PLEASE HELP!!
Write a paragraph to proof to show that if <1 and <2 are congruent supplementary angles, then <1 and <2 are right angles
Answers
Answer:
Step-by-step explanation:
Supplementary angles are two or more angles whose the addition of their measures add up to [tex]180^{o}[/tex].
Given: <1 and <2.
<1 + <2 = [tex]180^{o}[/tex] (supplementary angles)
If <1 ≅ <2 (congruent property), then we have;
<1 + <1 = [tex]180^{o}[/tex]
2<1 = [tex]180^{o}[/tex]
<1 = [tex]\frac{180}{2}[/tex]
= [tex]90^{o}[/tex]
<1 = [tex]90^{o}[/tex]
So that since <1 and <2 are congruent, then;
<1 ≅ <2 ≅ [tex]90^{o}[/tex]
Therefore if <1 and <2 are supplementary and congruent, then they are right angles.
Related Questions
What is the solution of the system of equations below? Solve for x and y
4x+9y=14
4x+5y=6
Answers
Answer:
y = 2
Step-by-step explanation:
(4x+9y)-(4x+5y) = 14-6
4x-4x+9y-5y = 8
4y = 8
y = 2
Hope this helped!
select the equation represented by the graph
Answers
Answer:
b) y = -2/3 + 1
Step-by-step explanation:
The format for the equation is y = mx + b
(m is the slope, and b is the y intercept)
Slope is rise over run (the units the line moves up and the units the line moves to the right)
In this case, the slope is: -2/3 because it goes down 2 and to the right 3.
The y intercept is 1.
This makes our equation:
y = -2/3 + 1
3 Select the correct answer. The variable y varles directly as x. When x = 20, y= 12. What is the value of y when x= 15?
А. 7 B. 9 C. 18 D. 25
Answers
Answer:
B.9
Step-by-step explanation:
What I did is I used ratio.
20:12
15:X
Cross multiply:15x12
Answer:180
The answer you get divided by 20.
180/20=9.
Answer:
B
Step-by-step explanation:
Given y varies directly as x, then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition when x = 20, y = 12, then
12 = 20k ( divide both sides by 20 )
k = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]
y = [tex]\frac{3}{5}[/tex] x ← equation of variation
When x = 15, then
y = [tex]\frac{3}{5}[/tex] × 15 = 9
Which equation gives the number of 1/4 centimetre that are in 7/8 centimetres
Answers
Answer:
2/8
Step-by-step explanation:
y=2x-6
slope?
y- intercept?
Answers
Answer:
The slope is 2/1 and the y-intercept is -6.
Step-by-step explanation:
With the y=mx+b formula, m is the slope and b is the intercept.
Answer: -6
Step-by-step explanation:
pls pls help !!!
If f(x) = 9 - 2|x + 2|, find f(-7).
-15
-1
1
19
Answers
F(x)=-1
The answer is -1
(AKA the second option)
find a number that is exactly halfway between 1 and 27
Answers
Answer:
14
Step-by-step explanation:
A number that is exactly halfway between 1 and 27 is the middle number
In other words, we want to find the median between 1 and 27
Median = (x + y) / 2
Let
x = 1
y = 27
Median = (x + y) / 2
= (1 + 27) / 2
= 28/2
= 14
Therefore, the number between 1 and 27 is 14
Anna is working at a fast food restaurant and made $45.00 for 6 hours. Allison is working at a retail store and made $50.75 for 7 hours. If both girls worked for 10 hours, which girl would make more money and how much would she make?
Answers
Step-by-step explanation:
Step one:
given data
Anna
made $45.00 for 6 hours
for 1 hour she will make
=45/6
=$7.5
for 10 hours she will make
=$75
Allison
made $50.75 for 7 hours
for 1 hour she will make
=50.75/7
=$7.25
for 10 hours she will make
=$72.5
Anna will make more, she will make $75
Can anyone please answer these? Who ever answers correctly will be marked brainliest.
1. Find the absolute value of |8 + y| when y = 2
2. Find the absolute value of |-8 + y| when y = -2
3. Simplify: 4 + |x + 2| when x = -5
Answers
Answer:
1. x = ±3
2. x = 13 over 5
3. –4x + 7
Answer:
1)10
2)10
3) 7
Step-by-step explanation:
Modulus means we always take the positive value for example
|-3| = +3
1) Find the absolute value of |8 + y| when y = 2
[tex]|8+2| \\|10|\\10[/tex]
2) Find the absolute value of |-8 + y| when y = -2
[tex]|-8+(-2)|\\|-8-2|\\|-10|\\10[/tex]
3) Simplify 4 + |x + 2| when x = -5
[tex]4 + |x + 2|\\4+|-5+2|\\4+|-3|\\4+3\\7[/tex]
A store is having a sale on walnuts and chocolate chips. For 4 pounds of walnuts and 8 pounds of chocolate chips, the total cost is $25. For 2 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $10. Find the cost for each pound of walnuts and each pound of chocolate chips.
