Answers
All the valid statements are,
⇒ Statement 1; By definition of parallel lines
⇒ Statement 3; Because of alternate interior angle theorem.
⇒ Statement 4; Because it is linear
⇒ Statement 5; because of substitution
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Mr. Hussey prove that the sum of interior angle of triangle is 180 degree.
Now, For all the statements al the correct postulate are,
⇒ Statement 1; By definition of parallel lines
⇒ Statement 3; Because of alternate interior angle theorem.
⇒ Statement 4; Because it is linear
⇒ Statement 5; because of substitution
Thus, All the valid statements are,
⇒ Statement 1; By definition of parallel lines
⇒ Statement 3; Because of alternate interior angle theorem.
⇒ Statement 4; Because it is linear
⇒ Statement 5; because of substitution
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
Related Questions
Answers need to be fractions, if they are not whole numbers. No decimals
y=−4x−10
Slope of lines parallel to line
Slope of lines perpendicular to line
Answers
Y-intercept : (0, -10)
Keesha buys grapes and bananas. These bills and coins represent the cost of each item. How much did Keesha spend in all? Enter your answer in the box.
Answers
The total amount of money spent by Keesha to buy grapes and bananas is equal to $6.38.
How much did Keesha spend in all?
Based on the value of the bills and coins which represent the cost of each item, we would determine the total amount of money spent by Keesha to buy grapes and bananas.
For the grapes, we have:
Cost of grapes = 5 + (1 × 0.25) + (2 × 0.1) + 0.05
Cost of grapes = 5 + 0.25 + 0.2 + 0.05
Cost of grapes = $5.5.
For the bananas, we have:
Cost of bananas = (3 × 0.25) + 0.1 + (3 × 0.01)
Cost of bananas = 0.75 + 0.1 + 0.03
Cost of bananas = $0.88.
Total cost = 5.5 + 0.88
Total cost = $6.38.
Read more on total cost here: https://brainly.com/question/14107009
#SPJ1
After 8 years, how much will brandon have saved in interest by consolidating the two balances? a. $581.76 b. $194.40 c. $256.32 d. $325.44
Answers
Answer:
C
Step-by-step explanation:
The circumference of a circle is 14 pi cm. What is the area, in centimeters? Express your answer in terms of pi.
Answers
Answer: 49π or 153.86
Explanation: To find the R, do 14 divide by 2 because since you're not multiplying pi with it. The circumference formula is 2πr
14 / 2 = 7
7 = Radius
Area of a circle is : πr^2
π(7^2)
π49
----------
π49
153.86
Your'e at your new high school.....You go into the bathroom and there's students smoking in there. I mean like a real smoke fest. Some of them you know, most you don't as your'e the new freshman. Suddenly, the school security barges in to take everyone who's in the bathroom to the principal's office. You on the other hand was just trying to use the bathroom and never got to lol! You and everyone in the bathroom end up in the office about to get in big trouble. What do you do?
Answers
9(w – 4) – 7w = 5(3w – 2)
Answers
Answer:
-2 =w
Step-by-step explanation:
9(w – 4) – 7w = 5(3w – 2)
The first step is to distribute
9w -36 - 7w = 15w -10
Combine like terms
2w -36 = 15w -10
Subtract 2w from each side
2w -36 -2w = 15w-10-2w
-36 = 13w -10
Add 10 to each side
-36+10 =13w-10+1-
-26 = 13w
Divide by 13
-26/13 =13w/13
-2 =w
What is the area of the following circle? Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal. d=10
Answers
PLEASE HELP simplify (-2)(-3)^2-2(2-5)
Answers
Answer: -12
Step-by-step explanation: When solving this problem, PEMDAS is a key component. What is PEMDAS?
PEMDAS stands for the following:
P- Parentheses
E- Exponents
M-Multiplication
D- Division
A-Addition
S-Subtraction
This is also known as order of operations. Following this order, we can easily simplify the problem.
P-Parentheses
(-2)(-3)^2-2(2-5)
Our parentheses is (2-5). We can simply this to -3. Our problem now is
(-2)(-3)^2-2(-3)
E-Exponents
We have one set of exponents in this. It is -3^2. This simplifies to 9. Our problem now is
(-2)(9)-2(-3)
M- Multiplication
We can simply to.
