Answer:
1 . Total time = 1 hr 55 minutes
2 Distance = 121 km
Step-by-step explanation:
Mattew journey
stage a
Distance = 20km
Speed = 30km/h
Time = distance/speed
Time = 20/30
Time = 2/3 h
Time = 40 minutes
Stage b
Distance = 50 I'm
Speed = 100 km/h
Time = distance/speed
Time = 50/100
Time = 0.5 h
Time = 30 minutes
Stage c
Distance = 30 km
Speed = 40 km/h
Time = distance/speed
Time = 30/40
Time = 3/4 h
Time = 45 minutes.
Total time taken =( 40 + 30 + 45 ) minutes
Total time = 115 minutes
Total time = 1 hr 55 minutes
2.
Speed =60 km/h
Time= 6 minutes + x
And x = 1 hr 55 minutes
Time = 1 hr 55 minutes + 6 minutes
Time = 2 hr 1 minute
Time = 2.01666667 hr
Distance covered = speed * time
Distance = 60*2.016667
Distance = 121 km
3x + 1 = 1/3x + 9 Multiply through by 3
<span>9x + 3 = x + 27 Subtract x </span>
<span>8x + 3 = 27 Subtract 3 </span>
<span>8x = 24 </span>
<span>x = 3 </span>
<span>AK = 3*3 + 1 = 10 </span>
<span>AB = 2*AK = 20</span>
F(x) = -5x - 4
g(x) = 6x - 7
f(x) + g(x) = (-5x-4) + (6x-7)
f(x) + g(x) = x - 11
Based on the options given, the most likely answer to this query is one square and four triangles. The square triangle has one square which is at the bottom and three triangles above.
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Answer:
a) ∠DAE = 33°; ∠ABD = 57°
b) ∠CEB = 90°
c) ∠ABE = 22°
d) ∠ADE = 15°
Step-by-step explanation:
The diagonals of a rhombus meet at right angles. Each bisects the corner angles at its ends. Adjacent angles are supplementary, opposite angles are congruent, and each diagonal creates two isosceles triangles.
a) ∠DAE = 90° - ∠ADE = 90° -57°
∠DAE = 33°
∠ADE = ∠ABD = 57°
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b) ∠CEB = 90° . . . . . the diagonals meet at right angles
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c) ∠ABE = 44°/2
∠ABE = 22°
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d) ∠ADE = 90° -(1/2)∠DAB = 90° -150°/2
∠ADE = 15°
