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svetlana [45]
3 years ago
5

What theorem can be used to prove the 2 triangles similar?

Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

Answer:

C. SSS

Step-by-step explanation:

\frac{AB}{SQ} = \frac{AC}{SR} = \frac{BC}{QR} = 2

Thus, the ratio of the corresponding side lengths of both triangles are equal. This implies that all three corresponding side lengths of both triangles are proportional to each other.

Consequently, based on the SSS Criterion, we can conclude that both triangles are similar to each other.

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Which statement explains how the lines 2x + y = 4 and y = one halfx + 4 are related?
KatRina [158]

Answer:

They are perpendicular

Step-by-step explanation:

To solve this problem .

we will convert the equations in slope intercept form.

Slope intercept  form of equation is y = mx+c

where m is slope of line and c is y intercept.

________________________________

equation 1 is

2x+y = 4

=> y =4 - 2x or y = -2x + 4

comparing it with y = mx + c

m = -2  , c = 4

_________________________________________

equation 2 is y = one halfx + 4 ( one half is same as 1/2)

so equation is

y = x/2 +4

comparing it with y = mx + c

m = 1/2  , c = 4

_________________________________________

Now lets evaluate options

They are parallel.  wrong option

For lines to be parallel slope should be same.

But here slope are different -2 and 1/2 .

Thus lines are not parallel.

__________________________________________

They are perpendicular.  correct option

For lines to be perpendicular, product of slope should be equal to -1.

-2*1/2 = -1

we can see that product of slope should be equal to -1 .

Thus lines are  perpendicular

______________________________________

They are the same line.  wrong option

For lines to be same both slope and y intercept should  be same.

Y intercept is same but the slopes are different -2 and 1/2  .

Thus lines are not  the same line.

__________________________________________

They are not related.       wrong option

As we have found that the lines are perpendicular .

So this option is intuitively wrong

4 0
3 years ago
Find the value of x in the triangle... Then classify the triangle as acute, right or obtuse
ddd [48]

Answer:

x = 44

right

Step-by-step explanation:

The sum of the angles in a triangle add to 180

90+ 46+x = 180

Combine like terms

136+x = 180

Subtract 136 from each side

136+x-136=180-136

x =44

Since we have a 90 degree angle it is a right triangle

4 0
3 years ago
Where do the graphs of the linear equation y=2x+5 and y=-2x-3 intersect?
Aleksandr [31]
It graphs in the y=2x-3 so I say it’s d bc it is in the answer up above
6 0
3 years ago
What is unique about a number that a perfect square
Alexandra [31]
A square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 × 3
7 0
3 years ago
What is 12ft x 10ft x 8ft x 6ft
Ronch [10]
The answer is 5760 feet when you multiply <span>12ft x 10ft x 8ft x 6ft</span>
7 0
3 years ago
Read 2 more answers
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