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3 years ago

Answer All The Questions

Mathematics

1 answer:

adell [148]3 years ago

5 0

Answer:

Step-by-step explanation:

From the attachment, we can see that

<EBF = 33°

<EBD = 33°

<FED = 114°

<FBD = 66°

Part 2

The value of y is either of 70 or -80. But then, we all know that speed can not be negative, so the speed was 70 km/h

The return speed is y + 10 = 70 + 10 = 80 km/h

Total time = 350/70 + 350/(70+10)

Total time = 5 + 4.375

Total time = 9.375 hr

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m∠HDG = 28°, m∠EFG = 50°, m∠DEG = 67°, m∠DGE = 65°

Solution:

Triangle sum property:

Sum of the angles of the triangle = 180°

In ΔDHG,

m∠HDG + 120° + 32° = 180°

m∠HDG + 152° = 180°

m∠HDG = 180° – 152°

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In ΔGEF,

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m∠EFG = 180° – 130°

m∠EFG = 50°

Sum of the adjacent angles in a straight line is 180°

m∠DEG + m∠DEF = 180°

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m∠DEG = 180° – 113°

m∠DEG = 67°

In ΔDGE,

m∠DGE + 48° + 67° = 180°

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m∠DGE = 180° – 115°

m∠DGE = 65°

Hence m∠HDG = 28°, m∠EFG = 50°, m∠DEG = 67°, m∠DGE = 65°.

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