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butalik [34]
3 years ago
8

On the circle below, tangent line BC¯¯¯¯¯ is constructed by striking an arc from point D that intersects circle A at point B. Th

e measure of EC¯¯¯¯¯ is 8 units and other measures are shown on the diagram below. Enter the distance from point D to point B.

Mathematics
1 answer:
weqwewe [10]3 years ago
5 0

Answer:

\huge\boxed{BD = 12\ units}

Step-by-step explanation:

If AB = 5 , then AE = 5 [Radii of the same circle]

So,

AC = AE + EC

AC = 8+5

AC = 13 units

Now, Using Pythagorean theorem to find the missing side i.e. BD because tangent strikes the circle at 90 degrees making the triangle a right angled triangle

c^2=a^2+b^2

Where c = AC , a = BD and b = AB

13^2 = BD^2+5^2

169 = BD² + 25

Subtracting 25 to both sides

169 - 25 = BD²

BD² = 144

Taking square root on both sides

BD = 12 units

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Zack, Jack and Sasha earned £250 altogether delivering leaflets.
AleksAgata [21]

Answer:

Zack earned £125, Jack earned £75, and Sasha earned £50

Step-by-step explanation:

Considering the number of leaflets delivered

Zack 50%, Jack 30% and Sasha 20%

Total delivered = 50 + 30 + 20 = 100%

If they earn £250 on the 100% delivery, then each will have as shown below

Zack = (50/100)*250

= 5*25

= £125

Jack = (30/100)*250

= 3*25

= £75

Sasha = (20/100)*250

=2*25

= £50

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4 years ago
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volusia instructure.com - Private A triangle is shown below. What are the coordinates of the three vertices? 10T 9 8 -6 5 B 3 4
Lesechka [4]

7,3), (-2, 3), (3,-2) 0 (-7, -3), (-2, 3), (2, -3)

7 0
3 years ago
If y varies directly as x and y=3 when x=10, find x when y=8<br><br>Please, somebody, I need help
Kryger [21]

Answer:

26.6

Step-by-step explanation

3=10*k

3/10=.3

y=8

8=.3*x

8/.3=26.6

8 0
3 years ago
Which number is rational
Irina-Kira [14]

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36/16

Step-by-step explanation:

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3 years ago
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What is the solution to the system of equations? 3x + 10y = -47 5x- 7y = 40<br>Please and thank u
anastassius [24]

Answer:

x=1, y=-5

Step-by-step explanation:

Given equations are:

3x+10y=-47\ Eqn\ 1\\and\\5x-7y=40\ Eqn\ 2

In order to solve the equation

Multiplying Eqn 1 by 5 and eqn 2 by 3 and subtracting them

So,

Eqn 1 becomes

15x+50y=-235

Eqn 2 becomes

15x-21y=120

Subtracting 2 from a

15x+50y - (15x-21y) = -235-120

15x+50y-15x + 21y = -355

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y = -355/71

y =-5

Putting y= -5 in eqn 1

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3x = 3

x = 3/3

x = 1

Hence the solution is:

x=1, y=-5

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3 years ago
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