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Aleksandr-060686 [28]
3 years ago
9

For rectangle WXYZ with diagonals WY and XZ, WY = 3d + 4 and XZ = 4d - 1, find the value of d

Mathematics
1 answer:
taurus [48]3 years ago
7 0
The diagonals of a rectangle are congruent  ⇒

4d - 1 = 3d + 4
4d - 3d = 4 + 1
d = 5
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SpyIntel [72]

Answer:

You buy six newspaper ads & eighteen social media ads.

Step-by-step explanation:

First, we change ads into variables to be more easier to calculate :

Let newspaper = x

Let social media = y

Second, make this variables into an equation, given that you purchase a total of 24 ads :

x + y = 24 (first equation)

Next, given that x = $18.50 & y = $26.50 & spent a total of $588 so you can make another equation :

18.50x + 26.50y = 588 (second equation)

Now, solve this simultaneous equation using elimination or substitution (depends on you) :

substitution =>

x + y = 24 ----------(1)

18.50x + 26.50y = 588 ---------(2)

(1)=> y = 24 - x ------(3)

(3)=>(2) 18.5x + 26.5(24-x) = 588

18.5x + 636 - 26.5x = 588

-8x = -48

x = 6

sub x=6 into(3)

(3)=> y = 24 - 6

= 18

newspaper = x

= 6

social media = y

= 18

6 0
2 years ago
What is 3 2/9 * -1 5/7
oksian1 [2.3K]

Answer:

-116/21  or -5 11/21

Step-by-step explanation:

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3 years ago
1.What is the equation of the line perpendicular to  that passes through ? Write your answer in slope-intercept form. Show your
Juliette [100K]

Answer:

1. Use a compass to make arc marks which intersect above and below then connect.

2. y=\frac{1}{3}x + 2

Step-by-step explanation:

1. To construct a perpendicular line, use a compass to draw arc marks from one end of the segment through point P. Then repeat this again at the other end. This means at point P there will be two intersecting arc marks. Repeat the process down below with the same radius as used above. Then connect the two intersections.

2. The point slope form of a line is (y-y_1)=m(x-x_1) where x_1=-3\\y_1=1. We write  

(y-1)=m(x--3)\\(y-1)=m(x+3)  

Since the line is to be perpendicular to the line shown it will have the negative reciprocal to the slope of the function 3x+y =-8. To find m, rearrange the function to be y=-8-3x. The slope is -3 and the negative reciprocal will be 1/3.

(y-1)=\frac{1}{3}(x+3)  

Simplify for slope intercept form.

(y-1)=\frac{1}{3}(x+3)\\(y-1)=\frac{1}{3}x+1\\y=\frac{1}{3}x + 2


3 0
3 years ago
Zach spent 2/3 hour reading on Friday and 1 1/3 hours reading on Saturday. How much more time did he read on Saturday than on Fr
hodyreva [135]
Subtract.

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Convert 1 1/3 into an improper fraction:

4/3 - 2/3

Subtract the numerators together:

2/3

So he read 2/3 more time on Saturday than on Friday.
7 0
3 years ago
Read 2 more answers
Sally has just finished her thirty-fifth year with her company and is getting ready to retire. During her thirty-five years, Sal
olya-2409 [2.1K]

The <em>correct answer</em> is:

$19,153.26.

Explanation:

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To find 42% of a number, we first convert the percent to a decimal: 42% = 42/100 = 0.42.

Next we multiply this by the number we're taking the percent of:

0.42(45603) = 19153.26.

7 0
3 years ago
Read 2 more answers
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