Answer:
m∠SQR = 74°
Step-by-step explanation:
Points P, Q and R are collinear.
Therefore, angles PQR and angle RQS are the linear pair of angles.
Since linear pair of angles are supplementary angles.
m∠PQR + m∠RQS = 180°
By substituting the measures of the given angles,
(3m + 1) + (2m + 4) = 180
5m + 5 = 180
5m = 180 - 5
5m = 175
m = 
m = 35
Since, m∠SQR = (2m + 4)°
= (2×35) + 4
= 74°
Therefore, m∠SQR = 74° is the answer.
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Answer:
10x^3 - 34x^2 + 33x - 7
Step-by-step explanation:
Multiply each term of the trinomial by each term of the binomial. Then combine like terms.
(2x^2 - 4x + 1)(5x - 7) =
= 10x^3 - 14x^2 - 20x^2 + 28x + 5x - 7
= 10x^3 - 34x^2 + 33x - 7
Answer: 5/24
Step-by-step explanation:
First:
Reduce fractions where possible.
Then your initial equation becomes:
5/16 * 2/3
Second:
Applying the fractions formula for multiplication,
5*2 and 16*3 = 10/48
Simplifying 10/48, the answer is
5/24