if triangle ocd ≅ triangle JAL, then which of the following statements are true?

If Triangle Ocd Triangle JAL, Then Which Of The Following Statements Are True?

Answers

Answer 1

Answer:

I III and IV

Step-by-step explanation:

Answer 2

According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Given :

Triangle OCD ≅ Triangle JAL

The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.

So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Therefore, the correct option is D).

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Related Questions

9) Nancy starts a race at the start line and she is running 3 meters per second. Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.

Nancy’s equation: Juan’s equation:

Answers

Given:

Nancy is running 3 meters per second.

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.

To find:

The equations for Nancy and Juan.

Solution:

Let x be the number of seconds.

Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

[tex]y=3x[/tex]

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

[tex]y=3+2x[/tex]

Therefore, the equations of Nancy and Juan are [tex]y=3x[/tex] and [tex]y=3+2x[/tex] respectively.

LAST ONE NEED HELP ASAP !!!

Answers

Answer:

2.5

Step-by-step explanation:

Divided them

Idek know this tbhhhhh

Write each equation/inequality in slope-intercept form.
y- 5 = 1/3 (x-6)

Answers

Answer:

Your answer is: y = 1/3x + 3

Use the formula y = mx + b

Step-by-step explanation:

Hope this helped : )

PLEASE ANSWER WILL GIVE BRAINLIEST

You are considering a $3,500 investment. The table shows the possible outcomes in cash flow next year. What is the expected rate of return on this asset?
(see attachment)

Answers

Answer:

The expected rate of return is $442.5

Step-by-step explanation:

The expected rate of return is given by the following formula;

[tex]E[R] = \displaystyle\sum_{i=1}^n R_i \times P_i[/tex]

Where;

E[R] = The expected return

[tex]R_i[/tex] = The return received in the instance i

[tex]P_i[/tex] = The probability for obtaining the return, [tex]R_i[/tex], in the instance i

n = The number of instances for the calculation

Therefore, we have;

The expected rate of return E[R] = 0.3 × 200 + 0.5×415 + 0.2 × 875 = $442.5

Answer the answer is D 12.6%

Step-by-step explanation:

Help me pleaseeeeeeeeeeeee

Answers

Answer:

b

Step-by-step explanation:

Answer: B

Explanation there is nothing for me to explain

The graph of y = x² is the solid black graph below. Which function
represents the dotted graph?

Answers

Answer:

y= -(x-4)^2

Step-by-step explanation:

y=X^2 is the parent function

The new graph is reflected and shifted to the right 4 units

y= -(x-4)² function represents the dotted graph

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph

y=X² is the parent function

Reflections of graphs involve reflecting a graph over a specific line. Reflecting functions are functions whose graphs are reflections of each other.

The new graph is reflected and shifted to the right 4 units

y= -(x-4)²

Hence, y= -(x-4)² function represents the dotted graph

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HELP HAVING BAD DAY
Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?

If Stanley swam for t hours yesterday, what was his running time?

Answers

Answer:

9

Step-by-step explanation:

9 (t3+0.5)

his running time is 9

Answer:

1.5 Hrs

Step-by-step explanation:

SWIM:  Time: T    Rate: 2.5mph   Distance: 2.5T

RUN:    Time: T+0.5  Rate: 9mph   Distance: 9T+4.5

BIKE:    Time: 2T+1  Rate: 16mph   Distance: 32T+16

2.5T+9T+4.5+32T+16 =  64

43.5T+20.5=64

43.5T=43.5

T=1

RUN: T+0.5= 1+0.5=1.5      

PLEASE HELP I WILL GIVE YOU 13 POINTS

Answers

Answer:

I think it would be C.

Step-by-step explanation:

For y [tex]\geq[/tex] the line should be solid and it should be shaded above the line because ≥ means greater than.

For y > the line should be dashed and it should be shaded above the line because it means greater than.

For y [tex]\leq[/tex] the line should be solid and it should be shaded below the line because it means less than.

For y < the line should be solid and it should be shaded below the line because it means less than.

Hope this helps!

A secret recipe requires you mix chocolate and cream cheese in the ratio 3:2, based on weight. If you use 21 oz of chocolate, how much cream cheese do you need?

Answers

Answer:

14

Step-by-step explanation:

21/3

7*2

Which method represents a correct way to solve the equation?

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

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

OA.

Square -3.

Square x.

Subtract -7x from both sides.

OB. Subtract 9 from both sides.

Take the square root of both sides.

Square -3.

Square x.

Combine like terms

OC. Subtract 6 from both sides.

Use the quadratic formula to solve for x.

OD

Square the quantity (-3 + x).

