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babymother [125]
3 years ago
7

Using polygon STUVW what is m angle U ?

Mathematics
1 answer:
bija089 [108]3 years ago
4 0

Answer:

The m∠ U is 72°.

Step-by-step explanation:

Given:

\angle S = 90\\\angle T = 2x\\\angle U = x\\\angle V = 2x\\\angle W = 90\\

To find :

\angle U = x = ?

Solution:

The sum of the measures of the interior angles of a polygon with 'n' sides is given as

\textrm{sum of the measures of angle of a polygon with 'n' sides} = (n - 1)\times 180

Here we have n = 5 on substituting the values we get

\angle S +\angle T + \angle U +\angle V + \angle W = (5 -2)\times 180\\90 + 2x + x + 2x + 90 = 3\times 180\\5x + 180 = 540\\5x = 540-180\\5x = 360\\x = \frac{360}{5}\\x = 72

Therefore,

m∠ U is 72°.

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Z varies directly as x^3 and inversely as y^3. if z=59 when x=8 and y=8, find Z if x=3 and y=4
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z=\dfrac{kx^3}{y^3}\\\\\\59=\dfrac{k\cdot 8^3}{8^3}\\k=59\\\\\\z=\dfrac{59x^3}{y^3}\\\\\\z=\dfrac{59\cdot 3^3}{4^3}=\dfrac{1593}{64}

8 0
2 years ago
For a function p(x), as |x|—> infinity then p(x)—> 3. Which of the following graphs could be p(x)?
VladimirAG [237]

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D

Step-by-step explanation:

A pe x the answer is d

7 0
3 years ago
an umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,an
mars1129 [50]

Answer:

Step-by-step explanation:

first we need to calculate the area of isosceles triangle having sides 48cm, 48cm and 30cm

a = 48

b= 30

Area of isosceles triangle using only sides = ½[√(a^2 − b^2 /4) × b]

= 1/2*30√( 48² - 1/4×30²)

=1/2*30√ (2304 -225)

=684sq cm

cost required to make umbrella= 10*684*5

= 3<em>4200</em>

7 0
3 years ago
What is the difference between polygons and quadrilaterals?​
julia-pushkina [17]

A polygon cannot have curved sides. Examples of polygons include a triangle, square, rectangle, or any unnamed shape that is closed in, and has straight sides. ... A quadrilateral is a special kind of polygon that has exactly four sides that are all line segments.

...

8 0
3 years ago
Correct I’ll give brainlist no links or I’ll report
Gwar [14]

Alright, to start, slope-intercept form is y=mx+b, where m is the rate is it going up/down by, and b is the starting point.

With this, the question says that Coraz started with 0 naxvips then purchased 10 each month afterwards.

From this, we can fill in the equation, using m as the rate it is going up/down and b as the starting point:

<h3>The Equation: </h3>

y=10x+0

Next, it wants a table, so let's use the equation created to do this. X is the amount of months that have gone by, deciding how many naxvips Coraz has purchased.

So, to start, lets plug in 0 months into the equation into x:

y=10(0)+0

y=0+0

y=0

The answer resulted in 0 for month 0, understandably. Month 0 was when it said Coraz had 0 naxvips on his farms. With this, it would be (0,0) for this part.

For the next month, same thing, just plug it in:

y=10(1)+0

y=10+0

y=10

The answer resulted in 10 for month 1. Month 1 was when it said Coraz purchased his first batch of 10 naxvips. With this, it would be (1,10) for this part.

Again, with 2 months

y=10(2)+0

y=10+0

y=20

The answer resulted in 20 for month 2. Month 2 was when he got another 10 naxvips. With this, it would be (2,10) for this part. However, see the pattern? For every month, there will be 10 more naxvips added. With this, we can write out the table for it as well:

<h3>The Table:</h3>

(X, Y)

0, 0

1, 10

2, 20

3, 30

4, 40

etc..

5 0
2 years ago
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