Answer:
The measure of angle E is:
m∠E = 80°
Step-by-step explanation:
Given
The triangle ΔDEF
It is stated that DE=EF and G is the midpoint of EF.
It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.
Given
m∠GDE = 10°
As the right-angle triangle, ΔDEG lies at the right-angle G.
So, m∠DGE = 90°
as
m∠GDE = 10°
m∠DGE = 90°
m∠E = ?
We know that the sum of angles of a triangle is 180°.
m∠GDE + m∠DGE + m∠E = 180°
10° + 90° + m∠E = 180°
100 + m∠E = 180°
m∠E = 180° - 100
m∠E = 80°
Therefore,
The measure of angle E is: m∠E = 80°
Answer:
Volume of a hexagonal pyramid = 588 square meter
Step-by-step explanation:
Given:
Base area of hexagonal pyramid = 147 square meter
Height of hexagonal pyramid = 4 meter
Find:
Volume of a hexagonal pyramid
Computation:
Volume of a hexagonal pyramid = Base area of hexagonal pyramid x Height of hexagonal pyramid
Volume of a hexagonal pyramid = 147 x 4
Volume of a hexagonal pyramid = 588 square meter
The answer is B through ASA (Angle-Side-Angle) similarity criterion.
16/21 is your answer
You can take a 2 out of both numbers to get your answer
I hope this helped! :)
