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2 years ago

For what values of x and y must each figure be a parallelogram?

Mathematics

1 answer:

daser333 [38]2 years ago

5 0

9514 1404 393

Answer:

x = 2

y = 9

Step-by-step explanation:

Opposite sides of a parallelogram are the same length. This relation is used to make equations with the given side lengths.

<u>Top and Bottom</u>

4x +20 = x +26

3x = 6 . . . . . . . . . . . subtract x+20 from both sides

x = 2 . . . . . . . . . divide by 3

<u>Left and Right</u>

7y = 6y + 9

y = 9 . . . . . . . . . subtract 6y from both sides

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What is the area of a garden that measures 4mx4mx6mx4mx10mx8m

topjm [15]

The area of the garden is 120 square metre

<h2>Explanation:</h2>

The picture of the garden is shown below. In this problem, we have:

One square
Two rectangles

Recall that the area of a square is given by:

$A_{s}=L^2 \\ \\ A_{s}:Area \ of \ a \ square \\ L:Side \ of \ the \ square$

On the other hand, the area of a rectangle is given by:

$A_{r}=L_{1}\times L_{2} \\ \\ \\ A_{r}:Area \ of \ a \ rectangle \\ \\ L_{1}:Side \ 1 \ of \ the \ rectangle \\ \\ L_{2}:Side \ 2 \ of \ the \ rectangle$

Therefore:

FOR THE SQUARE:

$L=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{s}=4^2 \\ \\ \boxed{A_{s}=16m^2}$

FOR THE RECTANGLE 1:

$L_{1}=6m \\ L_{2}=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{1}}=6(4) \\ \\ \boxed{A_{r_{1}}=24m^2}$

FOR THE RECTANGLE 2:

$L_{1}=10m \\ L_{2}=8m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{2}}=10(8) \\ \\ \boxed{A_{r_{2}}=80m^2}$

Finally, the area of a garden is the sum of the three areas:

$A_{total}=A_{s}+A_{r_{1}}+A_{r_{2}} \\ \\ A_{total}=16m^2+24m^2+80m^2 \\ \\ A_{total}=16+24+80 \\ \\ \boxed{A_{total}=120m^2}$

<h2>Learn more:</h2>

Area of a pizza: brainly.com/question/12878495

#LearnWithBrainly

4 0

3 years ago

I need help so bad I’m on the test right now I will mark Brainliest

Tatiana [17]

Answer:

there u go

Step-by-step explanation:

Hope It helps u ....

4 0

2 years ago

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Can any one help me 11 points no lnks pls. Just help with any of these

zvonat [6]

Answer:

5. m<1 = 114 degrees

m<2 = 66 degrees

6. 2x + 3x + 4x = 9x = 180, x = 20

7. 3

8. 1/3

<em>Hope that helps!</em>

Step-by-step explanation:

8 0

2 years ago

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Please choose two answer whoever responds first i will mark brainliest

Reika [66]

Answer:

Green and Orange

Step-by-step explanation:

Green has 6 marbles in the bag and has the most marbles pulled (30), so that is one of the answers. Red and orange are tied with 5 marbles in the bag, but red only got pulled 19 times and orange got pulled 25 times. Therefore, your answers are green and orange.

6 0

3 years ago

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Plsss help ASAP!!!!!!

Stells [14]

Answer:

Its either A or D because its reflection so that cancels out B and C

im not sure if this helps u or not but at lest it cancels out 2 of the options

The reflection of a horizontal line has the same result as a rotation of 90 degrees clockwise.

Step-by-step explanation:

When an image is rotated 90 degrees counterclockwise the shape is still congruent but in a different quadrant. The same is true when an image is reflected across a horizontal line.

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2 years ago