Answer: 54
Explanation step by step: according to bidmas you must open the bracket first before any other thing. so the solution is 5×5-7×3
We will determine the length of the segment DF as follows:
*We have that the triangles are similar, and therefore the following is true:

Now, we solve for DF:

From this, we have that the length of the segment DF equals 2.68 units.
Answer:
m∠MON = 15°
Step-by-step explanation:
The given parameters are;
m∠LON = 77°
m∠LOM = 9·x + 44°
m∠MON = 6·x + 3°
By angle addition postulate, we have;
m∠LON = m∠LOM + m∠MON
Therefore, by substituting the known values, we have;
∴ 77° = 9·x + 44° + 6·x + 3°
77° = 9·x + 44° + 6·x + 3° = 15·x + 47°
77° = 15·x + 47°
77° - 47° = 15·x
15·x = 77° - 47° = 30°
15·x = 30°
x = 30°/15 = 2°
x = 2°
Given that m∠MON = 6·x + 3° and x = 2°, we have;
m∠MON = 6 × 2° + 3° = 12° + 3° = 15°
m∠MON = 15°.
Answer:
B
Step-by-step explanation:
10% of 49.99
0.1 x 49.99 = 4.99
49.99 - 4.99 = 45.00
30% of 60.00
0.3 x 60 = 18
60 - 18 = 42.00
Answer:
x = -24
Step-by-step explanation: