Answer:
59 ° F
Step-by-step explanation:
F = 9/5 C + 32
= 9/5 (15) + 32 = 59 ° F
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x
Area = length * width
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85
(2x + 17) ( x - 5)
x = -17/2 or x = 5
Let x = 5 ;
length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7
Area = 13 x 7 = 91
Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing
Answer:
arc ≈ 5.5 units
Step-by-step explanation:
The arc of the circle is calculated as
arc = circumference of circle × fraction of circle
= 2πr × 
( r is the radius )
= 2π × 3.5 × 
= 
≈ 5.5 ( to the nearest tenth )
m∠RSV = 3x + 5, m∠RST = 8x - 14 <em>given</em>
m∠RSV ≅ m∠VST <em>definition of segment bisector</em>
m∠RSV + m∠VST = m∠RST <em>angle addition postulate</em>
(3x + 5) + (3x + 5) = (8x - 14) <em>substitution</em>
6x + 10 = 8x - 14 <em>simplify (added like terms)</em>
10 = 2x - 14 <em>subtraction property of equality</em>
24 = 2x <em>addition property of equality</em>
12 = x <em>division property of equality</em>
Answer: x = 12
Answer:
x=9
Step-by-step explanation:
2x=x+9
Subtract x from both sides;
2x-x=x+9-x
Simplify;
x=9
