Yea i believe because thats what i learned in school<span />
The dimensions of a room are determined by its length, width and height. In this problem we will assign a length of 12', a width of 13', and a height of 8' (as standard ceiling heights in most homes are 8' high). To calculate the amount of molding needed for strips at the top of the room and the bottom of the room we need to find the perimeter of the room. A length of 12' and a width of 13' make this room a rectangle. Determine the perimeter by adding 12' + 13' and multiplying the sum by 2 to get 50'. Multiply 50' x 2 to account for a decorative strip of molding at the floor and the ceiling and you get 100' total molding needed.
Answer:
x=0.9
Step-by-step explanation:
1.convert to improper fractions
4x+9/7/3=3x/0.5
2.Apply fraction cross multiply
(4x+9) * 0.5=7/3 * 3x
3. simplify
(4x+9) *0.5 =7x
4.Expand
2x+4.5=7x
5.Subtract 4.5 from both sides
2x=7x-4.5
6.Subtract 7x from both sides
2x-7=7x-4.5-7x
7.Simplify
-5x=-4.5
7.Divide by -5
x=0.9
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°
To learn more about information visit Supplementary angles :
brainly.com/question/17550923
#SPJ1
