Answers
Answer:
Exterior Angle Property of a Triangle
Step-by-step explanation:
According to exterior angle property of a triangle , the measure of any one exterior angle of a triangle is equal to the the sum of measure of it's opposite interior angles.
The relationship between angles 1, 2 and 3 is that they follows exterior angle principle. Therefore, ∠3 = ∠2 + ∠1
Exterior angle theoremThe exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
In other word, the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles
Therefore, the angle 3 is related to angle 1 and 2(remote interior angles) by the exterior angles theorem. Mathematically, this can be represented as follows:
∠3 = ∠2 + ∠1
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Related Questions
Can I actually get help and not people saying random stuff just for points????
Answers
Simplify 1/2+2/3-1/4
Answers
Answer:
11/12
Step-by-step explanation:
Tessa's class had a math exam
Answers
Answer:
is dis a question. .......?????
PLS HELP
The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
_ pounds of chocolate candies
Answers
Answer:
9 pounds of chocolate candies
6 pounds of sugar candies
Step-by-step explanation:
x + y = 15
y = 15 - x
(7x + 2y) / 15 = 5
7x + 2y = 15 * 5 = 75
7x + 2 * (15 - x) = 75
7x + 30 - 2x = 75
5x = 45
x = 9
15 - 9 = 6
y = 6
9 pounds of chocolate candies and 6 pounds of sugar candies
The owner should use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given that owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb.
He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb.
x + y = 15
y = 15 - x
(7x + 2y) / 15 = 5
7x + 2y = 15 x 5 = 75
7x + 2 (15 - x) = 75
7x + 30 - 2x = 75
5x = 45
x = 9
Now 15 - 9 = 6
y = 6
Threfore, we conclude that 9 pounds of chocolate candies and 6 pounds of sugar candies.
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A pencil holder shaped like a triangular prisms height is 12 cm, and the volume of the pencil holder is 216 cm3. What is the area of the base of the pencil holder in square centimeters
Answers
Answer:
The area of the base of the pencil holder in square centimeters is 18 square centimeters
Step-by-step explanation:
The volume of a triangular prism is given as base area X height.
To get the base area, we can quickly shuffle the order of the terms to make sure that the base area is the subject of the formula.
Base area = volume of prism / height
Base area = 216/12 = 18 square centimeters
Therefore, the area of the base of the pencil holder in square centimeters is = 18 square centimeters
1. It's a 3-digit whole number 2. It's divisible by 4 3. It's divisible by 5 4. It's divisible by 11 5. It's divisible by 3
Answers
Answer: 660 is divisible by 2,4, 5, 11 and 3
What is the sample space of a single spin of the spinner
Answers
Answer:
The sample space of an experiment is the set of all possible outcomes of that experiment.
Answer:
Y, P, R, B (or something like that)
Step-by-step explanation:
just read what the other answer said
Jake has 3 1/2 hours before bedtime. He must spend 2 hours doing homework. The rest of his time will be spent doing puzzles. It takes jake 1/2 hour to complete each puzzle. Which equation models the number of puzzles, p, jake can complete before bedtime?
Answers
Explanation: p is number of puzzles
Answer:
3 1/2 puzzles
Step-by-step explanation:
Blank% of 35 = 21 percent equations
Answers
Answer:
60%
Step-by-step explanation:
60% of 35 = 21
What is the radian measure of an angle equal to 225 degrees????
Answers
Answer:
225° = 5π/4 radians.
Step-by-step explanation:
hope this helps :D
The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.
Given,
225 degrees.
We need to find the radian measure of 225 degrees.
What is the radian measure of an angle?
We have,
π radian = 180 degree
So,
2π = 360 degrees.
This is the formula for the radian of an angle.
Find the radian measure for 225 degrees.
We have,
π radian = 180 degrees
Multiply 225/180 on both sides by 180.
225/180 x π radian = 225/180 x 180 degrees
1.25 π radian = 225 degrees
or
We can take π = 22/7 = 3.14
225/180 x 3.14 radian = 225 degrees.
3.925 radian = 225 degrees
Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.
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write the equation of the horizontal line that goes through (-5,7)
Answers
Answer:
The equation would be y=7
Given X = {15, 22, 33, 44, 89, 165, 1025} and Y = {-5, 15, 33, 88, 99, 150, 160, 1025}, which of the following statements is false?
Ø (X Y)
X Y = {-5, 15, 22, 33, 44, 89, 99, 150, 160, 165, 1025}
X ∩ Y = {15, 33, 1025}
WHAT EVEN IS THIS LOL
Answers
Answer:
the first one
Step-by-step explanation:
in the first one it says there are no common numbers between x and y which is false.
in the second one its the union of x and y which means that you must list all numbers in x and y without repetition
the third one states that 15,33,1025 are the only numbers that are common between x and y.
so as a breif the first one is wrong
Answer:
first choice
Step-by-step explanation:
Help me out plssss!!!!
Answers
Answer: m=6.2t, 148.8 miles
Step-by-step explanation:
to figure out the equation we do 93/15=6.2 and we make it into a equation which is m=6.2t. since we know the butterfly travels 6.2 per hour we do 6.2 x 24 = 148.8
sorry if it's wrong
Write a function in any form that would match the graph shown below. please help :)
Answers
Answer:
0, -4
2,0
-4,0
-2,-8
Step-by-step explanation:
I chose the points that were most visable
helpppp i’ll give that crown thing
Answers
Answer:
N K Q
Step-by-step explanation:
A bar graph titled Internet Users has Region on the x-axis and People (millions) on the y-axis. Asia has 1,000, Europe has 500, North America has 250, and the Middle East has 100.
According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.
Answers
Answer:
Its D) Africa has more users than the Middle East but fewer users than North America.
