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3 years ago

If ABCD is a square. CD intersects the diagonal at O.if the measure of <DOC =75, then wh

Mathematics

1 answer:

Olin [163]3 years ago

5 0

Answer:

the answer is f

Step-by-step explanation:

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Geometry math question no Guessing and Please show work thank you

ahrayia [7]

To find the angle of vertex E,we need to first find the sum of interior polygons to determine x:
$(number \: of \: sides - 2) \times 180$
In this case,the equation would be:
(7-2)×180°
=5×180°
=900°

We can then find the value of x:
(4)6x+(2)2x+8x=900°
24x+4x+8x=900°
36x=900°
x=25°

The interior angle of vertex E:

6x=6(25)=150°

Therefore,the interior angle of vertex E is 150°.

Hope it helps!

6 0

3 years ago

How many equivalence relations are there on the set 1, 2, 3]?

Alex787 [66]

Answer:

We need to find how many number of equivalence relations are on the set {1,2,3}

A relation is an equivalence relation if it is reflexive, transitive and symmetric.

equivalence relation R on {1,2,3}

1.For reflexive, it must contain (1,1),(2,2),(3,3)

2.For transitive, it must satisfy: if (x,y)∈R then (y,x)∈R

3. For symmetric, it must satisfy: if (x,y)∈R,(y,z)∈R then (x,z)∈R

Since (1,1),(2,2),(3,3) must be there is R, (1,2),(2,1),(2,3),(3,2),(1,3),(3,1). By symmetry,

we just need to count the number of ways in which we can use the pairs (1,2),(2,3),(1,3) to construct equivalence relations.

This is because if (1,2) is in the relation then (2,1) must be there in the relation.

the relation will be an equivalence relation if we use none of these pairs (1,2),(2,3),(1,3) . There is only one such relation: {(1,1),(2,2),(3,3)}

we can have three possible equivalence relations:

{(1,1),(2,2),(3,3),(1,2),(2,1)}

{(1,1),(2,2),(3,3),(1,3),(3,1)}

{(1,1),(2,2),(3,3),(2,3),(3,2)}

6 0

4 years ago

Why are bars of the histogram all the same width?

Aleksandr-060686 [28]

The widths of the bars are equal to ensure that numbers aren't represented improperly. If a bar was wider than another that was the same height, it could be misinterpreted as being larger.

3 0

4 years ago

What is the value of the geometric sequence for which a1=10 and r=0.5?

tiny-mole [99]

The formula for an infinite geometric sequence is the following:

$S_{∞}= \frac{a_{1}}{1-r}$

Just substitute the values of $a_{1}$ and r into the formula.

$S_{∞}=\frac{10}{1-0.5}$
$S_{∞}=\frac{10}{0.5}$
$S_{∞}= 20$

Therefore, the answer is 20.

3 0

3 years ago

7-9: Practice Buddy: Independent Practice; Problem Solving please help!

strojnjashka [21]

Answer:

4/3/8

Step-by-step explanation:

12/1/2-8/8/1

=25/2-65/8

=100-65/8

=35/8

=4/3/8

3 0

3 years ago

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