3x + 6 + 4 = 6 × 2 + 10
3x + 6 + 4 = 12 + 10
3x + 10 = 12 + 10
3x + 10 = 22
3x = 22 - 10
3x = 12
x = 12/3
x = 4
The answer is: x = 4.
Answer:
Step-by-step explanation:
Givens
The triangle is equilateral. Given
<K = < M = 60 Property of an equilateral triangle.
IE = IE Reflexive property
Proof
- <IEK = <IEM = 90 Property of perpendicular
- <EIK = 180 - 60 - 90 All triangles have 180 degrees
- <EIK = 30 Subtraction
- <MIK = 180 - 60 - 90 All triangles have 180 degrees
- <MIK = 30 Subtraction
- <MIE = <KIE Both = 30 degrees
- IE = IE Reflexive property
- <IEK = <MEI Both are right angles.
- ΔMIK ≡ΔKIE ASA
3/6 = 6/12 15/30
5/6 = 25/30 10/12
6/10 = 12/20 24/40
1/2 = 4/8 5/10
Answer:
-2<x<3
or x∈(-2,3)
Step-by-step explanation:
x²-5x<-6
add (-5/2)² i.e.,25/4
x²-5x+25/4<-6+25/4
(x-5/2)²<(-24+25)/4
(x-5/2)²<1/4
(x-5/2)²<(1/2)²
|x-5/2|<1/2
-1/2<x-5/2<1/2
Add 5/2
-1/2+5/2<x-5/2+5/2<1/2+5/2
-2<x<3
