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myrzilka [38]
2 years ago
6

Help pls!! Find the value of x and y

Mathematics
2 answers:
kotegsom [21]2 years ago
7 0
It is a parallelogram, so opposite angles are congruent.
4x = 100°
x = 25°

Sum of angles in a parallelogram is 360°.
360°-100°-100° = 160°
y = 160°/2 = 80°

andrew-mc [135]2 years ago
3 0

Answer:

x = 25 degrees

y = 80 degrees

Step-by-step explanation:

Since this is a parallelogram, opposite angles are congruent.  So, 4x = 100 or x = 25.  Consecutive angles are supplementary, so y + 100 = 180 or y = 80

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What is the surface area of the right prism given below?
posledela

Answer: Option D.

Step-by-step explanation:

You can calculate the surface area of this right prism by adding the area of its faces.

You can observe that the faces of the right prism are:  Three different rectangles and two equal triangles.

The formula for calculate the  area of a rectangle is:

A=lw

 Where "l" is the lenght and "w" is the width.

The formula for calculate the  area of a triangle is:

A=\frac{bh}{2}

Where "b" is the base and "h" is the height.

You can observe that the hypotenuse of the each triangle is the width of one of the larger rectangle, then , you can find its value with the Pythagorean Theorem:

a=\sqrt{b^2+c^2}

Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.

Then, this is:

a=\sqrt{(8units)^2+(15units)^2}=17units

Therefore, you can add the areas of the faces to find the surface area of the right prism (Since the triangles are equal, you can multiply the area of one of them by 2). This is:

SA=(10units)(8units)+(15units)(10units)+(17units)(10units)+2(\frac{(15units)(8units)}{2})\\\\SA=520units^2

5 0
3 years ago
Read 2 more answers
At a​ school, 102 students play at least one sport. This is 40​% of the students at the school. How many students are at the​ sc
viktelen [127]
To get from 40% to 100%, divide by 2 and multiply by 5.
I.e. 40/2 = 20
20 x 5 = 100%

Do the exact same for 102
102/2 = 51
51 x 5 = 255 students
5 0
3 years ago
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The compressive strength of concrete is normally distributed with mu = 2500 psi and sigma = 50 psi. A random sample of n = 8 spe
ipn [44]

Answer:

The standard error of the sample mean is _17.677_ psi.

Step-by-step explanation:

<u>Explanation</u>:-

A random sample of n = 8 specimens is collected.

Given sample size is n = 8

Given mean of the population 'μ' = 2500 psi

standard deviation 'σ' = 50 psi

Let x⁻ is the mean of the observed sample

Standard error of the sample mean = \frac{S.D}{\sqrt{n} }      ...(i)

Given Population of standard error (S.D) 'σ' = 50 psi

Now substitute all values in (i)

S.E = \frac{50}{\sqrt{8} } =17.677

<u>Conclusion</u>:-

The standard error of the sample mean is _17.677psi.

7 0
3 years ago
Https://prnt.sc/1u977tf
ZanzabumX [31]

Answer:

please mark me branlist

4 0
2 years ago
Whats the area?????????????
liraira [26]

Answer:

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Step-by-step explanation:

8 0
2 years ago
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