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3 years ago

What is the relation between adjacent and congruent angles?.

1 answer:

5 0

Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex. Adjacent angles share a common ray and do not overlap. The size of the angle xzy in the picture above is the sum of the angles A and B.

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Appreciate the support!

andreyandreev [35.5K]

The volume of a rectangular prism is represented by the following equation:

$V=w*h*l$

Where the variables are for volume, width, height, and length, respectively.

We are given that the area of one end is 16 cm² (units have to be correct when solving these problems, so it's 16 cm², not 16 cm as described in the problem). We know that $A=w*h$

Using this knowledge, we can change the volume equation to our needs.

$V=w*h*l$

$V=(w*h)*l$

$V=A*l$

Note: We know that A is 16 since it's given

$V=16*l$

The volume is 208 cm³ (once again, incorrect units given). Insert this into the equation.

$208=16*l$

Divide both sides of the equation by 16.

$13=l$

The length is 13 cm.

Let me know if you need any clarifications, thanks!

4 0

3 years ago

IJ is a midsegment of FGH. IJ=10, FH=8, and GH=14.Find the perimeter of ijh

never [62]

Answer:

$Perimeter = 21$

Step-by-step explanation:

Given

$IJ = 10$

$FH = 8$

$GH =14$

Required

Calculate the perimeter of IJH

<em>See attachment for illustration</em>

From the attachment,

I = mid of FH.

So:

$HI = \frac{1}{2} * FH$

$HI = \frac{1}{2} * 8$

$HI = 4$

J = mid of GH.

So:

$HJ = \frac{1}{2} * GH$

$HJ = \frac{1}{2} * 14$

$HJ = 7$

Perimeter IJH is then calculated as:

$Perimeter = HI + HJ + IJ$

$Perimeter = 4 + 7 + 10$

$Perimeter = 21$

4 0

3 years ago

What is the value of x?

shusha [124]

Answer:

135????

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

19.) Here's the data (sorted) of the ages of 91 women who won the Oscar for Best Actress in a Leading Role:

exis [7]

Step-by-step explanation:

The five number summary includes the mean, the median, the mode, the range, and the interquartile range.

1) Mean = The sum of all observations / number of observations.

Mean = (21 + 22 + 22 + 24 + 24 + 24 + 24 + 25 + 26 + 26 + 26 + 26 + 26 + 26 + 26 + 26 + 26 + 27 + 27 + 27 + 27 + 28 + 28 + 28 + 28 + 29 + 29 + 29 + 29 + 29 + 30 + 30 + 30 + 30 + 30 + 30 + 31 + 31 + 31 + 32 + 32 + 33 + 33 + 33 + 33 + 33 + 33 + 33 + 34 + 34 + 34 + 34 + 34 + 35 + 35 + 35 + 35 + 35 + 37 + 37 + 37 + 37 + 38 + 38 + 38 + 39 + 39 + 39 + 41 + 41 + 41 + 41 + 42 + 42 + 44 + 45 + 45 + 45 + 47 + 49 + 49 + 54 + 60 + 60 + 61 + 61 + 61 + 62 + 62 + 74 + 81)/91.

Mean = 3285/91

Mean = 36 (round to the nearest whole number).

2) Median = The central point of the data.

91 divided by 2 gives 45.5, which means 45th number will be the median of this data set. So, Median = 33.

3) Mode = The mostly repeated observation of the data.

Mode = 26 (repeated 9 times).

4) Range = Largest observation - Smallest observation

Range = 81 - 21 = 60.

5) Interquartile Range = Upper Quartile - Lower Quartile.

Upper Quartile is the data point at the 75% position of the data.

Lower Quartile is the data point at the 25% position of the data.

Upper Quartile position = 91*0.75 = 68.25 (68th position).

So that observation is 39.

Lower Quartile position = 91*0.25 = 22.75 (22nd position).

So that observation is 28.

Therefore, interquartile range = 39 - 28 = 11!!!

6 0

3 years ago

6T<br> 5 and the radius is 2 cm? (1 point)<br> What is the arc length if

kicyunya [14]

Answer:

Formulas for Arc Length

The formula to measure the length of the arc is –

Arc Length Formula (if θ is in degrees) s = 2 π r (θ/360°)

Arc Length Formula (if θ is in radians) s = ϴ × r

Arc Length Formula in Integral Form s= ∫ba1+(dydx)2−−−−−−−−s= ∫ba1+(dydx)2−−−−−−−−√dx

3 0

3 years ago