Complete the congruence statement

Mike is putting a ladder up against his mothers house to clean the roof. His mothers house is 24 feet tall and he is placing the

levacccp [35]

The length of the ladder is 25 feet.

Explanation:

Height of the House, h = 24 feet

Distance between the house and the ladder, b = 7 feet

length of the ladder, x = ?

The house makes 90° with the base of the ladder.

Using pythagoras theorm,

x² = h² + b²

x² = (24)² + (7)²

x = √625

x = 25

Therefore, the length of the ladder is 25 feet.

3 0

3 years ago

How to get the interval?

lukranit [14]

Step-by-step explanation:

Decide on the number of classes.

Determine the range, i.e., the difference between the highest and lowest observations in the data.

Divide range by the number of classes to estimate approximate size of the interval

hope it helps.

<h2>stay safe healthy and happy...</h2>

5 0

3 years ago

What is the y intercept of the line? A: 0 B: 1 C: 1/2 D: -2

taurus [48]

Check the picture below.

4 0

1 year ago

The product of (a − b)(a − b) is a perfect square trinomial

SOVA2 [1]

Answer:

always

Step-by-step explanation:

this product can also be written as a^2 - ab - ab + b^2

which is a^2 - 2(ab) + b^2

a perfect square trinomials equation is

a^2 + 2(ab) + b^2

and this qualifies

6 0

2 years ago

A cell phone company charges a $10 flat fee plus $0.05 per minute for minutes up to 600. For minutes over 600, the company

mash [69]

Answer:

In both the cases, the given total amount is given as:

T = 10 + 0.05 m (when minutes talked m < 600)

T = 40 + 0.15 k (when minutes talked k > 600)

Step-by-step explanation:

Here, the flat fee by the phone company = $10

The charge for each minute for first 600 minutes = $0.05

The per minute cost after 600 minutes = $0.15

Let us assume the number of minutes talked = m

Case 1: when the minutes talked is less than 600 minutes.

Total Charges = Flat Fee + 0.05 x ( the minutes talked)

or, T = $10 + m ($0.05)

or T = 10 + 0.05 m (when m < 600)

Case 2: when the minutes talked is more than 600 minutes.

Let us assume the minutes talked over 600 = k minutes

Total Charges = Flat Fee + Charges for 600 minutes + 0.15 x ( the minutes talked over 600)

or, T = $10 + 600 ($0.05) + k($0.15)

or T = 10 + $30 + 0.15 k (when k > 600)

⇒ T = 40 + 0.15 k (when k > 600)

Hence, in both the cases, the given total amount is given as:

T = 10 + 0.05 m (when m < 600)

T = T = 40 + 0.15 k (when k > 600)

7 0

3 years ago