B. 3M-2N
this is because when you combine 4n and -6n you get -2n
1.
a. there are 16 nickels so circle 12
b. 12 times 5= 0.60
2.
a. 12 dimes
b. there are 12 dimes so circle 10 (1.00)
3.
a. 10 quarters
b. circle 6 quarters (0.70)
Answer:
∠ADB = γ/2 +90°
Step-by-step explanation:
Here's one way to show the measure of ∠ADB.
∠ADB = 180° - (α + β) . . . . . sum of angles in ΔABD
∠ADB + (2α +β) + γ + (2β +α) = 360° . . . . . sum of angles in DXCY
Substituting for (α + β) in the second equation, we get ...
∠ADB + 3(180° - ∠ADB) + γ = 360°
180° + γ = 2(∠ADB) . . . . . . add 2(∠ADB)-360°
∠ADB = γ/2 + 90° . . . . . . . divide by 2
_____
To find angles CXD and CYD, we observe that these are exterior angles to triangles AXB and AYB, respectively. As such, those angles are equal to the sum of the remote interior angles, taking into account that AY and BX are angle bisectors.
37.04
+ 56.20
----------------
93.24