Answer:
Step-by-step explanation:
20) Angles 1 and 2 are supplementary angles( sum of angle 1 and angle 2 is 180 degrees)
21) Angles 1 and 2 are supplementary angles( sum of angle 1 and angle 2 is 180 degrees)
22) Angle TUW + Angle WUV =Angle TUV
Therefore
(7x-9) + (5x - 11) = (9x+1)
7x-9 + 5x - 11 = 9x+1
7x +5x-9x =1 + 11 + 9
3x = 21
x = 21/3= 7
23) GEF - 13 = 5DEG
and DEF = 149 degrees
GEF = 5DEG + 13
Sum of angles (GEF + DEG)=DEF
Therefore,
DEG + 5DEG - 13 = 149
6DEG = 149 + 13 = 162
DEG = 162/6 = 27
GEF = 5DEG = 27 × 5 =135
24) 7x - 1 + 6x -1 = 180(sum of angles in a straight line)
13x-2 = 180
13x = 180+2 = 182
x = 182/13 = 14
25) 5x + 4 + 8x - 7 = 180( sum of supplementary angles is 180)
13x = 180+7-4= 183
x = 183/13 = 14.08
Answer:
50.24 yards²
Step-by-step explanation:
The equation for area of circle is πr². So the calculation is 4² × 3.14.
16 × 3.14 = 50.24
Answer:
Option C: 41
Step-by-step explanation:
<ABD+<CBD=90
<ABD=8x+1
<CBD=6x+5
(8x+1)+(6x+5)=90
Combine like terms
(8x+6x)+(1+5)=90
14x+6=90
14x=90-6
14x=84
divide both sides by 14
x=6
Now we plug that value into <DBC = 6x+5
6(6)+5=
36+5
41
Answer:
Distance between mall and library is 6.32 miles.
Step-by-step explanation:
Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).
Since, distance between two points 
and 
is given by,
Distance = 
By this formula,
Distance between (2, 4) and (8, 4) will be,
Distance = 
= 
= 
= 6.32 miles
