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kobusy [5.1K]
3 years ago
10

Frances drew ABC and DEF so that A D, AB = 4, DE = 8, AC = 6, and DF = 12. Are ABC and DEF similar? If so, identify the similari

ty postulate or theorem that applies. A)similar SSS B) similar SAS C) similar AA D) cannot be determined??
Mathematics
2 answers:
Novay_Z [31]3 years ago
9 0

the answer is B. SAS



QB19
3 years ago
YES
lozanna [386]3 years ago
4 0
B) similar SAS because u have a given angle and two sides of the angle that are proportional
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A community is planning to build a rectangular garden.the width of the garden is 27/4 feet and the perimeter of the garden is 37
Crank

We know that the width of the garden is = \frac{27}{4} feet = 6.75 feet

and Perimeter of the garden is = 37.5 feet

Also, we know that for a rectangular space perimeter = 2 * (l + w)

⇒ 37.5 = 2 * (l + 6.75)

⇒ 37.5 = 13.5 + 2*l

⇒ 24 = 2*l

⇒ l = 12 feet

Now, we need to determine how much square feet of mulch is required, hence we need to calculate the area of the garden

Area = l * w

⇒ Area = 12 * 6.75

⇒ Area = 81 square feet

Hence, they require 81 square feet of mulch

7 0
4 years ago
6{−4[−5+7−(1+9)]+7}−9
Zinaida [17]

Answer: 57

Step-by-step explanation:

6{-4[-5+7-(10)]+7}-9

6{-4[-1]+7}-9

6{11}-9

66-9=57

8 0
4 years ago
What is the equation of the line that passes through the point (3, -6) and has a slope of o?
Allushta [10]

Answer:

  y = -6

Step-by-step explanation:

A line with a slope of 0 is a horizontal line. Its equation is of the form ...

  y = constant

Here, that constant must be -6 in order for the line to go through a point with y-coordinate -6:

  y = -6

5 0
3 years ago
What is 73,569 rounded to the nearest ten thousand
Inga [223]

What is 73,569 rounded to the nearest ten thousand

70,000

6 0
3 years ago
Read 2 more answers
Write the equation of the line in the form Y = MX where M is the slope.
Ainat [17]

Answer:

We conclude that the equation of the line in the form y = mx + b will be:  y=\frac{1}{2}x

Step-by-step explanation:

From the given graph, taking two points

  • (0, 0)
  • (10, 5)

Important Tip:

The slope-intercept form of the line equation

y = mx+b

where

  • m represents the slope
  • b represents the y-intercept

1 of 3 steps:

Determine the slope

We need to find the slope of the line containing the points (0, 0) and (10, 5)

m=\frac{y_2-y_1}{x_2-x_1}

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

  • (x₁, y₁) = (0, 0)  
  • (x₂, y₂) = (10, 5)

substituting (x₁, y₁) = (0, 0) and (x₂, y₂) = (10, 5) in the slope formula

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{5-0}{10-0}

Refine

m=\frac{1}{2}

Thus, the slope of the line containing the points (0, 0) and (10, 5) is: m=\frac{1}{2}

2 of 3 steps:

Determine the y-intercept

We can determine the y-intercept by determining the value of y at x = 0.

From the graph, it is clear that at x = 0 the value of y = 0.

Thus, the y-intercept of the line is: b = 0

3 of 3 steps:

Substitute the values in the slope-intercept form

Substitute the values m=\frac{1}{2} and b = 0 in the slope-intercept form

y = mx+b

y\:=\:\frac{1}{2}x+0

y=\frac{1}{2}x

Conclusion:

Therefore, we conclude that the equation of the line in the form y = mx + b will be:  y=\frac{1}{2}x

4 0
3 years ago
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