Answer:
m∠PQR = 133
Step-by-step explanation:
∠PQR and ∠RQS are supplementary angles, meaning they have a sum of 180°.
3x - 5 + x + 1 = 180
4x - 4 = 180
4x = 184
x = 46
Now we simply substitute 46 in for x:
3(46) - 5 = 133
Answer:
6d
Step-by-step explanation
First, you need to multiply 2d by 3, which you'll get 3d.
Next, multiply both numbers (2d and 3d) and you'll have 6d because 2 times 3 equals 6 but, since you have valuables you'd have to put d as the valuables of both numbers then multiply the numbers.
Answer:
A. m and n both are positive is correct choice.
Step-by-step explanation:
We have been given that When factoring a trinomial of the form ax2 + bx + c where a, b, and c are all positive. That means:
a>0
b>0
c>0
Then ac>0 as product of same sign numbers is always positive.
Positive produce ac is possible only when both factors are of same sign.
In this situation, b>0 is possible only if both numbers are positive.
Hence choice A. m and n both are positive is correct choice.
Answer:
x =72
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
x+77+31 = 180
Combine like terms
x + 108 = 180
Subtract 108 from each side
x+108-108 = 180-108
x =72
