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2 years ago

given triangle UVW is congruent to triangle TSR find the values of x (12x-7), y (5y-33), and z (3z+14)

Mathematics

1 answer:

timama [110]2 years ago

3 0

Answer:

Step-by-step explanation:

Find the image attached. For two triangles to be congruent, then the sides of UVW is equal to that of TSR

From the diagram given

TR = UW

Given

TR = 50

UW = 3z+14

Equate and find z;

3z+14 = 50

3z = 50-14

3z = 36

z = 36/3

z = 12

VW = RS

Given

VW = 27

RS = 5y - 33

Equate

5y-33 = 27

5y = 27+33

5y = 60

y = 60/5

y = 12

Also TS = UV

TS = 53

UV = 12x+7

Equate:

12x-7 = 53

12x = 53+7

12x = 60

x = 60/12

x = 5

Hence x = 5, y = 12 and z = 12

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Sheila can ride her bicycle 6000 meters in 15 minutes. How far can she ride in 2 minutes?

iren [92.7K]

<span>Sheila can ride her bicycle 6000 meters in 15 minutes.
Forming that into a ratio, that will be 6000 : 15

Doing the proportion for 2 minutes.
6000 : 15 = X : 2

Doing the computation.
6000 / 15 = X / 2
15X = 2 * 6000
15X = 12000
X = 800

So Sheila covered a total of 800 meters in 2 minutes.</span>

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2 years ago

The points (–5, 6) and (5, 6) are vertices of a hexagon. The line segment joining the two points forms one of the sides of the h

xxTIMURxx [149]

The information about the points being vertices that make up a line to represent the side of a hexagon is irrelevant, as we are only looking for the distance of a line based on their x and y coordinates.

Look at the point's x and y coordinates:

First point:

x = -5, y = 6

Second point:

x = 5, y = 6

You'll notice that the y-coordinate for both points is the same (6 = 6). This means that the segment created by the points will be horizontal, since there is only movement on the x-axis if you trace the segment from point to point.

To find the distance between the two points, we'll only need to subtract the first point's x-coordinate from the second:

5 - (-5) = 5 + 5 = 10

The answer will be the following statement:

Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.

5 0

3 years ago

Read 2 more answers

The distance between the points (-3,-1) and (-4,0) is the square root of ___?

Galina-37 [17]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -3}}\quad ,&{{ -1}})\quad 
% (c,d)
&({{ -4}}\quad ,&{{0}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}$

6 0

3 years ago

If the graph of f(x) = x2, how will the graph be affected if it is changed to f(x) = 1/3x^2

Alchen [17]

Answer:

A. It would be wider

Step-by-step explanation:

because... going up one and over one is much more steep then going up 1 over 3

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3 0

1 year ago

On a certain hot summer's day, 643 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for

lilavasa [31]

249 children and 394 adults swam at the public pool.

Step-by-step explanation:

Number of people swam at pool = 643

Receipts = $1161.50

Cost for one child = $1.50

Cost for one adult = $2.00

Let,

x be the number of children

y be the number of adults

According to given statement;

x+y=643 Eqn 1

1.50x+2.00y = 1161.50 Eqn 2

Multiplying Eqn 1 by 2

$2(x+y=643)\\2x+2y=1286\ \ \ Eqn\ 3\\$

Subtracting Eqn 2 from Eqn 3

$(2x+2y)-(1.50x+2.00y)=1286-1161.50\\2x+2y-1.50x-2.00y=124.50\\0.5x=124.50$

Dividing both sides by 0.5

$\frac{0.5x}{0.5}=\frac{124.50}{0.5}\\x=249$

Putting x=249 in Eqn 1

$249+y=643\\y=643-249\\y=394$

249 children and 394 adults swam at the public pool.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

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2 years ago