Answers
Answer:
The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50
Step-by-step explanation:
Let,
x be the price per pound of walnuts
y be the price per pound of chocolate chips
According to given statement,
4x+8y=25 Eqn 1
2x+3y=10 Eqn 2
Multiplying Eqn 2 by 2
2(2x+3y=10)
4x+6y=20 Eqn 3
Subtracting Eqn 3 from Eqn 1
(4x+8y)-(4x+6y)=25-20
4x+8y-4x-6y=5
2y=5
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{5}{2}\\y=2.50[/tex]
Putting y=2.50 in Eqn 2
2x+3(2.50)=10
2x+7.50=10
2x=10-7.50
2x=2.50
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{2.50}{2}\\x=1.25[/tex]
Hence,
The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50
What is the volume of the regular pyramid below?
OA. 108 units3
OB. 648 units3
Oc. 144 units3
OD. 216 units
Answers
Answer:
D. 216
Step-by-step explanation:
What I did was I multiply 9x9x8 and got 648. I then divide 648 by 3 and got 216. I would appreciate it if you can mark this the brainliest if you can.
The volume of the regular pyramid is V = 216 units³
What is the volume of a pyramid?The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.
Volume of Pyramid = ( 1/3 )a²H
Given data ,
Let the volume of the pyramid be represented as V
Now , the equation will be
Let the height of the pyramid be H = 8 units
Let the side length of the pyramid a = 9 units
Now , Volume of Pyramid = ( 1/3 )a²H
On simplifying , we get
The volume of pyramid V = ( 1/3 ) ( 9 )² ( 8 )
The volume of pyramid V = ( 27 ) ( 8 )
The volume of pyramid V = 216 units³
Hence , the volume of the pyramid is 216 units³
To learn more about volume of pyramid click :
https://brainly.com/question/17615619
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Here are the coordinates of rectangle PLAY: (-11,20), (-11,-3), (-1,20), (-1,-3). Find the Area of this rectangle.
Answers
Answer:
230 unit^2
Step-by-step explanation:
[tex]From\ the\ information\ provided\ we\ know\ the\ coordinates\ of\ points:\\P(-11,20),L(-11,-3),A(-1,20),Y(-1,-3)\\Hence,\\PL =AY= 20+3=23\ units\\PY=LA=11-1=10\ units\\Hence,\\As\ we\ know\ that:\\Area\ of\ a\ rectangle=Length*BreadthArea\ of\ rectangle\ PLAY=23*10\\=230\ unit^2[/tex]
sec 16° cosec 74° - cot 74° tan 16°
Answers
Answer:
1.
Step-by-step explanation:
sec 16° cosec 74° - cot 74° tan 16°
= 1/ cos 16 * 1/ sin 74 - 1/tan 74 * tan16
= 1/ cos16 sin 74 - cos74/ sin74 * sin 16 / cos 16
Now cos 16 = sin 74 and sin 16 = cos 74 (supplementary angles) so:
= 1 / cos^2 16 - sin 16/cos 16 * sin 16 / cos 16
=( 1 - sin ^2 16 )/ cos^2 16
= cos^2 16 / cos^2 16
= 1.
Please help
Much appreciated
Answers
Answer: First one, 25x^2y^22
Step-by-step explanation:
if you multiply y^5*2 you get y^10 and x^2
that makes x^2y^10
then, if you multiply y^3*4 you get y^12
so you have to add the y s that makes x^2y^22
A school district is planning on buying new desks for its classrooms. Each secondary classroom is to have 5 more desks than an elementary classroom. For 20 elementary classrooms and 25 secondary classrooms, a total of 1,115 desks are needed.
How many desks are to be in each secondary classroom?
Answers
Answer:
27
Step-by-step explanation:
sorry im a bit slow could somebody help please
Answers
Answer:
The numerator is the number on top of the bottom number (denominator)
The record low for Florida is 2 degrees below zero Fahrenheit and was set on February 13, 1899. The record high is 109 degrees Fahrenheit and was set on June 29, 1931. Which pair of numbers shows these temperatures, in degrees Fahrenheit, written as integers?
