30 POINTS + BRAINLIEST!!! PLEASE HELP ASAP!!!

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule.

30 POINTS + BRAINLIEST!!! PLEASE HELP ASAP!!!Complete Each Congruency Statement And Name The Rule Used.

Answers

Answer 1

Answer:

CNBD

Step-by-step explanation:

From the diagram, we can see that:

[tex]\displaystyle BL\parallel CA[/tex]

Then by Alternate Interior Angles:

[tex]\angle LBA\cong \angle CAB\text{ and } \angle BLC\cong \angle ACL[/tex]

From vertical angles, we also know that:

[tex]\displaystyle \angle BKL\cong \angle AKC[/tex]

This is all we can gather from the given image. Knowing only three pairs of angles cannot prove congruence, as proving congruence requires at least one side.

Congruence cannot be determined.

Answer 2

Answer:

Cannot be determined

Step-by-step explanation:

With BL and AC being parallel, we can deduce that the two triangles in question share all three of their angles. However, there is no information given that implies any of the sides are equal. AAA (Angle-Angle-Angle) is a proof of similarity, but not congruence, therefore the two triangles cannot be determined to be congruent.


Related Questions

Leonardo has 140 in his bank account. He also gets an additional $15 each hour Write an equation to represent how much money, y, is in his account after x, hours.​

Answers

y= 140 + 15x
y represents the current amount of money in the bank acc depending on x, the hours
15x represents the additional $15 every hour (x)
You also need to add 140 to that so its the total amount of money in the bank acc

Com.ment me if u have any questions!
If I’m correct, brainliest pls!
-SpaceMarsh

Answer:

.y= 140 + 15x

Happy to help :)

Why anything divided by 0 go undefiened​

Answers

Answer:

First, remember that mathematics is a logical construct.

So, when something has no logical sense, it is undefined.

Now, let's think about a division by zero:

If you have $100, and you want to divide it between 0 people, how much gets each one of them?.

Naturally, there is no logical answer to this question, we can not know how much gets each one of these people because we have no people to divide that money.

Now, we can find another logical problem if we assume that the division is actually defined.

For example if 1 divided by zero is equal to a number A, we have:

1/0 = A

ok, if now multiply both sides by zero we get:

(1/0)*0 = A*0

1*(0/0) = A*0

1 = 0

So, 1/0 can be defined only if 1 = 0, again, a logical problem.

This is why the division by zero is not defined.

(125^2 +25^2) (5^2-1) is divisible by 3

Answers

Answer:

See Below.

Step-by-step explanation:

We want to prove that the expression:

[tex](125^2+25^2)(5^2-1)[/tex]

Is divisible by three.

We can simplify the second factor:

[tex]=(125^2+25^2)(25-1)\\\\ = (125^2+25^2)(24) \\\\ = (125^2+25^2)(8\cdot 3)[/tex]

Since the second factor is being multiplied by three, we can conclude that the entire expression is divisible by three.

Answer:

It is divisible by 3.

Step-by-step explanation:

(125² + 25²)(5² - 1) ÷ 3

(15625 + 625)(25 - 1) ÷ 3

(16250)(24) ÷ 3

390000 ÷ 3

130000

Let f be a function of two variables that has continuous partial derivatives and consider the points

A(8, 9),

B(10, 9),

C(8, 10),

and

D(11, 13).

The directional derivative of f at A in the direction of the vector AB is 9 and the directional derivative at A in the direction of

AC is 2. Find the directional derivative of f at A in the direction of the vector AD.

(Round your answer to two decimal places.)

Answers

Answer:

The directional derivative of f at A in the direction of [tex]\vec{u}[/tex] AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector [tex]\vec{u}=(a,b)[/tex] is denoted by [tex]D\vec{u}f(x,y)[/tex],

[tex]D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b[/tex].

