Answer:
c=(1,-8)
d=(7,-8)
e=(7,0)
f=(1,0)
Step-by-step explanation:
It super simple, just just move each point to the right 5 lines/units, and up 2 lines/units.
8, 10, 12
A helpful equation:
x+x+1+x+2 = 30
Combine like terms
3x + 3 = 30
Subtract 3 from each side
3x = 27
Divide each side by to isolate x
x = 9
x = 9. However, 9 is not an even number. Let’s subtract 1 from 9 to get the first even number.
The first number is 8. The best two even numbers after 8 are 10 and 12.
8 + 10 + 12 = 30, thus this is the sequence.
Here's the solution,
the volume of the given figure is :
=》
volume of pyramid :
=》
=》
=》
=》
volume of pyramid = 40 cm³
now, volume of rectangular prism :
=》
=》
=》
volume of rectangular prism = 40 cm³
volume of composite figure = 40 + 40
=》80 cm³
Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
