30°, 70°, and 80°.
It is an acute-angled triangle.
Explanation:
The ratio of the measures of ∠s in Δ is 3:7:8.
So, let us suppose that the measures are, 3k, 7k, 8k.
Evidently, their sum is
180°.
3k+7k+8k=180
18k=180
k= 10
Hence, the measures are,
30°, 70°, and 80°.
As all the angles are acute, so is the triangle.
Answer:
Step-by-step explanation: 60 ÷ 0.25 = 240
240 is your selling price
Answer:
16
Step-by-step explanation:
Vertical Angles are congruent (equal)
78 = 5x - 2
80 = 5x
16 = x
Answer:
30 degrees
Step-by-step explanation:
180 - 120 = 60
60 / 2 = 30
Hope that helps!
9514 1404 393
Answer:
a[n] = n^2 -3n -6
Step-by-step explanation:
First differences are ...
-8 -(-8) = 0
-6 -(-8) = 2
-2 -(-6) = 4
Second differences are ...
2 -0 = 2
4 -2 = 2
Constant second differences indicate a degree 2 (quadratic) sequence.
The general formulation can be written as ...
an = a1 +(n -1)(d1 +(n -2)/2(d2)) . . . . where a1 is the first term; d1 is the first first difference; d2 is the second difference
= -8 +(n -1)(0 +(n -2)/2(2)) = -8 +(n -1)(n -2)
an = n^2 -3n -6 . . . . . formula for the n-th term
