Given: KM bisects JKL
Prove: m MKL= 1/2m JKL

please explain

Given: KM Bisects JKLProve: M MKL= 1/2m JKLplease Explain

Answers

Answer 1

Answer:

Step-by-step explanation:

Given :

KM bisects JKL

To Prove :

m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]

                    Statements                                      Reasons

1). KM bisects ∠JKL                                 1). Given

2). m∠JKM = m∠MKL                              2). Definition of congruent angles

3). m∠JKM + m∠MKL = m∠JKL              3). Angle addition postulate

4). m∠MKL + m∠MKL = m∠JKL              4). Substitution property of equality

5). 2m∠MKL = m∠JKL                            5). Distributive property

6). m∠MKL = [tex]\frac{1}{2}\angle \text{JKL}[/tex]                               6). Division property of equality


Related Questions

Evaluate the function 7(x) = 2x+8 when x = 6.
O 96
O 28
O 20
O 16

Answers

Answer:

20

Step-by-step explanation:

Substitute x = 6 into f(x), that is

f(6) = 2(6) + 8 = 12 + 8 = 20

One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
lengths of all three sides, to two decimal places.

i would appreciate if you showed work so i know how you did it!

Answers

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

what is 2.5 (x - 1) + 4.5 (-x - 2)

Answers

Answer:

2.5(x-1)+4.5(-x-2)

2.5x-2.5-4.5x-9

-2x-11.5

Step-by-step explanation:

Answer:

2x-11.5

Step-by-step explanation:

[tex]2.5(x-1)+4.5(-x-2)\\2.5x-2.5+4.5x-9\\2.5+2x-9\\2x-11.5[/tex]

hope this helps

Segment AB is congruent to segment AB. This statement shows the ______ property. reflexive symmetric transitive substitution

Answers

Answer:

the answer is reflective

Step-by-step explanation:

Answer:

A). reflexive

Step-by-step explanation:

The correct answer is reflexive. I know because I got it right on the Edge quiz. Trust me!

Dunni earns money babysitting.She charges $20 for traveling to the job, plus another $5 for each hour she babysits.Yesterday Dunni earned $60 for babysitting job

Answers

Well. It sounds like she baby sited for 8 hours and the rest was from her flee so 20$ + 40$ =60$

When ax3 +x2 -2x +b is divided by x+1, the remainder is 10. When it is divided by x-3, the remainder is -46. What is the value of a and b?

Answers

Step-by-step explanation:

Given

X+ 2 = 0

X = -2

on putting in polynomial

-8a +2b= 0

- 8a = 2b

b = -4a

Now

when divided by x - 1 give remainder -15

so

x - 1 = -15

x = -14

on putting in polynomial

-2744a + 198 + 14b - 4 = -14

-2744a + 56a = - 208

-2688a = -208

a = 168/13

Now

b = 672/13

a -42+(-17)
b 8-(-9)
c 8(-9)
D
E
F
G

Answers

Answer:

.A -42+(-17)

Step-by-step explanation:

6x10-4 in standard notation

Answers

(6x10) - 4 would be standard notation.

Answer:

The Answer is 2(3x^10-2) Hope this helps :)

-by-step explanation:

Five times the sum of a number and 6 is 48

Answers

Answer:

3.6

Step-by-step explanation:

Step 1: Find out what 48 ÷ 5 is

9.6

Step 2: Subtract 6 from 9.6

3.6

Help me guys! This question is hard for me

Answers

Answer:

should be answer A

Step-by-step explanation:

Answer:

I'm pretty sure the answer is D

Step-by-step explanation:

it appears to be a reflection to the plane below it. and it is one of the only ones to remain its shape and stay rigid(the same)

Please help me to prove this!​

Answers

Answer:  see proof below

Step-by-step explanation:

Given: A + B + C = π              → A + B = π - C

                                              → B + C = π - A

                                              → C + A = π - B

                                              → C = π - (B +  C)

Use Sum to Product Identity:  cos A + cos B = 2 cos [(A + B)/2] · cos [(A - B)/2]

Use the Sum/Difference Identity: cos (A - B) = cos A · cos B + sin A · sin B

Use the Double Angle Identity: sin 2A = 2 sin A · cos A

Use the Cofunction Identity: cos (π/2 - A) = sin A

Proof LHS → Middle:

[tex]\text{LHS:}\qquad \qquad \cos \bigg(\dfrac{A}{2}\bigg)+\cos \bigg(\dfrac{B}{2}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)[/tex]

[tex]\text{Sum to Product:}\qquad 2\cos \bigg(\dfrac{\frac{A}{2}+\frac{B}{2}}{2}\bigg)\cdot \cos \bigg(\dfrac{\frac{A}{2}-\frac{B}{2}}{2}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)\\\\\\.\qquad \qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{C}{2}\bigg)[/tex]

