Is quadrilateral DEFG a parallelogram? Why or why not?
Question 2 options:

A)

Yes, because adjacent angles aren't supplementary.

B)

No, because adjacent angles aren't congruent.

C)

There isn't enough information.

D)

Yes, because opposite angles are congruent.

Answer:

-1/4

Step-by-step explanation:

-0.25

Answer:

Step-by-step explanation:

43 + 39 + <1 = 180                    Three angles make up a triangle of 180 degrees.

82 + <1 = 180                            Subtract 82 from both sides

<1 = 98

<2 = <1                                      They are vertically opposite

<2 = 98

A set S has four members if there are six subsets of it, each with two members.

The combination formula, which is given by: can be used to determine the total amount of subsets with two members each.

[tex]^nC_k= \dfrac{n!}{(k!(n-k)!)}[/tex]

There are 6 subsets in this situation, each with 2 members.

So, [tex]^nC_2[/tex] = 6

Simplifying the equation:

n! / (2!(n-2)!) = 6

n(n-1) / (2 x 1) = 6

n(n-1) / 2 = 6

n(n-1) = 12

Expanding the equation:

[tex]n^2 - n = 12[/tex]

[tex]n^2 - n - 12 = 0[/tex]

Factoring the quadratic equation:

(n - 4)(n + 3) = 0

When all factors are set to zero and n is calculated:

n - 4 = 0    or    n + 3 = 0

n = 4        or    n = -3

Since n must be a positive integer.

So, n = 4 is the valid solution.

Thus, set S consists of 4 members.

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#SPJ12

Answer:

a

Step-by-step explanation:

plz gimme brainliest

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Answer:

(2x+5)(x+4)

Step-by-step explanation:

9514 1404 393

Answer:

  (x +4)(2x +5)

Step-by-step explanation:

To factor this, you look for factors of 2·20 = 40 that have a sum of 13.

The factor pairs of 40 are ...

  40 = 1·40 = 2·20 = 4·10 = 5·8

The sums of these factor pairs are 41, 22, 14, 13. The last one is the one we want.

There are several ways to use this factor pair. One of the more straightforward methods is to rewrite the middle term as a sum using these numbers:

  2x² +5x +8x +20

  = x(2x +5) +4(2x +5) . . . . . factor pairs of terms

  = (x +4)(2x +5) . . . . . . . . . factor out the common factor

Answer:

yes!

Step-by-step explanation:

"i am not happy when hungry" is the inverse of "i am not hungry, i am happy."

Answer:

No

Step-by-step explanation:

[tex]\\ \rm\longmapsto 115.90+115.90+345.85[/tex]

[tex]\\ \rm\longmapsto 231.80+345.85[/tex]

[tex]\\ \rm\longmapsto 577.65[/tex]

[tex]\\ \rm\longmapsto 25.85+2.00[/tex]

[tex]\\ \rm\longmapsto 27.85[/tex]

[tex]\\ \rm\longmapsto 19.45+21.02+95.98[/tex]

[tex]\\ \rm\longmapsto 117+19.45[/tex]

[tex]\\ \rm\longmapsto 136.45[/tex]

[tex]\\ \rm\longmapsto 577.65-(27.85+136.45)[/tex]

[tex]\\ \rm\longmapsto 577.65-191.3[/tex]

[tex]\\ \rm\longmapsto 386.35[/tex]

Now

[tex]\\ \rm\longmapsto 386.35+271.31[/tex]

[tex]\\ \rm\longmapsto\$ 657.66[/tex]

Answer:

To prove that it is a trapezoid, remember that the definition of a trapezoid is a quadrilateral with exactly one pair of parallel sides. Therefore, to prove it is a trapezoid you must verify that one pair of sides is parallel. From algebra, remember that two lines are parallel if they have the same slope.

52

if im wrong, sorry

if im right, yay

Answer:

$2.20

Explanation:

For every mile $0.20 is charged

The base fee is $2.00

If you travel 1 mile, you get charged $0.20 along with the base fee of $2.00

2.00 + 0.20 = 2.20

Answer:

400÷10=0.4

stay safe and healthy

Answer:-1,4

Step-by-step explanation:

9514 1404 393

Answer:

  (b) The function is negative for all real values of x where x < -3 and where x > 1

Step-by-step explanation:

It is pretty easy to tell from the graph that the function is negative for x < -3 and for x > 1.

Answer:

The answer is 6

Step-by-step explanation:

9×4/6

=36/6

=6.

