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STatiana [176]
2 years ago
11

Some steps to construct an angle MNT congruent to angle PQR are listed below. Step 3 is not listed: Step 1: Use a compass to dra

w an arc from point Q which intersects the side PQ at point A and the side QR at point B. Step 2: Draw a segment NT and use the same width of the compass to draw an arc from point N which intersects the segment NT at a point X. Step 3: Step 4: Join points N and Y using a straightedge.
Mathematics
1 answer:
Shkiper50 [21]2 years ago
8 0

Answer:

step 3: place the tip of the compass at point x and strike the arc at point y

Step-by-step explanation:

congruent triangles are triangles that have equal shape and size. They are the same in every way. this is the reason why they are called CONGRUENT

we have been asked to construct an angle MNT congruent to angle PQR. this means we are to construct angle that is the same as that at PQR.

with a ruler and a compass we can easily make a replica of the angle at PQR.

following the steps given in the question including step 3 that i have just added, the angle MNT will be the same as the angle PQR

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In college basketball, some teams get most of their points from just one player, and other teams are more balanced in scoring. C
lutik1710 [3]

Answer:

(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

(D)The mean number of points per player per game is the same at all 3 schools.

Step-by-step explanation:

<u>Baylor University</u>

6 players who each score 12 points per game

6 players who each score 0 points per game.

The Scores are: 0,0,0,0,0,0,12,12,12,12,12,12

Mean=\frac{0+0+0+0+0+0+12+12+12+12+12+12}{12} \\Mean=6\\Median=\frac{12+0}{2}=6

<u>University of Maryland</u>

1 player scores 58 points per game,

1 player scores 14 points per game,

The rest(10) of the players score 0 points per game.

The Scores are: 0,0,0,0,0,0,0,0,0,0,14,58

Mean=\frac{0+0+0+0+0+0+0+0+0+0+14+58}{12} \\Mean=6\\Median=\frac{0+0}{2}=0

<u> Dartmouth College</u>

4 players score 5 points per game,

4 players score 6 points per game,

4 players score 7 points per game.

The Scores are: 5,5,5,5,6,6,6,6,7,7,7,7

Mean=\frac{5+5+5+5+6+6+6+6+7+7+7+7}{12} \\Mean=6\\Median=\frac{6+6}{2}=6

The following applies:

(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

(D)The mean number of points per player per game is the same at all 3 schools.

7 0
1 year ago
(iii) Find the smallest whole number h such that<br>4704/h<br>is a cube number.<br>​
yan [13]

Answer:

h=588

Step-by-step explanation:

Given the fraction \dfrac{4,704}{h}

Consider its numerator and factor it:

4,704=2^5\cdot 3\cdot 7^2

You cann not take the cube root from 3, 7^2, 2^5, you can only take the cube root from 2^3, then the smallest whole number h such that \dfrac{4,704}{h} is a cube number is

h=2^2\cdot 3\cdot 7^2=4\cdot 3\cdot 49=588

When h=588,

\dfrac{4,704}{588}=8=2^3

6 0
1 year ago
? A survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits
Anastasy [175]
Percent means per one-hundred

300(10/100)=30

So 30 of the 300 workers were satisfied with their benefits.
5 0
2 years ago
The cubit is an ancient unit. Its length equals six palms. (A palm varies from 2.5 to 3.5 inches depending on the individual.) W
olasank [31]

Assuminhg the ark has a shoe-box (cuboid) shape it´s volume would be:

V_{cuboid}=lenght*width*height

We have this three measurements (l=300cubits;w=50cubits;h=30cubits)) and it can be as simple as replacing them in the equation and solving but they are in all in cubits. We will convert them to ft because the problem requires the answer in ft^{3}. In order to do this we will use the given equivalences:

1cubit=6palms\\1palm=3.10in

and another one:

1ft=12in

First we will convert from cubits to palms:

l=300cubits*\frac{6palms}{1cubit}=1800palms\\w=50cubits*\frac{6palms}{1cubit}=300palms\\h=30cubits*\frac{6palms}{1cubit}=180palms\\

now from palms to in:

l=1800palms*\frac{3.10in}{1palm}=5580in\\w=300palms*\frac{3.10in}{1palm}=930in\\h=180palms*\frac{3.10in}{1palm}=558in\\

now from in to ft:

l=5580in*\frac{1ft}{12in}=465ft\\w=930in*\frac{1ft}{12in}=77.5ft\\h=558in*\frac{1ft}{12in}=46.5ft

We can calculate the Volume now like this:

V_{ark}=465ft*77.5ft*46.5ft=1675743.75ft^{3}

The volume of trhe ark would be 1675743.75ft^{3}

6 0
1 year ago
The graphs below show measurements from cubes with different side lengths. Which pairs of variables have a linear relationship?
MakcuM [25]

Answer:

side length and perimeter of 1 face

area of 1 face and surface area

Step-by-step explanation:

Just did it

4 0
1 year ago
Read 2 more answers
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