Answer:
x = 2
z = 93°
Step-by-step explanation:
Opposite angles are equal
9x + 69 = 87
9x = 87 - 69
x = 2
A straight line is 180°
180 - 87 = z
z = 93°
a:
The side-side-side (SSS) theorem. It states that, if two triangles have the same side lengths, they are congruent.
b:
You should have three ovals saying:
- AB=A'B' (given)
- AC=A'C' (given)
- BC=B'C' (given)
These three ovals will point to the final oval, containing ABC=A'B'C', justified with "SSS"
c:
In this case, congruence implies similarity, so you don't have to change anything. In general, it is sufficient to prove that the three angles have the same measure to prove similarity, and this is not enough to prove congruence.
Answer:
Option B. AA
Step-by-step explanation:
we know that
Angle-Angle (AA) Similarity Postulate, states that If two angles of one triangle are congruent to two angles of another, then the triangles must be similar
In this problem
<em>In the triangle XYZ</em>
∠X=70°
∠Y=90°
∠Z=90°-70°=20° (remember that angle X and angle Z are complementary)
<em>In the triangle UWV</em>
∠V=20°
∠W=90°
∠U=90°-20°=70° (remember that angle V and angle U are complementary)
therefore
Traingles XYZ and UWV are similar by AA Similarity Postulate
Answer:
D
Step-by-step explanation:
Given
- + 2 > 4 ( subtract 2 from both sides )
- > 2 ( multiply both sides by 14 to clear the fraction )
- x > 28
Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.
x < - 28 → D