All categories

3 years ago

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

Mathematics

1 answer:

zepelin [54]3 years ago

4 0

see the attached figure with letter to better understand the problem

we know that

If triangle ABC is similar to triangle PQR

then

the ratio of the corresponding sides are proportional

substitute the values

therefore

the answer is the option C

You might be interested in

Y = 4x+1 y=x^2 + 2x - 2 A.6,2 B. 2,6 C. -6,2 D. -6,-2

natta225 [31]

Answer:

The solution is (3,13) and (-1,-3). So none of the mentioned options is correct.

Step-by-step explanation:

Given that

$y = 4x + 1 (i)$

$y = x^2 + 2x -2 (ii)$

Now, by susbstituting the value of 'y' from equation i to equation ii, we get

$4x+1=x^2 + 2x -2$

$0=x^2 + 2x -2-4x-1$

$0=x^2 + (2x -4x) +(-2-1)$

$0=x^2 + (-2x) +(-3)$

$0=x^2 -2x -3$

$x^2 -2x -3 = 0 (iii)$

Now by factorization, equation iii can be written as

$x^2 -3x +x -3 = 0$

$x(x -3) + 1(x -3) = 0$

$(x -3)(x +1) = 0$

x = 3 and x = -1

By putting the values of x in equation i, we get

y = 4(3) + 1

y = 12 +1

y = 13

and

y = 4(-1) + 1

y = -4 +1

y = -3

Therefore, the solution is (3,13) and (-1,-3). So none of the mentioned options is correct.

7 0

3 years ago

2(x+2)-5=3(x+1)

Eva8 [605]

Answer:

$\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}$

$2(x + 2) - 5 = 3(x + 1) \\ 2x + 4 - 5 = 3x + 3 \\ 2x - 1 = 3x + 3 \\ - 1 - 3 = 3x - 2x \\ - 4 = x$

5 0

2 years ago

Read 2 more answers

What is the equation of the line through (4, -3) and (0, -2)?

krek1111 [17]

Answer:y=-1/4x-2

Step-by-step explanation:

8 0

3 years ago

Paula runs a bakery. She estimates that her weekly cost of rent and electricity is $250. The ingredients to bake one cake cost $

viktelen [127]

Y+(X x 4)= 250.

Am not sure of this answer thou.

7 0

3 years ago

Sarah, amy and liam stand on some weighing scales two at a time.here are the measurements:sarah and amy 70kgsarah and liam 80kgl

OLga [1]

A+s=70, s+l=80, l+a=80

from the first s=70-a which makes the second:

70-a+l=80

-a+l=10

a=l-10 which makes the third:

l+l-10=80

2l-10=80

2l=90

l=45

So Liam weighs 45 kg.

5 0

3 years ago