Now the given points are

[tex]A(8,9),B(10,9),C(8,10) and D(11,13)[/tex],

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

[tex]\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)[/tex]

AC=(8-8,10-9), the direction is

[tex]\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)[/tex]

AC=(11-8,13-9), the direction is

[tex]\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5} \right )[/tex]

Step 3:

The given directional derivative of f at A [tex]\vec{u}_{AB}[/tex] is 9,

[tex]D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9[/tex]

The given directional derivative of f at A [tex]\vec{u}_{AC}[/tex] is 2,

[tex]D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2[/tex]

The given directional derivative of f at A [tex]\vec{u}_{AD}[/tex] is

[tex]D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}[/tex]

[tex]D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}[/tex]

[tex]D\vec{u}_{AD}f= \frac{27+8}{5} =7[/tex]

The directional derivative of f at A in the direction of  [tex]\vec{u}_{AD}[/tex] is  7.

HELP ASAP !!!! Which equation is satisfied by all three of the plotted points?

Answers

Answer:

Ok, so im not 100% sure about this answer but i think its D:

Step-by-step explanation:

I think this is correct because i used desmos  and had plotted those answer and the only one that looks close enough to this answer was D.

I'll also put up the pictures so you can see what i mean.

I hope this help.

If k(x) = 5x - 6, which expression is equivalent to (k + k)(4)?

Answers

Answer:

52

Step-by-step explanation:

k(x) = 5x - 6

(k + k)(4) =

First find k(4) = 5(4)+6 = 20+6 = 26

(k + k)(4) = 26+26 = 52

In the diagram below

Answers

Answer:

Step-by-step explanation:

Given RT bisects QTS, so

3x+9 = 5x-3

9+3 = 5x-3x

2x = 12

x = 6

Check:

3(6) + 9 = 27

5(6)-3 = 27

checks

Adar, Chi, and Melissa each left the party by themselves. In how many different orders can they leave?

A. 5
B. 6
C. 7
D. 9

Answers

The answer is A they can only be in different orders

I wil Mark BRANLIEST!! HELP!!!! Consider the graphs of linear function f(x) = 3x, quadratic function g(x) = 3x2, and exponential function h(x) = 2x. Which statement about the functions f, g, and h is correct?
A. As x increases, the value of f(x) will eventually exceed the values of g(x) and h(x).
B. As x increases, the value of g(x) will eventually exceed the values of f(x) and h(x).
C. As x increases, the value of h(x) will eventually exceed the values of f(x) and g(x).
D. As x increases, the values of both f(x) and g(x) will eventually exceed the value of h(x).
Here the Graph: https://www.savvasrealize.com/community/proxy/assessment/68bd51a0599744be92849bd2e08be180/images/bdbcc6b2-8670-4ddc-95a2-a48b6d6da348

Answers

Answer:

option C

Step-by-step explanation:

Given :

[tex]f(x) = 3x \\\\g(x) = 3x^2\\\\h(x) = 2^x[/tex]

We will just put values for x and check the function :

Let x = 1

f(x) = 3

g(x) = 3

h(x) = 2

Let x = 10,

f(x) = 30

g(x) = 300

h(x) = 1024

Let x = 100

f(x) = 300

g(x) = 30000

h(x) = [tex]1.27 \times 10^{30}[/tex]

Clearly , as x increases value of h(x) exceeds the value of f(x) and g(x).

how many whole numbers starting with 1 and ending with 1000 are perfect squares?​

Answers

Answer:

There are 31 perfect squares between 1 and 1000

Hope it helps❤️

The square below is the image of a square that was dilated by a scale factor of 1. Find
the area of the preimage, the original square, before its dilation. Figures are not
necessarily drawn to scale.
11

Answers

Answer:

1,936 square units

Step-by-step explanation:

From the question, we have it that the original image was dilated by a factor of 1/4

what this mean is that the original image was reduced by up to a quarter size to get this new image

Now, to get the original image, we have to enlarge by a factor of 4

So, we simply have to multiply the side length of the new square by 4

We have that as;

