Answer:
-6d - (c - d)^2 = -33
Step-by-step explanation:
-6(4) - (3)^2 =
-24 - 9 =
-33
9514 1404 393
Answer:
1. ∠EDF = 104°
2. arc FG = 201°
3. ∠T = 60°
Step-by-step explanation:
There are a couple of angle relationships that are applicable to these problems.
- the angle where chords meet is half the sum of the measures of the intercepted arcs
- the angle where secants meet is half the difference of the measures of the intercepted arcs
The first of these applies to the first two problems.
1. ∠EDF = 1/2(arc EF + arc UG)
∠EDF = 1/2(147° +61°) = 1/2(208°)
∠EDF = 104°
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2. ∠FHG = 1/2(arc FG + arc ES)
128° = 1/2(arc FG +55°) . . . substitute given information
256° = arc FG +55° . . . . . . multiply by 2
201° = arc FG . . . . . . . . . subtract 55°
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3. For the purpose of this problem, a tangent is a special case of a secant in which both intersection points with the circle are the same point. The relation for secants still applies.
∠T = 1/2(arc FS -arc US)
∠T = 1/2(170° -50°) = 1/2(120°)
∠T = 60°
1,248 divided by 4= 312
your welcome
:))
Answer: Mr Brust snored a total of 19,840 times last summer
Step-by-step explanation:
Mr Brust snores in the ratio of 1 nap : 320 snores or 1 nap = 320 snores
Given that he took a nap everyday, last summer We have that .
For the month of July,
he had 31 naps( 31 days are in July)
Number of snores he made =31 x 320=9,920 snores
For the month of August
he also took 31 naps ( 31 days are in AugusT)
Number of snores he made = 31 x 320=9,920 snores
Therefore Mr Brust snored a total of 9,920+ 9,920 =19,840 times
