The sides of two triangles are 6, 9, 12 inches and 2.5, 3.75, and 5 inches respectively. are the triangles similar ? explain your reasoning.

Triangles must be similar

Step-by-step explanation:

We are given two triangles

First triangle:

sides are 6 , 9 , 12

Second triangle:

2.5, 3.75 , 5

We know that if two triangles are similar , then their ratio of sides must be equal

so, we will find ratio of side of each corresponding sides

and then we check whether they are equal

we get

now, we can find each ratios and check whether they are equal

we can see that

all values are equal and same

so, the ratio of their sides are equal

Hence , triangles must be similar

Yes, the triangles are similar because the ratio of the length of corresponding sides are equal

Step-by-step explanation:

If the two figures have same shape, they are called similar.

When two figure are similar , then the ratio of the length of their corresponding sides are equal.

Given: the sides of two triangles are 6, 9, 12 inches and 2.5, 3.75 and 5 inches.

then;

⇒

by definition of similar, we have;

the given triangles are similar.

you never say the total so we cant find the percentage used for petrol

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is