Hint: Find the value of x first, then subsitute the answer into 2x- 24.

Mathematics

1 answer:

Artemon [7]2 years ago

8 0

Step-by-step explanation:

$\because \: \angle \: BCD = \angle \: BFG \\ (corresponding \: angles) \\ \therefore \: x + 26 \degree = 2x - 24\degree \\ \therefore \: x - 2x = - 26 \degree- 24\degree \\ \therefore \: - x = - 50\degree \\ \therefore \: x = 50\degree \\ \\ \therefore \: m \: \angle \: BFG = 2x - 24\degree \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 50\degree - 24\degree \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:= 100\degree - 24\degree \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:= 76\degree \\ Hence, \\ \huge \red{ \boxed{ \: m \: \angle \: BFG =76\degree }}$

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There is a 96% customer retention rate for the third quarter.

Given

Jenny owns a salon.

She had 150 customers at the end of the third quarter, 151 customers at the beginning of the third quarter, and five new customers in the third quarter.

<h3>Customer retention rate</h3>

It determines the percentage of customers that the company has retained over a given period.

The customer retention rate is determined by;

$\rm Customer \ retention \ rate=\dfrac{Given \ period -New \ customers}{Initial \ number}\times 100$

Substitute all the values in the formula;

$\rm Customer \ retention \ rate=\dfrac{Given \ period -New \ customers}{Initial \ number}\times 100\\\\\rm Customer \ retention \ rate=\dfrac{150-5}{151}\times 100\\\\ Customer \ retention \ rate=\dfrac{145}{151}\times 100\\\\ Customer \ retention \ rate=0.96 \times 100\\\\ Customer \ retention \ rate=96$