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Valentin [98]
3 years ago
15

In the diagram below, BD is parallel to XY. What is the value of x? 76 y​

Mathematics
1 answer:
Butoxors [25]3 years ago
6 0

Answer:

x = 76°

Step-by-step explanation:

Corresponding angles are formed when a transversal line cuts across two parallel lines. The angles formed are in corresponding position close to the transversal. Corresponding angles formed like this are congruent.

In the diagram given above, BD and XY are parallel lines cut across by a transversal line.

Angle labelled x corresponds with the angle measuring 76°. Therefore they are both congruent. Thus: x = 76°.

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What is the product?<br> [4 3 -1 -1] x [-3 1 -2 -2]
IrinaVladis [17]

Answer:

Option A

|-6 -2|

|1 1|

Step-by-step explanation:

This is a product of a matrix.

So for the first number on the first row, we have;

(4 × -3) - (3 × -2) = -12 + 6 = -6

For the second number on the first row, we have;

(4 × 1) - (3 × 2) = 4 - 6 = -2

For the first number on the second row, we have;

(-1 × -3) - (-1 ×-2) = 3 - 2 = 1

For the second number on the second row, we have;

(-1 × 1) - (-1 × 2) = -1 + 2 = 1

Thus, we now have;

|-6 -2|

|1 1|

7 0
2 years ago
Read 2 more answers
Three weeks ago John bought stock at 49 1/4; today the stock is valued at 49 7/8. We could say the stock is performing at which
Bad White [126]

Answer:

The correct option is D.

Step-by-step explanation:

John bought stock at 49\frac{1}{4}; today the stock is valued at 49\frac{7}{8}.

49\frac{1}{4}=49+\frac{1}{4}

49\frac{1}{4}=49+0.25

49\frac{1}{4}=49.25

The value of stock at the time of purchasing is 49.25.

49\frac{7}{8}=49+\frac{7}{8}

49\frac{7}{8}=49+0.875

49\frac{7}{8}=49.875

The value of stock at current time is 49.875.

49.875-49.25=0.625

The value of stock increased by 0.625.

Since the value of stock increases, therefore the correct option is D, i.e., Above par.

7 0
3 years ago
Read 2 more answers
Linh has obtained scores of 82, 79, and 75 on her midterm algebra exams. If the final exam counts twice as much as a midterm, wh
OLga [1]

Answer:

She must make a score of 42 in the final exam to obtain an average of 80.

Step-by-step explanation:

Hi there!

Let x be the score of the final exam, the equation will be as follows (remember that the score of the final counts double):

(82 + 79 + 75 + 2x)/4 = 80

Let´s solve the equation for x multiplying each side of the equation be 4:

82 + 79 +75 + 2x = 320

Substract 82, 79 and 75 to both sides of the equation:

2x = 320 - 82 - 79 -75

2x = 84

x = 84/2

x = 42

She must make a score of 42 in the final exam to obtain an average of 80.

Have a nice day!

8 0
3 years ago
Which set of ordered pairs does not represent a function?
Tresset [83]

Answer:

B

Step-by-step explanation:

The sets have to have different x values to be a function, as we can see in B…

(8, 2) and (8, -1) have the same x values.

3 0
2 years ago
find the volume of a rectangular prism if the length is 3x^2, the width is 2xand the height is x^2+3x+5
nevsk [136]

You are given the length of a rectangular prism of 3x^2, width of 2x and height of x^2 + 3x +5. You are required to find the volume of a rectangular prism. Using the equation V = l x w x h, we multiply the three dimensions.

V = l x w x h

V = (3x^2)(2x)( x^2 + 3x +5)

V = 2x (3x^4 + 9x^3 + 15x^2)

V = 6x^5 + 18x^4 + 30x^3

The volume of the rectangular prism is 6x^5 + 18x^4 + 30x^3.

3 0
2 years ago
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