(a.) is the answr. ............................................
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°
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(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°
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(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°
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(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...
∠MFB = 180° -∠M -∠FBM = 180° -31° -38°
∠MFB = 111°
Answer:
x = 2/15
Step-by-step explanation:
first, create a formula or expression
16x - 7 = x - 5
move x, subtract it
15x - 7 = -5
add 7
15x = 2
divide by 15
x = 2/15
sub in to check:
-4.85667 = -4.86667
This is a triangular prism.
The lateral faces are triangles; this means that the two bases are parallel to one another. This makes it a prism instead of a pyramid.
The bases being triangles makes it a triangular prism.