a. Find the value of a.
b. Find the value of the marked angles.
(4a+12)Little open circle symbol outside barckets near top right side of number 12.
(3a+ 32) again little open circle symbol outside brackets near top right side of number 32.
not drawn to scale
a. 22;100 (little open circle on top right side of number 100).
b. 19; 88 (little open circle symbol on top right side of number 88
c. 20 ; 92 ( little open circle symbol on top right side of number 92.
d. 24; 108 (little open circle symbol on top right side of number 108)
a. Find the value of a.
b. Find the value of the marked angles.
Test Image
To find the value of variable a and the marked angles, we can solve the equations given. Let's go step by step:
a. To find the value of a, we can equate the expressions inside the parentheses to their respective given values:
4a + 12 = 22
First, subtract 12 from both sides to isolate the term with the variable:
4a = 22 - 12
Simplifying,
4a = 10
Next, divide both sides by 4 to solve for a:
a = 10 / 4
The value of a is:
a = 2.5
Therefore, the value of a is 2.5.
b. To find the value of the marked angles, we can follow a similar process using the expressions inside the parentheses:
3a + 32 = 88
First, subtract 32 from both sides:
3a = 88 - 32
Simplifying,
3a = 56
Next, divide both sides by 3:
a = 56 / 3
The value of a is approximately:
a = 18.67
Similarly, we have:
3a + 32 = 92
Subtracting 32 from both sides gives:
3a = 92 - 32
Simplifying,
3a = 60
Dividing by 3:
a = 60 / 3
The value of a is:
a = 20
Finally, for the third equation:
3a + 32 = 108
Subtracting 32 from both sides:
3a = 108 - 32
Simplifying,
3a = 76
Dividing by 3:
a = 76 / 3
The value of a is approximately:
a = 25.33
So, the values of the marked angles are approximately:
Angle 1: 18.67 degrees
Angle 2: 20 degrees
Angle 3: 25.33 degrees
Please note that the marked angles are approximate values, as they involve dividing by 3.