Answer:
a
Step-by-step explanation:
The base angles PHJ and PJH are congruent , meaning ΔaPHJ is isosceles and so
HP = JP, thus
3x - 6 = x + 2 ( subtract x from both sides )
2x - 6 = 2 ( add 6 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Hence
HP = 3x - 6 = (3 × 4) - 6 = 12 - 6 = 6 → a
The value of x is 11
Because both the angles should be equal
The total number of children can be calculated using linear equation in one variable. The marbles are shared among 7children.
<u>Solution</u>
Total number of marbles = 47
The number of marbles received by each child = 6
Let the number of children be x
Then according to the question'
Total number of marbles received by all children + 5 = Total number of marbles
6x + 5 = 47
6x = 47- 5
6x = 42
x = 7
now, the number of children is 7.
<h3>What is linear equation in one variable?</h3>
- An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
- A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
- Here, the variables x and y, the coefficients A and B, and the constant C are all present.
- A linear equation's graph will always be a straight line.
- One-variable linear equations are fairly simple to solve. To determine the value of the unknown variable, the variables are divided and placed on one side of the equation, and the constants are combined and placed on the other side.
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3/4 divided by 1/16 = 3/4 x 16 = 12 servings
