Answer:
sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318
Step-by-step explanation:
The given AP is,
1, -4, -9, -14, . . .
first term a = 1,
common difference d = -4 - 1 = -5
number of terms n = 12
<u>Equation:</u>
Sum of n terms of AP, S₁₂ = n/2[2a + (n - 1)d]
S₁₂ = 12/2[(2*1) + (12 - 1)*(-5)]
S₁₂ = 6[2 + (11*(-5))]
S₁₂ = 6[2 - 55] = 6*(-53) = -318
Therefore sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318
Answer:
The given information tells us that AFD is either an equilateral or isosceles triangle. We can see by the diagram that it is not equilateral, so the correct answer here would be the second one, "Isosceles".
Answer:
The measure of angle MNP is
m ∠ MNP = (x - y)/2
Explanation:
The image attached shows the figure corresponding to this question.
The angle MNP, which is also the angle LNP, is formed by the intersection of a secant and a tangent to a circle.
Then, you can use the theorem:
the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.
The major arc formed is identified with the letter x and the minor arc is identified with the letter y. Thus, the measure of the angle MNP is half the difference x - y:
m ∠ MNP = (x - y)/2
Brainliest please
Answer:
x=10
A = 84
Step-by-step explanation:
A and B are supplementary angles so they add to 180 degrees
A + B =180
2x+76 + 5x+34 = 180
Combine like terms
7x+ 110 = 180
7x+110-110 = 180-110
7x = 70
Divide by 7
x = 10
Now find A
A = 5x+34
A = 5*10 +34
= 50+34
A = 84
