Answer:
- arc BF = 76°
- ∠M = 31°
- ∠BGE = 121°
- ∠MFB = 111°
Step-by-step explanation:
(a) ∠FBM is the complement of ∠FBC, so is ...
∠FBM = 90° -52° = 38°
The measure of arc BF is twice this angle, so is ...
arc BF = 2∠FBM = 2(38°)
arc BF = 76°
__
(b) ∠M is half the difference between the measures of arcs BE and BF, so is ...
∠M = (1/2)(138° -76°) = 62°/2
∠M = 31°
__
(c) arc FC is the supplement to arc BF, so has measure ...
arc FC = 180° -arc BF = 180° -76° = 104°
∠BGE is half the sum of arcs BE and FC, so is ...
∠BGE = (1/2)(arc BE +arc FC) = (138° +104°)/2
∠BGE = 121°
__
(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...
∠MFB = 180° -∠M -∠FBM = 180° -31° -38°
∠MFB = 111°
Answer:
<h3>(a) 3^9</h3>
Step-by-step explanation:
<h3> IN EXPONNETIAL FORM :</h3>
<h3>– (a^m× a^n) = (a^m+n)</h3>
<h3>3^4 × 3^5 = 3^4+5 = </h3>
<h2>3^9 </h2>
<h3 />
9 x 72 = 9 x ? + 9 x 2
72 = 8 x 9 = 4 x 2 x 9
9 x 72 = 9 x 4 + 9 x 2
76.6% so rounded up would be 77% as an a fraction 46/60