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hjlf
3 years ago
6

Name the two congruent angles.

Mathematics
1 answer:
irakobra [83]3 years ago
3 0

Answer:

Two congruent angles are ∠BCD, ∠ACD

Step-by-step explanation:

An angle is the figure formed by two rays sharing a common the vertex.

Two figures are said to be congruent if they have the same shape and size.

Two angles are congruent if their measures are the same.

Consider the given figure.

The two congruent angles are ∠BCD, ∠ACD as they have the same measure.

That is ∠BCD ≅ ∠ACD

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3 years ago
Please help ASAP and if u can show work
scoray [572]

Angle 1=x

Angle 2=y

x+y=180(linear pair)

y=180-x___(1)

(3/2)x=y

(one angle is 1and half the measure of the other)

3x=2y

substitude (1)

3x=2(180-x)

3x=(360-2x)

5x=360

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y=180-x

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Suppose a normally distributed set of data has a mean of 178 and a standard deviation of 20. Use the 68-95-99.7 Rule to determin
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Answer:

97.7%

Step-by-step explanation:

For a score below 218 :

P(x < 218)

Standard deviation = 20 ; mean = 178

Obtian the standardized score (Zscore) :

Zscore = (x - mean) / standard deviation

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P(x < Z) = P(Z < 2) = 0.97725 (Z probability calculator)

0.97725 * 100 = 97.725 = 97.7%

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3 years ago
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Read 2 more answers
Match each expression to the correct verbal description.
aleksandr82 [10.1K]

Answer: (7x + 8)³ ↔ the cube of the sum of 7x and 8

              7(x + 8)³ ↔ 7 times the cube of the sum of x and 8

             7x³ + 8 ↔  8 added to the product of 7 and x cubed

             (7x)³ + 8 ↔ 8 added to the cube of 7x

Step-by-step explanation:

(7x + 8)³ ↔ the cube of the sum of 7x and 8: for this case you will find that the values are into the parenthesis, then for each value apply the same exponent because of that all the values into the parenthesis are elevated to the cube,

7(x + 8)³ ↔ 7 times the cube of the sum of x and 8: in this example the 7 is multiplying all the values into the parenthesis, then you can find six times the sum of x and 8 elevated to the cube, also keep in mind that exponent which is 3 only apply to the values which are into the parenthesis and this values are the x and 8

7x³ + 8 ↔  8 added to the product of 7 and x cubed: for this equation, you will find that 7 is multiplying to the x elevated to the cube after that, the 8 is added to this product.

(7x)³ + 8 ↔ 8 added to the cube of 7x: this final we can see that the values into the parenthesis are elevated to cube, the values are 7 and x, after this equation the 8 is added to the product.

6 0
4 years ago
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