Answer:
The ordered pair is a solution to the equation
Step-by-step explanation:
Plug the ordered pair into the equation as (x,y):
y = -x + 8
4 = -4 + 8
4 = 4
Since both sides are equal to each other, then the ordered pair is a solution to the equation.
The value of angle Z is 30 degrees
<h3>How to determine the value of angle Z?</h3>
The given parameters are:
ABC is dilated to form XYZ
This means that the triangles ABC and XYZ are similar triangles and the corresponding angles are equal
So, we have the following angle equations
A = X
B = Y
C = Z
Also, we have
A + B + C = 180
Substitute C = Z in A + B + C = 180
A + B + Z = 180
Substitute A = 45 and B = 105
So, we have:
45 + 105 + Z = 180
Evaluate the like terms
150 + Z = 180
Subtract 150 from both sides
Z = 30
Hence, the value of angle Z is 30 degrees
Read more about angles at:
brainly.com/question/25716982
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Answer: 195
Step-by-step explanation:
Cost per student = $4
Total number who attended = n
The cost of the total of student who attended will be cost per student multiplied by the total number of students, that is
Total cos = 4n
Since, they are to pay $140 , for publicity, then the total cost becomes
T = 4n - 140
From the last statement
4n - 140 ≥ 640
4n ≥ 640 + 140
4n ≥780
n ≥ 780/4
n ≥ 195
That means at least 195 students must attend if the science club is to earn at least $ 640
Answer:
https://youtu.be/wOH_gVtidns
I recorded a video of myself explaining it hope it helps ;)
Step-by-step explanation:
36(x squared) but I can’t write subscript on a phone