Answer:
"Let the smaller value a = <u>10</u> and the larger value b = <u>100</u>. Than a^2 + 2ab + b^2 is <u>10^2 + 2 * 10 * 100 + 100^2</u>. This can be simplified to <u>12100</u>. So, 110^2 is equal to <u>12100</u>."
Hope this helped!
Answer:
8 miles a day
Step-by-step explanation:
First you have to subtract the amount of miles she had already gone.
60 - 12 = 48
Next you have to divide by the remaining amount of days (6 days).
48/6 = 8
Answer:
4 2/3 cm
Step-by-step explanation:
When we have area, it is the related to the scale factor by the scale factor squared
Area large/ area of small = 49/9
Take the square root
sqrt(49/9) = 7/3
The scale factor is 7/3 large to small
The small side is 2 cm
large 7 x cm
-------- = ------ = -----------
small 3 2 cm
Using cross products
7*2 = 3x
Divide by 3
14/3 = 3x/3
14/3 = the large side
4 2/3 cm
Answer:
<u>x = 50°</u>
Step-by-step explanation:
2x = 140 - 40
2x = 100
x = 100/2
<u>x = 50°</u>
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°.
