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sveticcg [70]
3 years ago
10

Based on the pattern of the drawings, which conjecture

Mathematics
2 answers:
anzhelika [568]3 years ago
8 0

Answer:

The most reasonable answer would likely be the first.

"When a pair of parallel lines is intersected by a third line, the alternate exterior angles are congruent."

Step-by-step explanation:

navik [9.2K]3 years ago
5 0

Answer:

<h2>When a pair of parallel lines is intersected by a third line, the alternate exterior angles are congruent.</h2>

Step-by-step explanation:

This is the reasonable conjecture, because it's what actually happens. To get the answer we must remember what are alternate exterior angles.

Alternate exterior angles are formed by the intersection of a pair of parallels and a lines that intersect them like the figure shows. From this intersection result 4 pair of angles that are related: alternate interior angles, alternate exterior angles, corresponding angles and interior angles on the same side of the transversal.

So, alternate exterior angles are those outside the parallels (that's why they are called exterior), and they are placed in different sides of the intersecting line, one on the left, one on the right.

<em>Therefore, as you can see in the image, in each intersection, </em><em>there are two angles outside the parallels and in different sides of the intersecting line</em><em>, so they are alternate exterior angles, and they are the same, because the number shows it.</em>

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MariettaO [177]

Try to divide by each prime number starting with 2. If it is divisible, keep trying the same prime number until it is not divisible. Then move on to the next prime number, 3. Keep dividing until you get 1. All the prime numbers you divided by are the prime factorization.

List of the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Start with 85.

85 is not divisible by 2.

Move on to 3.

85 is not divisible by 3.

Move on to 5.

85/5 = 17

17 is a prime number, so now divide 17 by 17.

17/17 = 1

We divided just by 5 and 17.

Answer: The prime factors of 85 are 5 and 17.

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3 years ago
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3 years ago
The y-intercept in the linear equation −2y−4x−6=0 is _[blank]_. will give brainliest
Ronch [10]

Answer:

-3 is the value of the location where the line crosses the y-axis,and is commonly referred in the slope-intercept form of a line "the intercept". Now it may be your teacher expects you to answer this as the point on the plane where the y-intercept occurs, and that should be the point (0, -3). Make sure you follow your teacher's notation.

Step-by-step explanation:

Re-write the equation given in slope=intercept form by isolating the variable "y" on one side of the equation and expressing the rest in slope*x + y-intercet form:

-2y-4x-6=0\\-4x-6=2y\\y=-2x-3\\

which tells us that the slope of the line is -2 and it y-intercept is "-3".

Now, watch out because you may be asked to write the actual coordinates of the y-intercept, which are: (0, -3)

giving the x-coordinate 0 and the y-value where the line crosses the y-axis.

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Step-by-step explanation:

<em>Starter:</em>

According to the title:

"Every day, half a bacteria population dies."

Exponential: y = ab^x ( b > 0 , b ≠ 1)

So the answer is C.

<em>Calculations:</em>

An exponential model is of the form y = a • b^t.

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