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Lilit [14]
2 years ago
8

∠ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what i

s the measure of ∠ABD?

Mathematics
2 answers:
romanna [79]2 years ago
7 0

Answer: 42°

Step-by-step explanation:

First, find the minor arc AD.

arc AD=360-72-123=156

Then, ∆ABD=1/2(minor arc AD- minor arc AC)

∆ABD=1/2 (156-72)

∆ABC=1/2 84

∆ABC=42°

Sonbull [250]2 years ago
5 0
Check the picture below

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Help me with #5 pleaseeeeeeeeeee
earnstyle [38]

Answer:

\angle 1 = 45 degrees

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Sum of 3 angles in a triangle is 180..

The angles given are:

60

7x + 12

1

So we sum to 180 and write:

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Also, straight angle is 180 degrees, thus Angle 1 and (14x + 9) angle is sum to 180, thus we can write:

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Or we can write this as:

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6 0
2 years ago
A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they double the
valina [46]

Answer:

Boxes sold first week = 104

Boxes sold second week =x+5= 104+5=109

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Step-by-step explanation:

Let x be the number of boxes sold in first week

the girls sold 5 more boxes the second week

So number of boxes sold in second week is x+5

they double the sales of the second week for the third week

So number of boxes sold in third week is 2 (x+5)

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4x=416

divide by 4 on both sides

x=104

Boxes sold first week = 104

Boxes sold second week =x+5= 104+5=109

Boxes sold third  week = 104 times 2= 218

4 0
3 years ago
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