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Inessa [10]
3 years ago
7

Given:

Mathematics
1 answer:
stira [4]3 years ago
5 0
Angle CFE is an alternate interior angle with angle FCD
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Simplify (1-√3)(⅓+√3) leaving your answer in the form p+q√3​
Mars2501 [29]

Answer:

\frac{-8 +2\sqrt{3} }{3}

Step-by-step explanation:

When working with surds we need to take note of the roots present there.

To expand this equation we can do it the following way noting that √3 X √3 = 3

<em></em>

<em>Expanding (1-√3)(⅓+√3)</em>

1 X 1/3 = 1/3

1 X √3 = √3

-√3 X 1/3 =-√3/3

√3 X √3 = 3

hence, expanding the equation, we have

1/3 + √3 -√3/3 + 3

We can simply group the like terms and add them up.

[1/3 +3] +[√3-√3/3]

10/3 + \frac{2\sqrt{3} }{3}

= \frac{-8 +2\sqrt{3} }{3}

8 0
3 years ago
TriangleA′B′C′ is the image of triangleABC after a dilation.
hammer [34]

Answer:

Step-by-step explanation:

The image A’B’C’ is scaled down by a factor of 1/3

7 0
3 years ago
Read 2 more answers
A bouquet had 10 flowers and sold for $70. which is a rate of $_per flower
Advocard [28]
ANSWER: $7 per flower
4 0
3 years ago
Read 2 more answers
The tubs are similar in shape.
faltersainse [42]

Answer:

The tube are similar in shape.

The height of the small tub is 5  cm.

The volume of the small tube is 150  cm3.

The volume of the large tub is 500  cm3.

Work out the height of the large tub.

Give your answer correct to 3  significant figures.

Step-by-step explanation: Hope this help(:

3 0
1 year ago
Read 2 more answers
PLEASE HELP!! WILL GIVE BRAINLIEST!!
Anestetic [448]
Area of part 1:A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2Area of part 2:A2=length*width=(8+2)*1=10 ft2Area of part 3:A3=length*width=8*2=16 ft2
Total shaded area : A1+A2+A3=41 ft2Total area of the reactangle : A=16*8=128 ft2Total area of the nonshaded region : 128-41=87 ft2

8 0
3 years ago
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