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egoroff_w [7]
2 years ago
15

Given right triangle ABC with a=50, and m

Mathematics
1 answer:
kramer2 years ago
3 0

Answer:

A=50 B=40 C=90

Step-by-step explanation:

B is a right angle so its automatically 90 degrees since A=50 and a triangle has to be 180 degrees 90+50= 140, 180-140=40.

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These tables represent an exponential function.Find the average rate of change for the interval from x=8 to x=9
GuDViN [60]

Answer:

Option D. 13122 is the answer.

Step-by-step explanation:

As we can see from the table having interval and average rate of change, figures under average rate of change are forming a geometric sequence.

Sequence is 2, 6, 18 , 54, 162, 486.

and we have to find the average rate of change from x = 8 to x = 9, means we have to find 9th term of the given sequence.

Now we know that explicit formula of the sequence can be written as T_{n}=ar^{n-1}

where Tn is the nth term of the sequence.

a = first term

r = common ratio

n = number of the term

Now from this explicit formula we can find the 9th term of the sequence.

From the given table

a = 2, r = 3, n = 9

T_{9}=2.3^{9-1}=2.3^{8}

T9 = 13122

Therefore Option D. 13122 will be the answer.

6 0
3 years ago
The sum of three consecutive numbers is greater than 40. The inequality that represents this is x + x + 1 + x + 2 > 40. Which
Brut [27]

Answer:

3x > 37

x > 12.333

Thus, 13 and 15 satisfy

Step-by-step explanation:

hope this helps

3 0
3 years ago
Read 2 more answers
Based only on the information given in the diagram, which congruence
romanna [79]
<h3>1 Answer: Choice D) SAS</h3>

=================================================

Explanation:

LA stands for Leg Angle. More specifically, the angle is an acute angle. This theorem only works for right triangles. We see that ED = LK which is one pair of congruent leg segments. So that takes care of the L part of LA. However, we don't know anything about the acute angles. We don't know if angle E = angle L, or if angle F = angle M, or something along those lines. We need angle markers to tell us or not.

In short, we only have half the info needed for LA, so we must cross choice A off the list.

----------------

HA stands for hypotenuse angle, or hypotenuse acute angle, and this rule only applies for right triangles. We don't know anything about the hypotenuse lengths if they are the same or not.

Similar to choice A, we don't know anything about the acute angles either.

Those two facts mean we must cross off choice B.

----------------

AAS stands for Angle Angle Side. The order is important because the side is not between the angles. The diagram only shows one pair of angles that are congruent to one another. That pair being the 90 degree angles indicated with the square marker. We don't have another pair of angles, so we cannot use AAS.

Cross choice C off the list.

-----------------

We can use SAS because we have two pairs of congruent sides and one pair of congruent angles.

The congruent sides are

  • ED = LK (double tickmarks)
  • DF = KM (single tickmarks)

That takes care of the two "S"s of "SAS". The "A" would be those two right angles which are congruent to one another. The angles are between the congruent sides which is important. Recall that SSA is not a valid congruence theorem.

So that's why choice D is the only answer.

-----------------

Side note: We could use the LL theorem, where L stands for leg, since we are given two pairs of congruent legs for each triangle. Like LA and HA, this only applies to right triangles. LL is a special case of SAS. However, LL isn't listed so we'll just be sticking with SAS as the only answer.

8 0
3 years ago
David can paint a fence in ten hours. Alex can paint the same fence in eight hours. If
xxTIMURxx [149]

Answer:

40/9

Step-by-step explanation:

Use the work formula, \frac{1}{A} + \frac{1}{B} = \frac{1}{T}, where A is the amount of time it takes one person, B is the amount of time it takes another person, and T is the time it takes for them to work together.

Plug in the times for David and Alex alone:

\frac{1}{10} + \frac{1}{8} = \frac{1}{T}

Find the least common denominator, which is 40.

\frac{4}{40} + \frac{5}{40} = \frac{1}{T}

\frac{9}{40} = \frac{1}{T}

Cross multiply and solve for T:

9T = 40

T = 40/9

So, if they worked together, it would take them 40/9 hours

3 0
2 years ago
Read 2 more answers
What is a matrix for a system of equations that does not have a unique solution?
vlada-n [284]

A system of linear equations can have no solution, a unique solution or infinitely many solutions. A system has no solution if the equations are inconsistent, they are contradictory. for example 2x+3y=10, 2x+3y=12 has no solution. is the rref form of the matrix for this system.

This is in my opinion. Im not sure if it is correct or not but Good luck!


4 0
3 years ago
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