Given a triangle MTN, prove that
<m+<t+<n= 180° strictly
use m, T and N with other
Letters in your triangle.​

Answers

Answer 1

Answer:

[tex]\angle m + \angle t + \angle n = 180[/tex]

Step-by-step explanation:

Required

Show that:

[tex]\angle m + \angle t + \angle n = 180^o[/tex]

To make the proof easier, I've added a screenshot of the triangle.

We make use of alternate angles to complete the proof.

In the attached triangle, the two angles beside [tex]\angle m[/tex] are alternate to [tex]\angle t[/tex] and [tex]\angle n[/tex]

i.e.

[tex]\angle 1 = \angle t[/tex]

[tex]\angle 2 = \angle n[/tex]

Using angle on a straight line theorem, we have:

[tex]\angle 1 + \angle m + \angle 2 = 180[/tex]

Substitute values for (1) and (2)

[tex]\angle t + \angle m + \angle n = 180[/tex]

Rewrite as:

[tex]\angle m + \angle t + \angle n = 180[/tex] -- proved

Given A Triangle MTN, Prove That&lt;m+&lt;t+&lt;n= 180 Strictlyuse M, T And N With OtherLetters In Your

Related Questions

Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee.

Which inequalities can represent this situation if m is the number of songs he can buy? Select two options.
1 + 1.5 m less-than-or-equal-to 25

Answers

Answer:

A, E or 1, 5

Step-by-step explanation:

Its not A, D

Somebody can help me please

Answers

It’s 25. Plug -2 into g, which is -5. Then plug -5 into f, which is 25.

16. Sandra is choosing an Internet service provider.
• Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used.
• Communication Plus costs $2.50 for every hour of Internet used.
a. Create an equation to represent the cost of using the internet with each company. (2 marks) Let C represent the cost of using internet in any month.
Let t represent the number of hours used.

Answers

Answer: See explanation

Step-by-step explanation:

Since Smart Dot Company costs $12 per month plus $0.50 for each hour of Internet used, the equation to represent the cost of using the internet with them will be:

C = 12 + 0.5t

Since Communication Plus costs $2.50 for every hour of Internet used, the equation to represent the cost of using the internet with them will be:

C = 2.5t

I don’t know if this is enough but please help me

Answers

Answer:

1 A

2c

3B

4f

do not use the last one f(X)=x

Step-by-step explanation:

plz answer quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]144\pi[/tex]cm

multiple 24 pi with 6 on a scientific calculator.

Answer:

4pi

Step-by-step explanation:

that is the procedure above

if x^2=y^2+z^2

what does x equal?

Answers

Answer:

[tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Property

Algebra i

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle x^2 = y^2 + z^2[/tex]

Step 2: Solve for x

[Equality Property] Square root both sides:                                                    [tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]

The sum of two numbers is nine. Using x to represent the larger of the two numbers, translate "the difference between one more than the larger number and twice the smaller number" then simplify.

Answers

Answer:

We have that the sum of two numbers  is 9

this can be written as:

x + y  = 9

where x is the larger number.

Now we want to write:

"the difference between one more than the larger number and twice the smaller number"

First, remember that the difference between A and B is:

A - B

Then "the difference between one more than the larger number and twice the smaller number"

is:

"one more than the larger number" = ( x + 1)

"twice the smaller number" = 2*y

the difference between these is:

(x + 1) - 2*y

Now we can simplify:

We know that:

x + y = 9

then:

y = 9 - x

replacing that in the equation:

(x + 1) - 2*y

we would get:

x + 1 - 2*(9 - x)

x + 1  -18 + 2x

(x + 2x) + (1 - 18)

3x - 17

This means that we can write:

"the difference between one more than the larger number and twice the smaller number"

as: 3x - 17

The area under the standard normal curve to the right of z = -0.51 is 0.6950. What is the area to the left of z = 0.51?

Answers

Answer:

0.305

Step-by-step explanation:

We are told that area under the standard normal curve to the right of z = -0.51 is 0.6950

Thus, to get the area to the left, we just subtract 0.6950 from 1.

