Mathematics High School

2) Given: lines a and b are parallel
Prove: m<1 = m<8

2) Given: Lines A And B Are ParallelProve: M&lt;1 = M&lt;8

Answers

Answer 1

Explanation:

* Demonstrate that the related angles are the same.

* Demonstrate that different interior angles are equivalent.

* Demonstrate the adjacent interior angles are supplementary.

* Demonstrate the adjacent external angles are not mutually exclusive.

* Show that the lines in a plane are perpendicular to the same axis.

<1 and <8 are the same because they are alternate exterior angles that means that they are

Opposite sides of the transversal.

And that they are on the exterior side of the parallel lines.

Now because of that they have the same measures no matter what so would

<2 and <7

<3 and <6

<4 and <5

Related Questions

Susan is also selling brownies. Her profit for x brownies is shown in the table below. If she uses the function y = mx + b to represent her profit, what is the parameter "m" in context?

Brownies Sold Profit
3 $6
5 $10
11 $22

A. m=6 and it represents her profit after selling 0 brownies
B. m=2 and it represents the amount she charges per brownies
C. m=2 and it represents her profit after selling 0 brownies
D. m=6 and it represents the amount she charges per brownies

Answers

Answer:

aaaaaaaaaaaaaaa

Step-by-step explanation:

*6 sided die*
*Bag with 2 red marbles, 2 yellow, 2 green, 1 blue, and 1 purple*

A die is rolled and marble is selected from the bag shown. Find each probability.
HINT: These events are independent.

a) P(even number and yellow) = ___
1. 1/8
2. 5/14
3. 1/14
4. 1/16

b) P(odd number and not green) = ___
1. 5/14
2. 3/8
3. 1/8
4. 9/14

c) P(1 and red) = ___

d) P(3 and purple) = ___

PLEASE HELP!!

Answers

Answer:

Step-by-step explanation:

P(even + yellow)

P(even) = 3/6 (2 , 4,  6)

P(yellow) = 2/8

P(both) = 3/6 * 2/8

P(both) = 1/2 * 1/4

P(both) = 1/8

Odd number = 3/6

Not green = 6/8

P(Both) = 1/2 * 3/4 = 3/8

P{1 and red )

P(1) = 1/6

P(red) = 2/8

P(Both) = 1/6 * 1/4 = 1/24

P(3) = 1/6

P(Purple) = 1/8

P(both) = 1/6 * 1/8 = 1/48

What is the probability of spinning a number greater than 4 or an odd number?

Answers

Answer:

3/5 will be greater than 4 while 1/2 will be an odd number.

Directions: Find the odds and the probability of the event(s) occuring.
There are six boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different
student to answer another question. The
first student is a boy and the second
student is a girl.
P(boy then girl) =
Odds =

Answers

Answer:

12/49

Step-by-step explanation:

Which of the following rational numbers is closest to V7 ?
2.1
2.5
2.6
3.5

Answers

2.6

Explanation:

The square root of 7 is 2.6 .
It is 2.6 I took the test already and got 100

Help out aaaaaaaaaaaaa

Answers

Answer:

y= -x

Step-by-step explanation:

same deal

-x+b=y

5= -(-5)+b

5= 5+b

b=0

The answer is y= -x
Hope this helps :)

1. The list below shows the ages of the first 20 customers at a new computer game store,
plan to a
knowled
and Prob
course ai
6, 7, 9, 10, 14, 15, 16, 17, 20, 26, 26, 29, 31, 34, 35, 38, 40, 51, 59, 67
a) Decide what class intervals to use, and then create a frequency table for the ages. (4 points: 2
points for intervals, 2 points for frequencies)
Help w
212 V
the ve
proce
book
statis
Try!
proy
look
para
Exto
Age
Frequency

Answers

Answer:

Step-by-step explanation:

The required class interval would show the class width of the data given. Thus choosing class width of 5, the appropriate class interval would be 6 - 15, 11 - 15, 16 - 20, 21 - 25, 26 - 30, 31 - 35, 36 - 40, 41 - 45, 46 - 50, 51 - 55, 56 - 60, 61 - 65, 66 - 70

The frequency table generated is herewith attached to this answer for better understanding.

HELP ASAPPPPP PLEASEE

Answers

Answer:

A, B, B, A.

Step-by-step explanation:

The corner is 90 degrees. Therefore it has one right angle and is right. An isosceles triangle has 2 sides of equal length.

Answer:

abba.

Step-by-step explanation:

ksksskskwkwrandommmmmm

Find The Missing Lenght of the right triangle. Round to The Nearest

Answers

Answer:

b ≈ 8.49

Step-by-step explanation:

A^2 + b^2 = c^2.   (Pythagorean theorem)

c is the hypotenuse or the longest side of a triangle.

a and b are the other 2 sides.

17^2 + b^2 = 19^2

289 + b^2 = 361

289 + b^2 - 289 = 361 - 289

b^2 = 72

b ≈ 8.49

Have a great day!

What is the value of x?



Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

x =
m

A scalene triangle U V W. Side U V is labeled as 19 meters. Side U W is labeled as x. Angle U is labeled as 81 degrees. Angle V is labeled as 30 degrees.

Answers

Answer:

x = 10.2 m

Step-by-step explanation:

law of sines:

sin 30° / x = sin 69° / 19

cross-multiply:

.5(19) = sin 69°x

x = .5(19) / sin 69°

x = 9.5/.934

x = 10.2

The value of x with the help of sine law is 10.2 units.

What is Sine Law?

Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.

Here, Law of sines:

[tex]\frac{Sin A}{a} =\frac{Sin B}{b} = \frac{Sin C}{c}[/tex]

sin 30° / x = sin 69° / 19

1/2x =  sin 69° / 19

cross-multiply:

19/2 = sin 69°x

x = 9.5 / sin 69°

x = 9.5/0.934

x = 10.2

Thus, the value of x with the help of sine law is 10.2 units.

Learn more about Sine Law from:

https://brainly.com/question/17289163

#SPJ2

What would this expression be when simplified

Answers

Answer:

The first one is the answer

Step-by-step explanation:

A cyclist travels 9 km from home to the park. She leaves home at 09:30 and arrives at the park at 09:45. What is her average speed in km/h?

Answers

Answer:

36km/h

Step-by-step explanation:

Given data

Distance= 9km

Time= 9:30- 9:45

TIme = 15min

Min- Hours

15min is = 0.25 hours

Hence the speed is as follows

Speed= distance/time

Speed= 9/0.25

Speed= 36km/h

Hence the speed is 36km/h

PLEASE HELP WITH FINDING AREA

Answers

When you have an irregular figure, you can divide it so that it becomes multiple normal figures. You already did this in the picture, now you just have to find the area of each shape and then add them all together.

From bottom to top:

A=1/2 (b1+b2)h

A= 1/2 (4+2.24)(2)

A= 6.24

(you have two of these on either side)

A=bh

A=6(4)

A=24

A=1/2 bh

A= 1/2 (4)(4)

A=8

(NOTE: there is an error in your drawing. The height of the triangle cant be determined because the 10 value spans over the entire figure when the wings of the rocket are 4 units long and then the body is 6 units long, making it equal 10 already. I'm assuming that the 10 is supposed to go from the bottom of the rectangle to the top of the triangle)

Total figure= 6.24 + 6.24 + 24 + 8

total figure = 44.48

samuel can do 9 word problem s in 25 minutes at this rate about how many word problem can he do in 42 minutes​

Answers

Answer:

15 word problems

Step-by-step explanation:

Given that

Samuel can do 9 word problems in 25 minutes

So we need to find out how he can do the word problems in 42 minutes

The calculation is given below;

= 9 × 42 minutes ÷ 25 minutes

= 15.12

= 15 word problems

Hence, the same would be considered and relevant

What is the range of y= x + 2?