2 and 109
2 and -109
-2 and -109
Answers
Answer:
-2 and 109
Step-by-step explanation:
just put that
Answer 2 and -109
Step-by-step explanation:
I did the test
m=rise/run
m=?
b=?
equation:?
Answers
b= 2
equation= -1/2x + 2
Sarah and Jack are selling popcorn and cotton candy at the State Fair. Sarah sold 3 bags of
popcorn and 9 sticks of cotton candy for a total of $75. Jack sold 8 bags of popcorn and 5
sticks of cotton candy for a total of $67. Which is cost of the popcorn?
Answers
Jesse practices the trumpet for a total of 165 minutes during the first week of school. He practices for 245 minutes during the second week. A. Estimate the total amount of time Jesse practices by rounding to the nearest 10 minutes.
Answers
Answer:
410 minutes
Step-by-step explanation:
Given that:
Time for which Jesse practices trumpet in the first week = 165 minutes
Time for which Jesse practices trumpet in the second week = 245 minutes
To find:
The total amount of time rounded to the nearest 10 minutes.
Solution:
To find the total amount of time for which Jesse practices, we need to add the time taken for practice in the first week and the time taken for practice in the second week.
Therefore, total time taken = 165 + 245 = 410 minutes
It is already rounded off to the nearest 10 minutes.
Therefore, the answer is:
Total amount of time for which Jesse practices = 410 minutes
The distance from Annandale, Virginia to New York City, NY is approximately 410 kilometers (km). Find the distance in miles. SHOW WORK!
I NEED HELP PLEASE ANYONEEEEEE
Answers
First, find the converting ratio for kilometers to miles, which is
1km = 1.61 miles.
Then, divide 410 on the side for miles on the ratio.
410km=254.67miles
Therefore, 410 km is equal to 254.67 miles.
write a two-step equation that can be solved using the addition property of equality and the division property of equality.
Answers
Answer:
8x-14=26
Step-by-step explanation:
To solve this equation you first have to add 14 to both sides to cancel the -14 from the left side. Then you have to divide both sides by 8 to cancel out the 8 in front of the x and to get x alone. Then you have your answer. The answer to 8x-14=26 is x=5.
Prove that sin²a + cos²a = 1 and = [tex]\frac{1}{cos^{2}a }[/tex] + tan²a (a not alpha)
Answers
Answer:
[tex]\frac{1}{cos^2a }= tan^2 a[/tex]
Step-by-step explanation:
Explanation:-
Given sin²a + cos²a = 1
and
[tex]\frac{1}{cos^{2} a} \\= \frac{sin^2a+cos^2a}{cos^2a} \\ \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}[/tex]
= tan²a + 1
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
1. Change the equation to slope intercept form. Identify the slope and y- intercept of the equation. Be sure to show all your work.
2x + 3y= 1470
2x + 3y -2 = 1470 subtract 2x from both sides
3y= 1470 -2x simplify
3y/3= 1470/3 -2x/3 divide both sides by 3
y= -2/3x +490 simplify
-⅔ is the slope and 490 is the y- intercept
2. Describe how you would graph this line using the slope- intercept method. Be sure to write in full sentences.
Start at 490 on the y axis. After that you would use rise over run, down 2 units and right three. Do this until you reach the end of the graph, then go oppisite; up 2 left 3
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
I CANNOT figure out how to make the equation into notation form. Can someone please help?
Answers
Answer:
y = x^4-6
y=1/ x-2
Step-by-step explanation:
hope this helps
A whale descends 382.5 feet in 45 seconds. What operation can be used to find the average elevation change of the whale during its descent, in feet per second.
Answers
Answer:
8.5 FPS
Step-by-step explanation:
How would i solve this problem example optional
Answers
Need help thank you very much
Answers
Answer:
The answer to the question provided is
[tex] \frac{5}{24} [/tex]
Answer:
5/24
Step-by-step explanation:
0.21 is the decimal form
28.What is the slope of the line 2x + 5y = 15?
A. 2
B. -2
C.2/5
D.- 2/5
Answers
Answer:
it's -2/5 !
Step-by-step explanation:
A.112
B.136
C.56
D.34
Answers
Answer:
B
Step-by-step explanation:
Hope this help
plz do plz do it all i wil give brainlest and thanks to best answer thank u
Answers
Answer:
17.) D
18.) A
Step-by-step explanation:
length x width x height