Which of the following statements is true in its conditional and converse forms?

If K is between points J and L, then K is a midpoint.
If a polygon has 3 sides, then the sum of its interior angles is 180°.
If two angles are right angles, then they are congruent.
If B is the midpoint of AC¯¯¯¯¯¯¯¯, then AB = BC.

Answers

Answer 1

The converse statement involves switching the hypothesis and the conclusion of a conditional statement.

The correct statement is (d) If B is the midpoint of AC, then AB = BC.

The converse of the given conditional statements are:

If K is a midpoint, then K is between points J and LIf the sum of interior angles is  180°, then the polygon has 3 sidesIf two angles are congruent, then they are right anglesIf AB = BC, then B is the midpoint of AC

From the above statements, (a), (b) and (c) are not the same as the conditional statement, because:

Point K does not have to be between points J and L to be a midpoint.The sum of interior angles of all polygons (whether it has 3 sides or more) is 180 degreesCongruent angles may not be right angles

For option (d):

For B to be a midpoint of AC, it means that sides AB and BC are congruent.

Hence, the correct statement is (d)

Read more about conditional and converse statements at:

https://brainly.com/question/17684283


Related Questions

ggle is saying the wrong answer, anyone can help??

Answers

Answer:

X=2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

I am pretty good at math.

43 tens x 2 tens????????????????????????????????????

Answers

Step-by-step explan:45decenas

Answer:

8,600

Step-by-step explanation:

43 tens is basically 43 x 10

2 tens is 2 x 10

multiply that to get 8600

Hope it helps! :D

PLEASEEEEEE HELPPPPPPPPP

Answers

Solution:

[tex]5x + 3 = - 9 \\ = > 5x = - 9 - 3 \\ = > 5x = - 12 \\ = > x = \frac{ - 12}{5} \\ = > x = - 2 \frac{2}{5} [/tex]

Answer:

Option A .

[tex] - 2 \frac{2}{5} [/tex]

A water ballon is launched straight up. The balloons flight is modeled by the function h(t)=16t^2+192t

Answers

Answer:Step by Step Solution

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    h*(t)-(16*t^2+192*t)=0

STEP

1

:

Equation at the end of step 1

 ht -  (24t2 +  192t)  = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  ht - 16t2 - 192t  =   t • (h - 16t - 192)

Equation at the end of step

3

:

 t • (h - 16t - 192)  = 0

STEP

4

:

Theory - Roots of a product

4.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

4.2      Solve  :    t = 0

 Solution is  t = 0

Equation of a Straight Line

4.3     Solve   h-16t-192  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  h-16t-192  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000

 t-intercept = 192/-16 = 12/-1  = -12.00000

Calculate the X-Intercept :

When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000

 h-intercept = 192/1  = 192.00000

Calculate the Slope :

Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.125/2.000 =  0.062

Geometric figure: Straight Line

 Slope = 0.125/2.000 = 0.062

 h-intercept = 192/1 = 192.00000

 t-intercept = 192/-16 = 12/-1 = -12.00000

t = 0

Step-by-step explanation:

Solve.

−712x=3.85

Enter your answer as a mixed number in simplest form in the box

Answers

-712x=3.85
x=3.85/-712
x=-0.0054073

Answer:

The answer is -6 3/5! Hope this helps you.

Please help! I need help T-T

Answers

Answer:

$130.00

Step-by-step explanation:

674-284=390

390/3=130

what that person said :(

4x – 3y = -7
5x – 4y = - 8

Answers

The answer is x=−4 and y=−3

12 lightbulbs are tested to see if they last as long as a manufacturer claims they do three lightbulbs failed a test two light bulbs are selected at random without replacement find the probability that both light bulbs failed the test

Answers

Using the hypergeometric distribution, it is found that there is a 0.0455 = 4.55% probability that both light bulbs failed the test.

The bulbs are chosen without replacement, and this is why the hypergeometric distribution is used to find the probability.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.

In this problem:

12 bulbs, thus [tex]N = 12[/tex]3 failed the test, thus [tex]k = 3[/tex].2 are selected, thus [tex]n = 2[/tex].