Thus;

area to the left of z = 0.51 is;

P( z < 0.51) = 1 - 0.6950 = 0.305

Find the value of x.

Answers

Answer:

x = 110°

Step-by-step explanation:

The Outside Angle Theorem states that the measure of the angle formed by two secants or a secant and tangent from a point outside of a circle is half the difference between the two arcs.

This means that ½ (210 – x) = 50.

½ ( 210 – x ) × 2 = 50 × 2

210 – x = 100.

210 – x + x = 100 + x.

210 = 100 + x.

100 + x = 210.

100 + x – 100 = 210 – 100.

x = 110.

This value must be true because:

½ ( 210 – 110 ) = 50.

½ ( 100 ) = 50.

50 = 50.

please help!!!! i need it in this instant!!!

Answers

Answer: 14

Step-by-step explanation:

If they hit the ball 4/8 times, that equals 1/2, so we just multiply 1/2 (or 0.5) by 28 and you get 14 :)

14 is your answer!
Hope this helps!!!!!

What is the recursive rule for this geometric sequence? 7, 21, 63, 189,…

1. a1 = 7;an = 3 • an - 1
2. a1 = 7;an = 1/3 • an - 1
3. a1 = 3;an = 7 • an - 1
4. a1 = 21;an = 7 • an - 1

Answers

Answer:

The top choice is the answer. a1=7; an= 3*a_(n-1)

Step-by-step explanation:

Begin by finding out what the terms are multiplied by. It is a geometric sequence so multiplication is involved.

Take the 3rd term (63) and divide it by the second term.

63/21 = 3

What this means is that each term in the sequence is multiplied by 3 to get to the next term.

The first term is 7

So the answer is an = 3* a_n-1

The answer must be the top one. See if it works.

a2 = 3*a_(2 -1 )

a2 = 3 * a1

a2 = 3 * 7

a2 = 21 which it does.

Select all that apply to the following statement. There is a LOW correlation between cheating and final grades in Math256. Group of answer choices Correlation requires both variables to be either qualitative or quantitative. The correlation has no unit of measurement; it is just a number. The correlation must specify which is the explanatory variable and which is the response variable Correlation requires both variables to be quantitative

Answers

Answer:

The correlation has no unit of measurement; it is just a number.

Correlation requires both variables to be quantitative.

Step-by-step explanation:

Correlation refers to the measure of the relationship between two variables. The correlation between two variables is measured using the correlation Coefficient which may take any value between - 1 and 1 ; the closer the correlation Coefficient is to either 1 or - 1, the greater the relationship with negative depicting a negative association and positive depicting a positive relationship between the variables. The correlation Coefficient requires that both variables are numeric (quantitative). The correlation Coefficient has no unit of measurement.

Please answer before 2:30!!!
There are 189 apples in a basket. How many children can share them equally?
List all numbers that apply.

Answers

For the equal distribution each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple.

What is equal distribution?

The distribution of a something in a way that each will get same amount.

How 189 can be divided equally?

If the distribution is equally then each child should take, either 1 or 2 or 3 an so on means same amount.

For this we will check that 189 is divisible by which numbers.

Now we can see that 189 is divisible by 1, 3, 7, 9, 21, 27, 63, 189. It is clear that each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple then the distribution will be equal means every child will have same amount of apple.

Therefore, the correct answer is 1, 3, 7, 9, 21, 27, 63, 189.

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What is the shaded area of the figure?

Answers

Answer:

Step-by-step explanation:

The idea here is to find the area of the circle and then subtract from it the area of the triangle. That will give you the area of what's left in the circle (the shaded part). The area of a circle is:

[tex]A_c=\pi r^2[/tex] so

[tex]A_c=(3.14)(12.4)^2[/tex]   where 12.4 is the radius.

[tex]A_c=482.81[/tex] rounded to the nearest tenth. I used 3.14 for pi.

Now for the area of the triangle. The formula is

[tex]A_t=\frac{1}{2}bh[/tex] where h is the height of 12.4 and the base is the diameter which is 12.4 * 2 = 24.8

[tex]A_t=\frac{1}{2}(24.8)(12.4)[/tex] so

[tex]A_t=153.76[/tex]

Now subtract the triangle's area from the circle's area:

482.81 - 153.76 = 329.05 mm²

PLZ HELP ME I NEED TO GET THIS RIGHT 20 POINTS


1.) the table shows the weight in kilograms of 10 players on a college basketball team.

