 14
By subtracting this equation from the T12 equation
(a + 11d) - (a + d) = 74 - 14
10d = 60
d = 6 (the common difference = 6)
a + 6 = 14
a = 14 - 6 = 8 (the first term = 8)
S(n) = n/2 x (2a + (n-1)d)
S(10) = 10/2 x (2x8 + (10-1)x6)
S(10) = 5 x (16 + 54) = 5 x 70 = 350
Answer:
D
Step-by-step explanation:
D is the only graph where the shaded region is on 6 and less.
The rectangles are similar. The difference between 7 and 8 is that the second one is dilated by 1/2
Answer:
−4<x<−2
Step-by-step explanation:
8 > 4 − x > 6
8 > −x + 4 > 6
8 + −4 > −x + 4 + −4 > 6 + −4
4 > −x > 2
Since x is negative we need to divide everything by -1 which gives us...
−4 < x < −2