Answer:
Q4: x=180-62 (angles on a straight line)
x=118°
Q5: they are supplementary angles as they are angles on a Straight line and adding up to 180°
The numerical sum of the degree measures of m ∠DEA and m ∠AEF and m ∠DEF is 360°; The numerical measures of the angles is,
m ∠DEA = 56°
m ∠AEF = 158°
m ∠DEF = 146°
Based on the given data,
m ∠DEA= x + 30,
m ∠AEF= x + 132, and
m ∠DEF= 146 degrees
If the sum of two linear angles is 360° then, they are known as supplementary angles.
∠A + ∠B + ∠C = 360°, (∠A and ∠B and ∠C are linear angles.)
So,
We can write,
m ∠AEF + m ∠DEA + m ∠DEF = 360°
( x + 132) + (x + 30) + 146 = 360°
x + 30 + x + 132 + 146 = 360°
2x + 308 = 360°
2x = 360° - 308
x = 52/2
x =26
Now, we will substitute the value of x = 26° in the ∠DEA and ∠AEF, hence we get:
m ∠DEA = x + 30
m ∠DEA = 26 + 30
m ∠DEA = 56 degrees
Also,
m ∠AEF = x + 132
m ∠AEF = 26 + 132
m ∠AEF = 158
Hence,
m ∠DEA + m ∠AEF + m ∠DEF = 360°
56 + 158 + 146 = 360°
360° = 360°
Therefore,
Therefore, the numerical sum of the degree measures of m ∠DEA and m ∠AEF and m ∠DEF is 360°; The numerical measures of the angles is,
m ∠DEA = 56°
m ∠AEF = 158°
m ∠DEF = 146°
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To find the volume of a pyramid you must multiple length x width x height, or in this case, just the base area x height. Then divide the number you get with 3.
124 x 24.2 = 3,000.8
you then divided this number by 3
3,000.8/3 = 1,000.2
Answer:
70
Step-by-step explanation:
The simplest way to find the number is work backwards. If you know the final answer is 10, start with 10 and make the number x. Then set up the original equation.
0.5x-25=10
Then start working backwards(isolate).
0.5x-25=10
+25 +25
in other words, 10+25=0.5x. (the 25 cancels out because -25+25=0)
10+25=35, so 35=0.5x.
Now, instead of dividing by 2, multiply by 2(opposite again).
35=0.5x
/0.5(aka *2) /0.5(cancels out)
now you are left with 70=x, so the number is 70.