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Archy [21]
3 years ago
11

In Circle Q, what is m Hint: It's not 66.

Mathematics
1 answer:
luda_lava [24]3 years ago
6 0

Answer:

33

Step-by-step explanation:

The two angles are vertical angles so the angle opposite angle 1 is the same as angle 1 .  We will call it angle 1 as well

<1 + <1 + 114 = 180 because it forms a semi circle

2 <1 + 114 = 180

Subtract 114 from each side

2 <1 = 180-114

2 <1 = 66

Divide each side by 2

<1 = 66/2

<1 = 33

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An automobile dealer has several options available for each of three different packages of a particular model car: a choice of t
AlexFokin [52]

Answer:

60 ways

Step-by-step explanation:

Given that an automobile dealer has several options available for each of three different packages of a particular model car: a choice of two styles of seats in three different colors, a choice of four different radios, and five different exteriors.

No of exteriors = 5

No of radios = 4

Number of styles of colours = 3

Thus he can select exterior any one of the five or in 5 ways

Similarly he can select radio in 4 ways and

Number of styles of colours in 3 ways

Choices of automobile  a customer has

= product of these three

= 5*4*3 = 60

8 0
3 years ago
Suppose you are told that the number of X Station gaming consoles increased linearly for the month of December. What can the slo
I am Lyosha [343]
It could tell you that your amount sold is going up steadily per unit of time
8 0
4 years ago
Read 2 more answers
Find the volume of the prism.
Oliga [24]

9514 1404 393

Answer:

  420 mm³

Step-by-step explanation:

The volume is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

The triangular base area is given by the formula ...

  A = 1/2bh

  A = 1/2(10.5 mm)(10 mm) = 52.5 mm²

Then the volume of the prism is ...

  V = (52.5 mm²)(8 mm) = 420 mm³

7 0
3 years ago
David ran on a straight track. Every time he ran 480 m, he took a break. After 2 breaks, he still had to run 120 m to complete t
umka21 [38]

Answer:

540m

Step-by-step explanation:

The distance of the track is is equal to the playground's distance.

-The total distance covered is obtained by summing 120 and the distance per break by the total number of breaks:

d=480\times 2+120\\\\=1080\ m

-The distance of the playground half the track's distance:

d_p=0.5d_t\\\\=0.5\times 1080\\\\=540\ m

Hence, the distance of the playground is 540m

4 0
3 years ago
In which quadrant does the terminal side of a 314° angle lie?
alexandr1967 [171]
We know that

I Quadrant -----> <span>for angles between 0 degrees and 90 degrees
</span>II Quadrant-----> for angles between 90 degrees and 180 degrees
III Quadrant-----> for angles between 180 degrees and 270 degrees
iV Quadrant-----> for angles between 270 degrees and 360 degrees

therefore

314 degrees belong to the IV quadrant

5 0
4 years ago
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