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Eddi Din [679]
3 years ago
10

and because the ________________________________. Therefore, ABCD is a parallelogram because both pairs of opposite sides are pa

rallel.
Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

The answer is "lengths of opposite sides are equal "

Step-by-step explanation:

The parallelogram is a four-sided one in parallel opposites and therefore opposite angles equal. Each quadrilateral is called a rhombus with equal sides, as well as a parallelogram that also has correct angles is recognized as a rectangle. Its flat form with 4 smooth edges is parallel on the other side, so that when the opposite sides were equal in length. That's why ABCD is also a parallelogram because the two sides are parallel.

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After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease i
Crazy boy [7]

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume (V) is calculated by:

V = \frac{4\pi}{3}\cdot R^{3}

Where R is the radius of the tumor.

The percentage decrease in the volume of the tumor (\%V) is expressed by:

\%V = \frac{\Delta V}{V_{o}} \times 100\,\%

Where:

\Delta V - Absolute decrease in the volume of the tumor.

V_{o} - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

\Delta V = V_{o}-V_{f}

\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})

The percentage decrease is finally simplified:

\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%

Given that R_{o} = R and R_{f} = 0.77\cdot R, the percentage decrease in the volume of tumor is:

\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%

\%V = 54.34\,\%

The volume of the tumor experimented a decrease of 54.34 percent.

5 0
3 years ago
In exercises 1 and 2, Find the value of x.
Kruka [31]

From the given picture, we can see that 2 sides are congruen, then the given triangle is an isosceles triangle. In this triangle the base angles are congruent, so we can draw the following picture:

Now, since interior angles of any triangle add up to 180 degrees, we have

x+\frac{x}{2}+\frac{x}{2}=180

By combining similar terms, we get

\begin{gathered} \frac{4}{2}x=180 \\ 2x=180 \end{gathered}

Then, x is given as

\begin{gathered} x=\frac{180}{2} \\ x=90 \end{gathered}

Therefore, the answer is x=90 degrees

4 0
1 year ago
Can anyone help me with this, I gave a picture so you can figure it out
Ivenika [448]

Answer:

X=2

Step-by-step explanation:

If the smaller triangle's base is 1.5ft and the bigger triangle's base is 6ft then in order to find x you have to find how much bigger the big triangle is compared to the small triangle in order to do that you have to divide 6 by 1.5 (6÷1.5)  which is 4 now you know that the bigger triangle is 4 times as big as the smaller triangle now to find X divide the 8 by 4 (since the 8 is on the same side as the X only the 8 is on the bigger triangle) which is 2

6 0
3 years ago
Fifteen more than half a number is 9.
7nadin3 [17]

Answer:

-12

Step-by-step explanation:

-12/2 = -6

-6+15 = 9

4 0
3 years ago
Read 2 more answers
Long division 8/9 to a decimal
STALIN [3.7K]

Answer:

0.888

Step-by-step explanation:

8 0
3 years ago
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