C: 75ft 3
D:
100ft 3

Answer:

x = 136°

Step-by-step explanation:

We can use a theorem to help us.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

For exterior angle x, the remote interior angles are z and <CBD.

From the theorem, we get this equation.

x = z + m<CBD

We know z = 52°.

We need to find m<CBD.

Angles CBD and y are a linear pair. They are supplementary, so the sum of their measures is 180°. We are given y = 96°.

m<CBD + y = 180°

m<CBD + 96° = 180°

m<CBD = 84°

x = z + m<CBD

x = 52° + 84°

x = 136°

Answer:

x = 136°

Step-by-step explanation:

∠ABD = y = 96°, ∠ABD + ∠DBC must be equal to 180° because they form a straight angle.

[tex]y + B = 180\\96 + B = 180\\B = 180 - 96 = 84[/tex]

∠BDC = z = 52° and ∠DBC = B = 84.

Angles ∠BDC, ∠DBC, and ∠BCD must have a sum of 180° because the sum of the interior angles in a triangle is 180°.

[tex]180=(180 - y) + 52 + C\\180=(180 - 96) + 52 + C\\180 - (52 + 84) = C\\C = 44[/tex]

The interior angle at C is 44. Line DCE forms a straight line, therefore having an angle of 180°. To find x, the sum of x and interior angle C is 180°.

[tex]180 = C + x\\180 = 44 + x\\x = 180-44\\x = 136\\[/tex]

Angle ∠BCE = x = 136.

Answer:

To find the area of a parallelogram, multiply the base by the height.

The formula is: A = B x H where B is the base, H is the height.

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

A)  8 + 24 ÷ 12 x 4 = 8 + 2 x 4 = 8 + 8 = 16

B)  8 + 24 ÷ (12 x 4) = 8 + 24 ÷ 48 = 8 + 1/2

C)  32 ÷ 48 = 2/3

D)  8 + 2(4) = 16

Answer:

Rotation by 90 degrees clockwise about the point (2,2)

Step-by-step explanation:

Hope this is useful to u

Answer:

first one

Step-by-step explanation:

Answer:

It will be the first answer, Both balls will at the same rate

Given:

Consider the given terms of the sequence are:

20, 10, 5, ...

To find:

The type of sequence (arithmetic or geometric) and the common difference / ratio in simplest form.

Solution:

We have,

20, 10, 5, ...

Difference between consecutive terms are:

[tex]10-20=-10[/tex]

[tex]5-10=-5[/tex]

Since [tex]-10\neq -5[/tex], therefore the given sequence has no common difference, it means the given sequence is not arithmetic.

Ratio between consecutive terms are:

[tex]\dfrac{10}{20}=\dfrac{1}{2}[/tex]

[tex]\dfrac{5}{10}=\dfrac{1}{2}[/tex]

The given sequence has a common ratio [tex]\dfrac{1}{2}[/tex], it means the given sequence is a geometric sequence.

Therefore, the given sequence is a geometric sequence with common ratio [tex]\dfrac{1}{2}[/tex] it is also written as 0.5.

The probability of a freshman being a boy is 3/37.

What is probability?

Probability is a branch of mathematics that deals with the study of randomness and uncertainty in events. It is the measure of the likelihood or chance that an event will occur. Probability is expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event will occur with certainty.

The total number of students is:

3 + 1 + 4 + 2 + 7 + 9 + 6 + 5 = 37

The number of freshman boys is 3. Therefore,

P(Freshman Boy) = number of freshman boys / total number of students

P(Freshman Boy) = 3/37

Hence, the probability of a freshman being a boy is 3/37.

To know more about probability visit :

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Answer:

The total are of the three triangles is 36 square units.

The area of the figure is 60 square units.

Answer:

first box 36 second box 60

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-2x+6 [tex]\geq[/tex]-4

     -6   -6

-2x [tex]\geq[/tex]-10

divide both sides by -2

-2/2=-1

-10/2=-5

-5*-1=5

x[tex]\geq[/tex]5

x is greater than 5 so the number should be larger than 5 or equal to 5.

Answer:

1097

Step-by-step explanation:

1,030+ 67= 1097

Answer:

1097 Books

Step-by-step explanation:

1030+67=1097

Answer:

c. 137°

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

189-11=178

178-7=171

171-6=165

165-3=162

Answer:

b answer is correct answer

Answer:

48 :)

Step-by-step explanation:

120 divided by 10 = 12

12 x 4 = 48

Answer:

yo momma

Step-by-step explanation:

ha

Answer:

where's the picture. to the nearest mile...

Step-by-step explanation:

;-;

Answer:

t=0.45n

Step-by-step explanation:

1.8/4=4.5

6.75/4=4.5

t=0.45n

If this helps please mark as brainliest

Answer:

Step-by-step explanation:

Notice that each new term is closer to +1 than was the previous term.  We can conclude tat the sequence converges to 1.

Answer:

a) adjacent angles, complementary angles

b) vertical angles, congruent angles

c) supplementary angles, adjacent angles

d) supplementary angles, adjacent angles

Step-by-step explanation:

Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )

Complementary angles are angles that form a 90 degree angle  (  right angle )

Supplementary angles are angles that form a straight line

Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )

Answer:

[tex]X=6[/tex]

Step-by-step explanation:

From the question we are told that

Length [tex]l=2[/tex]

Height [tex]h=3/2[/tex]

Width [tex]w=1[/tex]

Generally the equation for Volume of the Rectangular prism is mathematically given by

 [tex]v=l*h*w[/tex]

 [tex]v=2*\frac{3}{2}*1[/tex]

 [tex]v=3m^3[/tex]

Therefore the number of half 1/2 inch cube X in v is

 [tex]X=\frac{v}{1/2}[/tex]

 [tex]X=6[/tex]

Answer:

17260

Step-by-step explanation:

multiply 14400 by 20%

After that add 14400 and 2880together

and you got the answer

Answer:

The original price would be $17,280

Step-by-step explanation:

14,400× 0.2= 2,880

14,400+ 2,880= 17,280

To solve this problem, we simply need to plot the cosine graph.

The graph of cosine can easily be plotted and we can compare both together.

Kindly check the attached image and we can easily see the graph of

is option A.

Comparing the asymptotes together, it reveals more information on that.

Learn more on graph of cosine here;

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Answer:

look at the picture I have sent

Answer:

the bin 60-69 contain the most data values

Answer:

third option is the right one

Step-by-step explanation:

Answer:

Step-by-step explanation:

the whole bag is made of 5 orange +4blue+3 green= 12 marbles

P of orange than green = P orange * P green = 5/12 * 3/12 = 15/144 = 5/48

you multiply when the events depend on each other to happen, so for the orange and then green to happen you need the orange and also the green

Answer: 21.2

Step-by-step explanation:

Answer: 22.2

Step-by-step explanation: the other person miss typed