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:
x = 5
x = 2
Step-by-step explanation:
2(2x + 4) = 8x - 12
2x + 4 = 4x - 6
x + 2 = 2x - 3
x = 5
Question 17
8/4 = (x + 2)/(2x - 2)
2(2x - 2) = x + 2
4x - 4 = x + 2
3x = 6
x = 2
X times 0.05 = $50
Solve for x
We do the inverse of times which is divide
$50 divide by 0.05 = $1000
Thus, $1000 is the amount of loan.
Answer:
9. 16.34
10. 51.84
11. 20.11
12. 76.03
13. 64.09
just look up circumference of a circle and you should be able to put the radius in the first thing that pops up :)
A. but I would double check on that one first.