Answers

Answer:

A) all real numbers greater than or equal to 2

Domain: [tex]x\geq 0[/tex]

Step-by-step explanation:

The variable in the radical x cannot be less than 0 as that wouldn’t be defined. So, the maximum that x can be is 0, and [tex]y=x+2[/tex]. So, 0+2=2, and y is greater than or equal to 2.

Domain is x is greater than or equal to 0 because you cannot square a negative. So, it must not be less than 0. It could be 0 because square root of 0 is just 0.

Can someone help me???

Answers

Answer:

91 cm squared

Step-by-step explanation:

13 x 7 = 91

Answer: 77

Step-by-step explanation:

13 × 7 - (4 × 3) - (2 × 1)

Have a good day :)

What is the radius of D?

Answers

Answer:

[tex]\huge\colorbox{pink}{✏﹏ \: 3 cm\: }[/tex]

Step-by-step explanation:

Diameter (d) = 6 cm

Radius (r) = ?

[tex]r = \frac{d}{2} \\ r = \frac{6}{2} \\ r = 3 \:cm[/tex]

⋆┈┈｡ﾟ❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀ུ۪ﾟ｡┈┈⋆

SNACKS The face of the popcorn box can be modeled with an isosceles trapezoid with QR=3x+2.5, RS=9x−4.8 , ST=4x−2 , and QT=6x+1.2.

Answers

Answer:

TQ=SR [since it is isosceles trapezoid]

6x+1.2=9x-48

48+1.2=9x-6x

3x=49.2

x=49.2/3=16.4

now

QR=3×16.4+2.5=51.7

SR=9×16.4-48=99.6

ST=4×16.4-2=63.6

TQ=6×16.4+1.2=99.6

As it's isosceles trapezoid

QT=RS9x-4.8=6x+1.23x=6x=2

Now

QR=3(2)+2.5=8.5

RS=9(2)-4.8=13.2

ST=4(2)-2=6

QT=6(2)-1.2=10.8

On February 18, from 9 a.M. Until 2 p.M., the temperature rose from -14°F to 36°F. What was the total increase in temperature during this time period?

Answers

Answer: 50 degrees

Step-by-step explanation:

36 - - 14

36 + 14 = 50

Determine the value of y, if x is 7.
y = x2 - 1

Answers

Answer:

13

Step-by-step explanation:

If x is 7, then 7 * 2 = 13, and 14 - 1 = 13.

Hope that this helps!

13 because if you plug in 7 y=7(2)-1 then do 7x2 and then it would be 14-1 so 13

A community pool charges $78 for swim lessons and a $2 towel rental fee per day. At the end of the summer Yolanda spends $102. How many days did Yolanda go for swim lessons?

Answers

Answer: 12 days

Step-by-step explanation:

Given

A community pool charges $78 for a swim lesson and $2 for a towel each day

Suppose Yolanda attended the session for x days

So, we can write the total fees of $102 as

[tex]\Rightarrow 102=78+2x\\\Rightarrow 2x=102-78\\\\\Rightarrow x=\dfrac{24}{2}\\\\\Rightarrow x=12[/tex]

So, Yolanda attended the swim lessons for 12 days

In ΔJKL, the measure of ∠L=90°, the measure of ∠J=25°, and KL = 26 feet. Find the length of LJ to the nearest tenth of a foot.

Answers

Answer:

55.8 feet

I hope this helps people

If the domain (or pre-image) of a function that is translated up 5 is (-1, 8), (-2,4), (-1, -7), what is
the range (or image)?

