Drag and drop an answer to each box to correctly complete the proof.

Given: m | n m 1 = 50 m 2 = 48°, and line s bisects ABC

Prove: m/3

49°

It is given that m | n m

1 = 50 m

2

- 48° and fine s bisects

ABC By the

m/DEF = 989 Because

angles formed by two parallel lines and a transversal are congruent

DEF

A BC

SO MZABC 98 By the

angles 4 and 5 are congruent

and m

4 is half m

ABC So the measure of in24_49 Because vertical angles

Answers

Answer 1

Answer:

Step-by-step explanation:

The correct question is shown in the image attached below.

Recall that: the line m is parallel to line n. In addition to that, [tex]m \angle 1 = 50^0[/tex] and [tex]m \angle 2 = 48^0[/tex], and [tex]\angle ABC[/tex] is bisected by line s.

At this moment, by the angle addition postulate, angle DEF i.e.

∠DEF [tex]= m \angle 1 + m \angle 2[/tex]

∠DEF = 50° + 48°

∠DEF = 98°

Similarly, using the rule of the alternate exterior angle ∠DEF = ∠ABC (∵ alternate exterior angles exhibit congruency).

Furthermore, By the definition of a bisector, angles 4 and 5 are congruent due to the fact that the line of a bisector splits the angle into two equal parts.

m∠4 = m∠5

98/2 = 49°

Finally;

from the diagram, angle 3 and 4 are vertical angles

Thus, m∠3 = 49 by substitution property of equality ( because vertical angles are congruent angles).

Drag And Drop An Answer To Each Box To Correctly Complete The Proof.Given: M | N M 1 = 50 M 2 = 48, And

Related Questions

How many terms are in this expression?
9+ 8d+b

Answers

3

terms are separated by operations

__ 62, 82, 102, __, 142, 162, 182, __, 222 fill in the blanks

Answers

Answer:

42, 122, 202,

Step-by-step explanation:

.................

Answer:

42, 122, 202

Step-by-step explanation:

The sequence is going up by 20s.

7. A shirt marked at $600 is sold at 30% off.
(a) Find the selling price of the shirt.
(b) If the shirt is sold at a profit of 5%, find the cost pric​

Answers

Answer:

a) $420 b) $399

Step-by-step explanation:

a) $600 = 100%

$60 = 10%

$60 times 3 gives 30% = $180

$600 - $180 = $420

b) $420 = 100%

$42 = 10%

$21 = 5%

this means, they profitted by $21.

so $420 - $21 = $399

therefore, $399 is the cost price

suppose that the function g is defined on the interval (-2, 2] as follows.​

Answers

Answer:

We conclude that:

g(-1) = -1g(-0.25) = 0g(2) = 2

Step-by-step explanation:

From the given function g(x)

g(x) =   -1   if -2 < x ≤ -1

           0   if  -1 < x ≤ 0

            1    if  0 < x ≤ 1

            2   if  1 < x ≤ 2

 

When x = -1, then the correct value of g(-1) will be:

g(-1) = -1

The reason is that the output value of -1 includes the value of x = -1 in the interval, as  -1  if -2 < x ≤ -1 .

When x = -0.25, then the correct value of g(-0.25) will be:

g(-0.25) = 0

The reason is that the output value of 0 includes the value of x = -0.25 in the interval, as  0   if  -1 < x ≤ 0

When x = 2, then the correct value of g(2) will be:

g(2) = 2

The reason is that the output value of 2 includes the value of x = 2 in the interval, as 2   if  1 < x ≤ 2.

Therefore we conclude that:

g(-1) = -1g(-0.25) = 0g(2) = 2

There were 9 dogs and 15 cats. Write the ratio of dogs to cats in simplest form.

Answers

3:5 . I hope it helped

A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet is 2 feet wide. What is the area of the reduced carpet? 6 square feet 12 square feet 24 square feet 48 square feet

Answers

The answer is 6 square feet

3/5 of the 60 questions multiple-choice how many of the 60 questions are multiple-choice questions were not multiple-choice

Answers

Answer: 36 are multiple choice and 24 are not

Step-by-step explanation:

Multiply 60 by 3/5

You get 36

Subtract 60 by 36

24 are not multiple choice and 36 are

Answer:19 or 15 questions

Step-by-step explanation:

SOLVE FOR X please help !!!!!!!!!!!

Answers

think of it as half a circle which all equals up to 180 degrees

subtract 180 degrees with 62 degrees which 62 degrees is in the problem.

180-62=118 degrees

so your answer is C) 118 degrees

hope that helped you out:)

Please mark my answer brainiest

Please Help Me!!!!!!​

Answers

Answer:

b

the only y values the lines touch are from zero to eight.

Step-by-step explanation:

Grayson is drawing a two dimensional shape and its dilation in a coordinate plane. Which attribute of this
shape will remain unchanged?

Answers

Answer:

area

Step-by-step explanation:

True or False: Only fractions with a denominator greater than the numerator can be converted to a decimal.

Answers

Answer:

False!!

Step-by-step explanation:

You can turn any fraction into a decimal! Correct me if I'm wrong!

Answer:

false

Step-by-step explanation:

Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?

Answers

i believe your answer would be c

5/8y² - 1 1/2y² + 3 =?​

Answers

Answer:

-7/8y²+3

Step-by-step explanation:

It seems like we are just combining like terms here. Like terms have the same variable raised to the same power. We have three terms here: two of them are y² terms and one is just a 3, so we can combine those two like terms and then just add 3.

5/8y²-3/2y²= -7/8y²

Now we just plop the three on the end and we're done!

-7/8y²+3

Have a wonderful day!

.A salesperson is paid $10 per week plus $8 per sale. This week, the salesperson wants to earn at least $250. Which inequality represents the number of sales, s, the salesperson must make in order to meet that goal?

Answers

Given:

A salesperson is paid $10 per week plus $8 per sale.

This week, the salesperson wants to earn at least $250.

To find:

The inequality represents the number of sales, s, the salesperson must make in order to meet that goal.

Solution:

Let s be the number of sales.

Fixed earnings = $10 per week

Earning on 1 sale = $8

Earnings on s sales = $8s

Total earnings = Fixed earnings + Additional earnings of sale

[tex]\text{Total earnings}=10+8s[/tex]

This week, the salesperson wants to earn at least $250. It means, total earning must be greater than or equal to 250.

[tex]10+8s\geq 250[/tex]

[tex]8s\geq 250-10[/tex]

[tex]8s\geq 240[/tex]

Divide both sides by 8.

[tex]s\geq 30[/tex]

Therefore, the inequality [tex]s\geq 30[/tex] represents the number of sales, s, the salesperson must make in order to meet that goal.


Charlotte drives 7.6 miles round trip to work every day. How many miles does she drive to
and from work in 9 days?

Answers

Answer:

68.4 miles

Step-by-step explanation:

7.6 * 9 = 68.4

Translate and solve:
the product of -2.75 and p is the same as -19.25

Answers listed:
16.5
-22
30
7

Answers

Given,

[tex] - 2.75p = - 19.25[/tex]

[tex]p = \frac{ - 19.25}{ - 2.75} [/tex]

[tex]p = \frac{19.25}{2.75} [/tex]

[tex]p = 7[/tex]

What is 0.87 as a simplified fraction?

Answers

Answer:

87/100

Step-by-step explanation:

Answer:

It already is

Step-by-step explanation:

In order to write 0.87 as a fraction in simplest form is very simple. 0.87 is in the hundredths place, so the denominator will be 100 and the numerator will be 87. 87/100 is our new fraction, however it is already in simplest form.

(I'm not sure if this is true)

How many different squares can be formed by using four of the evenly spaced dots shown as vertices of the square?

Plz quickly!!

Answers

Answer:

I Believe Its Eight Squares

There are 450 triangles, we can pick that do not form an equilateral triangles when 15 dots are evenly spaced on the circumference of a circle.

What is equilateral triangle?

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle.

here, we have,

Let's calculate the total no. of possible triangles, it depends on the combination. To make a triangle, we have to choose 3 dots out of 15.

Here, we will use the combination rule to find out the possible triangles,

Thus, the total number of possible triangles = 15C3                                                                      = (15.14.13) / (1.2.3) = 455

Note that an equilateral triangle would be formed by connecting 3 equally spaced dots.

For an equilateral triangle, out of 15 dots, there would be 15 - 3 = 12 dots that will not be connected.

And 12/3 = 4 dots would be between any two connecting dots.

