Answer:
An inequality is a mathematical statement that EXPLAINS the relative values of two expressions.
Answer:
(-9, 9)
Step-by-step explanation:
Each coordinate is multiplied by the scale factor.
B' = 3B
B' = 3(-3, 3)
B' = (-9, 9)
Answer:
14°
Step-by-step explanation:
Both angles are vertical angles and are opposite, hence, from angle theorem., vertically opposite angles are equal :
Angle EGD = Angle FGH
Angle EGD = (4x + 8)
Angle FGH = 64
HENCE,
4x + 8 = 64
4x = 64 - 8
4x = 56
x = 56/4
x = 14°
The distance of the run Will be 16miles and the Distance of the bicycle race will be 81 miles.
<h3>What is speed?</h3>
Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
Distance = average velocity × time
Let the time and distance of the run, respectively, be t₁ and.d₁
Let those of the bicycle race be t₂ and d₂
From the question,
t₁ + t₂ = 5
d₁ = 8t₁
d₂ = 27t₂
Total distance = 97
8t₁ + 27t₂ = 97
8 ( 5 - t₂ ) + 27t₂ = 97
40 - 8t₂ + 27t₂ = 97
40 + 19 t₂ = 97
19t₂ = 57
t₂ = 3 hours
t₁ + t ₂ = 5
t₁ = 5 - t₂
t₁ = 5 - 3 = 2 hours
Now the distances are calculated as:-
d₁ = 8t₁ = 8 x 2 = 16 miles
d₂ = 27t₂ = 27 x 3 = 81 miles
Therefore the distance of the run Will be 16miles and the Distance of the bicycle race will be 81 miles.
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