Step-by-step explanation:
correct for Edge2020
What is the cost of the bill if a drink costs $3, a meal costs $20, an appetizer costs $5.50 and a slice of cake cost $3. 75?
Answers
Write in standard form the equation y - 9 = 1/3(x - 6).
Answers
First make slope intercept
y = 1/3(x - 6) + 9
y = 1/3x - 2 + 9
y = 1/3x + 7
Now make standard form
Subtract 7 and y
1/3x - y = -7
Get rid of fraction
Multiply all by 3
Solution: x - 3y = -21
PLEASE HELP ME!!!!
What is the domain and range of the relation shown in the table?
Answers
Answer:
the answer is c
Step-by-step explanation:
good luck
Answer:
last option
Domain: -3,-1,2,5 Range: 0,2,4
It may be the one above it but you have to be careful because it might say that 0 is a real number or it is not. Fair warning!
Step-by-step explanation:
The domain is the x values and the range is the y values.
Hope this helps!
please solve this for me
Answers
Answer:
the square of -5 is 25 not -25
, -4(1)(-3) is 12 not -12 because when we multiply 2 negative numbers their result is positive
+5 should be written instead of -5
Step-by-step explanation:
+5 should be written instead of -5 as the formula is (-b+-(b²-4ac)½)/2a . since b=-5 ;-b=+5
Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a coordinate plane. a. (0,0), (16,4), (4,6) b. (3,4), (11,12), (8,15)
Answers
Answer:
The answer is below
Step-by-step explanation:
a) The equation of a line passing through the point (0,0) and (16,4) is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x[/tex]
We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).
The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22[/tex]
The slope of a line passing through the point (16,4) and (4,6) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}[/tex]
We have to find the equation of the line perpendicular to the line with slope of -1/6 and passing through the point (0,0).
The line perpendicular to a line with slope -1/6 has a slope of 6
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x[/tex]
Solving y = 6x and y = -4x + 22, gives:
x = 2.2, y = 13.2
Hence the orthocenter is at (2.2, 13.2)
b)
The slope of a line passing through the point (3,4) and (11,12) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1[/tex]
We have to find the equation of the line perpendicular to the line with slope of 1 and passing through the point (8,15).
The line perpendicular to a line with slope 1 has a slope of -1
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23[/tex]
The slope of a line passing through the point (11,12) and (8,15) is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1[/tex]
We have to find the equation of the line perpendicular to the line with slope of -1 and passing through the point (3,4).
The line perpendicular to a line with slope -1 has a slope of 1
Hence:
[tex]y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1[/tex]
Solving y = -x + 23 and y = x + 1, gives:
x = 11, y = 12
Hence the orthocenter is at (11, 12)
Please help I’ll give you brainliest
Jim's timecard is below. For each day figure out the total hours he
worked (a-e), and find the total number of hours he worked for the week. Please help
TOTAL
OUT
4:30
5:00
a.
b.
Monday
Tuesday
Wednesday
Thursday
Friday
IN
8:30
8:30
8:30
8:00
8:30
OUT
11:30
12:30
11:30
12:00
11:30
IN
12:30
1:00
12:00
12:30
12:30
C.
d.
6:00
6:30
7:30
Total
e.
f.
Answers
Answer:
a. 7
b 8
c 9
d 10
e 10
f 44
Step-by-step explanation:
If you were to graph the amount of water in the tank over time, would the point (10,5) and (22,2) would it fall in line yes or no with explanation please
Answers
Answer:
Yes
Step-by-step explanation:
Santa's sleigh is powered by units of Christmas spirit. If 9/10 people show Christmas spirit Santa's sleigh will deliver all packages. If there are 13,000,000 people in Pennsylvania, how many people would have to show Christmas spirit for packages to be delivered in PA? Make sure to put commas in your answer and use a calculator if you need to. * 2 points
Answers
Answer: 11,700,000
Step-by-step explanation:
Number of people in Pennsylvania =13,000,000
Fraction of people that will show Christmas spirit for Santa's sleigh to deliver all packages = 9/10
The number of people that would have to show Christmas spirit for packages to be delivered in PA will be:
= 9/10 × 13,000,000
= 11,700,000
A haircut cost $15. I left a 20% tip. How much was the haircut including the tip? PLEASE ANSWER WITH WORK
Answers
Answer:
$18
Step-by-step explanation:
15*.2=3
15+3=18
The haircut is $18 with tip included.
Answer:
$18
Step-by-step explanation:
15 haircut tip 20%
15 x .20= 3
15 + 3 = 18
divide the percent by 100 to get it in decimal form.
Thomas is purchasing notebooks for
school. He has $25 to spend and each
notebook costs $4.15. How many
notebooks can he buy if he must first
buy a calculator for $8.64?
Answers
Answer:
4
Step-by-step explanation:
Please HELP ME Ill GIVE BRAINLIEST!!!
A kennel in Bloomington offers daily boarding for dogs. The table below has the cost for different intervals. Which equation best represents this functional relationship?
Answers
Step-by-step explanation:
The patter is multiplying buy 20 after each number.
PLEASE HELP ASAP!??!?!? THERE IS 4 PAGES
Answers
Answer:
I am sorry but is the last time I can help you!
I wish you all the best!
At the bookstore, Tim bought a magazine for $4, and five books that all cost the same amount. He spent a total of $129. Which equation expresses how much each book cost?
Answers
Answer:
25(b) + 4 = 129
Step-by-step explanation:
b=5
25(5) + 4=129
need the answer asap
Answers
Answer:
10,15
Step-by-step explanation:
Answer:
AC=39
Step-by-step explanation:
-x+25=3(2x-8)
-x+25=6x-24
49=7x
x=9
AC = 2(-9+25)=-11+50=39