[tex]\text{Given:}\qquad \quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{\pi -(A+B)}{2}\bigg)[/tex]

[tex]\text{Sum/Difference:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{A+B}{2}\bigg)[/tex]

[tex]\text{Double Angle:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{2(A+B)}{2(2)}\bigg)\\\\\\.\qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+2\sin \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A+B}{4}\bigg)[/tex]

[tex]\text{Factor:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[ \cos \bigg(\dfrac{A-B}{4}\bigg)+\sin \bigg(\dfrac{A+B}{4}\bigg)\bigg][/tex]

[tex]\text{Cofunction:}\quad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[ \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{\pi}{2}-\dfrac{A+B}{4}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{A-B}{4}\bigg)+\cos \bigg(\dfrac{2\pi-(A+B)}{4}\bigg)\bigg][/tex]

[tex]\text{Sum to Product:}\ 2\cos \bigg(\dfrac{A+B}{4}\bigg)\bigg[2 \cos \bigg(\dfrac{2\pi-2B}{2\cdot 4}\bigg)\cdot \cos \bigg(\dfrac{2A-2\pi}{2\cdot 4}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -A}{4}\bigg)[/tex]

[tex]\text{Given:}\qquad \qquad 4\cos \bigg(\dfrac{\pi -C}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -A}{4}\bigg)\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{\pi -A}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -C}{4}\bigg)[/tex]

LHS = Middle [tex]\checkmark[/tex]

Proof Middle → RHS:

[tex]\text{Middle:}\qquad 4\cos \bigg(\dfrac{\pi -A}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi-B}{4}\bigg)\cdot \cos \bigg(\dfrac{\pi -C}{4}\bigg)\\\\\\\text{Given:}\qquad \qquad 4\cos \bigg(\dfrac{B+C}{4}\bigg)\cdot \cos \bigg(\dfrac{C+A}{4}\bigg)\cdot \cos \bigg(\dfrac{A+B}{4}\bigg)\\\\\\.\qquad \qquad \qquad =4\cos \bigg(\dfrac{A+B}{4}\bigg)\cdot \cos \bigg(\dfrac{B+C}{4}\bigg)\cdot \cos \bigg(\dfrac{C+A}{4}\bigg)[/tex]

Middle = RHS [tex]\checkmark[/tex]

Don’t know the answer

Answers

Answer: The answer i think is A

Step-by-step explanation:45w stands for how much she paid each week, while 123.95 stands for a one time payment

This all should equal 753.95 which is how much they paid in total.

Help needed ASAP will give BRAINLIEST

Answers

Answer:

177.2 i think

Step-by-step explanation:

What is the value of 6x power of 2 when x=1.5

Answers

Answer:6x=

2=

X=1.5

Step-by-step explanation:

Point A is at (-7,5) and point M is at (0.4). Point M is the midpoint of point A and point B. What are the coordinates of point B?​

Answers

Answer:

The coordinates of point B is

( 7 , 3)

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

Let the coordinates of B be ( x , y)

From the question the midpoint is ( 0 , 4) and A is (-7 , 5)

So we have

[tex](0 \: , \: 4) = ( \frac{ - 7 + x}{2} , \: \frac{5 + y}{2} )[/tex]

Next we compare the x and y coordinates of the midpoint to the x and y coordinates on the right hand side to find the missing coordinates

That's we equate them

So we have

For x

[tex]0 = \frac{ - 7 + x}{2} \\ - 7 + x = 0 \\ \\ x = 7[/tex]

For y

[tex]4 = \frac{5 + y}{2} \\ 8 = 5 + y \\ y = 8 - 5 \\ \\ y = 3[/tex]

So we have

x = 7 , y = 3

So the coordinates of point B is

( 7 , 3)

Hope this helps you

Answer:

7,3

Step-by-step explanation:

For a dinner , a caterer charges $150 plus $19 per person. This function represents the relationship between n, the number of people at the dinnerand T(n) , the total cost. T(n) = 150 + 19n Determine the total cost, in dollars, for the caterer to serve dinner to 90 people

Answers

I may be wrong but I think it’s $1,860

0.001429 in scientific notation​

Answers

Answer:

1.429 × 10^-3

Step-by-step explanation:

since it's below 1, you're moving the decimal to the right, which makes the 3 negative.

If each interior angle of a regular polygon is 144 degrees. Find the number of sides in it.

Answers

Answer:

10

Step-by-step explanation:

In a polygon

interior angle + interior angle = 180°, thus

exterior angle = 180° - 144° = 36°

The sum of the exterior angles in a polygon = 360°, thus

number of sides = [tex]\frac{360}{36}[/tex] = 10

Answer:

10 sides

Step-by-step explanation:

A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440°.

