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ankoles [38]
3 years ago
11

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have l

engths (5n − 6) cm and (3n − 2) cm. A third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram?
Mathematics
2 answers:
Eddi Din [679]3 years ago
7 0

Answer:

b

Step-by-step explanation:

Tema [17]3 years ago
3 0

Answer:

4 cm and 7 cm

Step-by-step explanation:

Given that Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm.

We know that opposite sides are equal in a parallelogram.

Hence we have

5n-6 = 3n-2\\2n =4\\n=2

Hence the side length = 5(2)-6 =4 cm

The adjacent side = 2n+3\\=2(2)+3\\=7cm

Thus answer is 4 cm and 7 cm

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Wendy borrowed a 370-page book from the library. She has already read 20 pages. The book is due back to the library in 7 days. W
Leviafan [203]

Answer:

n ≥ 50

Step-by-step explanation:

Total pages = 370

Read pages = 20

Number of days remaining = 7

Reading rate per day = n

7n + 20 ≥ 370

7n ≥ 370 - 20

7n ≥ 350

n ≥ 350/7

n ≥ 50 pages per day for the remaining 7 days

5 0
3 years ago
The vertices of triangle JKL, shown below, are J(2, 1), K(4, 4), and L(6, 2). If triangle JKL is translated 2 units to the left
julia-pushkina [17]

Answer:

L=(4,-2)

Step-by-step explanation:Left = -2 units and down = -4 units, left is x direction and down is y direction. (x,y).

8 0
3 years ago
Please help me. I really appreciate it if you answered. Thank you! <3
exis [7]

Answer:

$3100 is invested at 9%

$4900 is invested at 11%

Step-by-step explanation:

Let's take "x" be the amount invested at 9%.

(x + 1800) is invested in another account at 11%.

The interest amount earned by the two accounts is $818.

Here we can use the simple interest formula and find the amount invested in each account.

Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.

Simple interest =

0.09x + 0.11(x+1800) = 818

Now we have to simplify and find the value of x .

Use the distributive property and simplify the second term.

0.09x + 0.11x + 198 = 818

0.2x + 198 = 818  

0.2x =818 - 198

0.2x = 620

x = 620/0.2

x = 3100.

So $3100 is invested at 9%

x + 1800 = 3100 + 1800

= $4900

$4900 is invested at 11%

Hope this helped.

6 0
3 years ago
What are the solutions of the quadratic equation (x + 3)(x +3) = 49? Ax = -2 and x = -16 Bx = 2 and x = -10 Cx = 4 and x = -10 D
Ivahew [28]

Answer:

4 and -10

Step-by-step explanation:

\displaystyle (x + 3)(x +3) = 49 \\ x^2+3x+3x+9=49 \\ x^2 +6x+9=49 \\ x^2 + 6x + 9 - 49 = 0 \\x^2+6x-40=0 \\\\ \Delta=b^2-4ac \\ \Delta=6^2-4 \cdot 1 \cdot (-40) \\ \Delta=36+160 \\ \Delta=196 \\ \\ X_{1,2}=\frac{-b \pm \sqrt{\Delta} }{2a}  \\ \\ X_1=\frac{-b+\sqrt{\Delta} }{2a} = \frac{-6+14}{2} = \frac{8}{2}=4 \\ \\ X_2=\frac{-b-\sqrt{\Delta} }{2a}  = \frac{-6-14}{2}=\frac{-20}{2} = -10

4 0
3 years ago
Please answer these two questions precisely :)
GuDViN [60]
1. A)
7x= 3(35)
7x= 105
105/7= 15
Therefore x=15

2. C)

4 0
3 years ago
Read 2 more answers
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