Answer:
4,00 pounds
Step-by-step explanation:
You labeled the triangle wrong sides 'a' and 'b' are supposed to be the sides that make the right angle. the other side is called the hypotenuse which is the longest side which you should have labeled 'c'
so Pythagorean theorem says
a^2+b^2=c^2
so
(2x+1)^2+(11x+5)^2=(12x+1)^2
distribute
(4x^2+4x+1)+(121x^2+110x+25)=(144x^2+24x+1)
add like terms
125x^2+114x+26=144x^2+24x+1
subtract 125x^2 from both sides
114x+26=19x^2+24x+1
subtract 114x from both sides
26=19x^2-90x+1
subtract 26 from both sides
0=19x^2-90-25
factor
(x-5)(19x+5)=0
therefor x-5=0 and/or 19x+5=0
so
x-5=0 add 5 to both sides
x=5
19x+5=0
subtract 5 from both sides
19x=-5
divide both sides by 19
x=-5/19
since side legnths can't be negative, we can cross this solution out
so x=5
subtitute
1+2x
1+2(5)
1+10=11
side a=11
11x+5
11(5)+5
55+5=60
side b=60
12x+1
12(5)+1
60+1=60
side c=61
add them all up
side a+b+c=11+60+61=132=total legnth
In mathematical notation, ∑ means summation. So wherever you see the symbol, you have to sum over all elements in the set. Let's solve the question.
a. ∑m means, to sum all elements in the set m: ∑m = 12 + 15 + 20 + 30 = 77
b. ∑
means to sum all elements in the set f as the square of the elements f = 
c. ∑mf means to sum all elements as the product of the elements of m and f = (12×5) + (15×9) + (20
10) + (30×16) = 875
d. ∑
means to sum all elements as the product of the square of m and f = 
Answer:
<A = 18.6 Degree
<B =74.4 Degree
<C = 87 Degree
Step-by-step explanation:
Sum of all the angles of triangle is 180
as given ,
<A = ?
<B = 4<A
<C = 5 <A - 6
As per rule ,
<A + <B +<C = 180
<A + 4 <A + 5<A - 6 = 180
10 <A - 6 = 180
10 <A = 180 + 6
<A = 186 / 10
<A = 18.6 Degree
Hence ,
< B = 4 X (18.6)
< B = 74.4 Degree
and
<C = 5 (18.6) - 6
<C = 87 Degree
PROOF
<A + <B + <C = 180
18.6 + 74.4 + 87 = 180
180 = 180