Weight (kg)
[54, 52, 65, 63, 62, 60, 58, 53, 51, 50]

Which statement is NOT true about this data?

A.) the median is one of the values listed in the table
B.) the mode of the data is 60
C.) the mean is less than the median
D.) the data set had no matter



2.) This table shows the amount of money in dollars that a group of seventh grade students spend on food each day.

Carol=2
Anna=3
Sophie=11
Tom=3
Jackie=1

Which measure of central tendency is most affected by the amount of money that Sophie spends?

A.) the median only
B.) the mean only
C.) the mode only
D.) the mean and the median


3.) This table shows the results of a survey that asked a group of people what time of day their favorite tv show aired.

5:00=3
6:00=5
7:00=10
8:00=21
9:00=25
10:00=15
11:00=12

What time corresponds to the mode of this set of data?

A.) 8:00 pm
B.) 9:00 pm
C.) 10:00 pm
D.) 11:00 pm​

Answers

Answer:

A, B, B

Step-by-step explanation:

1) A. The median is 56. There are two middle values 54 & 58. Add them together Snd divide by 2 = 56. 56 is is not of the listed values.

2) B. The mean or Adding all numbers together and dividing by total number of added digits is most affected by that much higher number. The mode, or most repeated number, is unaffected completely. As is the middle or median number in the list going from lowest to highest.

3). B. 9:00 pm is the most repeated survey result. Simple as that.

Identifying linear pairs and vertical angles

Answers

Answer:

(a) <7 and <8

(b) <3 and <8

(c) <6 and <1

Step-by-step explanation:

There are multiple different answers for each of the questions but these are the ones I chose.

(a) A linear pair is two adjacent angles that intersect and form a straight or 180-degree angle. This means that the angles are supplementary. Since angles 7 and 8 make a straight line on line n, they must be a linear pair.

(b) Vertical angles are two angles opposite of each other that share a vertex. Angles 3 and 8 are opposite of each other, made of the same lines, and share a vertex. This makes them vertical angles and congruent.

(c) As aforementioned, vertical angles are congruent. So, any vertical angles listed could answer this question. For example, angles 6 and 1 are vertical angles, and therefore congruent.

Find the slope of the line that passes through (7, 2) and (9, 9).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

the slope is m=7/2

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

what is the y coordinate of the solution​

Answers

The answer for this is y= 5

Answer:

Y = -5

Step-by-step explanation:

2x - 3x+ 26 = 19

X = 7

Y = -5

4. Which expression is a simplified form of -5(8x)?
a. 40x
b. -40%
C. 3x
d. -40x?

Answers

Answer:

Option d

Step-by-step explanation:

-5(8x)

= -5×8×x

= -40x

Answered by GAUTHMATH

One angle of a triangle is 22^0. What is the measurement (in degrees) of the corresponding angle in a similar triangle?

Answers

Answer:

22 degrees

Step-by-step explanation:

Corresponding angles in similar triangles are equal

So the corresponding angle would be 22 degrees

A ski rental service charges a $12.50 initial
flat rate and then an additional $1.00 per
hour. In this situation, what is the value of
the slope?

Answers

Answer:

1

Step-by-step explanation:

In this situation, the slope is 1.

This is because the ski rental service charges $1 per hour.

The $12.50 initial flat rate represents the y intercept, while the hourly charge is the slope.

So, the value of the slope is 1.

What is the media and explain why.

Answers

Answer:

26

Step-by-step explanation:

Set N: 6, 7 , 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

The median of set N is 14

Since the median of Set N is the lowest number of set L, it would look like this

Set: L: 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38

The median of Set L is 26

In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.
Find the common difference. Give only the exact value as your answer.

