The small number is 2.
The large number is 3.
<u>Step-by-step explanation:</u>
Let the two consecutive numbers be x and x+1.
- x be the small integer.
- x+1 be the large integer.
The sum of these two consecutive integers = small integer + large integer
The sum of these two consecutive integers is x+x+1 = (2x+1)
It is given that,
- The sum of two consecutive integers is one less than three times the smaller integer.
- This means that, (2x+1) is one less than three times the smaller integer.
- Here, the small integer is represented as x.
<u>Therefore, it can determined that :</u>
(2x+1) = 3x-1
Keeping x term on one side and constants on other side,
3x-2x = 1+1
x = 2
Therefore, the small number is 2 and the large number is x+1 = 3.
Simplifying
j = (2j + 3)
Reorder the terms:
j = (3 + 2j)
Remove parenthesis around (3 + 2j)
j = 3 + 2j
Solving
j = 3 + 2j
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-2j' to each side of the equation.
j + -2j = 3 + 2j + -2j
Combine like terms: j + -2j = -1j
-1j = 3 + 2j + -2j
Combine like terms: 2j + -2j = 0
-1j = 3 + 0
-1j = 3
Divide each side by '-1'.
j = -3
Simplifying
j = -3
Answer:
The answer is b = 6
Step-by-step explanation:
Area of a triangle= 1/2 × b × h
A = 21, h = 7, b = ?
21 = 1/2 × b × 7 (multiplying through)
21 = 7b/2
Cross multiply
2 × 21 = 7b
42 = 7b
b = 42/7
b = 6
Answer:
The value of x is 16.
Step-by-step explanation:
We are given the following in the question:
c and d are complementary angles.
Measure of c = 
Measure of d = 26
Since c and d are complementary, we can write from property of complementary:
Putting values, we get,
Thus, value of x is 16.
