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2 years ago

In ΔPQR, point C is the centroid. If PZ = 7, then RZ = A) 3.5 B) 7 C) 14 D) 21

Mathematics

2 answers:

choli [55]2 years ago

5 0

The answer is B) 7. PZ is half of PR, which makes RZ half of RP, making RZ also 7.

Deffense [45]2 years ago

4 0

Answer: B) 7

Step-by-step explanation:

We know that a median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.

Centroid : A point in a triangle where all the three medians of the triangle meet.

From the given figure, we can see that if C is the centroid of the triangle then QP must be a median of the triangle.

It implies the point Z must be the mid point of the line segment PR .

⇒ PZ=ZR

Therefore, RZ= 7 units .

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800 is 10 times as much as

Anon25 [30]

80 because 800= 10 x 8

3 0

3 years ago

find x if the distance between points L and M is 15 and point M is located in the first quadrant. L=(-6,2) M=(x,2)

aivan3 [116]

Answer:

Therefore,

$x = 9$

Step-by-step explanation:

Given:

Let,

point L( x₁ , y₁) ≡ ( -6 , 2)

point M( x₂ , y₂ )≡ (x , 2)

l(AB) = 15 units (distance between points L and M)

To Find:

x = ?

Solution:

Distance formula between Two points is given as

$l(LM)^{2} = (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}$

Substituting the values we get

$15^{2}=(x--6)^{2}+(2-2)^{2}\\\\225=(x+6)^{2}$

Square Rooting we get

$(x+6)=\pm \sqrt{225}=\pm 15\\\\x+6 = 15\ or\ x+6 = -15\\\\x= 9\ or\ x = -21$

As point M is located in the first quadrant

x coordinate and y coordinate are positive

So x = -21 DISCARDED

Hence,

$x = 9$

Therefore,

$x = 9$

3 0

3 years ago

3 times a number is 54 less than the square of that number. Find the negative solution.

Pavel [41]

Answer:

x=-6

Step-by-step explanation:

Let x be the number

3x = x^2 -54

Subtract 3x

3x-3x = x^2 -3x-54

0 = x^2 -3x-54

Factor

What 2 numbers multiply to -54 and add to -3

-9*6 = -54

-9+6 = -3

0=(x-9) (x+6)

Using the zero product property

x-9=0 x+6=0

x=9 x=-6

The questions asks for the negative solution

x=-6

3 0

3 years ago

Please help!! BRAINLIEST to correct answer!! I’m just confused by how to find two answers. I only found one.

GenaCL600 [577]

I have no clue but you could ask your teacher to help u with it no jk the answer is -7

3 0

2 years ago

Zahra has paper rectangles of different sizes. Every rectangle is 5 centimeters longer than it is wide. Is there a proportional

Alika [10]

Answer: The answer is NO. Explained below.

Step-by-step explanation: Given that Zahra has a number of rectangles of different sizes which are made of paper. Also, the length of every rectangle is 5 cm more than its breadth.

We are to find whether the relationship between lengths and breadths of rectangles is proportional or not.

Let, 'l' represents the length and 'b' represents the breadth of any of these rectangles, then according to the given information, we can write

l = b + 5.

For a proportional relationship, we need a relation of the form

l = k × b, which is not always possible in the given case.

For example, if l = 8, b = 3, and l=9, b=4 then we cannot write

l = k × b, for a constant k.

Hence there is no proportional relationship between the lengths and widths of these rectangles.

Thus, the answer is NO. Hence explained.

5 0

2 years ago

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