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Artemon [7]
4 years ago
6

In the diagram below, an and bc are tangent to o. What is the measure of adc

Mathematics
2 answers:
Cloud [144]4 years ago
5 0
Look at the attached graphic.

40° = ½ (ADC -140°)
40° = ½ ADC  -70°
110° = ½ ADC
ADC = 220°


Vlad [161]4 years ago
3 0

Answer:

mADC = 220°

Step-by-step explanation:

In the given diagram AB and BC are tangents to the given circle O. We have to find the measure of arc ADC.

By theorem of tangents and arcs.

m∠ABC = \frac{1}{2} [m ADC- m AC ]

Since it is given in the question

∠ABC = 40 & AC = 140°

Therefore, 40 = \frac{1}{2} [ m ADC - 140 ]

40 × 2 = m ADC - 140

80 + 140 = m ADC

mADC = 220°

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Nine times the sum of a number 7 and 3 equals .
Artist 52 [7]

Answer:

i believe 90 is the answer because if 7+3 is 10, then 9x10 is 90.

8 0
3 years ago
Seth has a garden with dimensions 9 feet long times 8 feet wide he wants to enlarge the garden to an area of 120 ft.² how much f
ziro4ka [17]

Answer:

6 ft longer (total length of 15ft)

Step-by-step explanation:

the initial dimensions are:

length: l=9ft

width: w=8ft

the area area of the garden is given by:

a=l*w

so the original area is:

a=9ft*8ft=72ft^2

Since we need the area to be 120ft^2, and we can only change the length, the width will still be 8ft.

We substitute the value of the new area and the width to the equation for the area:

a=l*w\\120ft^2=l*8ft

and we clear for the new length:

l=\frac{120ft^2}{8ft}\\ \\l=15

The length of the garden for the area to be 120ft^2, must be 15ft.

This means that if originally the length was 9 ft, now it has to be 6 ft longer.

5 0
3 years ago
What percent would be equivalent to \frac{8}{10} 8 10 ?
Dmitry_Shevchenko [17]

\bf \cfrac{8}{10}\implies 8\div 10\implies \stackrel{\textit{decimal}}{0.8}\implies \stackrel{\textit{to make it a percent}}{0.8\cdot 100}\implies \stackrel{\%}{80}

7 0
4 years ago
Marcia talks on the phone to Gabrielle for 1/3 of an hour How many minutes did she spend on the phone with Gabrielle
viva [34]

Answer:

20 minutes

Step-by-step explanation:

Theres 60 minutes in a hour so a third of that would be 20

4 0
4 years ago
Factor completely. x2+7x−18 Enter your answer in the box.<br> 50 POINTS
Aliun [14]
The first step to solving this is to write 7x as a difference
x² + 9x - 2x - 18
next you need to factor out x from the expression
x × (x + 9) - 2x - 18
then you'll need to factor out -2 from the expression
x × (x + 9) - 2 (x + 9)
lastly,, you need to factor out x + 9 from the expression
(x + 9) × (x - 2)
this means that the correct answer to your question is (x + 9) × (x - 2).
let me know if you have any further questions
:)
4 0
3 years ago
Read 2 more answers
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