Answer:
one pound of apple cost $2.5
Step-by-step explanation:
Let the amount they both spent at the grocery store be y and x be the price of apples per pound.
Since Tara bought 5 pounds of apples, 5x = y (1) and Ashley bought 3 pounds of apples and $5 worth other groceries, 3x + 5 = y (2).
Equating both expressions, 5x = 3x + 5
collecting like terms,
5x - 3x = 5
2x = 5
dividing both sides by 2, we have
x = 5/2
x = 2.5
So one pound of apple cost $2.5
Answer:
∠B ≅ ∠F ⇒ proved down
Step-by-step explanation:
<em>In the </em><em>two right triangles</em><em>, if the </em><em>hypotenuse and leg</em><em> of the </em><em>1st right Δ ≅</em><em> the </em><em>hypotenuse and leg</em><em> of the </em><em>2nd right Δ</em><em>, then the </em><em>two triangles are congruent</em>
Let us use this fact to solve the question
→ In Δs BCD and FED
∵ ∠C and ∠E are right angles
∴ Δs BCD and FED are right triangles ⇒ (1)
∵ D is the mid-point of CE
→ That means point D divides CE into 2 equal parts CD and ED
∴ CD = ED ⇒ (2) legs
∵ BD and DF are the opposite sides to the right angles
∴ BD and DF are the hypotenuses of the triangles
∵ BD ≅ FD ⇒ (3) hypotenuses
→ From (1), (2), (3), and the fact above
∴ Δ BCD ≅ ΔFED ⇒ by HL postulate of congruency
→ As a result of congruency
∴ BC ≅ FE
∴ ∠BDC ≅ ∠FDE
∴ ∠B ≅ ∠F ⇒ proved
Remember that a dilation stretches or compresses an object based on a given scale factor, therefore, the correct option is C
Answer:
G
Step-by-step explanation:
The least number which can be rounded off to 45,000 is 44,500. While the largest is 45,499.
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