Answer:
1. 16
2. Ram=70 Raj=110
3. d+2, d+4, d+6
Step-by-step explanation:
1. p+2=6
p=6-2
p=4
5p-4=5(4)-4
=20-4
=16
2. Raj=40+Ram
Ram+Raj=180
Ram+40+Ram=180
Ram+Ram=180-40
2Ram=140
Ram=140/2
Ram=70
Raj=40+70
Raj=110
3. d, d+2, d+4, d+6.
Answer:
46degrees
Step-by-step explanation:
From the question, we are told that both triangles are similar, hence;
<E = <S
<D = <R
<F = <T
From triangle DEF
<D + <F + <E = 180
Since <D = <F = 67
67 + 67 + <E = 180
134 + <E = 180
<E = 180 - 134
<E = 46degrees
Since <E = <S, hence the measure of <S is 46degrees
Answer:
Choice D is correct answer.
Step-by-step explanation:
We have given two function.
f(x) =2ˣ+5x and g(x) = 3x-5
We have to find the addition of given two function.
(f+g)(x) = ?
The formula to find the addition, we have
(f+g)(x) = f(x) + g(x)
Putting given values in above formula, we have
(f+g)(x) = (2ˣ+5x)+(3x-5)
(f+g)(x) = 2ˣ+5x+3x-5
Adding like terms, we have
(f+g)(x) = 2ˣ+8x-5 which is the answer.
Answer:
x= 127
w = 53
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is the length and w the width )
perimeter of rectangle A = 2(7) + 2(5) = 14 + 10 = 24 in
perimeter of rectangle B = 2(4x - 3) + 2x = 8x - 6 + 2x = 10x - 6 in
Equating the two gives
10x - 6 = 24 ( add 6 to both sides )
10x = 30 ( divide both sides by 10 )
x = 3
Thus
length of rectangle B = 4x - 3 = 4(3) - 3 = 12 - 3 = 9 in
Width of rectangle B = x = 3 in