The probability that both failed the test is P(X = 2), thus:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,12,2,3) = \frac{C_{3,2}C_{9,0}}{C_{12,2}} = 0.0455[/tex]

0.0455 = 4.55% probability that both light bulbs failed the test.

A similar problem is given at https://brainly.com/question/24826394

Evaluate the expression when x=-4. X^2+5x+7

Answers

Answer:

-29

= -16 + 5(-4) + 7

=16 - 20 + 7

=-29

Which functions have graphs that are steeper than the graph of f(x) = -3x2 ? Select each correct answer.​

Answers

Answer:

the answer would be:

g(X)

and

m(X)

Step-by-step explanation:

make me as Brainliest sorry if I am wrong

Solve for x.

X +1/2=3/4

O X = - 1/2
O X = 1/2
O X = -1/4
O X = 1/4​

Answers

Answer is 1/4
Hope this helps :)
Tell me if I’m wrong
X= 1/4, the last one

Please help !!! Will mark as brainliest !!!

Answers

Answer:

So the answer would be (A.

Step-by-step explanation:

(25 points) Ratio question

If you mix blue and yellow paint in different ratios, you will get different shades of
green paint. If the ratios are equivalent, the shades of green will be the same.
- Clare mixed a batch of green paint using 8 cups of yellow paint and 5 cups of blue paint. Jada mixed another batch of green paint using 6 cups of yell paint and 4 cups of blue paint.

Are these two batches the same shade of green?

Yes
or
No

Answers

Answer:

No

Step-by-step explanation:

Answer:

No, it will not be the same shade of green.

Step-by-step explanation:

For the shade of green to be equivalent that person would need both of the proportions to be equal weather it is 6/4 and 12/8 or 8/5 16/10.

The ratios 8/5 and 6/4 do not match therefore the green the batches make will not be equal.

I hope this helps :D

What is the slope of the line shown?

Answers

Answer:

m=-2/-1 or m=-2

Step-by-step explanation:

Find two points on the line, then use this formula:  m=rise/run  or m=y2-y1/x2-x1

m=0- 2/-3-(-2)

m=-2/-1 or m=-2

HELP WILL MARK BRAINLIEST

Answers

Answer:

3*3*3-1*1

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3x3=9

1x2=2

so 9-2=7

fast films video allows you to rent up to 6 movies a month for a flat rate of $17.75. videos by mall allows you to rent up to 8 movies for $25.00. which company offers the better value

Answers

Answer:

The second company offers better value

Step-by-step explanation:

$17,75 / 6 = ~$2,96

$25 / 8 = ~$3,13

Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents Jon’s age and represents Laura’s age, what value of j could be Jon’s age?

Answers

Answer:

35

Step-by-step explanation:

The factors chosen are 35 and 38 which multiplied = 1330(the product) Laura is 3 years older than jon so she is 38 and Jon is 35.

What is m if 14 + 9m = -13

Answers

Answer:

-3m

Step-by-step explanation:

everyone knows we should take the unknown letter to a one side and numbers to another side.

so first ;

9m + 14 = -13

9m = -13 - 14

9m =-27

9m/9 = -27 / 9

m = -3

-3 is the finale answer

Find the measures of the angles of a right triangle with one angle whose measure is 10

Answers

Answer:

10, 80 and 90 degrees.

Step-by-step explanation:

The third angle will  90 - 10 = 80 degrees.

please help me
An Uber driver charges $5.00 per mile driver, and $3.50 to pick up a rider.
Part A: Write a function rule for the total cost for n cost to take an Uber.
Part B: How much does a 20 mile trip cost?
Part C: Does a 10 mile trip cost half as much as a 20 mile trip cost? Explain.

Answers

Answer:

1) y=3.5+(5•x)

2) 103.5

3) No, because 5•20 is 100 and 5•10 is 50, BUT with both you still have to add 3.5 no matter what because of the $3.50 to pick up the rider

Answer:

im gonna go with c

What are the coordinates of each vertex if the figure is rotated 90° counterclockwise about the origin?