-18+6
These simplifies into
-12
Answer:
-12
Step-by-step explanation:
-2*9-2(2-5) : Raise -3 to the power of 2
-18-2(2-5) : Multiply -2 by 9
-18-2*-3 : Subtract 5 from 2
-18+6 : Multiply -2 by -3
-12 : Add -18 and 6
find xif S is between R and T, RS=2x+3, ST=4x, and RT=63
Answers
Answer:
x = 10
Step-by-step explanation:
If S is between R and T, then RS + ST will be equal to RT.
See image.
Use this idea to write an equation.
2x + 3 + 4x = 63
Combine like terms, Subtract 3, Divide by 6, to solve for x. See image.
Find the following measure for this figure.
Volume=
36 square units
24 square units
12 square units
Answers
4 x 2 x 3 = 24.
4 x 2 = 8
8 x 3 = 24.
therefore, it’s 24 cubic units.
2. At the beginning of a trip, the odometer on a car reads 30,680 and the
car has a full tank of gas. At the end of the trip, the odometer reads
30,970. It takes 20 gallons of gas to refill the tank.
a. What is the average rate of change of the number of miles with respect
to the number of gallons?
3. The total number of words M(t) that a person can memorize in time t, in
minutes, is shown in the following table
t
8 16 24 32 36
M(t) 10 20 25 25 25
a. Find the average rate of change of M as t changes from 8 to 16.
b. Find the average rate of change of M as t changes from 16 to 24.
c. Find the average rate of change of M as t changes from 24 to 32.
Answers
The average rate of change of the number of miles with respect to the number of gallons is 14.5 miles per gallon
How to determine the average rate of change?The given parameters can be represented as:
M(0) = 30680
M(20) = 30970
The average rate of change is calculated as:
M'(t) = (M(20) - M(0))/(20 - 0)
This gives
M'(t) = (30970 - 30680)/(20 - 0)
M'(t) = 14.5
Hence, the average rate of change of the number of miles with respect to the number of gallons is 14.5 miles per gallon
The average rate of change of M as t changes from 8 to 16.
This is calculated using
M'(t) = (M(16) - M(8))/(16 - 8)
M'(t) = (20 - 10)/(16 - 8)
M'(t) = 1.25
The average rate of change of M as t changes from 16 to 24.
This is calculated using
M'(t) = (M(24) - M(16))/(24 - 16)
M'(t) = (25 - 20)/(24 - 16)
M'(t) = 0.625
The average rate of change of M as t changes from 24 to 32.
This is calculated using
M'(t) = (M(32) - M(24))/(32 - 24)
M'(t) = (25 - 25)/(32 - 24)
M'(t) = 0
Read more about average rates at:
https://brainly.com/question/8728504
#SPJ1
Please help me with this?.
Answers
Answer:
slope: -3
y-intercept: -2
equation: -3x-2
y intercept is the value of y at x=0
slope is how many units the graph moves per x
equation is (slope)x+(y-intercept)
A bicycle company is designing women's bicycle frames. The frames can accommodate any woman taller than 54.5 inches. Given that the heights of adult American women are normally distributed, with a mean of 65 inches and a standard deviation of 3.5 inches, what percentage of American women CANNOT use the bicycles designed by this company
Answers
Using the normal distribution, it is found that 0.13% of American women CAN NOT use the bicycles designed by this company.
What is Normal Probability Distribution?The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean.Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 65\ \ \sigma= 3.5[/tex]
The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
[tex]z = \dfrac{54.5-65}{3.5}[/tex]
Z = -3
Z = -3 has a p-value of 0.0013.
0.0013 = 0.13% of American women CAN NOT use the bicycles designed by this company.
More can be learned about the normal distribution at brainly.com/question/27850813
#SPJ1
What is the factored form of the expression x^2 + 3x-4?
Answers
Answer:
(x-4)(x-4)
Step-by-step explanation:
Because the factors of 16 that add up to -8 can be -4 and -4.
Let's plug it in...
16 - 32 + 16 = 0
It works!!!
ANswer is (x-4)(x-4)
Answer: (x-1)(x+4)
the answer
Point M(5, 2) is the midpoint of segment XY. Point X has coordinates
(-4, 6). Find the coordinates of point Y
Please help!
