1) The triangles are congruent by SSS.
The two tick marks indicate two pairs of congruent sides; it is evident that the third side is congruent by the way the diagram is drawn - the bases of the triangles are together and appear to be the same length.
2) The triangles are congruent by SAS.
The two pairs of tick marks indicate congruent sides, and their included angles are congruent because they are vertical angles, and vertical angles are always congruent.
Answer:
Common ratio = -8
Step-by-step explanation:
Answer:
The scale factor is -1/4.
Step-by-step explanation:
Answer:
The perimeter is 7 dm
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Let
c------> the length of the third side
case a)
1+c>3
c>2 dm
case b)
1+3> c
4 > c
rewrite
c<4 dm
The solution for c is the interval------> (2,4)
therefore
the value of c must be equal to
c=3 dm (because is an integer)
The perimeter is equal to
P=1+3+3=7 dm
Answer:
<h2>x = 6</h2>
Step-by-step explanation:
Multiply through by 2
That's
<u>Expand</u>
That's
5x + 4 + 4x = 58
9x = 58 - 4
9x = 54
Divide both sides by 9
That's
We have the final answer as
<h3>x = 6</h3>
Hope this helps you
