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4 years ago

In the diagram, △ABC ≅ △WRS. What is the perimeter of △WRS?

Mathematics

2 answers:

r-ruslan [8.4K]4 years ago

6 0

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

△ABC ≅ △WRS

So, Perimeter of △ABC is given by

AB+BC+CA

here, AB = 3 units

BC = 4 units

AC = x

By pythagorus theorem, we get that

$AC^2=AB^2+BC^2\\\\x^2=3^2+4^2\\\\x^2=9+16\\\\x^2=25\\\\x=\sqrt{25}\\\\x=5\ units$

So, perimeter of △ABC is

3+4+5=12 units

So, the perimeter of △WRS is also 12 units as they are similar triangles .

Hence, Third option is correct.

ad-work [718]4 years ago

3 0

Answer:

The Answer Is 12

Step-by-step explanation:

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Please help me with this on the picture.

dimaraw [331]

Answer:

year 7 mean: ≈7.714

year 8 mean: 14

Step-by-step explanation:

mean = sum / number of observations

number of observations = 5, as there are 5 bars for each year

year 7 is the bar on the left for each day

observations for year 7:

5, 8, 9, 13, 19 (left to right)

sum = 5 + 8 + 9 + 13 + 19 = 54 for year 7

mean for year 7 = 54 / 7 ≈ 7.714

observations for year 8 (left to right):

10, 11, 18, 12, 19

sum = 10 + 11 + 18 + 12 + 19 = 70

mean = 70 / 5 = 14

7 0

2 years ago

Find an equation of the line parallel to 8x − 3y = 1 and containing the point (−2, 0)

Anna007 [38]

The equation of the line parallel to 8x − 3y = 1 and containing the point (−2, 0) is 8x -3y = -16

<h3>Equation of a straight line</h3>

From the question, we are to determine the equation of the line parallel to the given equation and that passes through the given point

Lines that are parallel to each other will have the same slope.

First, we will determine the slope of the line in the given equation.

The given equation of the line is

8x − 3y = 1

Express the equation in the slope-intercept form of a line, y = mx + b

Where m is the slope and

b is the y-intercept

That is,

8x − 3y = 1

8x -1 = 3y

3y = 8x - 1

y = 8/3(x) - 1/3

By comparing,

∴ The slope of the line is 8/3

Since we are to find the equation of a line parallel to this, the slope of the line will also be 8/3

Now, find the equation of a line containing the point (-2, 0) and that has a slope of 8/3

Using the point-slope form of a line

y - y₁ = m(x - x₁)

x₁ = -2

and y₁ = 0

∴ y - 0 = 8/3(x - -2)

y = 8/3(x +2)

3y = 8(x +2)

3y = 8x + 16

8x -3y = -16

Hence, the equation of the line parallel to 8x − 3y = 1 and containing the point (−2, 0) is 8x -3y = -16

Learn more on Equation of a line here: brainly.com/question/13763238

#SPJ1

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2 years ago

The table shows the height increases in inches, of some of the girls in Gina’s class from last month to this month. What girl ha

shusha [124]

The correct answer is Maxine

Explanation:

One of the easiest ways for knowing if a fraction is greater than another is by converting fractions to decimal numbers. This implies dividing the numerator (top number) by the denominator (bottom number). In the case of fraction, $\frac{1}{2}$ the decimal number is 0.5 considering 1 divided into 2 is equal to 0.5. Now to know if other fractions are greater or smaller, this process needs to be repeated.

Gina: $\frac{3}{8} = 0.375$

Maxine: $\frac{2}{3} = 0.666$

Shari: $\frac{2}{4} = 0.5$

Vanessa: $\frac{3}{12} = 0.25$

According to this, the girl with a heigh increased greater than 1/2 inch is Maxine because 0.666 (Maxine heigh increase) is greater than 0.5 (1/2 inch).

7 0

4 years ago

Question below.<br><br> Please help!

xz_007 [3.2K]

Answer:

V^-3

Step-by-step explanation:

The answer is in the pic above

4 0

3 years ago

Read 2 more answers

Give triangle abc is congruent to triangle def find x

Karolina [17]

Answer:

x=9

Step-by-step explanation:

FE is 3x-7

since ΔABC≅ΔDEF the equivalent of FE is CB, or BC...which is 20

3x-7=20

3x=27

x=9

6 0

3 years ago