Taking 1st connecting dot, the second connecting dot would be

1 + 4 + 1 = 6th

Similarly, the third connecting dot would be 6 + 4 + 1 = 11th

So, the following connecting dots will form equilateral triangles: (1, 6, 11); (2, 7, 12); (3, 8, 13); (4, 9, 14); (5, 10, 15);

After applying the combination rule we found the total number of the possible triangle and there are 5 equilateral triangles:

So, there are 455 - 5 = 450 triangles that are not equilateral triangles.

Learn more about equilateral triangles:

brainly.com/question/19692242

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Complete question;

fifteen dots are evenly spaced on the circumference of a circle. how many combinations of three dots can we pick from these 15 that do not form an equilateral triangle?

Suppose that the function g is defined, for all real number, as follows.​

Answers

Answer:

g(-3) = [tex]\frac{17}{4}[/tex]

g(2) = -3

g(5) = [tex]-\frac{7}{4}[/tex]

Step-by-step explanation:

Let us solve the question

∵ g(x) = [tex]-\frac{3}{4}[/tex] x + 2, x ≠ 2

→ That means we can use it for any value os x except 2

∵ g(x) = -3, x = 2

→ That means we will use it only if x = 2

We want to find g(-3)

x = -3 ⇒ ≠ 2

∴ We will use g(x) = [tex]-\frac{3}{4}[/tex] x + 2

→ Substitute x by -3

∵ g(-3) =  [tex]-\frac{3}{4}[/tex] (-3) + 2

∴ g(-3) =  [tex]\frac{9}{4}[/tex]  + 2

g(-3) = [tex]\frac{17}{4}[/tex]

We want to find g(2)

x = 2

∴ We will use g(x) = -3

→ This is a constant function which means g(2) equal to -3

g(2) = -3

We want to find g(5)

x = 5 ⇒ ≠ 2

∴ We will use g(x) = [tex]-\frac{3}{4}[/tex] x + 2

→ Substitute x by 5

∵ g(5) =  [tex]-\frac{3}{4}[/tex] (5) + 2

∴ g(5) =  [tex]-\frac{15}{4}[/tex]  + 2

g(5) = [tex]-\frac{7}{4}[/tex]

11/12 - 7/8 in fraction pls help

Answers

Answer:

1/24

Step-by-step explanation:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 11 by 8, and get 88.Then we multiply 7 by 12, and get 84.

Next we give both terms new denominators -- 12 × 8 = 96.

So now our fractions look like this:

88 /96 -84 /96

Step 2

Since our denominators match, we can subtract the numerators.

88 − 84 = 4

So the answer is:

4 /96

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:            

4 /96 ÷ 2 =2 /48

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

2 /48 ÷ 2 =1 /24

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.                                    There you have it! The final answer is:

11 /12 -7 /8=1 /24

Answer:

1/24

Step-by-step explanation:

Given function:

11/12-7/8

Simplifly the denominator:

[tex]\frac{11}{12}=\frac{88}{96}[/tex] [tex]\frac{7}{8}=\frac{84}{96}[/tex]

Subtract the fraction term:

[tex]\frac{88}{96}-\frac{84}{96}=\frac{4}{96}[/tex]

Simplifly the fraction term:

[tex]\frac{4}{96}=\frac{1}{24}[/tex]

Therefore, 11/12-7/8=1/24.

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? f(x) = (x3 – 3x + 1)2 2 roots 3 roots 6 roots 9 roots

Answers

Answer:

The answer is C

Step-by-step explanation:

The roots are −1.87938524, 0.34729635, 1.53208888, −1.87938524, 0.34729635, and  1.53208888. That's 6 roots, which is C.

According to the Fundamental Theorem of Algebra, 6 roots exist for the polynomial function.

What is the fundamental Theorem of Algebra?

Fundamental Theorem of Algebra states that every polynomial equation of degree n with complex number coefficients has n roots, or solutions, in the complex numbers. The roots can have a multiplicity greater than zero.

Given polynomial function

[tex]f(x)=(x^{3}-3x+1 )^{2}[/tex]

It has [tex](x^{3} )^{2}[/tex] term in the given polynomial

The fundamental theorem of algebra guarantees that a polynomial equation has the same number of roots as its degree.

= 3 × 2

= 6

So, 6 roots exist for the polynomial function.

Find out more information about Fundamental Theorem of Algebra here

https://brainly.com/question/14329577

#SPJ3

Which function represents the graph below?

Answers

b
explaination - cause I jus kno





An egg was dropped from a 36 foot ladder and took 2.4 seconds to hit the ground. How many feet did the egg travel in 1.5 seconds?

