Answers
Answer:
Take the information given and create an equation that add up to 360.
Step-by-step explanation:
You might assume the smallest angle to be the given 55, so that would make the third term 120+55. The fourth angle is unknown, x
The equation sets up as
55+65+(55+120)+x = 360
Add all the numbers to get 295.
295+x=360
Subtract 360-295 = x
x=65
The four angles are 55°,65°,175° and 65°
I hope this answers your question!
Related Questions
A student uses the ratio of four oranges to6 fluid ounces to find the number of orange she needed to make 24 fluid ounces of juice the student writes this proportion for over six equals 24/16 explain the error in the students work
Answers
Answer:
they switched the terms 24 is term b and 16 is term a
81x^7/9x^3 a. 9x^10 b. 9x c. 9x^4 d. 81x^7 9
Answers
Answer:
c
Step-by-step explanation:
[tex]\frac{81x^2}{9x^3}\\=\frac{81}{9}*\frac{x^7}{x^3} \\=9*(x^{7-3}) \\=9x^4[/tex]
Answer:
c. 9x⁴
Step-by-step explanation:
aⁿ/aˣ = aⁿ⁻ˣ
81x⁷ / 9x³ = 81/9 x⁷⁻³
= 9 x⁴
c. 9x⁴
Which set of integers is in the right order from least to greatest?
-8,8,6,|-7|,5
|-7|,-8,8,6,5
-8,5,6,|-7|,8
5,6,8,-8,|-7|
Answers
Answer:
-8, 5, 6 , |-7|, 8
Step-by-step explanation:
We can solve the absolute functions to make it easier to determine which set is from least to greatest
-8, 8, 6, 7, 5 x
7, -8, 8, 6, 5
-8, 5, 6, 7, 8
5, 6, 8, -8, 7
Therefore the group of order integers from least to greatest is -8, 5, 6 , |-7|, 8
Se vendieron para una función en el teatro 255 entradas a $130,antes del comienzo de la función,hubo 5 devoluciones,pero luego se vendieron dos entradas más¿cuantas personas asistieron a la función?¿cuanto dinero se recaudó?
Answers
Answer:
Asistieron 252 personas
Se recaudó una cantidad de $ 32760.
252 people attended the show.
$ 32760 amount was raised.
Step-by-step explanation:
Spanish
Número total de entradas = 255
Costo de un boleto = $ 130
Costo total = Número total de boletos * Costo de 1 boleto
= 255 * 130 = $ 33150
Entonces se devolvieron 5 boletos y se vendieron dos más. La cantidad devuelta fue (5-2) * 130 = $ 390
Restando $ 390 de $ 33150 da $ 32760.
Asistieron 252 personas.
Como
255-5 + 2 = 252
y
Se recaudó una cantidad de $ 32760.
Esto también se puede resolver multiplicando = $ 130 * 252 = $ 32760
English
Total number of tickets = 255
Cost of one ticket = $ 130
Total Cost = Total Number of tickets * Cost of 1 ticket
= 255 * 130= $ 33150
So 5 ticket was returned and two more were sold. The amount returned was (5-2) * 130= $ 390
Deducting $ 390 from $ 33150 gives $ 32760.
252 people attended the show.
As
255-5 + 2= 252
and
$ 32760 amount was raised.
This can also be solved by multiplying= $ 130 *252= $ 32760
factorize
ab(ab-bc)+bc(bc-ab)
Answers
Answer:
(ab-bc)²
Step-by-step explanation:
ab(ab-bc)+bc(bc-ab) = ⇒ distribution(ab)² - ab*bc + (bc)² - ab*bc = ⇒ regrouping(ab)² - 2ab*bc + (bc)² = ⇒ applying (x-y)² = x² -2xy +y² formula(ab-bc)² ⇒ final resultAnswer:
(ab - bc)^2.
Step-by-step explanation:
ab(ab - bc) + bc(bc - ab)
= ab(ab - bc) - bc(ab - bc)
= (ab - bc)(ab - bc)
= (ab - bc)^2
can someone help please if right will be marked as brainiest
Answers
you would plug in 2 where the x’s are and 10 where the y’s are.
it works right for the first equation but not the second one , so no.
Answer:
(x,y) = (2/3 , 26/3) .. so no I'm guessing
Step-by-step explanation:
{ y = x = 8 , y=7x+4
= x + 8= 7 x = 4
= x=2/3
= y= 2/3+8
= y=26/3
= )x,y) = 2/3, 26,3
can you guys please help me out with these threee
Answers
Answer:
-3x+14≥3-2x
-3x+2x≥-14+3
-x≥-11
x≥11
8[2x/2-1/4]≤14
8[2x-1/4]≤14
16x-8/4≤14
16x-8≤56
16x≤56+8
16x≤64
x≤64/16
x≤4
if I have if I have 12 avocados that are cut in half how many avacados are there?
Answers
Answer:
you have 12 avacados
Step-by-step explanation:
The question didn't ask how many halves you had. you have this question asking you how many you have TOTAL. not cut in half. if it was in half, you would have 24 halves
plzzzzzzzzzzzzzz fasstttttttttttttttttttttttttttttttt i neeeeeeeeeeeeeeeeeeeded
Answers
Answer:
See bolded below.
Step-by-step explanation:
Attachment 1 : The sum of all exterior angles in any regular polygon will be 360 degrees, so if an exterior angle is found to be 30 degrees, it will have 360 / 30 sides. Therefore 360 / 30 = 12 sides
Attachment 2 : This figure is a concave quadrilateral. You can tell by it's shape, but also as one interior angle, in this case ∠KLM, is greater than 180 degrees.
Attachment 3 : As you can see the missing number is simply sum of the numbers provided on the left. Therefore the missing number will be the following,
1³ + 2³ + 3³ + 4³ + 5³ = 1 + 8 + 27 + 64 + 125
= 125
Attachment 4 : This is an example of the associative property, as it allows you to re - group the numbers. Your solution will be " Associativity. "
Attachment 5 : The cube of a negative integer will always result in a negative integer. Let's take - 3 as an example,
(- 3)³ = - 3 [tex]*[/tex] - 3 [tex]*[/tex] - 3 = 9 [tex]*[/tex] - 3 = - 27
Which of the the following three points are collinear
Answers
Answer:
P,M,R
Step-by-step explanation:
collinear points are two or more points that form a straight line
Option - B is the correct answer.
We have the following figure given in the question.
We have to determine which three points are collinear.
What are Collinear points?Three or more points are said to be collinear if they lie on a single straight line.
According to question, we have to check which three points lie on a straight line.
It can be seen that two set of points - (P, M, R) and (N, M, O) lie on the same straight line. Of the options mentioned one is - (P, M, R).
Hence, the correct option is Option - B.
To solve more questions on Collinear points, visit the link below -
https://brainly.com/question/13069924
#SPJ6
A regular hexagon has vertices at the coordinates listed below. Find the perimeter of the hexagon
(-12, -8).(-12, 7), (0, 16), (12,7), (12, -8), (0, -17)
78
99
90
114
Answers
Answer:
Perimeter of the hexagon = 90 Unit
Step-by-step explanation:
Given:
A(-12, -8). B(-12, 7), C(0, 16), D(12,7), E(12, -8), F(0, -17)
Find:
Perimeter of the hexagon
Computation:
Length = √(x1 - x2)² + (y1 - y2)²
AB = √(-12 + 12)² + (-8 - 7)²
AB = 15
BC = √(-12 + 0)² + (7 - 16)²
BC = 15
CD = √(0 - 12)² + (16 - 7)²
CD = 15
DE = √(12 - 12)² + (-7 - 8)²
DE = 15
EF = √(12 - 0)² + (-8 + 17)²
EF = 15
FA = √(0 + 12)² + (-17 + 8)²
FA = 15
Perimeter of the hexagon = AB + BC + CD + DE + EF + FA
Perimeter of the hexagon = 15 + 15 + 15 + 15 + 15 + 15
Perimeter of the hexagon = 90 Unit
3 5/6 as a mixed number
Answers
Answer:
23/6
Step-by-step explanation:
To convert a mixed number into an improper fraction, multiply the whole number by the denominator, add it to the numerator, and then put it over the denominator.
3 × 6 = 18
18 + 5 = 23
3 5/6 → 23/6
Hope that helps.
Answer:
23/6Step-by-step explanation:
3 5/6
meaning 6 × 3 + 5
= 23/6
In which career would you most likely apply concepts from geometry? A. food critic B. social worker C. radio DJ D. computer game designer
Answers
Answer:
computer game designer
Step-by-step explanation:
even though it may seem fun it takes more skill then a person thinks, plus anything that involves shapes involves geometry
shape=geometry
Answer:
computer game designer
Step-by-step explanation:
computers use simple shapes like squares and cube, and then they customize it to make games.
Write and solve the equation and then check your answer.
Four times a number is thirty-two.
Which statements are true? Check all that apply.
This is a division problem.