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Answers

Answer:

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Step-by-step explanation:

Given:

-x (-3 + x )2 = 6

-x (-3 + x )2 = 6

-x (-6 + 2x) = 6

-6x + 2x^2 = 6

2x^2 - 6x - 6 = 6 - 6

2x^2 - 6x - 6 = 0

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Rasu made some chocolate milk. She added 3 tsp. Of cocoa mix with 2 cups of milk. Farah also made some chocolate milk. She added 5 tsp. Of cocoa mix to 3 cups of milk. Which mixture is more chocolatey flavored (stronger chocolate flavor)? Explain your reasoning.

Answers

The correct answer is Farah's mixture

Explanation:

In this situation, how strong chocolate flavor is in the mix depends on the ratio of ingredients as more cocoa leads to a stronger chocolate flavor.

Rasu:

Her ratio was 3 teaspoons of cocoa mix and 2 cups of milk. This can be expressed as 3:2  or [tex]\frac{3}{2}[/tex]. Also, this can be simplified by dividing the amount of cocoa into the amount of milk 3 ÷ 2 = 1.5. This means for each cup of milk Rasu added 1.5 teaspoons of cocoa.

Farah:

The ratio was 5 teaspoons of cocoa mix and 3 cups of milk. So, the ratio is 5 : 3 or [tex]\frac{5}{3}[/tex], which is equal to 1.6. This implies for each cup of milk Farah added 1.6 teaspoons of cocoa. This ratio of cocoa vs milk is higher in Farah, which means he added more cocoa, and her mix would have a stronger chocolate flavor.

Vaness’s team won their softball game and scored sixty-three points total. If Vanessa scored fifteen of the points and everyone else scored six points each, how many players were on her team?

Answers

8. 63-15=48 48 divided by 6=6

ITS SUPER EASY PLEASE HELP ITS DUE IN AN HOUR PLEASEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

- 84

Step-by-step explanation:

I think answer to this question is -28

I hope it will be correct

N
What is the value of y?
O 3V3 units
O6v3 units
U
3
9V3 units
O 12V3 units
T
M

Answers

Answer: b

Step-by-step explanation:

Just took the test

The value of y is 12√3

Pythagoras theorem

From the diagram given, we are to find the value of "y"

First, we need to get the length of TU

TU² = 6² - 3²

TU² = 36 - 9

TU = √27

Next is to get the value of y

y² = (√27)² + 9²

y² = 27 +81

y = √108

y = 12√3

Hence the value of y is 12√3

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What is the common difference or common ratio for the sequence: 27, 9, 3, 1, 1/3, ...

Answers

Answer:

It's dividing by 3 everytime, so 1/3

Step-by-step explanation:

√50
A. 5√2
B. 3√5
Which one? ​

Answers

Answer: A. 5√2

Apply the radical rule: √xy = √x·√y

√50 = √25·2 = √25·√2 = 5√2

∴ √50 = 5√2.

14 out of 22 students surveyed enjoyed playing baseball. If 308 students are surveyed, how many would you expect to say they enjoy playing baseball?

Answers

Answer:

124

Step-by-step explanation:

14 -22=8

8= the number of students that didn't like playing baseball

Somehow 8 = 800%

if you subtract 800%-308 it gives you -124

124 students don't like playing baseball

log 8-log 4/log 4-log 2​

Answers

Answer:

-0.39794000867

Step-by-step explanation:

This is the table in which we can see the values of two squared, two cubed, and so on. This is an operation in mathematics, known as exponentiation. If we look at the numbers at the bottom line, we can try to find the power value to which 2 must be raised to get this number. For example, to get 16, it is necessary to raise two to the fourth power. And to get a 64, you need to raise two to the sixth power. Also this is totally the answer

Answer:

1

Step-by-step explanation:

[tex]\frac{log_{10}(2) }{log_{10}(4)-log_{10}(2) }[/tex]

[tex]\frac{log_{10}(2)}{2log_{10}(2)-log_{10}(2) }[/tex]

Add similar elements [tex]\frac{log_{10}(2) }{log_{10}(2) }[/tex]

Apply rule [tex]\frac{a}{a}=1[/tex]

=1

:)Hope you enjoy this:)

It costs $2.37 to paint one square foot of wall. You need to paint a wall that measures 864.5 square feet. It will cost to paint that wall. (Round your answer to the nearest hundredth)
a $204.88
b $2,048.87
c $2,048.86
d. $2,848.87 ​

Answers

Answer:

B- hope this helps:)

Step-by-step explanation:

The total cost to paint 864.5 square feet of wall is $2,048.87.

It is given that the cost to paint one square foot of wall is $2.37.

We are asked to find the total cost to paint 864.5 square feet of wall.

What are the different place values in a given number with a decimal point?

If we have a number that has a decimal point then we have two parts.

The whole number part and the fractional part.

