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Lana71 [14]
3 years ago
8

What is the perimeter of triangle DEF?

Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Given:

Triangle DEF

To find:

The perimeter of triangle DEF.

Solution:

Coordinate of D = (-1, 1)

Coordinate of E = (2, 1)

Coordinate of F = (-1, 4)

Distance formula:

d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

<u>Distance of DE:</u>

Here, x_1=-1, y_1=1, x_2=2, y_2=1

d=\sqrt{(1-1)^2+(2-(-1))^2}

d=\sqrt{0+9}

d = 3 units

<u>Distance of EF:</u>

Here, x_1=2, y_1=1, x_2=-1, y_2=4

d=\sqrt{(4-1)^2+(-1-2)^2}

d=\sqrt{9+9}

d=\sqrt{18}

d = 4.2 units

<u>Distance of FD:</u>

Here, x_1=-1, y_1=4, x_2=-1, y_2=1

d=\sqrt{(1-4)^2+(-1-(-1))^2}

d=\sqrt{9+0}

d = 3 units

Perimeter of ΔDEF = DE + FE + FD

                                = 3 + 4.2 + 3

                                = 10.2 units

The perimeter of triangle DEF is 10.2 units.

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Answer:

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Reverse addition and subtraction (by subtracting and adding) outside parentheses. Reverse multiplication and division (by dividing and multiplying) outside parentheses. When multiplying or dividing by a negative number, flip the inequality sign. It does not matter if the number being divided is positive or negative

It's necessary to apply inverse operations on both sides of the equals signs so that you can solve for the variable and balance the equation.

Multi-step inequalities are solved using the same processes that work for solving equations with one exception. When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol. (Much like when you divide by a negative number, the sign of the inequality must flip! Here's why: When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!)

4 0
3 years ago
Can 7/9 and 42/54 form a proportion
SOVA2 [1]

Answer:

yes

Step-by-step explanation:

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7/9 = 42/54

8 0
3 years ago
Read 2 more answers
A random sample of 25 statistics examinations was selected. The average score in the sample was 76 with a variance of 144. Assum
Mazyrski [523]

Answer:

99% confidence interval for the population average examination score is between a lower limit of 69.2872 and an upper limit of 82.7128.

Step-by-step explanation:

Confidence interval = mean +/- margin of error (E)

mean = 76

variance = 144

sd = sqrt(variance) = sqrt(144) = 12

n = 25

degree of freedom (df) = n - 1 = 25 - 1 = 24

confidence level (C) = 99% = 0.99

significance level = 1 - C = 1 - 0.99 = 0.01 = 1%

t-value corresponding to 24 df and 1% significance level is 2.797

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Upper limit = mean + E = 76 + 6.7128 = 82.7128

99% confidence interval is (69.2872, 82.7128)

6 0
3 years ago
The point (6, 7) is reflected across the y axis. what are the coordinates of the reflection
aev [14]

Answer:

Hello!!

the point (6, 7) is reflected across the y axis. what are the coordinates of the reflection?

(-6, 7)

Step by Step Explanation:

When reflecting (x, y) over the x axis is (x, -y)

When reflecting (x, y) over the y axis is (-x, y)

Hope this helps!

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3 years ago
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