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3 years ago

ABCD is a parallelogram. Find the measure of ZB.

Mathematics

1 answer:

Korolek [52]3 years ago

6 0

Answer:

121°

Step-by-step explanation:

<B = 9x - 5°

<D = 10x - 19°

<B = <D ( being opposite angles of parallelogram)

9x - 5° = 10x - 19°

10x - 9x = 19° - 5°

x = 14°

Now

<B = 9x - 5°

= 9 * 14° - 5

= 121°

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Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on the right will

marin [14]

Answer:

Bed A --- Third Option

Bed B --- Fifth Option

Step-by-step explanation:

Flower Bed A)

The formula for circumference is:

$C=2\pi r$

The diameter of A is 10 feet. So, its radius is 5 feet.

Substitute 5 for r. So, the circumference of Bed A is:

$C=2\pi (5)=10\pi\text{ feet}$

The formula for the area of a circle is:

$A=\pi r^2$

Substitute 5 for r:

$A=\pi (5)^2$

Square and simplify:

$A=25\pi \text{ square feet}$

So, the circumference of Bed A is 10π feet and its area is 25π square feet.

Therefore, match Bed A to the third option.

Flower Bed B)

The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:

$C=2\pi (6)$

Multiply:

$C=12\pi\text{ feet}$

Substitute 6 for r for the area formula:

$A=\pi(6)^2$

Square and simplify:

$A=36\pi\text{ square feet}$

So, Bed B has a 12π feet circumference and a 36π square feet area.

Therefore, match Bed B to the fifth option.

And we're done!

8 0

3 years ago

if the graph of a quadratic function intersects with the x axis two times, how many solutions are there to the equation when set

konstantin123 [22]

Hello there!

This is a conceptual question about quadratic functions.

Remember that a solution of ANY function is where it intersects the x-axis, so if the quadratic function intersects the x-axis TWO times, this means that there are TWO real solutions.

Here's a list of things to remember that will help you out for quadratic functions...
•if a quadratic function intersects the x-axis twice, it has two real solutions.
•if a quadratic function intersects the x-axis once, it has one real solution and one imaginary solution.
•if a quadratic function intersects the x-axis zero times, it has zero deal solutions and two imaginary solutions.

Please NOTE: If you want to know how many solutions a polynomial function has, look at it's highest exponent. If it is 2, then it has 2 solutions whether they be real or imaginary. If it is 3, then it has 3 solutions.

Also, if one of the factors are the same for a polynomial function, the way it hits the x-axis changes! This is just some extra information to help you in the long run!

I hope this helps!
Best wishes :)

8 0

3 years ago

Gcf of 56f^3 g^2 and 70fg^3

yulyashka [42]

<span>56f^3 g^2 = 7fg^2(8f^2)
and
70fg^3 = 7fg^2(10g)

</span>Gcf of 56f^3 g^2 and 70fg^3 = 7fg^2

7 0

3 years ago

a cylindrical can of juice has a height of 5 inches and a radius of 1.25 inches. Which is closest to the total volume, in cubic

makvit [3.9K]

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\quad 
\begin{cases}
r=radius\\
h=height\\
------\\
r=1.25\\
h=5
\end{cases}\implies V=\pi \cdot 1.25^2\cdot 5$

4 0

3 years ago

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James had lunch at a local diner.He had two burgers and a soda.The soda cost $2.00.Sales tax was added to his meal at a rate of

diamong [38]

2 burgers and a soda the soda cost 2 dollars since sale tax was added to his meal at the rate of 10% so 20 cents added 19.80 minus 2.20 (I cant think cause im being rushed lol) which equals 17.60 divided by 2 8.80 dollars each

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3 years ago