Answers
Answer:
(14, -2)
Step-by-step explanation:
The coordinates of the midpoint is equal to the mean of the coordinates of the endpoints.
=============================================================
Solving :
⇒ 5 = -4 + x / 2
⇒ x - 4 = 10
⇒ x = 14
⇒ 2 = 6 + y / 2
⇒ y + 6 = 4
⇒ y = -2
===========================================================
Coordinates of Point Y :
⇒ Y = (x, y)
⇒ Y = (14, -2)
Answer:
Y (14, - 2 )
Step-by-step explanation:
using the midpoint formula for (x₁, y₁ ) and (x₂, y₂ ) , then
midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1+y_{2} } }{2}[/tex] )
equating the x- coordinates and the y- coordinates
let coordinates of Y = (x, y )
[tex]\frac{x-4}{2}[/tex] = 5 ( multiply both sides by 2 )
x - 4 = 10 ( add 4 to both sides )
x = 14
and
[tex]\frac{y+6}{2}[/tex] = 2 ( multiply both sides by 2 )
y + 6 = 4 ( subtract 6 from both sides )
y = - 2
coordinates of Y = (14, - 2 )
Otto used 5.5 cups of whole wheat flour and X cups of white flour in the recipe what is the equation that can be used to find the value of y the total amount of flour that Otto  used in the recipe and what are the constraints  on the values of X and y
Answers
The solution to the equation is y = 5.5 + x , for any real number x greater than or equal to zero and y any real number greater than or equal to 5.5.
Analysis:
since number of items cannot be negative x and y are real number numbers since y or x can be a decimal so we do not use integers alone.
so y = 5.5 + x , for any real number x greater than or equal to zero and y any real number greater than or equal to 5.5.
Learn more about integers : brainly.com/question/17695139
#SPJ1
Answer: C
Step-by-step explanation:
5 pts
Question 5
A model rocket is launched 25 feet from you. When the rocket is at height h, the
distance d between you and the rocket is given by d = √216 +h2 where h and d
are measured in feet. What is the rocket's height when the distance between you and
the rocket is 100 feet? Round to 3 decimal places
Question 6
5 pts
Answers
The rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet
How to determine the rock's height?The function is given as:
d = √216 +h²
At a distance of 100 feet, it means that:
d = 100
So, we have:
√216 +h² = 100
Take the square of both sides
216 +h² = 10000
Subtract 216 from both sides
h²= 9784
Take the square root of both sides
h = 98.9
Hence, the rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet
Read more about functions at:
https://brainly.com/question/4025726
#SPJ1
If EFGH is a parallelogram, what is the value of x?
F
(4x-2)
34
G
E
H
A. 34
OB. 30.5
OC. 36
D. 82
OE. 37
OF. 9
Answers
Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.
What are the Properties of the Angles of a Parallelogram?In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.
Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)
Angle F + angle G = 180
4x - 2 + 34 = 180
4x + 32 = 180
4x = 180 - 32
4x = 148
x = 148/4
x = 37
Value of x is: E. 37.
Learn more about parallelogram on:
https://brainly.com/question/3050890
#SPJ1
these box plots show daily low temperatures for a sample of days in two different towns which statment is the most appropriate comparison of the centers
Answers
The correct statement about the center of both box plots is: the median for Town A, 30° is greater median for Town B, 25°
What is the correct statement?A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. The two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the upper (third) quartile.
Please find attached the complete question. To learn more about box plots, please check: https://brainly.com/question/27215146
#SPJ1
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x-6)⁰
54°
4
Answers
The measures of the x is 6.
What is angle sum property?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Given : one angle= 6x-6 and another angle = 54
Using angle sum property, we have
6x-6 + 54 + 90 = 180
6x=180-144
6c= 36
x=36/6
x=6
Thus, value of x is 6.
Learn more about angle sum property here:
https://brainly.com/question/4316040
#SPJ1
Evaluate using the given value: y+9-x; use x=1, and y=3
Answers
[tex]y+9-x =[/tex]
[tex]x=1 \\ y=3[/tex]
[tex]3 +9 -1=11[/tex]
Answer:
y+9-x = 3+9-1 which would end up equaling: 11
9-1=8+3=11
30 points + brainliest for answer: Explain how you can determine which angle of a scalene triangle is the largest and which is the smallest.
