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2 years ago

If ABCD is a parallelogram, which of the following statements must be true?

Mathematics

2 answers:

hoa [83]2 years ago

8 0

Answer: d. AB = CD and BC = AD

Step-by-step explanation:

We know that parallelogram is a quadrilateral with properties listed below:-

The opposite sides are congruent ( AB = CD and BC = AD ).
The opposite angels are congruent (∠A=∠C and ∠D=∠B).
The consecutive angles are supplementary (∠A + ∠D = 180°).
The diagonals of a parallelogram bisect each other.
If one angle is right, then all angles are right.

7nadin3 [17]2 years ago

3 0

D the opposing sides are equal but parallel

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Find the inverse of the function. y = 2x2 –4

Alex73 [517]

Answer:

The inverse function is $y=\sqrt{\frac{x+4}{2}}$

Step-by-step explanation:

The given function is $y=2x^2-4$ .

This function is only invertible on the interval, $x\ge 0$ .

To find the inverse on this interval, we interchange $x$ and $y$ .

$x=2y^2-4$

We now make $y$ the subject to get,

$x+4=2y^2$

$\Rightarrow \frac{x+4}{2}=y^2$

$\Rightarrow \pm \sqrt{\frac{x+4}{2}}=y$

But the given interval is $x\geq 0$ , This implies that, $y\geq 0$ .

$y=\sqrt{\frac{x+4}{2}}$

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2 years ago

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a coin must have diameter of 27.13 millimeters.To the nearest hundredth, what is the circumference of this coin millimeters

Bas_tet [7]

To find the circumference, you will use the formula for finding circumference of a circle.

I used the true value of pi for the calculations.

C = pi x d
pi x 27.13
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A ramp leading into a building makes a 15o angle with the ground. the end of the ramp is 10 feet from the base of the building.

Oksanka [162]

We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
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