Answer:
i. Rotate
ii. Translates
Step-by-step explanation:
Rigid transformations are the methods required in which the orientation, dimension, position, or size of a given figure can be transformed. Some types of rigid transformation are: rotation, translation, reflection, etc.
From the given question, the two rigid transformation procedure required for Madison to prove that ΔABD ≅ ΔCDB by rigid transformations are: rotation and translation.
Madison decides to rotate ΔABD
about point B to create triangle A'B'D'. Next she translates A'B'D' along diagonal BD until point B' from ΔA'B'D' lines up with point d from ΔCDB.
Therefore,
ΔABD ≅ ΔCDB
Answer:
x ≈ 14.30
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
- sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define variables</u>
∅ = 39°
opposite leg = 9
hypotenuse = x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: sin39° = 9/x
- Multiply <em>x</em> on both sides: xsin39° = 9
- Isolate <em>x</em>: x = 9/sin39°
- Evaluate: x = 14.3011
- Round: x ≈ 14.30
C. Feverishly he went through the remaining strips of paper
Answer:
0.875
Step-by-step explanation:
Answer:
$31.55
Step-by-step explanation:
She earns $25.75 one week and $37.80 another week that means she earned $25.75 + $37.80 = $63.55 in total
She spent $32 therefore she has $63.55 - $32 = $31.55 left