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GalinKa [24]
3 years ago
15

Determine whether parallelogram JKLM with vertices J(-3, -2), K(2, -2), L(5, 2) and M(0, 2) is a rhombus, square, rectangle or a

ll three.
Mathematics
1 answer:
ioda3 years ago
3 0
Basically its a square .. But we all know that a square is both rectangle and rhombus .. Hence, this parallelogram JKLM is all three ( square, rectangle and rhombus )
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Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a wid
slava [35]

Answer: h(h-3)(h+4)  

Step-by-step explanation:

To find the volume of rectangular-shaped box  we will have to multiply the length by the width by the height.

Given the statements  we can determine the  length with the equation

L = h -3  where l is the length and h is the height.

the width can also be represent by the equation

w = h + 4        

The height is is h and the length is h- 3  and the width is also h+4  so the expression will be    h(h-3)(h+4)

8 0
3 years ago
Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did
Talja [164]

\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$450\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &3 \end{cases} \\\\\\ 450=3000\left( \frac{r}{100} \right)(3)\implies 450=\cfrac{3000\cdot 3}{100}r \\\\\\ 450=90r\implies \cfrac{450}{90}=r\implies 5=r\implies \stackrel{\textit{in decimal}}{0.05=r}

4 0
3 years ago
2x - y = 11<br> 6x – 3y = 15 <br> solve for x and y using elimination
Yanka [14]

Answer:

Step-by-step explanation:

Given the simultaneous equation

2x - y = 11. Equation 1

6x – 3y = 15. Equation 2

Using elimination method

Multiply the coefficient of x in equation 1 (which is 2) to equation 2. Also, multiply the coefficient of x in equation 2 (which 6) to equation 1. By doing this we are going to eliminate x

2x - y = 11. × 6 Equation 1

6x – 3y = 15. ×2 Equation 2

12x-6y=66. Equation 3

12x-6y=30. Equation 4

Subtract equation 4 from 3

Then (12x-6y) - (12x-6y) =66 -30

0=36

Which is not possible

Then the system has no solution, it has no solution at all. Because 0 is not equal to 36. If has been 0 equals to 0, then we may many solutions for simultaneous equation.

8 0
3 years ago
Ms. Smith mixes orange juice with seltzer in a ratio of 3:1. If she uses 48 ounces of orange juice, how many ounces of seltzer d
vladimir2022 [97]

Answer:

16 oz

Step-by-step explanation:

the ratio is 3 oz of oj to 1 oz of seltzer.

I pretty much just divided 48 by 3.

I hope this is correct and I hope it helps you!

3 0
3 years ago
A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card,
Tatiana [17]

Answer:

e. R′

Step-by-step explanation:

Let the Sample Space be a universal set consisting of 3 red  and 6 blue cards. Then the event of  of getting 4 blue cards will be given

R complement = R` = Universal Set minus Red cards will give blue cards.

a. R OR O

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b. B AND O

It cannot be this choice as well because 4 is not odd.

c. R OR E

4 is even but we need blue

d. R AND O

Red and odd is again not required

e. R′  = It  will give our required result.

f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.

5 0
4 years ago
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