Answer:

Step-by-step explanation:
The picture shows three isosceles tirangles with the same legs. The base of each triangle is 12 units, 5x-3 units and 17 units.
Since the angles at vertex of each isosceles triangles are 27°, 28° and 29°, then the lengths of the bases satisfy the double inequality
15<5x-3<17
Add 3 to this inequality
15+3<5x-3+3<17+3
18<5x<20
Divide it by 5:

x + y = 52
x = y - 18
Adding,
2x + y = 52 + y - 18
2x = 34
x = 17
y = x + 18 = 35
Check: x+y = 17+35 = 52, good
Answer: 17 and 35
Answer:
1.A. 88.89
2.B.6.3%
3.C.64.92%
Step-by-step explanation:
1.
to covert it into percentage multiply it with 100
then it becomes 88.888
rounding off to the nearest hundred it becomes 88.89
2. to convert into percentage multiply it with 100
therefore 0.063×100=6.3%
3. to find percentage
%= (no of students using mobile / total no of students )× 100
=
×100
=64.918
Rounding off to nearest hundred it becomes 64.92%
Answer:
2x⁴+x³-x²+54x+56
Step-by-step explanation:
Given the expression length of dylan room = (x² – 2x + 8) and width = (2x² + 5x – 7), assuming the shap of the room is rectangular in nature, the formula for calculating area of a triangle is given as;
Area of rectangle = Length *Width
Area of the rectangle = (x² – 2x + 8)(2x² + 5x – 7)
Area of the rectangle = x²(2x² + 5x – 7) - 2x (2x² + 5x – 7) + 8(2x² + 5x – 7)
= (2x⁴+5x³-7x²)-(4x³+10x²-14x)+(16x²+40x-56)
expanding the bracket
= 2x⁴+5x³-7x²-4x³-10x²+14x+16x²+40x-56
Collecting the like terms;
= 2x⁴+5x³-4x³-7x²-10x²+16x²+40x+14x+56
= 2x⁴+x³-x²+54x+56
Hence, the expression that represents the area (lw) of Dylan's room is 2x⁴+x³-x²+54x+56