11 * 4 = 44 units

Mathematically, the area of a square is the square of its side length

So, we have the area of the square as;

44 * 44 = 1,936 square units

Evaluate:
will give brainliest

Answers

Answer:

80

Step-by-step explanation:

S4 = 2(3°+3¹+3²+3³)

= 2(1+3+9+27)

= 2(40)

= 80

How many solutions does this linear system have? y = 2x – 5 –8x – 4y = –20 one solution: (–2.5, 0) one solution: (2.5, 0) no solution infinite number of solution

Answers

Answer:

one solution: (2.5, 0)

Step-by-step explanation:

We are given the following system of equations:

y = 2x - 5

-8x - 4y = -20

Replacing the first equation into the second:

[tex]-8x - 4(2x - 5) = -20[/tex]

[tex]-8x -8x + 20 = -20[/tex]

[tex]-16x = -40[/tex]

[tex]16x = 40[/tex]

[tex]x = \frac{40}{16}[/tex]

[tex]x = 2.5[/tex]

y

[tex]y = 2x - 5 = 2(2.5) - 5 = 5 - 5 = 0[/tex]

Thus the system has one solution: (2.5,0).

Kofi, Kojo and Ama shared GH¢ 480,000.00 in the ratio 3:5:4. How much did Ama receive?
A. GH¢ 160,000.00
B. GH¢ 200,000.00
C. GH¢ 218,181.81
D. GH¢ 342,859.14

Answers

Answer:

160000

Step-by-step explanation:

Let ratio be 3x,5x,4x

Sum of ratios 3x+5x+4x=12x

Share of Kofi:-

(3/12)x480000=120000

Share of Kojo:-

(5/12)x480000=200000

Share of Ama:-

(4/12)x480000=160000

What is the value of g(3)

Answers

Answer:

f(3)=2 (from the right table). g(f(3))=g(2)=-3.

Step-by-step explanation:

lemme get Brainliest please

Correct option is
A
−2
Given,
g(x)=2x−3
In order to find g(2) and g(3) we have to put 2 and 3 in place of x
g(2)=2×2−3
g(2)=4−3=1

g(3)=(2×3)−3
g(3)=6−3=3
g(2)−g(3)=1−3
g(2)−g(3)=

Luke's tyre pressure gauge shows a reading which is 8% higher than the actual pressure.
What is the actual pressure when Sue's gauge shows 39.42?

Answers

Answer:

so for this we do

39.42*1.08=42.5736

Hope This Helps!!!

pls answer quickly i need it

Answers

i) yes, it is a line segment.

ii) (7, 0)

iii) y-axis; the line segment is a vertical line and goes up and down, which means only the y-axis would be parallel to the line segment

Paul wants to buy a bicycle that costs $86.50. He has saved $60. He earns $5.30 an hour working after school and can save half of his total earnings. How many hours will he have to work to buy the bicycle?

Answers

He needs to work 10 hours

Answer:

10 hours

Step-by-step explanation:

86.50-60=26.50

5.30/2=2.65

2.65*10=25.50

so 10 hours of work to buy the bicycle

What restrictions may be necessary to the domain and range of linear equations?

Answers

Answer:

There may be restrictions on the domain and range. The restrictions partly depend on the type of function. In this topic, all functions will be restricted to real number values. That is, only real numbers can be used in the domain, and only real numbers can be in the range.

What the car monthly payment?? Show work plz

Answers

Answer:

$656.25

p=35000

t=5

r=2.5

interest=ptr/100

=35000x5x2.5/100

=4375

amount=p+i

=35000+4375

=39375

now,

5 yr= 5x12months = 60 months

$39375/60=$656.25

i think so...

Every round in a competition costs 30 diamonds and you get 10 shards. How many diamonds will it cost you to reach 1,024 shards?

Answers

Answer:

3,090 diamonds

Step-by-step explanation:

To get 10 shards, you need to spend 30 diamonds.