This is a multiplication problem.
The correct equation is StartFraction m Over 4 EndFraction = 32.
The correct equation is 4m = 32.
To solve the equation, divide by 4 on both sides.
To solve the equation, multiply by 4 on both sides.
Answers
Answer:
2,4,5
Step-by-step explanation:
2.This is a multiplication problem.
4.The correct equation is 4m = 32.
5.To solve the equation, divide by 4 on both sides.
Answer:
It is 2,4,5 Creds to other person i got it right thank you
Step-by-step explanation:
evaluate the expression for the given value of x.
2x-6;x=9
Answers
Answer:
12.
Step-by-step explanation:
2x - 6; x = 9.
2(9) - 6
= 18 - 6
= 12.
Hope this helps!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{x = 12}}}}[/tex]Step-by-step explanation:
Given,
x = 9
Now, let's find the value of x
[tex] \sf{2x - 6}[/tex]
Plug the value of x
⇒[tex] \sf{2 \times 9 - 6}[/tex]
Multiply the numbers
⇒[tex] \sf{18 - 6}[/tex]
Subtract 6 from 18
⇒[tex] \sf{12}[/tex]
Hope I helped!
Best regards!!
1) (2x - 3)2-(3x - 2)2. Factorize
Answers
Answer
-5x^2+5
Step-by-step explanation:
(2x-3)^2-(3x-2)^2
=4x^2-12x+9-(9x^2-12x+4)
=4x^2-12x+9-9x^2+12x-4
=4x^2+9-9x^2-4
=-5x^2+5
Given, To Factorise
➝ (2x - 3)² - (3x - 2)²
Opening the parentheses,
➝ (4x² - 12x + 9) - (9x² - 12x + 4)
➝ 4x² - 12x + 9 - 9x² + 12x - 4
Arranging the like terms,
➝ 4x² - 9x² - 12x + 12x + 9 - 4
➝ -5x² + 5
➝ -5(x² - 1)[tex].[/tex]
[ Identity :- (a² - b²) = (a + b)(a - b) ]
➝ -5(x² - 1²)
➝ -5(x + 1)(x - 1)
☘ Hence, Factorised !!
━━━━━━━━━━━━━━━━━━━━
The width and the length of a rectangle are consecutive even integers. If the width is decreased by 3 inches, then the area of the resulting rectangle is 24 square inches. What is the area of the original rectangle
Answers
Answer:
Original Area : 48 square inches
Step-by-step explanation:
Let's say that the width of this rectangle is x, and the length of this rectangular is y. Remember that they are even consecutive integers as well, so let's make the length 2 greater than the width.
x = width,
x + 2 = length
And remember that the width decreases by 3 inches, to result in a rectangle of area 24. So the width will be x - 3, and the area will be (x - 3)(x + 2). Therefore we have the quadratic equation (x - 3)(x + 2) = 24, in which we can solve for x and y to determine the area of the original rectangle.
Step # 1 : Expand the expression (x - 3)(x + 2),
x² - x - 6 = 24
Step # 2 : Simplify and factor the expression x² - x - 6
x² - x - 30 = 0 ⇒ (x + 5)(x - 6) = 0
Step # 3 : Apply the Zero Factor Principle
x + 5 = 0, and x - 6 = 0
x = - 5, x = 6
Now remember that the width can't be negative, so it will be 6 inches long. That would make the length 6 + 2 = 8 inches. The area of the original rectangular will be 6 [tex]*[/tex] 8 = 48 square inches.
Answer:
48 square units
Step-by-step explanation:
Let L and W represent the length and width of the rectangle.
L = W +2 . . . . . . assuming the length is more than the width
L(W -3) = 24 . . . . the area after the reduction in width
__
(W +2)(W -3) = 24
So, we're looking for factors of 24 that differ by 5. We know that 24=8·3, so we have ...
W+2 = 8
W = 6 . . . . . . . matches W-3=3, also
Then the length is ...
L = W+2 = 8
and the area of the original rectangle is ...
A = LW = (8 inches)(6 inches) = 48 square inches
George's total points is 5 less than susan's total points. Does geroge need more points or fewer susan points?
Answers
Answer: Need more points.
Step-by-step explanation:
If George's total point is 5 less than susan's points then George needs more points to make up to susan or pass susan's points.
For example ,
g = s - 5 where g is George's points and s is susan's point.
As you can see for G to catch up with s you will need 5 more points.
a container in the shape of a cube. He uses 64 cubes with side lengths of 1 inch to completely fill the container. What is the edge length of the container?
Answers
Answer:
4 inches
Step-by-step explanation:
if the container is 4 x 4 on every side that is 16 one inch cubes per side and 4 x 16 = 64
What is slope - intercept form and what do the variables represent?
Answers
Answer:
Definition and Equation
This form of the equation of a line is called the slope-intercept form. The y-intercept of a line (b), is the y-coordinate of the point where the graph of the line crosses the y-axis. As we have seen in the Wild About Cupcakes example, it is the value of y when x = 0.
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
:)
Answer: Hi!
Slope - intercept form is a type of equation (or formula.) It shows you how to graph a line and find the slope and y - intercept of that line.
Slope - intercept form looks like this: y = mx + b
M represents the slope of the line. B represents the y - intercept.
The y - intercept is where the line would intercept the y - axis. The slope is kind of like the angle the line is at (For example: it slopes downward.)
Hope this helps!
What is the image of (-8,3) after a reflection over the y-axis?
Answers
Answer:
refection in the y axis
(-x,y)
therefore (-8,3)
becomes (8,3)
The weight of a body varies inversely as the square of its distance from the center of the earth. If the radius of the earth is 4000 miles, how much would a 200-pound man weigh 2000 miles above the surface of the earth rounded to the nearest pound? pounds
Answers
Answer:
3,500 + 750 = 4,250
Weight = (3,500 / 4,250)^2 * 180 = 0.678200692 * 180 =
122.08 pounds
Step-by-step explanation:
Problem Fernanda wants to tile her 5 m × 2.5 m 5 m×2.5 m5, start text, space, m, end text, times, 2, point, 5, start text, space, m, end text room. She has two options, granite, and marble. Granite costs 600 600600 rupees per square metre and marble costs 1000 10001000 rupees per square metre. What is the additional cost of using marble to tile the floor instead of granite? rupees
Answers
Answer:
5000 rupees
Step-by-step explanation:
Given the following :
Dimension of room = 5m × 2.5m
Cost of granite = 600 rupees per square meter
Cost of marble = 1000 rupees per square meter
Additional cost of using marble instead of granite :
Area of room = Area of rectangle = Length * width
Area of room = 5m × 2.5m = 12.5m^2
Cost of using granite:
Area of room × cost of granite per square meter
12.5 × 600 = 7500 rupees
Cost of using marble:
Area of room × cost of marble per square meter
12.5 × 1000 = 12,500 rupees
Difference in cost :
(12500 - 7500) rupees = 5000 rupees
Additional cost incurred if marble is used = 5000 rupees
please someone help me to prove this.
Answers
Answer: see proof below
Step-by-step explanation:
Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ
Use the Sum/Difference Identities:
sin(α + β) = sinα · cosβ + cosα · sinβ
cos(α - β) = cosα · cosβ + sinα · sinβ
Use the Unit circle to evaluate: sin45 = cos45 = √2/2
Use the Double Angle Identities: sin2Ф = 2sinФ · cosФ
Use the Pythagorean Identity: cos²Ф + sin²Ф = 1
Proof LHS → RHS
LHS: 2sin(45 + 2A) · cos(45 - 2A)
Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)
Unit Circle: 2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]
Expand: 2[(1/2)cos²2A + cos2A·sin2A + (1/2)sin²2A]
Distribute: cos²2A + 2cos2A·sin2A + sin²2A
Pythagorean Identity: 1 + 2cos2A·sin2A
Double Angle: 1 + sin4A
LHS = RHS: 1 + sin4A = 1 + sin4A [tex]\checkmark[/tex]
I have to solve for x how do I do this
Answers
Answer: [tex]x = \frac{\pi}{4} \ \text{radians}, \ \ y = \frac{\sqrt{2}}{2}[/tex]
Note: pi/4 radians is equal to 45 degrees
===========================================
To get this answer, you can use the unit circle to see that at 45 degrees or pi/4 radians, the sine and cosine value are both [tex]\frac{\sqrt{2}}{2}[/tex]
You could also use your calculator to graph y = sin(x)-cos(x) to find the x intercept in the interval [tex]0 < x < \frac{\pi}{2}[/tex] to find the approximate x intercept to be x = 0.70710678
Then note how [tex]\frac{\sqrt{2}}{2} \approx 0.70710678[/tex]
-----------------------------
Or you could do the following steps
sin(x) = cos(x)
sin^2(x) = cos^2(x)
sin^2(x) = 1 - sin^2(x)
sin^2(x) + sin^2(x) = 1
2sin^2(x) = 1
sin^2(x) = 1/2
sin(x) = sqrt(1/2)
sin(x) = sqrt(2)/2
Again you'll have to turn to the unit circle, or some reference sheet, to determine the x value that makes the last equation above to be true. That x value is x = pi/4 radians.
A rectangular flour canister has dimensions of 512 inches by 4 inches by 10 inches. A smaller sugar canister has dimensions of 312 inches by 3 inches by 8 inches. How much smaller is the volume of the sugar canister than the flour canister? 84 cubic inches 136 cubic inches 220 cubic inches 304 cubic inches
Answers
Answer:
The correct option;
136 cubic inches
Step-by-step explanation:
The dimension of the rectangular flour canister are;
Length = 5 1/2 inches (5.5 inches)
Width = 4 inches
Height = 10 inches
The dimensions of the smaller sugar canister
Length = 3 1/2 inches (3.5 inches)
Width = 3 inches
Height = 8 inches
The volume of a cube is given by the relation;
V = Length × Width × Height
Therefore, we have;
The volume of the rectangular flour canister = 5 1/2 × 4 × 10 = 220 in³
The volume of the rectangular sugar canister = 3 1/2 × 3 × 8 = 84 in³
The difference in volume between the two canisters = 220 in³ - 84 in³ = 136 in³
The difference in volume between the two canisters = 136 in³
Answer:
Yeah, what they said. Above.
Step-by-step explanation:
Look at the image.
Point F, point B, and point C are linears.
|AD|= |FB|= |BC| , [FD] is a perpendicular of [AC] .
Angle DFC= 12°
find the value of angle BAC= x
(with detail please)
Answers
ans:39
Tap on the photo
first prove triangle BHC similar to FDC.Reason(AA)
then,provrSBH and GBH congruent(SAS)
CB=CG
CBG is an isolesis triangle
angle G and CBG is X
angle BCG=180-90-12=180-78=102
X=(108-102)/2=39
Answer:39°
Step-by-step explanation:
If you know some properties of circle you may solve it like this:
Since ∠CDF = 90°, FC is the diameter of the circle passing through C, D and F.
So B is the centre of the circle mentioned above as B is the mid-point of FC.
Then we have BF = BC = BD since they are all radii of the same circle.
∠BDF = ∠BFD = 12°
∠BDA = 90° + 12° = 102°
∠BDA + ∠BAD + ∠ABD = 180°
102° + x + x = 180°
x = (180° - 102°)/2 = 39°
To issacchoy1234: Nvm if you don't understand, this will be taught in 2nd term of S4 ;)
Jack plays basketball for 8 minutes and makes 14 points. If he plays for a total of 21 minutes, approximately how many points will Jack make?
Answers
So he makes 14 points per 8 minutes, and you need to find how many points he scores in 21 minutes.
[tex]\frac{8}{14} = \frac{21}{x}[/tex]
To get from 8 to 21, you have to multiply by 2.625
So do the same thing to the denominator; 14 × 2.625 = 36.75
Since 0.75 point is no point so you round down.
Jack scores 36 points in 21 minutes.
♡ Hope this helps! ♡
❀ 0ranges ❀
Answer:
x =36.75 points or approximately 37 points
Step-by-step explanation:
We can use a ratio to solve
8 minutes 21 minutes
----------------- = ----------------
14 points x points
Using cross products
8x = 14*21
8x =294
Divide by 8
8x/8 = 294/8
x =36.75 points or approximately 37 points
Evaluate the expression 2(8 − 4)2 − 10 ÷ 2 please help
Answers
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
2(8-4)2 - 10 divided by 2 = 11
you are given the expressions 76+n and 2n + 26. What is the smallest value of n that will make each number rational?
Answers
Answer:
The smallest value of n is 5.
Step-by-step explanation:
The expressions provided are:
[tex]1. \sqrt{76+n}\\\\2. \sqrt{2n+26}[/tex]
Rational numbers are those numbers that can be expressed in ratio or fractional form, i.e. in the form of [tex]\frac{p}{q}[/tex].
The provided numbers have denominators as 1.
We need to find the minimum value of n to make both the numbers a perfect square.
Consider the first number,
[tex]\sqrt{76+n}=\sqrt{76+5}=\sqrt{81}=9[/tex]
The number [tex]\frac{9}{1}[/tex] is a rational number.
Consider the second number,
[tex]\sqrt{2n+26}=\sqrt{(2\times5)+26}=\sqrt{36}=6[/tex]
The number [tex]\frac{6}{1}[/tex] is a rational number.
Thus, the smallest value of n is 5.