Answers

Answer:

22,5 ft

Step-by-step explanation:

36÷2,4×1,5=22,5

What integer represents a decrease of 5 degrees?

Answers

Answer:

-5

Step-by-step explanation:

integer is just a whole number that is not a decimal if decrease 5, its -5

Answer:

-5

Step-by-step explanation:

decrease is negative

hope this helps, pls marks brainliest :D

What is the solution of StartRoot negative 4 x EndRoot = 100?

Answers

Answer:

x=-2500

Step-by-step explanation:

[tex]\sqrt{-4x} =100\\\\(\sqrt{-4x})^2=100^2\\\\-4x=10,000\\\\x=-\frac{10000}{4}\\\\x=-2500[/tex]

The given can be solved by simplifying the equation to make x the subject

of the equation.

The solution of the equation is x = -2,500

Reasons:

The equation is; √(-4·x) = 100

The above equation can be expressed as follows;

[tex]\displaystyle \sqrt{-4 \cdot x} = \left(-4 \cdot x \right)^{\frac{1}{2} } = \mathbf{100}[/tex]

By squaring both sides, we get;

[tex]\displaystyle \mathbf{ \left(-4 \cdot x \right)^{\frac{1}{2} \times 2 }} = 100^2[/tex]

Which gives;

[tex]\displaystyle \left(-4 \cdot x \right)^{\frac{1}{2} \times 2 } = \left(-4 \cdot x \right)^{1 }= -4 \cdot x = 100^2[/tex]

[tex]\displaystyle -4 \cdot x = 100^2 = 100 \times 100 = \mathbf{10,000}[/tex]

[tex]\displaystyle -4 \cdot x = 10,000[/tex]

Dividing both sides by -4 gives;

[tex]\displaystyle x = \mathbf{ \frac{10,000}{-4} } = -2,500[/tex]

Therefore'

x = -2,500

The solution of the equation √(-4·x) = 100 is; x = -2,500

Learn more about solving equations here:

https://brainly.com/question/7187454

What ever link you send me i will open and mark brainlest

Answers

Answer:

ok

Princess_Anyla/nka8iza0q6lm8dm1

Step-by-step explanation:

Write an expression to represent the original tiles then simplify.
A. 2x + (-2x) + 4 + (-3) = ?

B. Original version = simplified version

(Look above for picture)

Answers

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Tim's family was collecting aluminum cans to recycle. They found out that they would get two.cents for every three cans they collected. If they collected 2,187 cans, how much money did they receive?​

Answers

Tim’s family would receive $1093.

please explain thanks

Answers

Answer:

[tex]\large\boxed{\pink{\sf \leadsto Value \ of \ LM \ is \ 11 \ units . }}[/tex]

Step-by-step explanation:

A figure is given to us in which we can see two triangles one is ∆ MPL and other is ∆MPN .

Figure :-

[tex]\setlength{\unitlength}{1 cm}\begin{picture}(12,12)\linethickness{0.25mm}\put(0,0){\line(1,2){2}} \put(0.001,0){\line(1,0){4}}\put(2,0){\vector(0,1){5}}\put(4,0){\line( - 1,2){2}}\put(0,-0.4){$\bf L $}\put(2,-0.4){$\bf P$}\put(4,-0.4){$\bf N $}\put(2.2,4){$\bf M $}\put(2.8, - .4){$\bf 5 $}\put(1, - .4){$\bf 5 $}\put(3.4, 2){$\bf 11 $}\put(2.3,0){\line(0,1){.3}}\put(2.3,.3){\line( - 1,0){.3}}\end{picture}[/tex]

[tex]\underline{\blue{\sf In\: \triangle MPL \ \& \ \triangle MPN :- }}[/tex]

[tex]\qquad \bullet LP = PN = 5 \:\:(given) \\\\\qquad \bullet MP = MP \:\:(Common) \\\\\qquad \bullet \angle MPN = \angle MPL = 90^{\circ} \:\: (given) [/tex]

Hence by SAS congruence condition ,

[tex]\orange{\bf \triangle MPL \cong \triangle MPN }[/tex]

Hence by cpct ( Corresponding parts of congruent triangles ) we can say that , LM = NM = 11 units .

Hence the value of LM is 11 units .

Graph the system of linear equations.
-1/2y=1/2x+ 5 and y = 2x + 2.
The solution to the system i

Answers

Answer:

Hi, the answer should be (-4,-6)

Step-by-step explanation:

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