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Zielflug [23.3K]
3 years ago
6

Which circles are congruent? B and C B and D A and D

Mathematics
2 answers:
Shkiper50 [21]3 years ago
6 0

Answer:

Circles A  and D are congruent because they both have a radius of 3

Step-by-step explanation:

omeli [17]3 years ago
3 0

Answer:

Circle A and circle D are congruent ⇒ 3rd answer

Step-by-step explanation:

* Lets talk about the circle

- Any circle has diameter

- Any circle has radius which is half the diameter in length

- All the circles are similar because the measure of all circles is 360°

 and there is the ratio between the radii

- The two circles are congruent if they have the same radii because

  the congruence is special case of similarity when the ratio equal 1

* Lets look to the figure to solve the problem

- There are four circles in the figure

# Circle A with radius 3"

# Circle B with radius 4"

# Circle C with radius 5"

# Circle D with radius 3"

∵ The radius of circle A = 3"

∵ The radius of circle D = 3"

∴ The radii of circle A and circle D are congruent

∴ Circle A and circle D are congruent

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You get GPS units from two manufacturers, A and B. You get 43% of your units from A and 57% of your units from B. In the past, 2
defon

Answer:

0.5015 = 50.15% probability that it came from manufacturer A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: From manufacturer A.

Probability a unit is defective:

2% of 43%(from manufacturer A)

1.5% of 57%(from manufacturer B). So

P(A) = 0.02*0.43 + 0.015*0.57 = 0.01715

Probability a unit is defective and from manufacturer A:

2% of 43%. So

P(A \cap B) = 0.02*0.43 = 0.0086

What is the probability that it came from manufacturer A?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0086}{0.01715} = 0.5015

0.5015 = 50.15% probability that it came from manufacturer A.

4 0
2 years ago
4x – 3y=8<br> 2. 5x – 2y = -11
AlladinOne [14]

Answer:

x = -7

y =  - 12

Step-by-step explanation:

The given system is:

4x-3y=8

5x-2y=-11

We make x the subject in the top equation to get:

x =  \frac{3}{4}y + 2

Plug this expression for x in the bottom equation to get

5( \frac{3}{4}y + 2) - 2y=  - 11

We expand to obtain

\frac{15}{4} y + 10 - 2y =  - 11

Multiply through by 4

15y + 40 - 8y =  - 44

Group similar terms

15y - 8y =  - 44 - 40

7y =  - 84

y =  -  \frac{84}{7}  =-12

This means

x =  -12\times  \frac{3}{4}  + 2

x =  - 7

6 0
3 years ago
What is the y-intercept of the line perpendicular to the line y = 3/4x + 3 that includes the point (-3, -3)
kipiarov [429]
A perpendicular line has an opposite reciprocal slope. This means that the new line will have a slope of -4/3x. Plug in x and y into the equation y=Mx +b where m is the slope (-4/3):
-3=(-3/4)(-3) + b
and isolate b:
b-3=(-3/4)(-3)
b=(-3/4)(-3) +3
b=9/4+3
b=21/4

The final equation is y= -4/3x + 21/4
The y intercept is (21/4).
6 0
3 years ago
Is 100 MG less than 10g
pantera1 [17]
There are 1000 grams in a gram  and 1000 times 10 is 10000 so yes 100 mg is less than a 10g
3 0
3 years ago
Read 2 more answers
Find the values of x and y
julsineya [31]

Answer:

y = 70 degrees

x = 11

Step-by-step explanation:

The side opposite x + 2 is equivalent so they will both be equal to 13.

To get the meaning of x, simply subtract 2 from 13 giving you x = 11.

Y is across from corner C, which is 70 degrees. These angles are equivalent to each other, meaning that angle y is also 70 degrees.

Hope this helps you :)

4 0
3 years ago
Read 2 more answers
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