A. A'(-2, 2), B'(-5. - 2). C'(-3, -6),D (3,-4)

B. A' (2, – 2), B' (5,2), C'(3,6). D(-3,4)

C. A'(-2, – 2),B'(-5,2),C'(-3, 6),D(3,4)

D. A'(2, 2), B'(5,- 2),C'(3,-6),D'(-3,-4)

Answers

Answer:

sorry wont let me click off this question so so so sorry

Step-by-step explanation:

hope u do really well

An example of a reciprocal of the fraction 3/7 is 7/3 true or false

Answers

Yes that’s true give me brainliest pls
The reciprocal of a fraction is just switching the numerator (top number) and the denominator (bottom number).

So the reciprocal of 3/7 is 7/3, True.

what is the first natural number
A.0 B.1. C.-1​

Answers

Answer:

1

Step-by-step explanation:

1 is the first natural number because 0 is not a natural number.

All natural numbers are numbers from 1 onward.

Ex. 1.2.3.4.5.6...

Find the solution to the system of the equations shown below:
y = - 4x + 11
y = 1/2x+ 2

a. (4,1)
b. (11, 2)
C. (2,3)
d. (3, 2)

Answers

Hi

The answer is C. (2, 3).

Select all that apply. To create perpendicular lines, I can transform a line by:
1. Rotating the line 270° around any point.
2. Translating the line horizontally.
3. Rotating the line 45° around any point, then rotating it another 45° around any point.
4. Translating the line vertically.
5. Reflecting the line over itself.
6. Rotating the line 45° around any point.
7. Reflecting the line over any point on the line.
8. Rotating the line 90° around any point.

Answers

Answer:

8. Rotating the line 90° around any point.

Step-by-step explanation:

Perpendicular lines intersect each other at a right angle. Therefore, the transformation should create an image that intersects the preimage at an angle of 90∘. Since a rotation changes the angle between the preimage and the image, it can create perpendicular lines.


Please help!!

Answers:
A)Triangle HGF is congruent to triangle FEH.
B) Triangle GFH is congruent to EFH
C) Angle KHE is congruent to angle KHG
D)Angle GHK is congruent to angle EFK
E)Segment EH is congruent to segment GH
F)Segment HG is congruent to FE
G)Segment FH is congruent to segment HF

Answers

Answer:

I guess HEF is congruent to GFH

But it's just guess I'm not confirm

Answer:

A.

Step-by-step explanation:

the triangle HGF is congruent to traingle FEH

69632 + 69469 - 59303 ​

Answers

Answer: 79798

Step-by-step explanation:

139101 - 59303

= 79798

please give me a brainliest answer

Answer:

79798

Step-by-step explanation:

  69632

+ 69469

=  139101

-   59303

=  79798

Hope this helps :)

Use a property of equality to solve this equation:

4.5x = 18

x =

Answers

Answer:

4

Step-by-step explanation:

x= 18÷4.5=4

hope it helps

4.5x = 18

step 1: divide both sides by 4.5

x = 18/4.5

x = 4

A
32°
B
D
=
С
m2C = [?]
Enter the number that belongs in
the green box
Enter

Answers

Answer:

58°

Step-by-step explanation:

in ΔABD

∠ADB = 32°

∠DBA = 90°

∠BAD = 180° - (32 + 90)

∠BAD = 58°

As ΔBAD ≅ ΔBCD

∠BAD = ∠BCD

So ∠BCD = 58°

the answer is 26!!!!!!!

Each letter of L I T T R E L L is written on a card. The cards are placed in a basket. Find each probability if Elsa selects a card, leaves it out, and then selects another card.

7. Is this an independent or dependent event? Explain: ______________________________ _____________________________________ _____________________________________

8. What is the probability of selecting a T and then an E?

9. What is the probability of selecting a T, and then another T?

10. P(E, then I)?

Answers

Step-by-step explanation:

7. I believe it's independent because it makes sense and if it was dependent it wouldn't make senses.

8.For T you have 2 (Ts) so that give you a 2/8= 25% so you would basically make those Ts disappear and focus on 1 out of 6 and you'd get a 16.67% chance

9. 14.2857%

10. I don't understand ;-; am I suppose to multiply or see the chance if % it would get

I'm sorry;-;

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