First thing we need to find, how many rounds you need to play to get 1,024 shards if in each round you win 10 shards?

1,024/10 = 102,4

But you can not play 102.4 rounds, you only can play whole numbers, so we need to round it to the next whole number (not the previous one, because in that case, we would get less than 1,024 shards)

Then you need to play 103 rounds.

And each round costs 30 diamonds, then the total number of diamonds that you need is:

103*30 diamonds = 3,090 diamonds

⚠️TEST QUESTION PLEASE HELP DUE IN 5 MINUTES⚠️

Answers

Answer:

Step-by-step explanation:

The letter c

Help me please which expression is equal

Answers

The answer is C.

45^-3 can be transferred to the denominator, making the 45 in the denominator have a power to the 6th power.

2x-3 5x+6= Multiply and combine like terms

Answers

Answer:

10x^2 - 3x -18

Step-by-step explanation:

if you meant (2x-3)(5x+6), you just multiply out

Answer:

Step-by-step explanation:

Use FOIL method

(2x - 3)(5x + 6) = 2x*5x + 2x*6 + (-3)*5x  + (-3) *6

                        = 10x² + 12x - 15x  - 18 {Combine like terms}

                        = 10x² - 3x - 18

Like terms are terms that have same variable with same power.

2. Mr. Theorem writes the expression 6^2/(2m) on the board. What is the value of this expression when the value of m = 3?

Answers

Answer:

6

Step-by-step explanation:

6^2/(2m)

Let m = 3

6^2/(2*3)

6^2 / 6

36/6

6

Answer:

6

Step-by-step explanation:

(6)² / 2m

36 / 2 × (3 ) ( given :- m = 3)

36 / 6

6

78.4 divided by 0.56

Answers

78.4 ÷ 0.56 = 140

I just used an online calculator like you could do. But, here you go.

78.4 divided by 0.56 = 140

What is the gradient of the blue line

Answers

Answer:

1/4

Step-by-step explanation:

1) Find two points of the line

(4,2)  and (8,3)

Gradient = (y2 - y1)/(x2-x1)

(3-2)/(8-4) = 1/4

there are 24 students in a class. among them 8 are girl.
a.find the ratio of boys and girls
b.find the ratio of girls and boys​

Answers

Answer:

A    2:1

B    1:2

Step-by-step explanation:

If there is 24 students and 8 are girls, then 24 - 8 tells you how many are boys.

24 - 8 =  16.

There are 16 boys.

If there is 16 boys and 8 girls, the ratio would be 2 : 1 or 2/1 or 2 because 16  and 8 have a common factor of 8, so both sides can be divided by 8.

Hence the 8 : 2.

Ratios are commonly expressed with a colon, so that is going to be the symbol I'm using to differenciate the numbers.

We can just reverse the ratio since the original was boys to girls, but it is now girls to boys.

1:2

Please help and thank you!

Answers

Answer:

f(x) = 4*e^(0.05*x)

Step-by-step explanation:

We want to find the equation for the graph.

The first thing we can see, is that, as the value of x increases, also does the value of y.

So f(x) increases as x increases.

Then we can discard the options with negative exponents, as those decrease when x increases.

Then the remaining options are:

f(x) = 4*e^(0.05*x)

f(x) = 4*e^(0.5*x)

In the graph, we can see that:

f(5) ≈ 5

So let's check that with the two remaining options:

For the first one we have:

f(5) = 4*e^(0.05*5) = 5.13

While for the second option we have:

f(5) = 4*e^(0.5*5) = 48.73

Then the correct option is the first one:

f(x) = 4*e^(0.05*x)

Please solve this equation. Thank you!

38x-12y = (6+2n)x + (4-n)y​​

Answers

Step-by-step explanation:

the answer is in the above image

Answer:

39x -12y = (6n+2n)X+(4-n)y

6+2n=38

2n=38-6

2n=32

n=32÷2

n= 16

Other Questions
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