Answer:
x ≈ 121.2 ft
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan60° = 
= 
( multiply both sides by 70 )
70 × tan60° = x , then
x ≈ 121.2 ft ( to 1 dec. place )
5 people attended the fair bc 9x5is 45 plus 6 for parking makes 51
Answer:
Step-by-step explanation:
The given expression describes the GP with
<u>The first term:</u>
- t = 80(1.23²⁻²) = 80(1.23⁰) = 80
<u>The common ratio: </u>
It is required to find the sum of the terms from 2 (the bottom number of sigma) through 29 (the top number of sigma)
The number of terms is
The sum of the first 28 terms is
- Sₙ = t(rⁿ - 1)/(r - 1)
- S₂₈ = 80(1.23²⁸ - 1)/(1.23 - 1) = 114125.75573 ≈ 114126 (rounded)
Answer:
Sorry I cant but can someone please answer the equation on my page?
Step-by-step explanation:
Answer:
A rectangle has congruent diagonals
Step-by-step explanation:
* Lets explain how to solve the problem
- In any rectangle each two opposite sides are parallel and equal
- All the angles of a rectangles are right angles
- To prove that the diagonals of a rectangle are congruent, we will use
the SAS case of congruent
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and
including angle in the 2nd Δ
* Lets solve the problem
∵ ABCD is a rectangle
∴ AD = BC
∴ AB = CD
∴ m∠A = m∠B = m∠C = m∠D = 90°
∵ AC and BD are the diagonals of the rectangle
- In the 2 triangles ADC and BCD
∵ AD = BC ⇒ opposite sides in a rectangle
∵ m∠ADC = m∠BCD ⇒ all angles are equal in the rectangle
∵ DC = CD ⇒ common side in the two triangles
∴ ΔADC ≅ ΔBCD ⇒ SAS
- From congruent
∴ AC = BD
∵ AC and BD are the diagonals of the rectangle
∴ The diagonals of the rectangle are congruent
* A rectangle has congruent diagonals
