Please help me with the questions please ASAP

x = 9/2 or 4.5

Step-by-step explanation:

In order to solve this problem, you first need to identify whether or not the two triangles formed in the image are similar; you can tell that they are similar by the AAA property because they share a vertex, and the other two angles are congruent because of the Corresponding Angles Theorem. Now that you know the triangles are similar, you need to identify the corresponding sides:

x + 6 corresponds to x

21 corresponds to 9 (21 because 30 - 9 = 21)

You can find the scale factor by dividing 21 by 9:

21 ÷ 9 = 7/3

Now that you know the scale factor, you can write and solve an equation:

7/3x = x + 6 (given)

4/3x = 6 (subtract x from both sides)

x = 9/2 (multiply both sides by 3/4)

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?