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prisoha [69]
3 years ago
8

What similarity statement can you write relating the three triangles in the diagram?

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0
From the diagram, ΔRST, ΔRUS and ΔSUT are right triangles. This means that the corresponding legs of the three triangles are proportional, then we can say that the triangles are similar by side-angle-side similarity.
RS/RU=RU/SU
In the figure we can also notice that the acute angles of the corresponding angles are similar, then by angle-angle similarity the triangles are similar.
∠TRS~∠URS~TSU
This implies that: ΔSUT~ΔSRU~ΔRTS

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A boat travelled 336 km downstream with the current. The trip downstream took 12 hours.
miskamm [114]

Answer:

We know the distance (d) equation in terms of rate (r) and time (t) as:

d=rt

Step-by-step explanation:

We have given d=336 km and t= 12 hours, so we have: 336 km = 12t <-- this is our equation.

Divide each side by 12 to solve for t:

12t/12=336/12

t= 28 km/ hour

5 0
3 years ago
Triangle ABC is congruent to triangle XYZ. Angel A measures 50 degrees. Angle B measures (2x+40) and angle Y (4x+8). Find the va
ollegr [7]
Proportionally?  Not sure.  But here is a way to find out the value of x

50° + 2x+40 +4x+8 = 180°
Combine like terms
50°+ 6x + 48=180
  (now subtract 50° from both sides)
6x + 48 = 130°
(now subtract 48 from both sides
6x=82°  
x= 13.6666667° (repeating decimal)
4 0
3 years ago
Determine the equation of the graph with the coordinates of (4, -1)
Anon25 [30]

Answer:

The required equation of the graph with the coordinates of (4, -1) will be:

  • y=\left(x-4\right)^2-1

The graph is also attached.

Step-by-step explanation:

Given the coordinates (4, -1)

If we put the coordinate values (4, -1) in the given equations, we determine that only y=\left(x-4\right)^2-1 is the valid equation as it satisfies the given coordinate value.

For example, putting  (4, -1) in the equation

y=\left(x-4\right)^2-1

\left(-1\right)=\left(4-4\right)^2-1

-1=\left(0\right)^2-1

-1=0-1

-1=-1

So, the equation y=\left(x-4\right)^2-1 is true for the coordinate values (4, -1).

Therefore, the required equation of the graph with the coordinates of (4, -1) will be:

  • y=\left(x-4\right)^2-1

Please check, the graph is also attached.

3 0
3 years ago
Can You Guys Please Help???
Bezzdna [24]

Answer:


Step-by-step explanation:

The answer is c.


Proportional means a relationship of y = a constant multiplied by x


In this case, the constant is 7.


i.e. y = 7x


So if


x is 3, y is 21


x is 5, y is 35


x is 7, y is 49


and so on...


And there you have it.


8 0
3 years ago
What do I have to do
hichkok12 [17]

Answer:

+15

-721

0

+462

-1200

The positives are because it said 'above sea level', the negatives because it said 'below sea level' and zero because it said 'sea level'.

3 0
3 years ago
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