Answer:
Step-by-step explanation:
A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].
Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].
Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].
i.e [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles on a straight line)
Thus,
i. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex] (sum of two opposite interior angles is equal to an exterior angle)
⇒ [tex]a^{o}[/tex] = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]
Also,
[tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
But,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] + [tex]b^{o}[/tex])
and
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]
ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])
Also,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex]
⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]
A 39 inch piece of ribbon is cut so that one piece is 3 1\2 inches longer than the other. What is the length of the longer piece of ribbon?
Answer:
longer: 23inches shorter: 16incher
Step-by-step explanation:
Please help me i don't understand. I will give points for explanation too.
Answer:
what is the question and where is it?
Step-by-step explanation:
ANSWER ASAP
What is the length of Line segment B C, rounded to the nearest tenth?
13.0 units
28.8 units
31.2 units
33.8 units
Answer:
28.8
Step-by-step explanation:
Answer:28.8
Step-by-step explanation:
Is 5.1 times 10 to the power of 9 a scientific notation?
Answer:
yes
Step-by-step explanation:
hope it helps
it will be written as 5.1×10^9
Answer:
yes
Step-by-step explanation:
A number in scientific notation consists of the product of a number from 1 to under 10 and an integer power of 10.
5.1 is a number from 1 to under 10.
10^9 is an integer power of 10.
Therefore, 5.1 * 10^9 is a number written in scientific notation.
can someone answer this easy proof
Jeremy find the cost by adding the percents. 25% off of $60 is equal to 15% off of $60, then subtracting 10% from that cost is equal to . The two total costs are
Answer:
a. 25% off of $60 is equal to $45.
b. 15% off of $60, then subtracting 10% from that cost is equal to $45.
c. The two total costs are $45 and $45, and their addition is equal to $90 (i.e. $45 + $45 = $90).
Step-by-step explanation:
These can be determined as follows:
a. Calculation of the first total cost, i.e. 25% off of $60
25% of 60 = 25% * $60 = 15
First total cost = 25% off of $60 = $60 - (25% of $60) = $60 - $15 = $45
Therefore, 25% off of $60 is equal to $45.
b. Calculation of the second total cost, i.e. 15% off of $60, then subtracting 10% from that cost
15% of $60 = $9
10% of $60 = $6
Cost = 15% off of $60 = $60 - (15% of $60) = $60 - $9 = $51
Second total cost = Cost - (10% of $60) = $51 - $6 = $45
Therefore, 15% off of $60, then subtracting 10% from that cost is equal to $45.
c. The two total costs
The two total costs are 25% off of $60 which is equal to $45 and 15% off of $60, then subtracting 10% from that cost which is also equal to $45. The addition of the two costs is $90 (i.e. $45 + $45 = $90).
Therefore, the two total costs are $45 and $45, and their addition is equal to $90 (i.e. $45 + $45 = $90).
Will give brainliest!
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s)
Complete the inverse function for the function given below.
(1) = 21 - 4
() =
T +
Answer:
[tex]f^{-1}(x) = x/2 +2[/tex]
Step-by-step explanation:
let [tex]f^{-1} (x)[/tex] = y
then f(y) = x
2y-4 =x
2y =x+4
y= x/2 +2
hence f^{-1} (x) = x/2 +2
Jogging burns 375 calories in 45 minutes. Determine how many calories burned per hour?
A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an Australian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.
Complete question :
A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an Australian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.
Construct a confidence interval for the mean jump height of gray kangaroos.
Answer:
(271, 301)
Step-by-step explanation:
Given that:
Mean (x¯) = 286
Margin of Error = 15 inches
The confidence interval :
(Mean - Margin of Error), (mean + margin of error)
(286 - 15), (286 + 15)
(271, 301)
Hence confidence interval equals : (271, 301)
What is the answer to this question
Answer:
C
Step-by-step explanation:
Lines that are parallel AND have different y-intercepts will never intersect each other, therefore will have no solutions.
The only correct choice is C as the lines are parallel and have different y-intercepts which means they'll never intersect each other. All the other choices will have their lines intersect each other at some point.
Which of graph has a zero of 4
Graph A.
