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katrin2010 [14]
3 years ago
7

If m<VST = (5x + 23) and m<VUT =(8x - 49), find m<SVT​

Mathematics
2 answers:
tamaranim1 [39]3 years ago
8 0

Answer:17

Step-by-step explanation:

gogolik [260]3 years ago
4 0

Answer:

<h2>37°</h2>

Step-by-step explanation:

We know that \angle VST and \angle VUT are opposite angles in a quadrilateral.

If we assume that the quadrilateral is a parallelogram, then those angles are equal, so

\angle VST = \angle VUT\\5x+23=8x-49

Then, we solve for x

23+49=8x-5x\\3x=72\\x=\frac{72}{3}\\ x=24

Now, we use this value to find VST angle

\angle VST=5x+23=5(24)+23=143\°

On the other hand, the sum of all four internal angles can be expressed as

2(\angle VST)+2(\angle SVT)=360\°

Solving for SVT

2(143)+2(\angle SVT)=360\°\\\angle SVT = \frac{360\° - 286\°}{2}=37\°

Therefore, the answer is 37°.

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Using proportions, it is found that Donald should order 4 of the 0.05 gram tablets.

  • This question is solved by proportions, using a <em>rule of three</em>.
  • 4 tablets are needed, and they should combine for 0.2 grams. How many grams is there going to be on one tablet?

The <em>rule of three</em> is:

1 tablet - x grams

4 tablets - 0.2 grams

Applying cross multiplication:

4x = 0.2

x = \frac{0.2}{4}

x = 0.05

Donald should order 4 of the 0.05 gram tablets.

For more on proportions, you can check brainly.com/question/24372153

7 0
2 years ago
Hamish and hairy work as plumbers. Harry earns a dollar more than 5/4 The amount Hamish orange per hour. The amount Harry earns
Mnenie [13.5K]

Answer:

Harry earns 26 and Hamish earns 20

Step-by-step explanation:

The computation of the amount earned by each one of them is shown below:

Let us assume the hairy be Y

And, the Hamish be M

It is given that Harry earns a dollar i.e more than 5/4

And, it is $2 less than  7/5

So, the equation would be

y = 1.25m + 1  ...........................(i)

And,

y= 1.4m -2  .............................(ii)

Now equal both the equations

1.25m + 1 = 1.4m - 2

3 = 0.15m

So, m = 20

Now put the values of m in any of the above equation to find out the value of Y

Y = 1.25m + 1

= 1.25 (20) + 1

= 26

6 0
3 years ago
Is the relation a function?
mario62 [17]

Yes it is because none of the x are the same number making it a function.

6 0
3 years ago
Find the value. X3-4 when x=-3?? PLEASE HELP !!!! ASAP!!!!
Mariulka [41]

Answer:

The other person is correct, my bad I got mixed up with the numbers

5 0
3 years ago
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Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine
NikAS [45]

Answer:

Using Geometry to answer the question would be the simplest:

Step-by-step explanation:

Remembering the formula for the area of a triangle which is A=\frac12bh. One can then tackle the question by doing the following:

Step 1 Find the y-intercepts

The y-intercepts are found by substituting in x=0.

Which gives you this when you plug it into both equations:

-y=1\\y=-1\\y=8

So the y-intercepts for the graphs are (0,-1)\\, and (0,8) respectively.

Now one has to use elimination to solve the problems by adding up the equations we get:

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Now to solve for the y component substitute:

2(3)+y=8\\y=2

Therefore, the graphs intersect at the following:

(3,2)

Now we have our triangle which is accompanied by the graph.

now to solve it we must figure out how long the base is:

b=8-(-1)\\b=9

The height must also be accounted for which is the following:

h=3

Now the formula can be used:

A=\frac12bh=\frac12(9)(3)=\frac{27}2\ \text{units}^2

7 0
3 years ago
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