Answer:

C

Step-by-step explanation:

Answer:

(-6,6)

Step-by-step explanation:

Answer:

[tex] \frac{ - 1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{2×2}{3×3} - \frac{5}{6} = \frac{4 - 5}{6} [/tex]

[tex] = \frac{ - 1}{6} [/tex] ✅

Answer: c. y= 2x -3

Step-by-step explanation:

Slope Intercept Form: y= mx +b

m=slope

b= y intercept

the slope is 2 because the line "rises" 2 times and "runs" 1 time

rise/run

2/1

m=2

the y intercept is where the line crosses the (vertical) y-axis

on this graph the line crosses at (0,-3), therefore

b= -3

plug into Slope Intercept Form:

y= mx +b

y= 2x-3

The test of validity is used to determine whether a claim is true or not, based on certain condition(s).

The validity of the given statement is true.

From the question, the given condition is:

Whenever he participates in a race, he is the winner

This can be interpreted as follows:

So, if he is sick; it means that he does not participate in the race and as such he is not the winner.

Hence, the validity of the following statement is true

"Either he participates in the race or he is sick he is not the winner, therefore he is sick​."

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First find the area of the triangle using the formula 1/2 x base x height:

1/2 x 22 x 13 = 143 square cm

Now for volume multiply the area by the depth of the figure:

143 x 30 = 4,290 cubic cm

Answer:

780

Step-by-step explanation:

First use pythagorean theorem to find the triangle, then multiply by 30

Answer:

C

Step-by-step explanation:

z=x as they are alternate angles and x=o as they are alternate exterior angles

According to the the video, the Golden Ratio is a figure in mathematics theorized by mathematicians as a value that indicates natures beauty symmetry

[tex]\mathbf{The \ value\ of \ the \ Golden \ ratio \ is \ \phi} = \mathbf{\dfrac{1 + \sqrt{5} }{2} }[/tex]

Good examples of the Golden Ratio in art and architecture is the Great Pyramid of Giza, constructed in 2570 B.C. and the temple of Parthenon for which construction began in 447 BC and the decoration completed in 432 BC

The reason the temple of Parthenon is so interesting is that the temple just like the pyramid were meant to last indefinitely, such that they can only be made to last so long by the deities, as such by building using the Golden Ratio found in nature including the spiral galaxies, is in recognition of nature's beauty which is aesthetically pleasing to the eyes, harmonious, and maybe preservative

2. The common presence of the Golden Ratio in the universe can be seen as both a grand design and a coincidence, however, due to the higher prevalence than random occurrence, it can be taken as a design that can be observed in nature

3. The topic helps reinforce the belief in the application of math to daily life, because it is a good portrayal of how math can contribute to all aspect of human life

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Answer:

Step-by-step explanation:

for additional examples of the Golden Ratio. Select your favorite example from the video (or your own research) and explain

why this specific example is so interesting to you. (Possible keywords: the golden ratio + in nature, + in art, + in the human body, + in geometry).

Answer:

Step-by-step explanation:

Diameter = 6 units

Radius = Diameter/2 = 6/2 = 3 units

Taking π=3.14

Circumference = 2(π)(r) = 2(3.14)(3) = 6(3.14) = 18.84 = c

c = 18.84

Area = π(r)^2 = π(3)^2 = 9π =9(3.14) = 28.26 = b

b = 28.26

So,

b + c = 28.26 + 18.84 = 47.1

Answer:

b=6π the unit(cm)

c=18.84 the unit(cm)

b+c=

9+18.84=27.84

Step-by-step explanation:

circumference=c

diameter=d

radius=r

area=b

d=2r

6=2r

6=r

2

r=3

b=πr^2

b=3×3π

=9π

c=2πr

=2(3.14)3

= 3.14×6

=18.84

Step-by-step explanation:

cost of 1 table=2400/6=rs.400

or ,cost of 1 chair=2400/8=rs.300

now,

cost of 24 tables=24×400=9600

or,cost of 12 chairs=12×300=3600

or,

may be the question is,

6tables + 8 chairs= 2400

24 tables + 12 chairs=?

solution,

cost of 1 tables=rs.200

cost of 1 chair=rs.150

now,

cost of 24 tables=200×24=4800

cost of 12 chairs=150×12=1800

so, ans= 4800+1800=6600

Answer:

Rs.13200

Step-by-step explanation:

cost of 6 tables=Rs.2400

or,

cost of 8 chair=Rs.2400

cost of 1 table=2400/6

                      =Rs.400

cost of 1 chair=2400/8

                      =Rs.300

cost of 24 tables=24*400

                            =Rs.9600

cost of 12 chairs=12*300

                         =Rs.3600

total cost of 24 tables and 12 chairs=9600+3600

                                                          =Rs.13200