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Setler79 [48]
3 years ago
11

The two figures are similar. Write the similarity statement. Justify your answer,​

Mathematics
1 answer:
Pavel [41]3 years ago
7 0

Answer:

Triangle RTS is similar to JLK

Step-by-step explanation:

Scale factor is 1.5

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a carton of orange juice contains 540ml a special offer carton contains an extra 35% how many millilitres are in the special off
Dafna1 [17]
540mL x .35 = 189 mL
189 mL + 540 mL = 729 mL
6 0
3 years ago
2. Solve the quadratic equation by completing the square.
Paraphin [41]

The roots of the quadratic equation are:

x = 0.74 - 0.6614i

x = 0.74 + 0.6614i

The given equation is:

2x² + 2 = 3x

Rearrange the equation

2x² -3x = -2

Divide through by 2

x² - (3/2)x = -1

x² - (3/2)x + (3/4)² = -1 + (3/4)²

(x - 3/4)² = -7/16

Square root both sides

x - 3/4 = √(-7/16)

x = 3/4 ± √(-7) / 4

x = 0.75 ± i√(7) / 4

x = 0.74 ± 0.6614i

Therefore, the roots of the quadratic equation are:

x = 0.74 - 0.6614i

x = 0.74 + 0.6614i

Learn more here: brainly.com/question/13981588

8 0
3 years ago
What's the area of this rectangle?
Bess [88]

well, the assumption is that is a rectangle, namely it has two equal pairs, so we can just find the length of one of the pairs to get the dimensions.

hmmmm let's say let's get the length of the segment at (-1,-3), (1,3) for its length

and

the length of the segment at (-1, -3), (-4, -2) for its width

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{length}{L}=\sqrt{[1-(-1)]^2+[3-(-3)]^2}\implies L=\sqrt{(1+1)^2+(3+3)^2} \\\\\\ L=\sqrt{4+36}\implies L=\sqrt{40} \\\\[-0.35em] ~\dotfill

\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{width}{w}=\sqrt{[-4-(-1)]^2+[-2-(-3)]^2}\implies w=\sqrt{(-4+1)^2+(-2+3)^2} \\\\\\ w=\sqrt{9+1}\implies w=\sqrt{10} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{A=Lw}\implies \sqrt{40}\cdot \sqrt{10}\implies \sqrt{400}\implies \boxed{20}

7 0
3 years ago
What is a rational number between -1 over 6 and -2 over 6?
belka [17]
A rational number for that question could be 5
7 0
3 years ago
How to Increase 8 by 9.4%
Fed [463]

Answer:

75.2

Step-by-step explanation:

multiple 8 by 9.4

4 0
3 years ago
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