Monica works in a clothing store. Her monthly pay is $800. She also receives 5% commission on all her sales. She had $35,748 in
sales last month. What were her earnings last month?
2 answers:
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The relationship between the lengths of the sides of a right triangle are
given by Pythagoras theorem.
- Part A: <u>ΔABC is similar to ΔADC</u>
- Part B: ΔABC and ΔADC are similar according <u>AA similarity postulate</u>
- Part C: <u>DA = 6</u>
Reasons:
Part A:
∠A = 90°
Segment AD ⊥ Segment BC
Location of point D = Side BC
Part A: In triangle ΔABC, we have;
∠A = 90°, ∠B = 90° - ∠C
In triangle ΔADC, we have;
∠ADC = 90°, ∠DAC = 90° - ∠C
∴ <u>ΔABC is similar to ΔADC</u> by Angle-Angle, AA, Similarity Postulate
Part B: The triangles are similar according to <u>AA similarity postulate</u>,
because two angles in one triangle are equal to two angles in the other
triangle and therefore, by subtraction property of equality, the third angle
in both triangles are also equal.
Part C: The length of DB = 9
The length of DC = 4
Required: Length of segment DA
In triangle ΔABD, we have;
∠BDA = 90°= ∠ADC
∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent
Therefore;
ΔABD ~ ΔADC by AA similarity, which gives;
=
Which gives;
= 4 × 9 = 36
= √(36) = 6
<u> = 6</u>
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Answer:
2 pieces.
Step-by-step explanation:
To identify how many pieces he can split with 8/10 of a candy bar, divide 8/10 by 1/3.
<u>Divide 8/10 by 1/3:</u>
<u>Find the Ricipricol, then flip the sign:</u>
<u>Multiply:</u>
<u />
2.4 represents how many pieces of chocolate he can make with 8/10 of a candy bar.
However, 2.4 pieces can't be made, therefore he can only make 2 <u>full</u> pieces.