Answer:
60°,60° and 60°.
Step-by-step explanation:
The sum of the interior angle of a triangle
=180°
So, let us test measured sets to get which of them could be the interior angles of a triangle.
The sum of the first measured set
= 90° + 42° + 58°
=190°
Also, the sum of the second measured set
= 60°+ 60° + 60°
=180°
The sum of the third measured set,
= 100°+ 48° + 43°
=191°
Finally, the sum of the fourth measured set
= 31° + 75°+ 70°
=176°
We can clearly conclude that, the measured set 60°,60°and 60° could only be the the set of interior angles of a triangle. Since it is the only set that add up to 180°
Answer:
60
Step-by-step explanation:
When reflecting a point across the x-axis, you multiply the y coordinate by -1 (you flip the sign), so (-8,-3) would turn into (-8,3).
When reflecting a point across the y-axis, you multiply the x coordinate by -1 (flip the sign), so (-8, -3) becomes (8, -3)
Answer:
option B) ΔABE ∼ ΔADC
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
If two triangles are similar, then its corresponding sides are proportional and its corresponding angles are congruent
In this problem
Triangles ABE and ADC are similar by AA Similarity Theorem
because
m∠ ABE≅m∠ADC
m∠ BAE≅m∠DAC
The corresponding sides are
AB and AD
BE and DC
AE and AC
so
Answer:
Area segment = 3/2 π - (9/4)√3 units²
Step-by-step explanation:
∵ The hexagon is regular, then it is formed by 6 equilateral Δ
∵ Area segment = area sector - area Δ
∵ Area sector = (Ф/360) × πr²
∵ Ф = 60° ⇒ central angle of the sector
∵ r = 3
∴ Area sector = (60/360) × (3)² × π = 3/2 π
∵ Area equilateral Δ = 1/4 s²√3
∵ The length of the side of the Δ = 3
∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3
∴ Area segment = 3/2 π - (9/4)√3 units²
