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r-ruslan [8.4K]
3 years ago
12

What shape has 5 vertices and 3 sides

Mathematics
1 answer:
lana66690 [7]3 years ago
6 0

Answer:

a polygon

Step-by-step explanation:

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ABCD is a rectangle. The measure of angle BCE is 4x-23 and the angle measure of angle DCE is 5+5x. Find the measure of angle BEC
Temka [501]
<h2>Explanation:</h2><h2></h2>

The diagram for this problem is shown below. Point E is the intersection of the two diagonals and we know that:

\angle BCE=\beta \\ \\ \angle DCE=\theta

Every internal angle of any rectangle measures 90 degrees, so:

\beta +\alpha=90 \\ \\ (4x-23)+(5+5x)=90 \\ \\ \\ Isolating \ x: \\ \\ (4x+5x)+(5-23)=90 \\ \\ 9x-18=90 \\ \\ 9x=108 \\ \\ x=\frac{108}{9}=12

So:

\beta=4x-23=4(12)-23=25^{\circ}

So the measure of angle BEC can be found as follows:

We know that triangle ΔCEB is an isosceles triangle because the diagonals of any rectangle measure the same. So

\angle EBC=\beta

The sum of internal angles of any triangle add up to 180 degrees, so:

\beta + \beta+\angle BEC=180^{\circ} \\ \\ 2\beta+\angle BEC=180^{\circ} \\ \\ \angle BEC=180^{\circ}-2\beta \\ \\ \angle BEC=180^{\circ}-2(25^{\circ}) \\ \\ \angle BEC=180^{\circ}-50^{\circ} \\ \\ \boxed{\angle BEC=130^{\circ}}}

7 0
4 years ago
The roller on a computer printer makes 2200 revolutions per minute. what is its angular velocity?
-Dominant- [34]
(2200 rev/min) x (360 deg/rev) x ( min/60 sec) = 13,200 degrees per second

(2200 rev/min) x (2 pi radians/rev) x (min / 60 sec) = <u>73 and 1/3 pi</u> radians/sec
8 0
4 years ago
Elijah’s puppy weighed 19 ounces at the last visit to the veterinarian’s office, what is the percent increase in the puppy’s wei
nalin [4]

Answer:

1.188

Step-by-step explanation:

19 ounces = 1.875

1.875 rounded is 1.88

answer = 1.88

couldn't help as much due to the fact you didn't add how much the dog gains

8 0
4 years ago
Find the first four terms of the sequence an = 4n-6
natulia [17]

Answer:

The first four terms of the sequence are-6, -2, 2 and 6

Step-by-step explanation:

The given sequence is a_n=4n-6

In order to find the first four term of the sequence we put n =0, 1, 2 and 3.

For n =0

a_0=4(0)-6=-6

For n =1

a_1=4(1)-6=-2

For n =2

a_2=4(2)-6=2

For n =3

a_3=4(3)-6=6

Therefore, the first four terms of the sequence are

-6, -2, 2 and 6

5 0
4 years ago
Help, please! If possible explain it like your talking to a little kid :) Thank you♡
monitta

Answer:

GCF: y³z³

Step-by-step explanation:

The greatest common factor is the a term that you can take out of all the terms given to you. This term, when multiplied to each of the individual numbers in the set, will return you to the original amount.

In this case, note that they all share the variables y and z, and that each of them have <em>at least</em> 3 y's and 3 z's. For you to factor, you will divide these from all the terms.

\frac{x^{3}y^{5}z^{5} , y^{3}z^{5} , xy^{3}z^{3} }{y^{3}z^{3}} = x^{3}y^{2}z^{2} , z^{2} , x

y³z³(x³y²z² , z² , x)

~

7 0
3 years ago
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