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galina1969 [7]
3 years ago
6

The stem-and-leaf plot shows the distances, in miles, that a group of owners of new cars drove one weekend.

Mathematics
1 answer:
zmey [24]3 years ago
5 0
6 people drove between 50 and 65 miles because the stem-and-leaf plot show 55, 56, 58, 58, 63, 63
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Sean determines that the triangle shown in the diagram has angle measures of 40°, 40°, and 100°. Is Sean correct?
kotykmax [81]
The bottom left angle is 180 -80=(100)

So the remaining 2 angles are equal 80
As all angles in a triangle are equal to 180

X+5 + x - 5 =80
Simplify
2x=80
X=40

Soo one of the angles are 40-5 which is (35)
And the other is 40+5 which is (45)
So sean is not correct
~sorry sean teehee
6 0
3 years ago
Read 2 more answers
The first term in a geometric series is 64 and the common ratio is 0.75. Find the sum of the first 4 terms in the series.
maks197457 [2]

Answer:

195.25

Step-by-step explanation:

Consider geometric series  S(n) where initial term is a

So S(n)=a+ar^1+...ar^n

Factor out a

S(n)=a(1+r+r^2...+r^n)

Multiply by r

S(n)r=a(r+r^2+r^3...+r^n+r^n+1)

Subtract S(n) from S(n)r

Note that only 1 and rn^1 remain.

S(n)r-S(n)=a(r^n+1  -1)

Factor out S(n)

S(n)(r-1)=a(r^n+1  -1)

The formula now shows S(n)=a(r^n+1  -1)/(r-1)

Now use the formula for the problem

4 0
3 years ago
Number Line<br> B is between A and C. AB= 12 and BC= 17. what is the length of AC?
igor_vitrenko [27]

Answer:

29

Step-by-step explanation:

AB+BC=AC

12+17=29=AC

5 0
3 years ago
In the diagram shown of circle A, tangent MB is drawn along with chords BAC and BF . Secant MFE intersects BAC at G. It is known
mote1985 [20]

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°

3 0
3 years ago
8/15 multiplied by 5/6
weeeeeb [17]
To multiply two fractions, we multiply the top number (numerators) together and the bottom numbers together (denominators) and then simplify.

8 x 5 = 40
15 x 6 = 90

40/90 can be simplified (÷10) to 4/9
5 0
3 years ago
Read 2 more answers
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