Solve: 4(x-1)-3(3x-2)=12(x+2)

Answers

Answer:

4x - 4 -9x + 6 = 12x + 24

arrange like terms

-5x +2 = 12x + 24

or, -17x = 22

x = - 22/17

Answer:

4x-4-9x+6=12x+24

4x-12x-9x= 4-6+24

-17 x= 22

X= -22/17

mark it as brainliest!!!

Tell whether the blue figure is a translation of the red figure.
The blue figure !
I a translation of the red figure.

Answers

Answer:it is a translation

Step-by-step explanation:a translation is just a movement up down left or right not diagonal you’re just moving it up down left or right across the grid

Answer:

Yes

Step-by-step explanation:

Because a translation moves a shape up, down, or from side to side but it does not change its appearance in any other way. The translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated at the same distance in the same direction.

help me for brainliest

Answers

Answer:

              D = <-2, 10>

Step-by-step explanation:

Domain is from x to x.

You can use a ruler to determine it:

Put ruler perpendicular to X-axis at the left end. Move the ruler slowly along X-axis to the right.

When the ruler touch the graph there the x is the beginig of the domain.

Move along to the right. When the ruler touches end of graph there the x is end of the domain.

The filled dot means < >, and the empty dot means ( ).

what is p-9/3=2 what is p?

Answers

p-9/3 = 2

p-9 = 2×3

p-9 = 6

p = 6+9

p = 15

... Hope this will help...

Please help lol

Answer options:

A. (2.5,4)
B. (2,3)
C. (1.5,3)
D. (2,3.5)

Answers

It would be D (2, 3.5). Partitions in the ratio 1:1 means it cuts it in half basically.

what is an equation of the line that passes through the points (4,-6) and (8,-4)​

Answers

Answer:

[tex]y = \frac{1}{2} x - 8[/tex]

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

Using the gradient formula above,

[tex]m = \frac{ -4 - ( - 6)}{8 - 4} \\ m = \frac{ - 4 + 6}{4} \\ m = \frac{2}{4} \\ m = \frac{1}{2} [/tex]

Substitute the value of m into the equation:

y= ½x +c

To find the value of c, substitute a pair of coordinates.

When x=4, y= -6,

-6= ½(4) +c

-6= 2 +c

c= -6 -2 (-2 on both sides)

c= -8 (simplify)

Thus, the equation of the line is y= ½x -8.

state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation

Answers

Answer:

domain (-∞, ∞)range (-∞, 4]increasing (-∞, 0)decreasing (0, ∞)constant (only at x=0, not on any interval)

Step-by-step explanation:

The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).

The vertical extent of the graph includes y=4 and all numbers less than that:

  range: (-∞, 4]

The graph is increasing to the left of its vertex at x=0, decreasing to the right.

  increasing (-∞, 0); decreasing (0, ∞)

There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.

Is -4 greater than -4.25?

Answers

Answer:

Yes

Step-by-step explanation:

The smaller the negative number, the greater it is. i.e., -230 < -9.

Answer:

yes

Step-by-step explanation:

it is closer to zero on a number line, therefore the value of -4 is higher even though it's negative

write a calculation and a result that represents a number that is 5 greater than 3

Answers

Step-by-step explanation:

vt7vy7v fyy7ctyxt6zqDg gj

x²y + 2 xy² + 3x²y=?

Answers

Answer:

2xy(2x+y)

Step-by-step explanation:

xy(x+2y+3x)

By factoring the xy out you have to divide all term by xy giving you that :)

83.63 - 2.89 × (4.9 - 2.9)2 A. 72.07 B. 50.43 C. 1,046.56 D. 49.31 Please help

Answers

Answer:

A would be the anwser

Step-by-step explanation:

Answer:  A. 72.07

Step-by-step explanation: Plato

Certain cooking oil has a density of 0.91 grams per milliliter. Which of the following series of calculations correctly determines the mass, in kilograms, of 15 liters of this oil?

Answers

Answer:

Step-by-step explanation:

Here is a picture of the answer, since I couldn't put into words!

The mass of 15 liters of oil is 13.65 kg.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

What is the density?

Density is the ratio of the mass of the body to the volume of the body.

Density = Mass / Volume

Given that oil has a density of 0.91 grams per milliliter

To determines the mass, in kilograms, of 15 liters of this oil

Rearranging the equation,

Mass = Density × Volume

∵ 15 liters = 15000 milliliters (ml)

So, 0.91g/ml x 15000ml = 13650g

∵ 1 kilogram = 1000grams

⇒ 13650g / 1000g/kg

⇒ 13.65kg

Thus, the mass of 15 liters of oil is 13.65kg.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

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