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Margarita [4]
3 years ago
5

What is the value of x?

Mathematics
1 answer:
garik1379 [7]3 years ago
3 0

Answer:

x=4

Step-by-step explanation:

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Suppose triangle ABC has vertices at A(1, 0), B(10, 0), and C(2, 6). After a 60° counterclockwise rotation about the origin, ver
Artemon [7]
Check the picture attached.

Let OB be the radius of circle with center O.

Let B' be the image of B after the described rotation

OB and OB' are sides of the equilateral triangle OBB'.

The x coordinate of B' is the midpoint of OB, that is 5.

In the right triangle B', point (5, 0) and B:

Distance point (5, 0) to B is 5
|B'B|=|OB|=10

so by the pythagorean theorem:

a= \sqrt{ 10^{2} - 5^{2} } = \sqrt{ 2^{2} *5^{2} - 5^{2} }= \sqrt{5^{2}(4-1)}=5 \sqrt{3} units



Answer: 5 \sqrt{3}

3 0
3 years ago
Plz, help me with this question?
pentagon [3]

Answer:

4x= 40

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5 0
3 years ago
Read 2 more answers
What is the value of the <br> expression? 1 7/8 - 6/4
nikklg [1K]
The correct answer is 3/8

Rewriting our equation with parts separated
1+7/8−6/4

Solving the fraction parts
7/8 - 6/4?

Find the LCD of 7/8 and 6/4 and rewrite to solve with the equivalent fractions.
LCD = 8
7/8−1 2/8=−58
7
8
−
12
8
=
−
5
8
Combining the whole and fraction parts
1−5/8=3/8
7 0
2 years ago
Which of the following statements is false?
Alina [70]

Answer:

C is false

Step-by-step explanation:

Example 3 is odd but 6 is equal.

3•6 is 18

18 is even

3 0
3 years ago
There are 18 female students and 16 male students in a class. Which of the
dimaraw [331]

The answer is 9 to 8

Hope this helps :)

3 0
3 years ago
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