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mixer [17]
3 years ago
12

Complete the explanation to determine whether each statement is always, sometimes, or never true. If quadrilateral PQRS is a rho

mbus and one diagonal has a slope of 4, then the other diagonal has a slope of
1/4 .
The diagonals of a rhombus are , so the product of the slopes of the diagonals is . Therefore, the diagonals of a rhombus have slopes of 4 and
1/4 , since 4 · 1/4 −1. The statement is true.
Mathematics
1 answer:
dimaraw [331]3 years ago
4 0

Answer:

True I believe

Step-by-step explanation:

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The equation y = 1/5x represents a proportional relationship. Explain how you can tell the relationship is proportional from the
andre [41]
If a graph is proportional then the line will go through the origin at point (0, 0). If the equation is proportional then it will be in the form of y=kx with no other operations after. The constant of proportionality is another way to say the slope and in your specific equation the slope would be 1/5.
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The ratio of boys to girls in WIN is 2:3. If there are 8 boys how many girls are there
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If there is 8 boys then there is 12 girls because 2x4=8 boys so 3x4=12 girls.

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3. Donnell is doing market research for a major brand by surveying customers at a local mall.
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8 0
2 years ago
Use substitution to solve the system of equations<br> Y+x=3<br> Y=1.5x+1
Serjik [45]

The solution to given system of equation is (x, y) = (0.8, 2.2)

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

y + x = 3 --------- eqn 1

y = 1.5x + 1 ---------- eqn 2

We have to solve the above system of equations by substitution method

<em><u>Substitute eqn 2 in eqn 1</u></em>

1.5x + 1 + x = 3

Combine the like terms

2.5x + 1 = 3

Move the constants to Right hand side of equation

2.5x = 3 - 1

2.5x = 2

x = 0.8

<em><u>Substitute x = 0.8 in eqn 2</u></em>

y = 1.5(0.8) + 1

y = 1.2 + 1

y = 2.2

Thus the solution to given system of equation is (x, y) = (0.8, 2.2)

7 0
3 years ago
7 3/8 + (-4 1/2) ÷ (-5 2/3) Please Explain
krek1111 [17]

Answer:

7 3/8 + (-4 1/2) ÷ (-5 2/3) = 8 23/136

Step-by-step explanation:

1) First I turned all the mix numbers into improper fractions:

7 3/8 ----> ( 7(8)+3/8) = 59/8, 4 1/2 ----> (4(2)+1/2) = 9/2, 5 2/3 ---->  (5(3)+2/3) = 17/3

So now it should look like this: 59/8 + (-9/2)÷(-17/3)

2) Now our goal is to divide both of the improper fractions (-9/2)÷(-17/3),

- We first apply our fraction rule:  -a/-b = a/b (when we have two negatives they cancel out each other and make a positive)

Our Case, From this:-9/2 ÷ -17/3 = To This: 9/2 ÷ 17/3

3) Now we can divide the fractions using this rule: a/b ÷ c/d = a times d / b times

Our Case, From This: 9/2 ÷ 17/3 To This: 9(3)/2(17) Which Gives Us: 27/34

(9 x 3 = 27, 2 x 17= 34)

So now it looks like this: 59/8 +27/34

4) Our look goal is to have the same denominator (which is the bottom part of the fraction)  which are 8 and 34

To find it we find the LCM or Least Common Multiple of 8 and 34

(The LCM of a, b is the smallest positive number that is divisible by both a and b) which in this case a and b are 8 and 34  

LCM is 136

5) We adjust our two fractions based on the LCM,

(Multiply each numerator ( top part of the fraction)  by the same amount of needed to multiply its corresponding denominator to turn it to the LCM 136.

From This: 59/8  and 27/34 To This: 1003/136 and 108/36 ( 59(17)/8 (17) = 1003/136, 27(4)/34(4) = 108/306

6) Finally we can add the numerator (1003 and 108) together: 1003+108= 1111 and now we are left with 1111/136

Then we turn our improper fraction back into a mix number: 1111/138= 8 23/136

3 0
3 years ago
Read 2 more answers
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