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NemiM [27]
3 years ago
15

What is the measure of angle z in this figure?

Mathematics
1 answer:
astraxan [27]3 years ago
3 0
Hello!

I've attached a photo for reference.

Lines A and B form straight angles, which  measure 180 degrees. That means that - 

m∠x + m∠y = 180°
m∠y + m∠z = 180°
m∠z + 43° = 180°
43° + m∠x = 180°

Since you're trying to find z, use the solvable equation with z in it:

m∠z + 43° = 180°
180 = z + 43
137 = z

Answer:
m∠z = 137°

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Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school he puts m mechanical pe
Mashcka [7]

Answer:

The total number of pencils is 6

Step-by-step explanation:

According to the given scenario, the computation of the total number of pencils is as follows:

There are 18 students

And let us assume there is m mechanical pencils that put in each bag

also he put twice of the regular pencil

So if he put the 3 mechanical pencil

So, the total number of pencils is

= 3 × 2

= 6

As it twice of the regular pencil

hence, the  total number of pencils is 6

5 0
2 years ago
Match the angles that are greater than 90° with their reference angles.
storchak [24]
For angles in first quadrant, the reference angle is itself. In second quadrant, the equation would be 180 - x where x is the measure of the angle. In third quadrant, x - 180. Lastly, in the fourth quadrant, the reference angle is 360 - x. From the second set of angles in the given, the reference angles are.
              (1) 135 ; RA = 180 - 135 = 45
              (2) 240; RA = 240 - 180 = 60
              (3) 270; RA = 90 (lies in the y - axis)
              (4) 330; RA = 360 - 330 = 30
7 0
3 years ago
The convex polygon below has 8 sides. Find the value of x ?
bulgar [2K]

The missing interior angle, x, of the convex polygon is 168⁰.

<h3>Sum of interior angles of convex polygon</h3>

The sum of interior angles of a convex polygon is calculated as follows;

S = (n - 2) 180

S = (8 - 2) 180

S = (6) 180

S = 1080

The missing interior angle, x, is calculated as follows;

x + 126 + 146 + 130 + 140 + 146 + 134 + 90 = 1080

x + 912 = 1080

x = 1080 - 912

x = 168⁰

Learn more about interior angles of polygon here: brainly.com/question/24966296

5 0
2 years ago
A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7 ft b
____ [38]

Given:

Dimensions are 7 ft by 5 ft by 8.5 ft

Contents weigh 0.21 pound

Contents worth $8.80 per pound

Find-: value of container contents.

Sol:

Volume is:

\begin{gathered} Volume\text{ = }7\times5\times8.5 \\  \\ =297.5 \end{gathered}

The formula of density is:

\text{ Density =}\frac{\text{  Mass}}{\text{ Volume}}

So,

\begin{gathered} 0.21=\frac{\text{ Weight  of contents in container}}{\text{ Volume of container}} \\  \\ 0.21=\frac{\text{ Weight}}{297.5} \\  \\ 0.21\times297.5=\text{ Weight} \\  \\ \text{ Weight of contents in container = }62.475\text{ Pound} \end{gathered}

Now $8.80 per pound

For 62.475 pounds the value is:

\begin{gathered} =62.475\times8.80 \\  \\ =549.78 \end{gathered}

So the value of the container contents is 549.78

7 0
1 year ago
Please Help!!!
myrzilka [38]

Answer:

A. principal interviewed the 25 students who scored highest on a reading test.

D. For a report on the exercise habits of adults, Sergio talked to 30 adults at a local fitness center.

E. Josh asked the first 25 people he met at the dog park if they preferred dogs or cats.

Step-by-step explanation:

Biased means if the selection of every unit does not have an equal chance of being selected in a sample.

The sample is said to be good if choosing the unit is unbiased. The sample is said to be unbiased if the selection of each unit is independent.

Option A is an example of data selected in a biased way because principal chose only those student who scored the highest marks on reading test.

Options B and C are unbiased as here a selection of each number and name of the student has an equal chance of being selected.

Option D is biased because Sergio talked adults at a local fitness center where people go for maintaining their health. So, there is a chance of the selection of fitted adults more than unfitted adults.

Option E is biased because Josh met people at the dog park where dog lovers are more than a cat lover.

7 0
3 years ago
Read 2 more answers
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