Answer:
x = 14
A = 38
B = 71
C = 71
Step-by-step explanation:
Since we have a triangle, the addition of the measure of all the measure of the angles give 180
Thus;
3x-4 + 5x + 1 + 7x-27 = 180
15x-30 = 180
15x = 180 + 30
15x = 210
x = 210/15
x = 14
To get the measure of each of the angles, we substitute for x
A = 3x-4 = 3(14) - 4 = 38
B = 5x + 1 = 5(14) + 1 = 70 + 1 = 71
C = 7x - 27 = 7(14) - 27 = 98-27 = 71
Answer:
a = - 2, b = - 6
Step-by-step explanation:
Substitute the values of the zeros into the polynomial and equate to zero.
x² +(a + 1)x + b
x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is
4 - 2a - 2 + b = 0
2 - 2a + b = 0 ( subtract 2 from both sides )
- 2a + b = - 2 → (1)
x = 3 → 3² + 3(a + 1) + b = 0, that is
9 + 3a + 3 + b = 0
12 + 3a + b = 0 ( subtract 12 from both sides )
3a + b = - 12 → (2)
Subtract (1) from (2) term by term to eliminate b
5a = - 10 ( divide both sides by 5 )
a = - 2
Substitute a = - 2 into either of the 2 equations and evaluate for b
Substituting into (2)
3(- 2) + b = - 12
- 6 + b = - 12 ( add 6 to both sides )
b = - 6
Thus a = - 2 and b = - 6
sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250
<u>Step-by-step explanation:</u>
We need to find sum of sequence : 46 + 42 + 38 + ... + (-446) + (-450)
Given sequence is an AP with following parameters as :
So , Let's calculate how many terms are there as :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Sum of an AP is :
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250
Answer:
d?
Step-by-step explanation:
