(i) Pairs of neighboring angles are supplementary and opposite angles have the same measure.
(ii) The two angles formed by a line coming out of another line are supplementary.
How to analyze pairs of angles
(i) When two straight lines pass through each other, then two pairs of opposite angles are constructed. A pair with angles of [tex](3\cdot x + 52)^{\circ}[/tex] and another pair with angles of [tex](2\cdot x + 2)^{\circ}[/tex], each pair of angles with different measures are supplementary.[tex]\blacksquare[/tex]
(ii) When a straight line comes out of another straight line, from a point distinct to any endpoint of the former, then we construct two supplementary angles. The largest angle has a value of [tex](10\cdot x + 20)^{\circ}[/tex], whereas the smaller one has a value of [tex](6\cdot x + 8)^{\circ}[/tex]. [tex]\blacksquare[/tex]
To learn more on angles, we kindly invite to check this verified question: https://brainly.com/question/15767203
Which expression finds the measure of an angle that is coterminal with a 45° angle? 45° 90° 45° 180° 45° 270° 45° 360°.
Coterminal angles are measured from the positive x-axis. The coterminal angle for angle 45° is (270°+45°).
What are coterminal angles?Coterminal angles are angles that are made by the positive x-axis of the coordinate plane.
Given to us
θ = 45°
We know that coterminal angles are those angles that are measured from the positive x-axis of the coordinate plane.
In order to find the angle coterminal with a 45° angle, we will deduct θ from 360°, therefore we will measure the from positive x-axis but in the clockwise direction.
[tex]\theta _1 = 360^o - \theta\\\\\theta _1 = 360^o - 45^o\\\\\theta _1 = 315^o\\\\\theta _1= 270^o + 45^o[/tex]
Hence, the coterminal angle for angle 45° is (270°+45°).
Learn more about Coterminal Angle:
https://brainly.com/question/21384986
Answer:
c.45° + 270°
Step-by-step explanation:
At the beginning of the school year, the bookstore
had 130 copies of the third grade math book
By the end of the first month of school, all but
16 books were sold. How many math books were
sold during the first month of school?
Answer:
114 books.
Step-by-step explanation:
I'm pretty sure what you have to do is just subtract 16 from 130. (130-16).
When you do that you get 114 books. (sorry for basically no explanation.)
Find the volume of a sphere, whose diameter is 8 mm.(Take n = 3.14) (Round your answer to the nearest tenth).
[tex] \\ [/tex]
Diameter sphere = 8mm[tex]\small \pi = 3.14[/tex][tex] \\ [/tex]
To find:-Volume of sphere[tex] \\ [/tex]
Solution:To find volume of sphere first we have to convert Diameter into radius .
Diameter = 2 radius
So:-
⇢Diameter = 2 radius
[tex]\\[/tex]
⇢Radius = Diameter/2
[tex]\\[/tex]
⇢Radius = 8/2
[tex]\\[/tex]
⇢Radius = 2 × 2 × 2/2
[tex]\\[/tex]
⇢Radius = 2 × 2/1
[tex]\\[/tex]
⇢Radius = 4/1
[tex]\\[/tex]
⇢Radius = 4 mm.
[tex]\\[/tex]
Now Finally Let's find volume of sphere.
We know:-
[tex]\\[/tex]
[tex]\star\boxed{\rm Volume~of~sphere=\frac{4}{3}\pi r^3}[/tex]
so:-
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere=\frac{4}{3}\times 3.14 \times 4^3\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 4^3\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 4\times 4\times 4\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 64\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere=1.33\times \dfrac{314}{100} \times 64\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere= \dfrac{1.33\times314 \times 64}{100}\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere= \dfrac{26,727.68}{100}\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere=26,7.28 (approx)\\[/tex]
[tex]\\\\[/tex]
[tex] \therefore \underline{ \textbf{ \textsf{Volume~of~sphere = \red{26,7.28(approx)}}}}[/tex]
Direction: Determine the measure of each of the following angles. Then, classify it as acute, obtuse or right angle.
Answer:
11. 130°, obtuse angle
12. 40°, acute angle
13. 90°, right angle
14. 110°, obtuse angle
15. same as 14, I guess?
Step-by-step explanation:
questions 11, 14, 15 - an obtuse angle is an angle greater than 90° but less than 180°
question 12 - an acute angle is an angle that is less than 90°
question 13 - a right angle is exactly 90°
in question 14 the angle starts at 30° and ends at 140° so you subtract 30 from 140
hope this helps :)
Please help I will give brainliest.
Answer:
C
Step-by-step explanation:
1 + 0.02 means the 2% growth every month, power 12 means for 12 month, and power of 2 mean 2 years.
Erin reads 76 pages in 2 hours at ths rate how many pages would he read in 5 hours
Answer:
190 pages
Step-by-step explanation:
To solve the # of pages he would read in 5 hours, let's first find the number of pages he reads in one hour.
76 pages ÷ 2 hours38 pages per hourNext, we multiply 38 by 5.
38 × 5190 pagesTherefore, the answer is 190 pages.
Answer:
190 pages
Step-by-step explanation:
Given the following question:
Erin read 76 pages in 2 hours...
How many pages would he have read in 5 hours?
In order to find the answer, we divide the number of pages he read in two hours by two. To find the number of pages he reads in 1 hour, then just multiply that answer by five.
[tex]2h=76p[/tex]
[tex]4h=76+76=152p[/tex]
[tex]76\div2=38[/tex]
[tex]152+38=190[/tex]
[tex]5h=190p[/tex]
In five hours, Erin would have read "190 pages" of his book.
Hope this helps.
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary 6,−4, 8/3
Step-by-step explanation:
with the introduction of fractions it is clear we are multiplying things to get the sequence.
that makes this a geometric sequence, meaning that every new term is created by multiplying the previous term by a certain constant number, the ratio r.
what do we have to multiply with the first term (6) to get -4 ?
6×r = -4
r = -4/6 = -2/3
to check we use the same factor with the second term and see, if we get the predefined third term :
-4 × -2/3 = 8/3
correct, perfect.
so,
a0 = 6
an = an-1 × -2/3 = a0 × (-2/3)^(n-1) = 6 × (-2/3)^(n-1)
for the sum of a finite number of terms of a geometric sequence the formula is :
Sn = a0×(r^n - 1) / (r - 1) if |r| > 1
Sn = a0×(1 - r^n) / (1 - r) if |r| < 1
Sn = a0×n if r = 1
in our case : |-2/3| = 2/3 < 1
S8 = 6×(1 - (-2/3)⁸) / (1 - (-2/3)) =
= 6×(1 - 256/6561) / (3/3 - -2/3) =
= 6×(6561/6561 - 256/6561) / (5/3) =
= 6×(6305/6561) × (3/5) = 2×(6305/2187) × (3/5) =
= 2×(1261/2187) × 3 = 2×(1261/729) =
= 2522/729 = 3.459533608...
≈ 3.46
Complete the function operation.
For the function [tex]\frac{32}{x+3}[/tex], find [tex](g^{-1} * g)(5)[/tex]
Answer:
5
Step-by-step explanation:
[tex]g(x)=\frac{32}{x+3}\\\\\implies g^{-1}(x)=\frac{32}{x}-3\\\\g^{-1}o \ g=[g(g^{-1}(x))]=\frac{32}{\frac{32}{x}-3+3}=x\\\\\implies (g^{-1}o \ g)(5)=5[/tex]
Which decimal is less than 2.87? 2.859 C. 2.971 b. 2.8711 d. 2.88 Please select the best answer from the choices provided
Answer:
Step-by-step explanation:
2.859 is less than the rest
Answer:
2.859 is ur answer.
..............
Find the measure of x
Answer:
x=3.24
Step-by-step explanation:
cos(29)=x/3.7
x=3.7 cos(29)
x=3.24
Hope it helps!
A Uber charges $3.50 for pick up and $0.40 per mile. The ride costs $7.50. How far did they travel?
a pet company makes a small bag that holds 2 pounds of dog food. They want a large bag of 40 pounds. What factor will the surface area of the bag increase ?
Answer: 20
Step-by-step explanation:
You do 40➗2 which you would get 20.
Then you would round 20 to the nearest tenth, then you get 20.
Because if the number on the left/right is between 0 and 4, the whole number stays the same.
Note: 0-4 stays the same 5-9 higher number.
For example: Rounding 164 to the nearest tenth will become 160.
A patient has a disease.
She has 43 body cells affected on day 1.
The number of affected cells doubles every day.
The disease becomes serious when 210 body cells are affected.
On which day does the disease become serious?
You must show your working.
Answer:
yes
Step-by-step explanation:
no
Brainliest for correct answer !! :D
f (x) = 3x - 5 g (x) =2^x find fg(3)
(fog)(3) = 22
Step-by-step explanation:
f(x + 3x - 5; g(x)=x²9(3)=3²=9
(fog)(3) = f(g(3)) = f(9)=3-9-5=27
-5-22 [Ans]
A plane has traveled 26 miles on a course heading 48º east of north. How far north (x) has the plane traveled at this point, to the nearest tenth of a mile?
Answer:
17.39
Step-by-step explanation:
48+a = 90
x= 42
sin 42 = x / 26
x = 17.39
An angle bisector of a triangle divides the opposite side of the triangle into segments 6 and 4 in. long. The side of the triangle adjacent to the 6-in. segment is 9 in. long. How long is the third side of the triangle?
Answer:
6 in
Step-by-step explanation:
The angle bisector divides the opposite side into segments that are proportional to the other 2 sides.
let the third side of the triangle be x , then
[tex]\frac{9}{x}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )
6x = 36 ( divide both sides by 6 )
x = 6
The third side of the triangle is 6 in
help plssssssssssssssssss
Answer:
28.26 units³
Step-by-step explanation:
gi solved kopo yan
Identify the slope and y-intercept of each linear function's equation.
Answer:
1) Slope = -1, y-intercept = 3
2) Slope = 1, y-intercept = -3
3) Slope = -3, y-intercept = 1
4) Slope = 3, y-intercept = -1
Step-by-step explanation:
In order to identify slope and y-intercept, you must find where each variable hits each axis when the other is 0.
For example, to find the y intercept of y=2x-4, you would substitute 0 in for x and solve for y.
y = 2(0)-4 --> y = -4
Thus, the point is (0, -4) with slope of 2. (The slope can be found by identifying the number, m, in front of 'x' from the equation y = mx + b.
Answer:
A. y = 3x-1; slope is 3 and y-intercept is -1
B. -x+3 = y; slope is -1 and y-intercept is 3
C. x-3 = y; slope is 1 and y-intercept is -3
D. y = 1-3x; slope is -3 and y-intercept is 1
Step-by-step explanation: woof
An item is regularly priced at $95 it is on sale for 80% off the regular price.How much in dollars is discounted from the regular price?
Answer:
$76
Step-by-step explanation:
Regular price: $95
Discount %= 80%
What is 80% of 95
=) [tex]\frac{80}{100}[/tex]×[tex]\frac{95}{1}[/tex]= 76
So, $76 are discounted
Hope this helps!
If 3a+5=12, what is the value of 6a+14?
Answer:For example, choice A is incorrect because if the value of 10x + 3 were 4, then it would follow that x = 0.1, and the value of 5x + 6 would be 6.5, not 10.
Step-by-step explanation:
The answer is
283a + 5 = 12
subtract 5 from both sides
3a = 7
divide by 3 on both sides to isolate "a"
a = 7/3
Substitute 7/3 for "a" in the second equation
6(7/3) + 14
6 multiplied by 7/3 = 42/3 = 14
14 + 14 = 28
Which logarithmic equation is equivalent to 25 = 32? log232 = 5 log532 = 2 log325 = 2 log25 = 32.
Logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.
What is the Logarithm function?A log function is a way to find how much a number must be raised in order to get the desired number.
[tex]a^c =b[/tex]
can be written as
[tex]\rm{log_ab=c[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
Given to us
2⁵ = 32
As we know that we can convert a number powered to another number therefore exponential function into a log function, thus,
[tex]2^5 = 32\\\\\rm log_2 32 = 5[/tex]
Hence, the logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.
Learn more about Logarithmic function:
https://brainly.com/question/7302008
Six cantaloupes are cut up and served into thirty-two equal portions for a catering event. Which of the following shows the amount of cantaloupe in each portion?
Answer:
Step-by-step explanation:
Take the six cantaloupes divide it by 32 pieces 6 divided by 32 is 0.1875
The amount of the cantaloupe in each portion will be;
⇒ 5.33
What is mean by Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Six cantaloupes are cut into 32 equal portions for a catering event.
Now,
Since, Six cantaloupes are cut into 32 equal portions.
Hence,
In each portion, the amount of cantaloupe = 32 ÷ 6
= 32 / 6
= 5.33
Therefore,
The amount of the cantaloupe in each portion will be;
⇒ 5.33
Learn more about the division method visit:
https://brainly.com/question/25018554
#SPJ1
PLEASE ANDWER ASAP WILL GIVE BRAINLIEST
choose all fractions equivalent to each given fraction
Answer:
(a) Yes Yes No No
(b) Yes No No Yes
Step-by-step explanation:
(a) [tex]\frac{-9}{10}=-\frac{9}{10}[/tex]
[tex]\frac{9}{-10}=-\frac{9}{10}[/tex]
[tex]\frac{-9}{-10}=\frac{9}{10}[/tex]
[tex]\frac{9}{10}=\frac{9}{10}[/tex]
(b) [tex]\frac{-3}{8}=\frac{3}{-8}[/tex]
[tex]\frac{3}{8}=\frac{3}{8}[/tex]
[tex]\frac{-3}{-8}=\frac{3}{8}[/tex]
[tex]-\frac{3}{8}=\frac{3}{-8}[/tex]
(6,5) and (3, 7.5)
slope:
Step-by-step explanation:
Slope formula:
[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]
m = slope
Substitute the points into the formula format:
[tex] \frac{7.5}{3} - \frac{5}{6} = m[/tex]
Solve:
[tex] \frac{ 7.5}{3} - \frac{5}{6} = \frac{2.5}{ - 3} [/tex]
[tex] \frac{ 2.5}{ - 3} = - \frac{5}{6} [/tex]
The slope equals -5/6.
ANSWER PLS FREE BRAINLIEST
Answer:
[tex]x = \frac{-1}{4}[/tex]
Step-by-step explanation:
[tex]\frac{2}{x} = -8[/tex]
[tex]2 = -8x[/tex]
[tex]x = \frac{-2}{8}[/tex]
[tex]x = \frac{-1}{4}[/tex]
Answer:
[tex]\sf x=-\cfrac{1}{4}[/tex]
Step-by-step explanation:
[tex]\sf \cfrac{2}{x}=-8[/tex]
[tex]\sf \cfrac{2}{x}x=-8x[/tex]
[tex]\sf 2=-8x[/tex]
[tex]\sf \cfrac{-8x}{-8}=\cfrac{2}{-8}[/tex]
[tex]\sf x=-\cfrac{1}{4}[/tex]
Of the following transformations, which of the following is not one that maintains congruence?
a. A dilation with a scale factor of 0.5
b. A reflection over the x-axis
c. A translation 1 unit left
d. A dilation with a scale factor of 1
Answer:
A because its not the one that maintains congruence
Step-by-step explanation:
^^^^^
The soccer team is selling bags of popcorn for $3 each and cups of lemonade for $2 each. To make a profit, they must collect a total of more than $120. Solutions can be represented by coordinates (p,c), where p represents the number of bags of popcorn sold and c represents the number of cups of lemonade sold. Is the coordinate (10,45) a solution to the inequality? Explain your reasoning or show your work.
3x + 2y ≥ 120
you are asking me to confirm whether the below statement is true
10 * 3 + 45 *2 ≥ 120 ?
30 + 90 = 120
120 ≥ 120
its not greater but its equal which means it is a possible solution
Bella needs 15 quarters of paint for one wall in her cellar she has 2 1/4 gallons left over from painting the other walls she has another 5 quarts that her neighbor gave her is that enough paint
0.0455 quarters of paints is not enough to paint the wall. she needs 15 quarters.
She needs 15 quarters of paint for one wall .
She has 2 1 / 4 gallons left over from painting the other walls and she also has another 5 quarts that her neighbour gave her.
Therefore,
Conversion of measurement units4 quarts = 1 gallon
5 quarts = 5 / 4 gallons
Then,
total gallon = 9 / 4 + 5 / 4 = 14 / 4 = 7 / 2 gallons
Therefore,
1 gallons = 0.01301053418982 quarters
7 / 2 gallons = ?
cross multiply
number of quarters = 3.5 × 0.01301053418982
number of quarters = 0.0455 quarters
Therefore, 0.0455 quarters of paints is not enough to paint the wall. she needs 15 quarters.
learn more on algebra here; https://brainly.com/question/821377
How many kilograms is a rice packet that weighs 750 g?
(Please answer quick!)
Answer:
0.750 kg
Step-by-step explanation:
Hi there ,
As you know 1 kg = 1000g
So when we convert g to kg then we divide the given value of grams by 1000.
So in this case we have 750 grams, changing it we have :
[tex]\frac{750}{1000}[/tex]
Since there are 3 zeroes in 1000 we move the decimal point by 3 places to the left leaving the answer as : 0.750 kg or [tex]\frac{750}{1000}[/tex] kg
Please mark me as brainliest if you found the above answer helpful
HELPPPP I need the answer for this math equation
Answer:
4x-8u+10
Step-by-step explanation:
You take the -2 inside the brackets to remove the brackets. (parenthesis=brackets)
-2×-2x=4x
-2×+4u=-8u
-2×-5=10
4x-8u+10