Answer:
A.88°
Step-by-step explanation:
Given,
RT is the diameter of the circle with center Q.
We have to find the measure of ∠RQS.
Solution,
Since RT is the diameter. That is it makes a straight angle at the center Q.
And measure of straight angle is 180°.
So we can say that ∠RQS and ∠SQT makes a straight angle.
Now substituting the given values, we get;
We get the value of 'x'.
By substituting the value of x, we can find the measure of ∠RQS.
Hence the measure of ∠RQS is 88°.
Answer:
Given the equation: 9(x+1) = 25+x
Distributive property of multiplication over addition states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately i,e,
Then, by using distributive property on LHS in the given equation we have;
9x+9 =25 +x
Subtract 9 from both the sides;
9x+9-9=25+x-9
Simplify:
9x = 16+x
Subtract x from both the sides we get;
9x-x=16+x-x
Simplify:
8x=16
Divide both sides by 8 we have;
On Simplify:
x =2
Therefore, the value of x for the equation 9(x+1) = 25+x is, 2
