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Natasha2012 [34]
3 years ago
14

Enter the number that belongs in the green box

Mathematics
1 answer:
dalvyx [7]3 years ago
7 0

Answer:

B =107

Step-by-step explanation:

<B = <D

We can find <D from the sum of the angles of a triangle

32+ D +41 = 180

73+ D = 180

D = 180-73

D =107

Therefore B =107

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A triangle has vertices at B(−3, 0), C(2, −1), D(−1, 2). Which series of transformations would produce an image with vertices B″
vichka [17]

We must apply the <em>transformation</em> rules (x, y) → (- x, y) and (x, y) → (x + 1, y + 1) to generate the vertices B''(x, y) = (4, 1), C''(x, y) = (- 1, 0), D''(x, y) = (2, 3). (Right choice: B)

<h3>How to determine the right transformation rules for a set of three points</h3>

In this question we have three points on a <em>Cartesian</em> plane: B(x, y) = (- 3, 0), C(x, y) = (2, - 1), D(x, y) = (- 1, 2). First, we proceed to apply the <em>transformation</em> rule (x, y) → (- x, y):

B'(x, y) = (3, 0), C'(x, y) = (- 2, -1), D'(x, y) = (1, 2)

Then, we use the <em>transformation</em> rule (x, y) → (x + 1, y + 1):

B''(x, y) = (4, 1), C''(x, y) = (- 1, 0), D''(x, y) = (2, 3)

Then, we must apply the <em>transformation</em> rules (x, y) → (- x, y) and (x, y) → (x + 1, y + 1) to generate the vertices B''(x, y) = (4, 1), C''(x, y) = (- 1, 0), D''(x, y) = (2, 3).

To learn more on transformation rules: brainly.com/question/9201867

#SPJ1

7 0
2 years ago
If x + 5y = -11 and 2x − 3y = 17, what is the value of x + y?
aev [14]
X+5y=-11 (1)
2x-3y=17 (2)

2(1)-(2)
2x+10y-2x+3y=-22-17
13y=-39
y=-3

Sub y=-3 in (1)
x+5(-3)=-11
x=4

So x+y= -3+4 =1



6 0
3 years ago
Free pts! What is your favorite food?​
garri49 [273]

My favorite food is Pizza

4 0
3 years ago
An automobile manufacturer wants to assess a new style of visual display to see if it changes the amount of reported eye-strain
finlep [7]

Answer:

Standard error = 0.34

t-statistic = 11.18

Step-by-step explanation:

Given Data:

Mean difference d = 3.8

Standard deviation S.D = 1.36

Number of people = 16

The appropriate test are:

1. Standard error

2. T- statistic

1. Calculating the standard error using the formula;

Standard error = S.D/√n

                         = 1.36/√16

                          = 1.36/4

                           = 0.34

2. Calculating the t-statistic using the formula;

t-statistic = d/(S.D/√n)

              = 3.8/(1.36/√16)

              = 3.8/(1.36/4)

              = 3.8/0.34

               = 11.18

7 0
4 years ago
Katie makes 70% of her shots from the free-throw line. Can you determine how many consecutive free-throws she must make in order
irga5000 [103]
To make 70% she has completed 7 out of 10 shots. for her to get 75% she would need 3 out of 4 each time.
5 0
4 years ago
Read 2 more answers
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