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Anton [14]
2 years ago
10

Solve for the ? in the diagram below.​

Mathematics
1 answer:
antoniya [11.8K]2 years ago
3 0

Answer:

step by step!

Step-by-step explanation:

let it be know, that ALL triangles equal up to 180 degrees. we know that triangle a has a 90 degree angle. first lets find the missing angle (purple question mark in triangle a): 25 + 90 = 115. 180 - 115 = 65.

you also know that the blue line is 180 degrees, so you can use the given measurement, 75, and the on you just found, 65, to find the last one. 65 + 75 = 140. 180 - 140 = 40 (purple question mark in triangle b).

now looking at triangle b, the given measurement, 40, and the one you just found, also 40, PLUS the ?, will equal 180. to do this you will do 40 + 40 = 80. 180 - 80 = 100.

? equals to 100 degrees.

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A class of 165 students went on a field trip. They
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answer

the number of buses is 3

the number of cars is 6

Step-by-step explanation:

total number of the students=165

total number of the vehicles=9

let x represent the number of cars

let y represent the number of buses

x+y=9...........equation 1

(the number of the cars plus the number of the buses= to the number of vehicles )

5x + 45y=165.......equation 2

(the number of student the car can hold plus the number of student the bus can hold= to the total number of the student in a class)

x+y=9.......eqn 1

5x +45y=165....eqn 2

make x the subject of the formula in eqn 1

x+y=9

x= 9-y

substitute for x= 9-y in eqn 2

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divide both sides by 40

40y÷40=120÷40

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