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If a=8 and b=5 and x=4 and y=6m -2 what is the value of m ?

Serga [27]

Answer:

m = 2

Step-by-step explanation:

Given:

x = 4

y = 6m - 2

a = 8

b = 5

Required:

Value of m

SOLUTION:

x and y are segments of a chord divided when it intersects another chord that also has segments a and b.

According to the Intersecting chords theorem, $a*b = x*y$

Thus:

$8*5 = 4*(6m - 2)$

Solve for m

$40 = 24m - 8$

$40 + 8 = 24m - 8 + 8$

$48 = 24m$

$\frac{48}{24} = \frac{24m}{24}$

$2 = m$

The value of m = 2

3 0

3 years ago

Josh is making 3 recipes one requires 2/3 cups of flour and otherwise 7/8 of a cup of flour in the third requires 3/4 cup of flo

kati45 [8]

Answer:

2 7/24C

Step-by-step explanation:

Start by finding the common denominator. In this case, it's 24. Next, start translation.

2/3C = 16/24C

7/8C = 21/24C

3/4C = 18/24C

Then find the sum.

16/24C + 21/24C + 18/24C = 55/24C = 2 7/24C

5 0

3 years ago

the number of the students of a school was 640 last year and it is 800 by how many percent is the number increased

yuradex [85]

Answer:

The number of students would have increased by 25%.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A linear function is written:<br> f(x) = 3/2x-4<br> What is the value of f(5)?

valentinak56 [21]

Answer:

$f(5)=3.5$

Step-by-step explanation:

$f(x)=\frac{3}{2}x-4\\f(5)=\frac{3}{2}(5)-4\\f(5)=7.5-4\\f(5)=3.5$

Hope this helped!! Have an amazing day :D

4 0

3 years ago

Which expression results from using the Distributive Property? 2(5 + 3r)

Natasha_Volkova [10]

Answer:

6r + 10

Explanation:

2(5 + 3r)

= (2)(5 + 3r)

= (2)(5) + (2)(3r)

= 10 + 6r

= 6r + 10

5 0

3 years ago