Answers

Answer:

The image of the given points after the translation is;

(-1,13) , (-2,9) and (-1,-2)

Step-by-step explanation:

By translating vertically to the tune of 5 units, what we have done is to add 5 units to the y-axis value

so for (-1,8); it will become (-1, 8 + 5) = (-1,13)

for (-2,4); it will become (-2,4 + 5) = (-2,9)

for (-1,-7); it will become (-1,-7+ 5) = (-1,-2)

a) Complete the table of values for x + y = 6
X
-2
-1
0
1
3
N
у

Answers

Step-by-step explanation:

Given equation is x+y=6

Table:-

[tex]\boxed{\begin{array}{c|c|c}\bf x &\rm 3 &\rm 2 &\rm 1\\ \bf y &\rm 3 &\rm 4 &\rm 5\end{array}}[/tex]

Given the following kite find:

Answers

Answer:

63

Step-by-step explanation:

90+13x+1+28x+7=180

98+41x=180

41x=82

x=2

Plugging in the value of x, we get:

28x+7=28(2)+7=56+7=63

-4x + 1 = -11
how do i solve this​

Answers

Answer:

3

Step-by-step explanation:

- 4x + 1 = - 11

- 4x = - 11 - 1

- 4x = - 12

x = - 12 / - 4

x = 3

Answer:

-4X+1=-11

-4x=-11-1

-4x=12

x=12/4

x=3

Ronaldo can kick a soccer ball 35 meters per second which is about 80 mph. He kicked the ball from one end of the field to the other. The Field is 110m long. How long does the ball take to get from one end of the field to the other if it traveled at the same speed the entire time?

Answers

Answer:

[tex]t=3.142sec[/tex]

Step-by-step explanation:

From the question we are told that:

Speed of ball [tex]V=35m/s\approx 80 mph[/tex]

Length of field [tex]l=110m[/tex]

Generally the equation for Time taken [tex]t[/tex] is mathematically given by

 [tex]t=m/V[/tex]

 [tex]t=110/35[/tex]

 [tex]t=3.142sec[/tex]

 [tex]t \approx \frac{3.142}{60}[/tex]

 [tex]t \approx 0.05hrs[/tex]

Therefore it will take the ball to get from one end of the field to the other

[tex]t=3.142sec[/tex]

Cecilia has the shirts indicated in the table.
Color
Pink
White
Black
Blue
Number of Shirts
3
1
4
4
Cecilia will randomly choose one shirt and then put it back in her closet. Then she will
randomly choose another shirt. What is the probability that she will choose a black shirt
and then a pink shirt?

Answers

Answer:

it is H

Step-by-step explanation:

4-3 is 1 and there is 12 total objects so it is 1/12

Which function in vertex form is equivalent to f(x) = x2 + x +1?
5
ORX) = (x + 4+1
RX) = (x + 1) +
ORX) = (x + 1) +
O Rx) = (x + 1) +
3
5

Answers

Answer:

3rd option is correct

Step-by-step explanation:

:)

The vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]

Vertex form of an equation

Given the expression [tex]f(x) = x^2 + x +1[/tex]

The vertex form is expressed as shown below:

[tex]f(x) = x^2 + x +1\\f(x) = x^2 + x + 1^2 +1 - 1^2\\f(x) = (x+1)^2 - 0[/tex]

Express the result in vertex form.

[tex]f(x) = (x+1/2)^2 + 3/4[/tex]

Hence the vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]

Learn more on vertex form here: https://brainly.com/question/525947

A plane is travelling at 180 metres per second. How many minutes will it take for the plane to travel 800km? Give your answer in the nearest minute.

Answers

Answer:

79 minutes

Step-by-step explanation:

A plane is travelling at 180 meters per seconds

Convert to km/hr

180× 18/5

= 648 km/hr

Since 648 km equals 1 hour then the number of minutes required for the plane to travel 800 km is

= 1/648 × 800

= 1 hour 19 minutes

Conver the time to full minutes

60 minutes = 1 hour

= 60+19

= 79 minutes

Hence the minutes required for the plane to travel 800km is 79 minutes

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