They are not equivalent because 2/5 is equal to .4.
Answer:
Option 1
Similar triangles have proportional sides.
This means that the sides of ΔABC must have the same ratio to the sides of ΔSTR, ΔLKJ, or ΔDEF.
The base angle of ΔABC is 6 and therefore the base angle of the similar triangle should be divisible by 6. This leaves ΔSTR out
Continue the process with the other sides:
side BC is 4 units meaning the corresponding side of either ΔDEF or ΔLJK with have to be divisible by 4. in JKL the corresponding side KL is 9 units and not divisible by 4. Therefore, DEF is the correct answer since its corresponding sides are proportional
Step-by-step explanation:
Answer:
x = 3
x = -1
Step-by-step explanation:
First you wanna assume that y is 0: 0
- 2x - 3
now factor the right side like any other problem:
we know that we automatically have (x _ ?)(x_?), because there is an x squared
now we need to find a number that multiplies to -3 and adds up to -2
if take positive 1 and -3, we multiply it to get -3, and when you add the two numbers, you get -2
so now we can fill (x _ ?)(x_?), and turn it into (x - 3)(x + 1)
now we will take each parenthesis part and separate it and solve them for x individually:
(x - 3) = 0
x = 3
(x + 1) = 0
x = -1
so now we have our x intercepts
Answer:
x < 2.5
Step-by-step explanation:
4 − 10x > −21
Subtract 4 from each side
4 -4− 10x > −21-4
-10x > -25
Divide by -10 on each side remembering to flip the inequality
-10x/-10 < -25/-10
x < 2.5