Answers

Answer:

d = 4

Step-by-step explanation:

a7 = -9

a19 = 39

We know the formula for an arithmetic sequence is

an = a1+d(n-1)

Using the givens:

a7 = -9 = a1 +d(7-1)

a19 = 39 =a1 +d(19-1)

Subtracting these equations

-9 = a1 +d(6)

39 =a1 +d(18)

------------------------

-48 = 0 -12 d

Divide by -12

4 =d

Can someone help me on this

Answers

Answer:

d

Step-by-step explanation:

Your patient weighs 15 kg and is scheduled for to have an abdominal exploratory. You are instructed to provide 0.9% sodium chloride IV at a rate of 30ml/kg/hr. What will be the fluid rate be for your IV pump?

Answers

Answer:

[tex]V_f=450ml/hr[/tex]

Step-by-step explanation:

From the question we are told that:

Mass [tex]m=15kg[/tex]

Amount of NaCl IV [tex]n=0.9\%[/tex]

Rate [tex]R=30ml/kg/hr[/tex]

Generally the equation for fluid rate be for your IV pump is mathematically given by

[tex]V_f=mR[/tex]

Since

Rate is

30ml/kg/hr at 1kg patient Weight

Therefore

[tex]V_f=15*30[/tex]

[tex]V_f=450ml/hr[/tex]

PLS HELP. write as an expression. thank you:)

Answers

Answer:

[tex]x^{\frac{3}{2} } p^{6}[/tex]

Step-by-step explanation:

Find the value of x-8 when x=16.

Answers

Answer:

8

Step-by-step explanation:

x=16

x(16)-8=8

The answer is 8, plug in 16 for x (16)-8=8

Find the area of the quadrilateral.

Answers

Answer:

12cm^2

Step-by-step explanation:

The first thing we want to do is find out what type of quadrilateral is shown so we can identify a formula we can use to solve for the area

The quadrilateral shown is a trapezoid

It's a trapezoid because it has four sides and one pair of parallel sides ( side AD and side BC are both formed vertically making them parallel as they can be extended an infinite length and will never intersect. ) This being the properties of a trapezoid

Now that we have identified the type of quadrilateral that the figure is, let's find the area.

Area of a trapezoid formula:

A = (a+b/2)h

Where a and b = bases and h = height

* Identify variable of quadrilateral shown*

( Note that each unit = 1cm )

The bases have lengths of 4 units (4cm) and 2 units (2cm)

The height can be represented by an imaginary line from a to c

From a to c is 4 units (4cm)

Now that we have identified the variables let's plug them into the formula

A = (a+b/2)h

a = 4

b = 2

h = 4

* Plug the variables into the formula *

A = (4+2)/(2)4

If you plug this into a calculator you get that the area is 12

If you need the work for evaluation here it is:

Evaluate using PEMDAS

Parenthesis

Exponents

Multiplication and Division ( left to right)

Addition and Subtraction ( left to right )

(4+2)/2 * 4

First step is to evaluate the operations inside of the parenthesis (4+2)

6/2 * 4

The next step is to evaluate exponents

There are no exponents so we move on to multiplication and division evaluate whatever come first going left to right

First comes division

3 * 4

Then multiplication

A = 12.

Pepe and Leo deposit money into their savings accounts at the end of each
month. The table shows the account balances.
If their patterns of saving continue, and neither earns interest nor withdraws
any of the money, how will the balances compare after a very long time?

Answers

Pepe's balance will be greater as it is increasing exponentially while Leo's is increasing linearly

(see graph, where red is Pepe and blue is Leo)

Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]

where a is a constant and a>1

We have:

Pepe and Leo deposit money into their savings accounts at the end of each month.

From the table, we can plot a graph on a coordinate plane.

As we can see in the graph:

Because Pepe's balance is growing exponentially and Leo's is growing linearly, it will be bigger.

Thus, Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

Learn more about the exponential function here:

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The value of a two digit number whose units digit is u and the sum of the digits is 7
write an algebraic expression

Answers

Answer:

The expression is 70 - 9 u .

Step-by-step explanation:

Digit at ones place = u

Let the digit at tens place is y.

Sum of the digits is 7.

y + u = 7

y = 7 - u

So, the number is

10 y + u

= 10 (7 - u) + u

= 70 - 10 u + u

= 70 - 9 u

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