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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Answer:
what graph
Step-by-step explanation:
Answer:
$448
Step-by-step explanation:
You need to find 2% of 400.00, so you would do this: 0.02 · 400 = 8
That means $8 is 2% of 400, so all you need to do is multiply 8 by 6 to get 48. Add that number to the original $400, and you get $448.
<em>Hope this answers your question!</em>
Answer:
x = 20
I am not sure if you wanted the answer. Sorry!
Step-by-step explanation:
Let's solve your equation step-by-step.
1/10 x + 5 = - 3x - 13 + 4x
Step 1: Simplify both sides of the equation.
1/10 x + 5 = - 3x - 13 + 4x
1/10 x + 5 = - 3x + - 13 + 4x
1/10 x + 5 = (<em>- 3x + 4x</em>) + (- 13)
1/10 x + 5 = <em>x</em> + - 13
1/10 x + 5 = x - 13
Step 2: Subtract x from both sides.
1/10 x + 5 - <em>x </em>= x - 13 - <em>x</em>
- 9/10 x + 5 = - 13
Step 3: Subtract 5 from both sides
- 9/10 x + 5 - <em>5</em> = - 13 - <em>5</em>
- 9/10 x = - 18
Step 4: Multiply both sides by 10/(- 9).
(<em>10/ - 9</em>) * (- 9/10 x) = (<em>01/ - 9</em>) * (- 18)
x = 20
Hope this helps!
Answer:
759.88 square inches
Step-by-step explanation:
