Answer:
x = 30 ∠A = 132 degrees
Step-by-step explanation:
Set the equations equal to each other to solve for x
5x - 18 = 3x + 42
-3x - 3x Subtract 3x from both sides
2x - 18 = 42
+ 18 + 18 Add 18 to both sides
2x = 60 Divide both sides by 2
x = 30
Now plug this into the equation for angle A
∠A = 5(30) − 18 Multiply
∠A = 150 - 18 Subtract
∠A = 132 degrees
If this answer is correct, please make me Brainliest!
Answer:
for part a i think it is the second one sorry if i do get it wrong and i couldnt answer the last one sorry
Step-by-step explanation:
Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2
+41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2
+ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2
+41x+28 as (15x^2
+20x)+(21x+28).
(15x^2
+20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
Answer:
Step-by-step explanation:
common difference d=3-1=2
first term a=1
an=a+(n-1)d
2n-1=1+(l-1)2
2n-1=1+2l-2
2n-1=2l-1
l=n
(i used l for number of terms)
number of terms=n
