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vodka [1.7K]
3 years ago
9

Which triangle is congruent to PQR?

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0
DEF is congruent to PQR because they have the same shape and also if you do reflection over x axis it would be DEF
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9. Peter is trying to buy fencing for the perimeter of his garden. His garden is in the shape of a rectangle with a length of 2(
fomenos

Length: 2(x + 6); Width: 3.5x

A rectangle has 4 sides. 2 sides are lengths and 2 sides are widths.

The perimeter is the sum of the measures of all 4 sides.

perimeter = length + length + width + width

perimeter = 2(x + 6) + 2(x + 6) + 3.5x + 3.5x

Use the distributive property on 2(x + 6).

perimeter = 2x + 12 + 2x + 12 + 3.5x + 3.5x

Now let's group all terms with x first, then all the numbers.

perimeter = 2x + 2x + 3.5x + 3.5x + 12 + 12

Now we add like terms. Like terms have exactly the same variables and the same exponents. All terms with x are like terms and can be added together. All terms with no variable are like terms and can be added together.

perimeter = 11x + 24

11x and 24 are not like terms since 11x contains the variable x and 24 has no variable. Since 11x and 24 are not like terms, they cannot be added together. No more simplification can be done, and 11x + 24 is the answer.

Answer: 11x + 24

8 0
3 years ago
Graph a line a slope of 2/5 that contains the point (-2,4).
Katyanochek1 [597]
Go to the point -2, 4 and count up 2 right 5
3 0
3 years ago
When given the information below, can you conclude that Quadrilateral WXYZ is a parallelogram? Why or why not?
Masja [62]

B) No, because opposite sides are not parallel

Step-by-step explanation:

Given this information, assume that quadrilateral WXYZ is a parallelogram then we expect;

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Additionally, we know parallel sides have equal gradient thus;

The slope of side WX= slope of side YZ and the slope of side XY= that of side WZ

However, from the information given, m of WX= 1/3 and that of YZ is -3, thus the two sides are not parallel to each other but perpendicular to each other because the product of their slope equals -1.

Learn More

Properties of a parallelogram :brainly.com/question/14626378#

Keywords : conclude, quadrilateral, parallelogram, slope, sides

#LearnwithBrainly

8 0
3 years ago
Find the number that makes the ratio equivalent to 8:3.<br> :30 <br> pleas just say the number
Blizzard [7]

Answer:

32 : 12 is the second equivalent ratio. = 48 : 18 is the third equivalent ratio. Therefore, the three equivalent ratios of 8 : 3 are 16 : 6, 32 : 12 and 48 : 18

3 0
3 years ago
What is the equation for the line in slope-intercept form ​
Digiron [165]
Y=m x+b
y = y coordinate
m = slope
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3 years ago
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