Answer:
Step-by-step explanation:
If P, Q and S are collinear, then the three points lies on the same straight line.
If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;
<P Q R + <R Q S = 180
Given
<R Q S =x+1
<P Q R = 3x-5
Substitute the given expression into the formula and calculate x;
3x-5+x+1 = 180
collect like terms
3x+x - 5+1 = 180
4x-4 = 180
4x = 180+4
4x = 184
divide both sides by 4
4x/4 = 184/4
x = 46°
To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.
m∠PQR = 3x-5
m∠PQR = 3(46) - 5
m∠PQR = 138 - 5
m∠PQR = 133°
Hence the measure of angle m∠PQR is 133°
The people will there need to be in order for the second company to be less expensive in 1st restaurant.
Always assume the unknowns are variables when attempting to find them, and then construct the equation using the parameters specified in the question.
Admission fee for 1st restaurant = $1
Charge for 1st restaurant per person = $7
Admission fee for 2nd restaurant = $15
The number of employees required for 2nd restaurant need to have in order to be less expensive = x
Total amount needed for 1st restaurant = $1 + $7 = $8
To make the 2nd restaurant less expensive =
As the total amount of 1st restaurant is $8 and the admission fee 2nd restaurant itself is $15 2nd restaurant is more expensive than the 1st one.
To learn more about Word problems related to arithmetic operation from the link:
brainly.com/question/24464054
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Answer:
False.
Step-by-step explanation:
If they have the same slope and same intercept they will have the same line. So they will have infinite solutions.
Answer: A(b+c)
Step-by-step explanation: Since you're multiplying A and A you would add the B+C