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poizon [28]
3 years ago
8

The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:

Mathematics
1 answer:
Stels [109]3 years ago
7 0

Answer:

SAS postulate

Step-by-step explanation:

In the figure attached, quadrilateral ABCD is shown.

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

AB is congruent to DC, and DB is the side common to triangles ABD and BCD. The included angle between sides AB and DB is angle ABD which is congruent with angle BDC, the angle included between sides DB and DC.

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Using a six-sided die, you have rolled a 6 on each of four successive tosses. What is the probability of rolling a 6 on the next
ollegr [7]

Answer:

The probability of rolling a 6 on the next toss = 1/6

Step-by-step explanation:

Given - Using a six-sided die, you have rolled a 6 on each of four successive tosses.

To find - What is the probability of rolling a 6 on the next toss?

Proof -

As the outcomes of previous rolls do not affect the outcomes of future rolls.

And there is one desired outcome and six possible outcomes.

So,

The probability of rolling a six on the fifth roll = 1/6 which is same as the probability of rolling a six on any given individual roll.

So,

The answer is -

The probability of rolling a 6 on the next toss = 1/6

8 0
3 years ago
What is really critical for the y -<br> intercept?<br> Please answer
ANEK [815]

Answer:

That it satisfies x = 0

Step-by-step explanation:

The y-intercept is whatever the y-value is when the x-value is zero, therefore if the x-value is anything other than 0, you can't have the y-intercept value.

8 0
2 years ago
Read 2 more answers
​ △BCD ​ is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.
zheka24 [161]
<span>here we can use Pythogoras' theorem.
in right angled triangles the square of the hypotenuse is equal to the sum of the squares of the other 2 sides.
hypotenuse is 19 cm. One side is 13 cm and we need to find the length of the third side.
                                                                         
19</span>²<span> = 13</span>²<span> + X</span>²<span> 
X - length of the third side
                                                           
361 = 169 + X</span>²<span> 
X</span>²<span> = 361 - 169
                                                                     
X</span>²<span> = 192
                                                                             
X = 13.85 the length of third side rounded off to the nearest tenth is 13.9 cm</span>
3 0
3 years ago
Which sentence below represents the number of test questions in the problem below?
katrin2010 [14]

Answer: there are 10 multiple choice questions and 15 short-answer questions

Step-by-step explanation:

Let x represent the number of multiple choice questions in the test.

Let y represent the number of short-answer questions in the test.

If the test has 25 questions, it means that

x + y = 25

Multiple-choice questions are worth 2 points, and short-answer questions are worth 4 points. The test is worth a total of 80 points. It means that

2x + 4y = 80 - - - - - - - -1

Substituting x = 25 - y into equation 1, it becomes

2(25 - y) + 4y = 80

50 - 2y + 4y = 80

- 2y + 4y = 80 - 50

2y = 30

y = 30/2 = 15

x = 25 - y = 25 - 15 = 10

A. The number of multiple-choice questions plus the number of short-answer questions is 25.

4 0
2 years ago
The cost to rent a bicycle is $5.00 plus $3.00 per hour for x hours. What equation
Rainbow [258]

Answer:

3

Step-by-step explanation:

hope this helps with the problem

8 0
3 years ago
Read 2 more answers
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