Answer:
70 km/h
Step-by-step explanation:
Answer:
Angle Q is 51°
Angle R is 96°
(x=5 and the exterior angle is 84°)
Step-by-step explanation:
Exterior Angle Theorem says that angle that's outside the triangle (extend a side and see the angle between the side extension and the side) IS Equal to the sum of the two angles that are farther away.
17x - 1 = 33 + 10x + 1
Get all the x's on one side of the equation.
17x-10x - 1 = 33 + 10x-10x+1
7x - 1 = 33 + 1
7x - 1 = 34 add 1 to both sides
7x = 35 divide by 7
7x/7 = 35/7
x = 5
Not finished ! Find Angle Q
10x+1 = 10(5)+1= 51°
Angle PRQ is insidethe triangle. All the angles of a triangle add up to 180°
33° + 51° + R = 180°
84° + R = 180°
R = 96°
Answer:
slope = 1/2
Step-by-step explanation:
Answer:
20 cm
Step-by-step explanation:
An hexagon has 6 equal sides therefore its perimeter is obtained by summing up all the values of the 6 sides
For the bigger hexagon, the perimeter = 32 + 32 + 32 +32 + 32 + 32
or 6 *32
= 192 cm
Next, we'll calculate the perimeter of the smaller hexagon
Since their perimeters are in the ratio 8: 5
Let x represent the perimeter of the smaller hexagon
This gives;
8 : 5 = 192 : x
change to fraction
8/5 = 192 /x
cross multiply
8x = 192*5
8x = 960
Divide both sides by the coefficient if x which is 8
x = 120 cm
Since all sides of an hexagon are equal, we'll simple divide the value of the perimeter by the number of sides of the hexagon
120/6
20 cm
Therefore, the length of the corresponding smaller hexagon is 20 cm
Answer: yes
Step-by-step explanation:
because it starts at 0 and continues forward
