Answer:
Option B is correct.
Angle DAC is congruent to angle DAB
Step-by-step explanation:
Given: Segment AC is congruent to segment AB.
In ΔABD and ΔACD
[Given]
[Congruent sides have the same length]
AB = AC [Side]
AD = AD [Common side]
[Angle]
Side Angle Side(SAS) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Then by SAS,

By CPCT [Corresponding Parts of congruent Triangles are congruent]
then;

therefore, only statement which is used to prove that angle ABD is congruent to angle ACD is: Angle DAC is congruent to DAB
Answer:
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
The numbers of passengers that need to be booked to ensure the cruise line makes a profit, using a compound inequality is x ≥ 2,052 and x ≤ 2,462.
<h3>How to illustrate the inequality?</h3>
From the information given, we are told that the cruise ship needs to book at least 2,052 passengers to be profitable, but the most passengers the ship can accommodate is 2,462.
Learn x be the number of people that can be accommodated. Therefore, the model is x ≥ 2,052 and x ≤ 2,462.
Learn more about inequalities on:
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The right answer is Option D.
Step-by-step explanation:
Boxes of ice cream received = 50
Ice-creams in each box = 12
Total ice-cream bars = No. of boxes * Ice cream bars in each box
Total ice-cream bars = 
No. of people who had ice cream bars = 520
Ice-cream bars left = Total ice cream bars - No. of people who had ice cream
Ice cream bars left = 
80 ice cream bars were left.
The right answer is Option D.
Keywords: multiplication, subtraction
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