Answer:
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Step-by-step explanation:
Answer:
Total distance covered by the maintenance worker = 9189.16 feet
Step-by-step explanation:
An amusement park has a diameter = 975 feet
Radius of the park =
r =
r = 487.5 feet
Since a maintenance worker walks around the park three times, that means he covers the circumference of the circle thrice.
Circumference = 2πr
C = 2π(487.5)
C = 975π feet
He covers this distance thrice,
So total distance covered by him = 3 × (975π)
= 2925π
= 9189.16 feet
Therefore, he walks 9189.16 feet per day.
Answer: The missing statements are,
In first blank: ∠2≅∠1
In second blank: AC≅AC
In third blank: Reflexive
Step-by-step explanation:
Since, The hypotenuse angle theorem states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent to each other.
Here, given:
∠D and ∠B are right angles.
DC ║ AB
Prove: Δ ADC ≅ Δ CBA
Statement Reason
1.∠D and ∠B are right angles 1. Given
2. ∠2 ≅ ∠1 2. If lines are parallel then interior angles
are equal
3. AC≅AC 3. Reflexive
4.Δ ADC ≅ Δ CBA 4. Hypotenuse angle theorem
We are given the retail price of desk as $320. The store takes 50% off of the retail price of desk, then its price would become half of the original.
So its new price would be $160.
Now it says that it takes an additional 20% off of all furniture on store's holiday sale. So we need to cut off 20% from new price $160.
Holiday discount = 20% of $160 = 0.2 × 160 = 32.
Final selling price would be = $160 - $32 = $128.
So $128 is the final answer.
4-7x= 39
Subtract 4 from both sides
-7x= 35
Divide both sides by -7
x= -5
The value of x+1= (-5)+1= -4.