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Anna [14]
3 years ago
11

Select the correct answer. Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using

this condition? A. 0 B. 1 C. 2 D. 4 E. infinitely many
Mathematics
2 answers:
Vladimir [108]3 years ago
7 0

Answer:

your answer is 3. you can only have 3 shapes with four right angles. those shapes are, square, rectangle, and the rhombus. I hope this helps and have a nice day!

Step-by-step explanation:

Afina-wow [57]3 years ago
5 0

Answer:

2

Step-by-step explanation:

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3 years ago
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Dose the perimeter of a square vary directly with the side length?
tankabanditka [31]

Yes, it does.

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3 years ago
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Show Work Please Thank You
Misha Larkins [42]

Answer:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

Step-by-step explanation:

We are given the trigonometric equation of:

\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}

Let u = 4x then:

\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Convert u-term back to 4x:

\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Divide both sides by 4:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

8 0
1 year ago
In the equation, which is true about the value of x? 4(2x + 3) = x(3 + 5) + 12
Dmitrij [34]

The statement is true. X= all real numbers

6 0
3 years ago
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What is the value of x?<br><br><br> 68<br><br> 32<br><br> 54<br><br> 36
Dovator [93]

Answer:

A) 68

Step-by-step explanation:

Use the <em>Exterior Angle Theorem</em>.

The Exterior Angle theorem states that the exterior angle's measurement will be equal that of the two opposite interior angles.

Set the equation. Note that you are given the exterior angle and one interior angle:

58 + x = 126

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 58 from both sides of the equation:

x + 58 (-58) = 126 (-58)

x = 126 - 58

x = 68

A) 68 is your answer.

~

4 0
2 years ago
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