Answer:
x=5
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
9 15
------ = ----------
2x-1 3x
Using cross products
9*3x = 15(2x-1)
27x = 30x-15
Subtract 30x from each side
27x-30x = 30x-30x -15
-3x = -15
Divide by -3
-3x/-3 = -15x/-3
x = 5
0.77875...
which, I'm assuming, they want you to round to the nearest hundredth? So, .78?...
Answer: D) vertical angles theorem, alternate interior angles theorem
Angle 5 = Angle 6 by the alternate interior angles theorem
Angle 5 = angle 4 by the vertical angles theorem
By the transitive property, we can then say angle 4 = angle 6. These angles are also corresponding angles.
We won't use the angle addition theorem or the right angles theorem.
5+y+z I think x Something like that.
Answer:
SAS means "Side, Angle, Side"
ASA means "Angle , Side, Angle"
AAS means "Angle, Angle, Side"
HL stangs for "Hypotenuse, Length"
Step-by-step explanation:
SAS is when we have two sides meeting and forming an angle between them.
ASA is when we know two angles and a side between the angles.
AAS is when we know two angles and a side which is not between the angles.
HL means that: two triangles are congruent if the hypotenuse of one triangle is equal to the hypotenuse of the other and if one leg of a triangle is equal to a leg of another triangle.
*Note: The pictures are attached here below.
