Answer:
1. 90°
2. 90°
3. 40°
4. 45°
5. 45°
Step-by-step explanation:
<u>Given:</u> ΔABC,
CD⊥AB,
m∠A=50°,
m∠ACB=85°
<u>Solution:</u>
1. ∠ADC is a right ange, because CD⊥AB, so

2. ∠CDB is a right ange, because CD⊥AB, so

3. Consider triangle ACD. The sum of the measures of all interior angles is always 180°, so

4. By Angle Addition Postulate,

5. Consider triangle ABC. The sum of the measures of all interior angles is always 180°, so

Answer:
The dot product of vectors is the method used to "multiply" vecotrs since vectors aren't directly multiplieable
Step-by-step explanation:
Answer:
<u>There were 12 gold coins in the chest at the start.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
x = Number of gold coins in a chest
1/2x = Number of gold coins taken by the captain
1/4x = Number of gold coins taken by Sally
3 = Number of gold coins left
2. How many coins were in the chest at the start?
Let's write the following equation to solve for x:
1/2x + 1/4x + 3 = x
2x + x + 12 = 4x (Lowest Common Denominator is 4)
4x - 2x - x = 12 (Like terms)
x = 12
<u>There were 12 gold coins in the chest at the start.</u>
Answer:
24 units by 15 units
Step-by-step explanation: To find how many units the length and width are, divide each by 5:
120/5 = 24
75/5= 15
For every 5 feet, there is 1 unit .
Answer:
584.57
Step-by-step explanation: