The possibility of an event happening is its ______.

angle DCF = angle DCE + angle ECF

angle DCF = 75° + 54°

angle DCF = 129°

Measure of < DCF is  [tex]129^{0}[/tex].

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

According to the figure

< DCE = [tex]75^{0}[/tex]

< ECF = [tex]54^{0}[/tex]

Measure of < DCF = < DCE + < ECF

=  [tex]75^{0}[/tex] +  [tex]54^{0}[/tex]

= [tex]129^{0}[/tex]

Hence, measure of < DCF is  [tex]129^{0}[/tex].

Find out more information about angle here

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Answer:

exact form- 61/8

mixed number form-7 5/8

?

Step-by-step explanation:

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

61 /8

Decimal Form:

7.625

Mixed Number Form:

7

5/8

Step-by-step explanation:

Answer:

15000

Step-by-step explanation:

Answer:

15kg = 15,000 grams

Step-by-step explanation:

hope this helped if it did mark brainlest

and let me know

Answer:

y=3x+5

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

119 is adjacent to angle x. angle x and 119=180 (because the angle of a straight line is 180.) which means to find angle x you have to subtract 119 from 180. 180-119=61. because you now know two angles in the triangle you can add the together and subtract them from 180 (remember 180 is what all the angles in a triangle should add up to 180). 61+57=118 and 180-118=62

i hope this helped!

Answer:

points

Step-by-step explanation:

Answer:

x + 11

x = 6

6 + 11

17

Step-by-step explanation:

Answer: X+11=6+11=17 #5

Step-by-step explanation:

Hope this helps! Have a good day! :)

Answer:

$36.4

Step-by-step explanation:

Given

Cost of Jean = $56

Percent markdown = 35%

Discount = 35% of $56

Discount = 0.35 * 56

Discount = $19.6

New price = $56 - (35% of $56)

New price = $56 - 19.6

New price = $36.4

hence the price that will replace B is $36.4

Answer:

d = 4.90

Step-by-step explanation:

Given the following data;

F = 9

d = 4

For an inversely proportional relationship, we have;

F = k/d²

Now, we would find the constant, k;

9 = k/4²

k = 9*16

k = 144

Next, to find d, when F = 6

d² = k/F

d² = 144/6

d² = 24

Taking the square root of both sides, we have;

d = 4.90

Answer:

292.5

Step-by-step explanation:

t= hours, they traveled 4 1/2 hours, or 4.5 hours, so t= 4.5

The expression is 65t, so putting in the 4.5, its

65(4.5), 65 x 4.5= 292.5

So, the answer is 292.5

Answer:

$282

Step-by-step explanation:

Answer:

Mode.

Because it is used to determine the most frequently occurring item which in this case is movie.

Step-by-step explanation:

The 3 measure of central tendencies are namely;

Mean, median mode.

- Mean is defined as the average of a set of data.

- Median is the middle term of a set of data that splits that set of data into 2.

- Mode is the term that occurs most frequently in a set of data.

In this question, we want to find the movies most frequently watched.

Thus, from the definitions above earlier, it is clear that the only way to know this is using the mode.

Answer:

Step-by-step explanation:

i dont see an image

Answer:

−5.6<−4.2, and −5.6 is located to the left of −4.2

Step-by-step explanation:

Given the statements :

−5.6<−4.2, and −5.6 is located to the left of −4.2 (True) because - 5.6 located to the left of the number line and numbers are arranged from right to left in decreasing order.

−5.6<−4.2, and −5.6 is located to the right of −4.2. (Not true) only the first assertion is correct, - 5.6 < - 4.2, but 5.6 isn't located to the right of - 4.2

−5.6>−4.2, and −5.6 is located to the left of −4.2 (Not true) ; Though 5.6 is located to the left of 4 2, 5.6 is < 4.2

−5.6>−4.2, and −5.6 is located to the right of −4.2. (Not true) ; - 5.6 is < -4.2 and also located to the left of - 4.2

Answer:

1/3

Step-by-step explanation:

1/2 of spices

1/2 * 2/3 = 2/6 = 1/3

Answer:

u = 66

v = 38

Step-by-step explanation:

In a parallelogram, opposite angles are equal.  U is opposite to 66, so it is 66 degrees

In a parallelogram, corresponding angles are supplementary.  180 - 66 = 114

this means that 3v = 114.  114/3 = 38, which is what v is.

Answer:

● First part = 2×x = 2x

● Second part= 8×x = 8x

● Third part= 6×x = 6x

Now,

2x+8x+6x = 144

or, 16x= 144

or, x=144/6

or, x=9

therefore, x=9

Given:

The selling price of a ratio set = 72.00

Profit percent = 8%

To find:

The cost price for the radio set.

Solution:

Let x be the cost price for the radio set.

Radio set is sold at 8% profit.

[tex]\text{Selling price}=x+\dfrac{8}{100}x[/tex]

[tex]\text{Selling price}=x+0.08x[/tex]

[tex]\text{Selling price}=1.08x[/tex]

The selling price of a ratio set is 72.00.

[tex]72=1.08x[/tex]

[tex]\dfrac{72}{1.08}=x[/tex]

[tex]x=66.666...[/tex]

[tex]x\approx 67[/tex]

Therefore, the cost price for the radio set is 67.

Answer:

q=31

Step-by-step explanation:

5q = 178-23

5q = 155

q = 31

Answer:

31

Step-by-step explanation:

178-23=155

155/5= 31

Answer:

120

Step-by-step explanation:

The formula for a triangle is 1/2bh

so u first multiply 12 by 20 which you will get 240.

After you get 240 u multiply it by the 1/2 which also means dividing by 2.

240 divided by 2 is 120.

Answer:

If your looking for I the answer is -3

Step-by-step explanation:

Simplify both sides of the equation

1/2(4i+8)=-2       - Distribute

(1/2) (4i) + (1/2) (8) = -2

The subtract 4 from both sides

Then divide both sides by 2

Answer:

A = (9)(12)

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

theoretical probability of a coin flip is always 50% heads, 50% tails