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denis-greek [22]
3 years ago
12

Determine the value of x in the diagram below

Mathematics
1 answer:
Simora [160]3 years ago
6 0

Answer:

x =32

Step-by-step explanation:

create equation

180 = 3x + 20 + 2x

combine like terms

180= 3x + 20 + 2x

180=5x + 20

subtract 20 from both sides of the equation

180=5x + 20

180-20= 5x +20 -20

simplify

160= 5x

divided both sides by 5

160/5=5x/5

solution

32= x

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point f has coordinated (8,-1), point g is symmetric to point f with respect to the line y=x, what are the coordinates of point
Alex17521 [72]
If points f and g are symmetric with respect to the line y=x, then the line connecting f and g is perpendicular to y=x, and f and g are equidistant from y=x.

This problem could be solved graphically by graphing y=x and (8,-1).  With a ruler, measure the perpendicular distance from y=x of (8,-1), and then plot point g that distance from y=x in the opposite direction.  Read the coordinates of point g from the graph.

Alternatively, calculate the distance from y=x of (8,-1).  As before, this distance is perpendicular to y=x and is measured along the line y= -x + b, where b is the vertical intercept of this line.  What is b?  y = -x + b must be satisfied by (8,-1):  -1 = -8 + b, or b = 7.  Then the line thru (8,-1) perpendicular to y=x is     y = -x + 7.  Where does this line intersect y = x?

y = x = y = -x + 7, or 2x = 7, or x = 3.5.  Since y=x, the point of intersection of y=x and y= -x + 7 is (3.5, 3.5).

Use the distance formula to determine the distance between (3.5, 3.5) and (8, -1).  This produces the answer to this question.

 
7 0
3 years ago
0.5 + 6.38= 6.9 because 0.5 is precise to the tenth digit, so the answer must also be rounded to the nearest tenth.
mylen [45]

Answer:

False

Step-by-step explanation:

0.5 + 6.38= 6.88

In general you'd round your answer to the greatest level of precision used in the question, not the least.

5 0
3 years ago
The show has a large display board where visitors are encouraged to pin up their own instant camera pictures, taken during the e
mote1985 [20]

Answer:

<h2>1,800 pictures</h2>

Step-by-step explanation:

Find the diagram attached below with its dimension.

The board is rectangular in nature with dimension of 3.6 m by 1.8 m wall.

Area of a rectangle = Length * Breadth

Area of the board = 3.6 m * 1.8 m

since 1m -= 100cm

Area of the board = 360cm * 180cm

Area of the board = 64,800cm²

If the dimension of a picture on the wall is 6cm * 6cm, the area of one picture fir on the wall = 6cm* 6cm = 36cm²

In order to know the amount of 6cm* 6cm pictures that will fit on the wall, we will divide the area of the board by the area of one picture as shown;

Number of 6cm by 6cm pictures that  could fit on the wall

= 64, 800cm²/36cm²

= 1,800 pictures

6 0
2 years ago
Can someone please help me?
nataly862011 [7]

Answer:

Step-by-step explanation:

7⁴/ 7⁶ = 1/ 7⁶⁻⁴  = 1/7²  = 1 /49 = 0.02

6 0
3 years ago
Read 2 more answers
A certain ferry moves up and down a river between Town A and B. It takes the ferry two hours to travel to Town A and only an hou
Y_Kistochka [10]

Answer:

The distance between two cities is <em>60 miles.</em>

Step-by-step explanation:

Time taken to travel from B to A = 2 hours

Time taken to travel from A to B = 1.5 hours

Current speed = 5 mph

Let the speed of ferry in still water = <em>u</em> mph

When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).

Let the distance between the two cities A and B = D miles

While moving with the current, speed = (u+5)\ mph

While moving against the current, speed = (u-5)\ mph

Formula for Distance = Speed \times Time

Distance traveled in each case is same i.e. D.

So,

D = (u+5) \times 1.5 = (u-5) \times 2\\\Rightarrow 1.5u+7.5=2u-10\\\Rightarrow 0.5u =17.5\\\Rightarrow u = \dfrac{175}{5}\\\Rightarrow u = 35 \ mph

Now,

D = (u+5) \times 1.5\\\Rightarrow D =(35+5) \times 1.5\\\Rightarrow D =(40) \times 1.5\\\Rightarrow \bold{D =60\ miles}

So, the distance between two cities is <em>60 miles.</em>

6 0
3 years ago
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