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SSSSS [86.1K]
3 years ago
12

1. The Senior Class of Great Ridge High School and Ann Arbor High School are planning a trip to Six Flags Theme Park. Great Ridg

e High school is planning to rent and fill 14 vans and 16 busses with 1152 students. Ann Arbor High School is planning to fill 10 vans and 13 buses with 925 students.
Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Let , capacity of vans and buses is x and y .

Great Ridge High school is planning to rent and fill 14 vans and 16 buses with 1152 students.

14x + 16y = 1152  

7x + 8y = 576     ...... 1)

Ann Arbor High School is planning to fill 10 vans and 13 buses with 925 students.

10x + 13y = 925  ...... 2)

Solving equation 1 and 2 , we get :

x = 8 and y = 65 .

Therefore , capacity of van is 8 and bus is 65 .

Hence , this is the required solution .

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The range is the interval of y values.
Smallest y values is -9 and the highest y values is 9.
So the range is -9 \leq y \leq 9
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3 years ago
The point-slope form of the equation of the line that passes through (-4,-3) and (12, 1) is y-1 =
ivolga24 [154]

Answer:

x-4y=8

Step-by-step explanation:

4 0
3 years ago
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Based on the information given say whether or not △ABC∼△FED. Explain your reasoning.
GalinKa [24]

Answer:

Yes, △ABC ∼ △FED by AA postulate.

Step-by-step explanation:

Given:

Two triangles ABC and FED.

m∠A = m∠B

m∠C = m∠A + 30°

m∠E = m∠F = x

m∠D = 2x-20°.

Now, let m∠A = m∠B = y

So, m∠C = m∠A + 30° = y+30

Now, sum of all interior angles of a triangle is 180°. Therefore,

m∠A + m∠B +  m∠C = 180

y+y+y+30=180\\3y=180-30\\3y=150\\y=\frac{150}{3}=50

Therefore, m∠A = 50°, m∠B = 50° and m∠C =  m∠A + 30° = 50 + 30 = 80°.

Now, consider triangle FED,

m∠D+ m∠E + m∠F = 180

2x-20+x+x=180\\4x=180+20\\4x=200\\x=\frac{200}{4}=50

Therefore,  m∠F = 50°  

m∠E = 50° and  

m∠D =  2x-20=2(50)-20=100-20=80\°

So, both the triangles have congruent corresponding angle measures.

m∠A = m∠F = 50°

m∠B = m∠E = 50°

m∠C = m∠D = 80°

Therefore, the two triangles are similar by AA postulate.

5 0
3 years ago
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions
EleoNora [17]

Answer:

<h3> X = 2 , X = -3</h3>

Option C is the correct option.

Step-by-step explanation:

f(x) = a {x}^{2}  + bx + c

Discriminant = {b}^{2}  - 4ac

Given d = 15

When discriminant D > 0 --> roots are real and distinct. ( unequal )

So , {3}^{rd} option has real and distinct roots.

Hope this helps..

Best regards!!

4 0
4 years ago
Pls need due in 10 minutes
denpristay [2]

Answer:

392.00

Step-by-step explanation:

I'm pretty sure you just multiply the 46m x 2 and 150 x 2 both = the length of the whole track. and then add the two together

3 0
3 years ago
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