After the decimal point, we will count the place value as tenths, hundredths, thousandths, and so on.

You can also see the given figure below.

We know that,

One square foot = $2.37.

Remember that Feet is the plural form of the foot.

We can write,

864.5 square feet = 864.5 x  one square foot

Because in 864.5 square feet we have 864.5 one square foot.

And since one square foot cost $2.37.

864.5 square feet will cost 864.5 x 2.37 dollars.

Now,

864.5 x 2.37 = $2048.865.

Rounding to the nearest hundredth.

6 is in the hundredth place so we will round 86 to 87 since the number in the thousandth place is greater than 4.

Thus the total cost to paint a wall of 864.5 square feet is $2,048.87.

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Find the measure of the labeled angles

Answers

Answer:

x would equal 23, so (x+92) would equal 115°, & (5x) would equal 115°.

a line is perpendicular to y - 5 = -1/4(x + 8) and goes through the point (-1,2). What is the lines y-intercept?

Answers

Answer:

y = 4x + 6

Step-by-step explanation:

Turn the equation we are given into slope-intercept form.

y - 5 = -1/4(x + 8)

y - 5 = -1/4x - 2

y = -1/4x + 3

The slope of a perpendicular line is the opposite reciprocal of the original line.

-1/4 -> 4/1 -> 4

Find the new y-intercept using the point given.

y = 4x + b

2 = 4(-1) + b

2 = -4 + b

6 = b

Fill in everything we solved for.

y = 4x + 6

Best of Luck!

A hardback book cost $7.00 more than a paperback book. Write an expression for the total cost of 1 paperback book and 3 hardback books

Answers

Answer:

Tc=3x+(x-7)

Step-by-step explanation: So, the Tc stands for total cost. The x stands for the variable for the hardback books and the x-7 is the price of the paperback book. You could introduce another variable, but that might be more confusing

The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $32 for each room. (a) How many rooms can a hotel pay the company to clean for $500? Write and solve an equation.

Answers

Answer:

15 rooms.

Step-by-step explanation:

32x=500

x=15.625

Rounding down (since you can't get a fraction of a room), you get 15 rooms.

Find two consecutive integers whose sum is eleven less than three times the smaller integer.

Answers

Answer:

If you call the smaller integer "x" and the greater integer "y", then:

x+y=3x-11             The sum of the two is 11 less than 3 times the smaller

y=x+1                    Because they are consecutive, the greater must be 1 more than the smaller

Then you can solve for x:

x+(x+1)=3x-11       Substitute x+1 for y

2x+1=3x-11            Combine like terms

2x+12=3x               Add 11 to both sides

12=x                      Subtract 2x from both sides

The smaller integer is 12, thus the greater integer is 1 more or 13.

Check:

12+13=3(12)-11

25=36-11

25=25                       Yes, so the integers are 12 and 13

Step-by-step explanation:

thats pretty much it

Is it correct? Please tell me I’m not sure lol I’ll give brainliest

Answers

you are correct
and omg i love your handwriting!

What would be the best first step in solving 0.05x + 0.01 = 0.025? Explain.

Answers

Answer:

Step-by-step explanation:

it would be to subract 0.01 from 0.025 because you want to get the x by itself

If the measure of angle ACB is 65 degrees, find the measure of angle BCD

Answers

Answer:

the answer is 25

Step-by-step explanation:

you take 65 and add 90 to it because there is an angle that is 90 and you should get 115 then you take 115 and subtract it from 180. and you will get 25 and 25 is your answer.

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer: The answer would be 25

Step-by-step explanation:

Hope this helps!

1. Find the Least Common Multiple of these two monomials:
See picture

Answers

Answer:

The last choice is correct

[tex]LCM=120a^4b^7c^5[/tex]

Step-by-step explanation:

Least Common Multiple (LCM)

To find the LCM we can follow this procedure:

List the prime factors of each monomial.

Multiply each factor the greatest number of times it occurs in either factor.

We have two monomials:

[tex]12a^4b^2c^5[/tex]

[tex]40a^3b^7c^1[/tex]

The prime factors of the first monomial are:

[tex]2^2,3,a^4,b^2,c^5[/tex]

The prime factors of the second monomial are:

[tex]2^3,5,a^3b^7c^1[/tex]

LCM = Multiply [tex]2^3*3*5*a^4*b^7*c^5[/tex]

These are all the factors the greatest number of times they occur.

Operating:

[tex]LCM=8*15*a^4*b^7*c^5[/tex]

[tex]\boxed{LCM=120a^4b^7c^5}[/tex]

The last choice is correct

3x-100 what does x equal?

Answers

Yes it’s 33.33 repeating

can someone help me with this problem

Answers

Answer:

A because the angles add to 180, which is what angle ABC is.

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