Graph A has a line passing through (0,4).
.............................................................................
what is the proportion?
Answer:
a part, share, or number considered in comparative relation to a whole.
Step-by-step explanation:
i searched it up on google cause i'm dumb
evaluate the polynomial for the given values of x and y
5x^2y+3xy^2+10y^3; for x= 2 and y= -1
try nio po i-download ung Hiper scientific calculator
sana masagutan nio po
sana makatulong din po ung app na yan
Find a polynomial of lowest degree that has the indicated zeroes: 1+i, 1-i, 3
Answer:
-3i + (6 x 9)
Step-by-step explanation:
The zeroes of the polynomial are 1 + i, 1 – i, and 3. Then the polynomial of the lowest degree will be x³ – 5x² + 8x – 6.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients.
The zeroes of the polynomial will be 1 + i, 1 – i, and 3.
Then the factor of the polynomial will be (x – 1 – i), (x – 1 + i), and (x – 3).
Then the polynomial will be
(x – 1 – i)(x – 1 + i)(x – 3)
[(x – 1)² – i²](x – 3)
(x² – 2x + 2)(x – 3)
x³ – 2x² – 3x² + 2x + 6x – 6
x³ – 5x² + 8x – 6
More about the polynomial link is given below.
https://brainly.com/question/17822016
#SPJ2
(picture)
circle the numbers that are divisble by the number given
Answer:
Hope that this helps!!!
Answer the question please:
The correct answer will be marked as brainliest =)
thanks xoxo
Answer:
sol;
=(3^2)^2×(10)^6
=(3)^4×(10)^6
=81×10^6
=8.1×10^7
=81,000,000
I would REALLY appreciate some help... :(
Evaluate the expressions 7-9
Answer:
7. 64
8. -100000
9. 729
Step-by-step explanation:
Simone claims that the slope of the line through (-2, 7) and (3, 0) is the same as the slope of the line through (2, 1) and (12, -13) is simone's claim true or false
Answer:
Simone is correct
Step-by-step explanation:
Given
Line 1:
[tex](x_1,y_1) = (-2, 7)[/tex]
[tex](x_2,y_2) = (3, 0)[/tex]
Line 2:
[tex](x_1,y_1) = (2, 1)[/tex]
[tex](x_2,y_2) =(12, -13)[/tex]
Required
Is Simone correct?
Slope (m) is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For Line 1
[tex]m = \frac{0 - 7}{3 - (-2)}[/tex]
[tex]m = \frac{0 - 7}{3 +2}[/tex]
[tex]m = \frac{-7}{5}[/tex]
[tex]m = -\frac{7}{5}[/tex]
For Line 2:
[tex]m = \frac{-13 - 1}{12 -2}[/tex]
[tex]m = \frac{-14}{10}[/tex]
Divide by 2/2
[tex]m = \frac{-14/2}{10/2}[/tex]
[tex]m = \frac{-7}{5}[/tex]
[tex]m = -\frac{7}{5}[/tex]
By comparison, both lines have the same slope.
Hence, Simone is correct
y = 4x + 2 :) help please
Answer:
This equation is already complete to its maximum stage.
Step-by-step explanation:
If you want other possibilities of this equation here:
y - 2 = 4x
4x = y - 2
x = [tex]\frac{y - 2}{4}[/tex]
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer: Not enough info
Step-by-step explanation:
HELP PLEASE I NEED TO GET IT DONE BECAUSE ILL BE WITH MY FAMILY AT THANKSGIVING TOMORROW
Solve for x in the diagram below
Answer:
6
Step-by-step explanation:
Straight line is 180
square = right angle=90
180-90=90
5x+(x+54)=90
6x+54=90
6x=36
x=6
Hope this helps :D
Which is equivalent to
^3*square root* 8^1/4x ?
pls hurry it’s a timed test
Answer:
[tex]12\sqrt{8} ^{x}[/tex]
Step-by-step explanation:
Mrs. Reed spent $34 to buy M&Ms and paper clips for her students. She bought a total
of 10 items. If the M&M bags were $3 each and the paper clips were $4 for each box,
how many of each did she buy?
