Answer:
Step-by-step explanation:
m∠HDG = 28°, m∠EFG = 50°, m∠DEG = 67°, m∠DGE = 65°
Solution:
Triangle sum property:
Sum of the angles of the triangle = 180°
In ΔDHG,
m∠HDG + 120° + 32° = 180°
m∠HDG + 152° = 180°
m∠HDG = 180° – 152°
m∠HDG = 28°
In ΔGEF,
m∠EFG + 17° + 113° = 180°
m∠EFG + 130° = 180°
m∠EFG = 180° – 130°
m∠EFG = 50°
Sum of the adjacent angles in a straight line is 180°
m∠DEG + m∠DEF = 180°
m∠DEG + 113° = 180°
m∠DEG = 180° – 113°
m∠DEG = 67°
In ΔDGE,
m∠DGE + 48° + 67° = 180°
m∠DGE + 115° = 180°
m∠DGE = 180° – 115°
m∠DGE = 65°
Hence m∠HDG = 28°, m∠EFG = 50°, m∠DEG = 67°, m∠DGE = 65°.
Answer:
One student has lived in 7 states
Step-by-step explanation:
Answer:
7x-2, -x-6y+16, 5x-3
Step-by-step explanation:
I'm guessing the three expressions are:
1. 3(x+2) + 4(x-2)
2. 2(x+y) - 3(x+y) - (y+8) + 4(6-y)
3. 2(4x+3) - 3(x+1)
... 1. 3(x+2) + 4(x-2)
= 3x + 6 + 4x - 8
= 7x - 2
... 2. 2(x+y) - 3(x+y) - (y+8) + 4(6-y)
= 2x + 2y - 3x - 3y - y - 8 + 24 - 4y
= -x - 6y + 16
... 3. 2(4x+3) - 3(x+1)
= 8x + 6 - 3x - 3
= 5x - 3
Answer:
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
