Answer:
Step-by-step explanation:
x^2+3y/xy
4^2+3*2/4*2
16+6/8
22/8
a. The value of x is 7
b. The measure of ∠1 is 99°
<h3>Calculating angles </h3>
From the question, we are to solve for x
From the given diagram, we can write that
m∠NMQ + m∠MQN + m∠QNM = 180° (<em>Sum of angles in a triangle</em>)
From the given information,
m∠NMQ = 5x +19
m∠MQN = 8x -11
m∠QNM = 11x + 4
Then,
5x + 19 + 8x -11 + 11x + 4 = 180
Collect like terms
5x + 8x + 11x = 180 - 19 + 11 - 4
24x = 168
∴ x = 168/24
x = 7
Hence, the value of x is 7
b.
Measure of ∠1 + m∠QNM = 180° (<em>Sum of angles on a straight line</em>)
∴ Measure of ∠1 = 180° - m∠QNM
But m∠QNM = 11x + 4
∴ m∠QNM = 11(7) + 4
m∠QNM = 77 + 4
m∠QNM = 81°
Then,
Measure of ∠1 = 180° - 81°
Measure of ∠1 = 99°
Hence, the measure of ∠1 is 99°
Learn more on Calculating angles here: brainly.com/question/25716982
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-4(2.5y-3.25) - 15.25 = -10y + box
-4(-0.75y) - 15.25 = -10y + box
3y-15.25 = -10y + box
-7y-15.25 = box
box and/or y = -22.25
i'm not 100 percent sure of my answer, but I'm pretty confident. If i am wrong, then all you need to do is distribute in the beginning.
Your unknown is the number of miles that will make the costs equal for both agencies. x is the number of miles. For the first agency, c1, we will represent the cost per mile as .15x. No matter how many miles you drive you will be paying a 25 dollar fee. The equation for this agency is c1(x) = .15x + 25. c2 is the other agency that charges .21 cents per mile which is expressed as .21x, and no matter how many miles you drive with that rental you are paying 18 dollars a day. That equation is c2(x) = .21x + 18. Now, the problem asks us, "...for what number of miles will the two plans be equal?" That means that it wants us to set those 2 equations we just wrote equal to each other and solve for x. .15x + 25 = .21x + 18. .06x = 7 and x=116.7. That means no matter what agency you pick to rent from, the cost at both will be the same when you have driven 116.7 miles. After that, one will be cheaper again (you could graph those lines to find out which one!), but at 116.7 miles exactly the rentals cost the same.
Answer:
Lo siento pero no tengo la respuesta