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MrMuchimi
3 years ago
12

Solve for n: 21 K - 3n + 9 p is greater than 3 p + 12

Mathematics
1 answer:
Digiron [165]3 years ago
6 0

Answer:

n > p + 1 + 7k

Step-by-step explanation:

21k - 3n + 9 > 3p + 12

21k - 3n > 3p + 12 - 9

3n > 3p + 3

3n > 3p + 3 + 21k

n > (3p + 3 + 21k)/3

n > p + 1 + 7k

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\ Which center of a triangle is also the center of gravity of the triangle? orthocenter centroid incenter circumcenter
Citrus2011 [14]
That is the centroid.

The point where the lines from each vertex of the triangle  to the midpoints of the opposite sides intersect.
3 0
3 years ago
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
Old Navy buys jeans from a warehouse for $24. They
Anuta_ua [19.1K]

Answer:

24 to 34? = 41.67%.

Step-by-step explanation:

6 0
3 years ago
There are six houses in a colony, such that 3 houses are in one row and the other 3 houses are in the opposite row. The three ho
Reil [10]

The GREEN house is diagonally opposite the orange-coloured house.

There are six houses in a colony, such that 3 houses are in one row and the other 3 houses are in the opposite row.

Each house is painted with a different colour from red blue, green,

yellow, pink and orange.

1. Houses at the corner are not painted in blue and red colour

2. House painted orange colour is not opposite the house painted in green colour

3. Yellow and pink coloured houses are not in the same row

We need to find which house is diagonally opposite the orange-coloured house

<h3>What is probability?</h3>

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favourable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Arrangement is

Row1              1             2             3

Row2             4             5             6

Houses at the corner are not painted blue and red colour

1, 3, 4 & 6 are at the corner hence 2 and 5 has been Blue and Red in colour.

Blue = B , Red = R

Row1              1             B/R             3

Row2             4            R/B             6

House painted with orange colour is not opposite the house painted with green colour

Yellow and pink coloured houses are not in the same row

Also yellow and pink can not be opposite as then orange will be opposite to green

Hence yellow and pink are diagonally opposite

Hence green house is opposite to orange House

Row1              Y/P             B/R                G/O

Row2             O/G            R/B                 P/Y

or

Row1              O/G             B/R               P/Y  

Row2             Y/P            R/B                 G/O

The GREEN house is diagonally opposite the orange-coloured house.

To learn more about probability visit:

brainly.com/question/9793303.

#SPJ4

4 0
1 year ago
For f(x) = 3x +1 and g(x) = x - 6, find (f- g)(x).
Finger [1]

Answer:

c. -x + 3x + 7  = 2x+7

Step-by-step explanation:

f(x) = 3x +1 and g(x) = x - 6

f-g = 3x +1 - ( x - 6)

Distribute the minus sign

     = 3x+1 - x+6

     = 2x +7

4 0
3 years ago
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