7) BC + CD = BD

(4x - 29) + (5x-9) = 7x -10
9x - 38 = 7x - 10 (when you transpose you change the sign)
9x - 7x = - 10 + 38
2x = 28
x = 14

8) BD = BC

5x - 26 = 2x + 1
5x - 2x = 1 +26
3x = 27
x = 9
if x = 9, then BC = 2x + 1 = 2(9) + 1 = 19
or
AB = AC - BC
AB = 43 - 19
AB = 24

3 0

3 years ago

What is the value of n in this proportion? 8/12 = 10/n

Mademuasel [1]

8/1/2=10/n=2*(n-15)/3n*3n=0*3n. Now we do, 2*(n-15)=0, which gives us 2=0. N-15=0. So n=15. Therefore, the answer is n=15.

5 0

2 years ago

How do you know that the value of D will decrease when the value of N increases?

zlopas [31]

<h2>Explanation:</h2>

Hello! Remember you have to write complete questions in order to find good and exact answers. Here I'll assume that you need a relationship between D and N. So we know some facts:

As N increases, then D decreases

So this is an inverse relationship. We can write this as:

$D\propto \frac{1}{N} \\ \\ \\ \boxed{D=k\frac{1}{N}} \\ \\ \\ \text{Where k is a positive constant}$

Since N lies in the denominator, as it increases then D will decrease. So this is a correct relationship

5 0

2 years ago

Which pair of expressions is equivalent using the Associative Property of Multiplication?

liraira [26]

The Correct answer is D

6 0

2 years ago