Answers
The size of the scalene triangle would be larger or smaller
Abby is making a necklace that is 16 1/2 inches long. She is placing a colorful bead every 3/8 inch. How many beads will she need to make the necklace?
Answers
Answer:
44
Step-by-step explanation:
16.5 / 3/8 = 44
she will need 44 beads to complete that necklace
what is the volume of a sphere with an 8 cm radius
Answers
Answer:
Approx. 2140.16 cubic centimeters
Step-by-step explanation:
[tex]Volume=\frac{4}{3}\pi r^{3} \\V=\frac{4}{3}(3.14)(8)^{3} \\V=4.18(8)^{3} \\V=4.18(512) \\V=2140.16[/tex]
if the area of a square is 32ft how long is the diagonal?
Answers
A square has the same length all 4 sides, therefore in order to find the length of the sides, you would need to find the square root of 32, which would be 5.66 or 4 radical 2. Then to find the diagonal length you would need to split the square diagonally resulting in 2 triangles. We know the side lengths of the triangles but not the hypotenuse( longest side of triangle), which is the diagonal length. To figure this out we would use the Pythagorean theorem a^2 + b^2 = c^2. We know what a and b are so we substitute, do basic algebra, and find that c is equal to 8
Answer: 8
Step-by-step explanation:
To find the diagonal, we need to use two formulas:
Area of a square: [tex]A = s^{2}[/tex] (Area = side * side)
Pythagorean Theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]
Since every side of a square is the same:
[tex]a^2 = b^2\\a = b = \sqrt{32} \\a^{2} = 32\\b^2 = 32[/tex]
Our equation:
[tex]32 + 32 = c^2\\64 = c^2\\8 = c[/tex]
The picture below visually explains the problem
Hope this helps!
Use the equation of y = 1.5x +5 to predict the amount of milk needed for a 17-pound goat and a 55-pound goat
Answers
The amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively
How to determine the amount of milk?The equation is given as:
y =1.5x + 5
For a 17-pound goat, we have:
x = 17
This gives
y =1.5 * 17 + 5
y = 30.5
For a 55-pound goat, we have:
x = 55
This gives
y = 1.5 * 55 + 5
y = 87.5
Hence, the amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively
Read more about linear functions at:
https://brainly.com/question/4025726
#SPJ1
Solve the system by substitution. Check your solution.
a minus 1.2 b = negative 3. 0.2 b + 0.6 a = 12
a.
(15, 15)
c.
(13, 12)
b.
(10, 12)
d.
(7, 9)
Please select the best answer from the choices provided
A
B
C
D
Answers
The correct answer is option A. Which is the solution of the given equation will be (15,15).
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given equations are solved as:-
a - 1.2b = -3 or a = -3 + 1.2b
0.2a + 0.6b = 12
Put the value of a from equation 1 to the equation second.
0.2 ( -3 + 1.2 b) + 0.6b = 12
-0.6 + 0.24b + 0.6b = 12
0.84b = 12 + 0.6
0.84 b = 12.06
b = 15
Put the value of b in the first equation to find the value of a.
a = 1.2b - 3
a = (1.2 x 15) - 3
a = 15
Therefore the correct answer is option A. Which is the solution of the given equation will be (15,15).
To know more about equations follow
https://brainly.com/question/2972832
#SPJ1
30 x 17 - ( 10 divided by 2 ) + 3 =
Answers
10/2 = 5.
Then we would do 30 x 17, and get 510.
510 - 5 is 505, plus 3 more is 508.
We get a final answer of 508
Hope this helps!
Answer:
508?
Step-by-step explanation:
what is this factor? simplify?...etc
how would you solve for the missing value in a proportion?
Answers
Answer:
a/b = c/d
a*d = b*c
Ex:
a/2 = 2/4
4a = 4
a = 1
1/2 = 2/4
please help because I don’t know!!
Answers
Answer:
Step-by-step explanation:
Comment
There was a flat fee of 10 dollars
Each 1/4 hour brought in 3,75
The total charge was 55 dollars.
Equation
Charge = 10 + 4*3.75*x as an hourly rate,
Solution
55 = 10 + 4*3.75x Combine
55 = 10 + 15x Subtract 10 from both sides
55-10= 10-10 + 15x
45 = 15x Divide by 15
45/15 = 15x/15
x = 3 hours
Answer 3 hours