Answer:
Mrs. Reed bought 4 boxes of paper clips and 6 bags of M&Ms.
Explanation:
4 x 4 = 16
3 x 6 = 18
16 + 18 = 34
Answer:
Step-by-step explanation:
Evaluate the expression 4^3÷(7-3) × 2 PLEASE HURRY AND HELP ME I DONT HAVE MUCH TIME TILL ITS DUE
Answer:
The answer is 32.
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
2.) Find the vertex only for the following function:
y = -3x^2 + 12x - 5
Answer:
(2, 7)
Step-by-step explanation:
hope this helps :)
( 1 ) Find by using a formula of (-b/2a, (4ac-b²)/4a)
[tex](\frac{-b}{2a},\frac{4ac-b^2}{4a})\\(\frac{-12}{2(-3)}),(\frac{4(-3)(-5)-(12)^2}{4(-3)})\\(\frac{-12}{-6}),(\frac{60-144}{-12})\\(2,\frac{-84}{-12})\\(2,7)[/tex]
The vertex is at (2,7)
( 2 ) Find by using a derivative (Calculus)
You can also find a vertex by using a calculus. Using a derivative
[tex]y'=-3x^2+12x-5\\y'=-6x+12\\\\[/tex]
Then substitute y' = 0 to get a vertex.
[tex]y'=-6x+12\\0=-6x+12\\-12=-6x\\2=x[/tex]
Then substitute x = 2 in the equation of y = -3x²+12x-5
[tex]y=-3x^2+12x-5\\y=-3(2)^2+12(2)-5\\y=-3(4)+24-5\\y=-12+24-5\\y=-17+24\\y=7[/tex]
x = 2 and y = 7, therefore. The vertex is (2,7)
ill give brainliest if it’s right
Answer:
Yes, the number is in scientific notation. Answer should be D.
Step-by-step explanation:
Answer:
yes thats correct.
For it to be in scientific notation the first part is a number between 1 and 10, and the second part is a power of ten
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?
A) 64
B) 128
C) 8
D) 4
Answer:
the anser is 64 cups
Step-by-step explanation:
half gallon is 8 cups and she bought 8 of them so multiply 8 and 8 or 8^2 and you get 64
pls mark brainliest
Answer:
A. 64 cups
Step-by-step explanation:
There are 16 cups per gallon, so a half gallon would be 8 cups. If she bought 8 bottles that means you must take the 8 bottles times the 8 cups per bottle or just 8*8=64. Answer A. is 64 cups.
If this helped you, which I hope it did, please click the thanks button below.
Thank you! :-D
I need an answer ASAP
Answer:
-6
Step-by-step explanation:
because the roots are the x values of where the function crosses the x axis
so thats at -2 and 3
and product is multiplication
so -2×3= -6
Answer:
The roots/zeroes are where the x-values where the graph touches or passes through the x-axis..They are at -1 and 3. So your answer would be a) -1
Step-by-step explanation:
what is the value of 3x-3 when x equals 3
Answer:
Your answer is 6.
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
Answer:
6
Step-by-step explanation:
when you substitute 3 in for x you get 3(3) - 3
solve the equation
3(3) = 9
9 - 3 = 6
A bakery uses a muffin recipe that uses 1/2 cup of milk for every batch of 12 muffins...... Select Each Correct Answer............
A.(1/24 cup of milk is used to make each muffin.)....B(.1/24 cup of milk is used to make each muffin) C.(1/6 cup of milk is used to make each muffin.) D.(1 cup of milk is used to make each muffin). E. (1 cup of milk is used to make every 12 muffins). F.( 1 cup of milk is used to make every 24 muffins)
(1/2)/12=1/24. So A is correct. There is no difference between A and B... F is also correct....we multiply 12 by 2 to get 1 cup per 24 muffins.
is this right if not please tell me the right answer
Answer: 57% for the first and 41% for the second
Step-by-step explanation:
Treatment 1 consists of 40 people and 23 had improved health take 23 and divide it by 40 and you get 0.575 multiply that by 100 and you get 57% do the same for the second question and you get 0.416 multiply by 100 and you get 41%