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Delvig [45]
3 years ago
7

Indicate the method you would use to prove the two triangles congruent. If no method applies, enter “none”.

Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

We have to determine the congruence criteria which would prove that the given triangles are congruent.

Consider the triangles RSV and VTU

VR = VU (Given)

\angle RSV = \angle VTU (Given)

\angle SVR = \angle TVU (Given)

Hence, the triangles RSV and VTU are congruent by AAS congruence criteria.

As, if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent by AAS congruence criteria.

So, option 4 is the correct answer.

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Holly drinks 2 litres of water each day.
natulia [17]

Answer:

14 litre

Step-by-step explanation:

1 week = 7 days

in 1 day holly drinks 2 L water

here, 7*2=14

4 0
3 years ago
Read 2 more answers
Gambling at a slot machine is an example of which reinforcement schedule?
gogolik [260]

Answer:

d. Variable ratio

Step-by-step explanation:

We are asked to determine that gambling at a slot machine is an example of which reinforcement schedule.

Let us see our given choices one by one.

a. Fixed ratio

We know that in fixed ratio schedule, reinforcement is delivered after the completion of a number of responses. An example of fixed ratio is a reward to every 6th response.

b. Fixed interval

We know that in fixed interval schedule the first response is rewarded only after a specified amount of time has elapsed. An example of fixed interval schedule is weekly paycheck.

c. Variable interval

We know that in variable interval schedule, the reinforcement is delivered at changing and unpredictable intervals of time.

d. Variable ratio

In variable ratio schedule, a response is reinforced after an unpredictable number of responses. Gambling and lottery are examples of variable ratio.

Therefore, option 'd' is the correct choice.

8 0
3 years ago
x^2+6x+4 Which of the following is equivalent to the expression above? Justify your answer. A) (x+3)^2+5 B) (x+3)^2-5 C) (x-3)^2
vaieri [72.5K]

Answer:

B) ( x+3)² - 5

Step-by-step explanation:

Given expression

               x²+6x+4

Adding '9' and subtracting '9' of given expression

      ⇒ x² + 2 (3) (x) +(3)² -(3)² +4

(a + b)² = a² + 2 a b + b²

     ⇒ ( x+3)² - 9 +4

     ⇒ ( x+3)² -5

4 0
3 years ago
2. An arc is a smooth piece of a circle. A major arc of a circle is an arc that is
Maru [420]

Answer: Major arc = ∅/360 (2πr)

Step-by-step explanation: Just as the question stated, an arc is a smooth piece of a circle. Simply put, it is a portion of the entire circumference. The arc is usually bounded by an angle at the center of the circle (very similar to a slice of pizza). Using a slice of pizza as a classic example, the outer edge where the slice is pulled out from is the length of the arc, while the angle at the tip which is pulled out from the center is the angle that encloses the arc.

Just as a slice of pizza is a minor part of the whole shape, in the same way an arc is a minor part of a circle. However, to calculate the length of the arc, the angle at the center which encloses the arc must be given and the radius of the circle must also be given.

If an arc runs around a circle and turns out to be longer than half of the entire length of the circumference, it is labelled as a major arc. Basically, the formula for calculating the length of an arc is the same for either a minor or a major arc.

Therefore, to calculate the length of an arc, you would need to find the proportion of the circle represented by the arc and that can be calculated by dividing the angle binding the arc by 360 (size of an angle at a point equals 360 degrees). So, if the angle that encloses the arc is 60 degrees for example, then the portion of the circle taken by the arc is given as

60/360

This means the length of the arc (which is a portion of the entire circumference) can be determined by multiplying the portion of the  central angle by the entire length of the circumference.

Therefore you can calculate the measure of major arc ABC by applying the formula

Length of an arc = ∅/360 (2πr)

Where ∅ is the angle enclosing the arc at the center of the circle

r is the radius of the circle and

π is usually given as 3.14 (or 22/7)

Please note that for a major arc, the value of ∅ would be greater than 180°. The measurement used in the explanation above is just an example for the sake of ease of explanation.

And where the only the angle measure of the minor arc is given, the angle measure of the major arc can be derived as 360 - angle of minor arc. That is;

Angle of major arc = 360 - angle of minor arc

6 0
3 years ago
Help me figure out what X is
11Alexandr11 [23.1K]

8x+11=7x+26\\ 8x-7x=26-11\\ x=15

4 0
3 years ago
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