Answer: 150.77 and 29.23
==============================================
Explanation:
x = larger angle
y = smaller angle
x-y = difference of the angles = 121.54
x-y = 121.54 is one equation
x+y = 180 is the other equation since supplementary angles always add to 180 (they form a straight line).
We have this system we're working with
[tex]\begin{cases}x-y = 121.54\\x+y = 180\end{cases}[/tex]
Add the equations straight down.
x+x = 2x-y+y = 0y, the y terms go away121.54+180 = 301.54We're left with this reduced equation
2x = 301.54
Divide both sides by 2 to isolate x
x = 301.54/2
x = 150.77
Use this to find the value of y
x-y = 121.54
150.77-y = 121.54
-y = 121.54-150.77
-y = -29.23
y = 29.23
Or we could say
x+y = 180
150.77+y = 180
y = 180-150.77
y = 29.23
---------------
Summary:
x = 150.77 and y = 29.23 are the two angles.
I'll let you check the answers.
Answer:
150.77° and 29.23°
Step-by-step explanation:
Let:
x = the biggest supplementary angley = the smallest supplementary angleThe sum of the angles is 180*
The difference is 121.54°
The system of equations:
[tex]\left \{ {{x+y=180} \atop {x-y=121.54}} \right.[/tex]
Solve:
Eliminate y by adding vertically[tex]\begin{array}{ccc}x+y=180\\+(x-y=121.54)\end/[/tex] 2x + 0 = 301.542x = 301.54x = 150.77Now we know what x is, we can plug it into the first equation to solve for y.
x + y = 180150.77 + y = 180y = 29.23-Chetan K
If rx – st = r, which expression represents r.
Answer:
[tex]{ \tt{rx - st = r}}[/tex]
» Collect like terms, r terms on the left hand side by subtracting r from both sides and adding st to both sides
[tex]{ \tt{(rx - st) { \green{ - r + st }} = r{ \green{ - r + st}}}} \\ { \tt{rx - r = st}}[/tex]
» On the left hand side, factorise out r
[tex]{ \tt{ \green{r(x - 1)} = st}} \\ \\ { \boxed{ \tt{ \blue{ \: r = \frac{st}{x - 1} }}}}[/tex]
type the following expression in the answer blank:
x
+
3
x
+
2
x
+
3
x
+
2
Answer: I know simplified it is -x^2 + 8x + 1
The degree of the simplified expression is 2.
It is a monomial
I am almost positive it is constant.
Hope this helped
:D
Step-by-step explanation: Ps. Sorry if anything is incorrect, math is my worst subject but I am pretty sure everything is correct.
What is the volume, in cubic feet, of a cube with an edge length of 8 feet?
Answer:
volume of this cube is 512 feet³
Step-by-step explanation:
cubic volume = a³ here a is the side length
here the side length is 8 feet
so, volume = 8³ = 512 feet³
1
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A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius.
Each of the central angles has a measure of 40°. How many sides does the polygon have?
V
O 8
0 ООО
10
O 12
Mark this and return
Save and Exit
Next :
1. Submit
Answer:
9 sidesStep-by-step explanation:
Each central angle represents a side of the polygon.
The number of sides is:
360 / 40 = 9We know in a circle the centre angle is 360°
Now each side is corresponded by the centre.So number of sides of polygon
[tex]\\ \sf\longmapsto \dfrac{360}{40}[/tex]
[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]
[tex]\\ \sf\longmapsto 9[/tex]
Fill in the blanks:
Use unit rates to determine the better buy and provide the unit price for your answer. Round your answer to the nearest
hundredth, if necessary.
A) $3.15 for 300 index cards $
per index card
B) $1.35 for 50 index cards S
per index card
Option
is the better buy
Continue>
.
a. Color and compare.
Which is greater 3/4 or 5/6
Answer:
5/6 is greater
Step-by-step explanation:
Fill in the blanks with the fractions 3/4 and 5/6. Simply transmit their denominators to other fractions while altering their location to cross multiply them ( numerator should be on same side e.g the fractions with numerator 3 is on the left side, so it should be there only).
PLEASE HELP WITH THIS MY DEADLINE IS TMW
Answer:
Left 3, down 3
Step-by-step explanation:
Moves to the left 3 and goes down 3
Just graph that on desmos and then use desmos as a refernece to draw your graph
estimate the value of the following by rounding of values 4196×673
Answer:
2823908
Step-by-step explanation:
Tashia paid two months rent and a $500 security deposit when she signed her lease. In total, she paid $2,400.
a) Write an equation to represent the scenario.
b) What is the cost of rent for one month?
The equation that represents the scenario is 2x + 500 = 2400
The cost of one month rent is $950
She paid two months rent and a $500 security deposit when she signed for a lease. In total she paid $2400.
let
the cost of a month rent = x
Therefore,
Total cost Equation2x + 500 = 2400The cost of the one month rent can be calculated as follows:
2x + 500 = 24002x = 2400 - 5002x = 1900x = 1900 / 2x = $950Therefore, the equation that represent the scenario and cost of one month rent are as follows;
2x + 500 = 2400cost of one month rent = $950learn more on equation here: https://brainly.com/question/8057577
Please help I don’t know what to do I’m panicking
Answer:
I think its 20 units but I'm unsure
Step-by-step explanation:
Someone help me with geometry
The formula to find the distance between two points is:
d = √[(x2 − x1)² + (y2− y1)²]
distance between (3,4) and (21,4) = 18 cm
distance between (21,4) and (12,16) = 15 cm
distance between (12,16) and (3,4) = 15 cm
height = point in half of the base and the the top point so its (12,16) and (12,4) and the distance between them = 12
triangle perimeter = is the sum all sides
= 48 cm
Triangle area = 0.5 * base * height
= 0.5 * 12 * 18 = 108 cm²
difference between a number line and a number track
Answer:
What's the difference between a number track and a number line? A number track is a sequence of numbers, each inside its own square. ... Whereas, a number line is where the numbers are attached to markers on a line. This method of addition / subtraction comes later.
Random groups of 30 teachers were asked the starting annual salary for theirfirst teaching job. The sampling variability was low. If the average salary of several of the groups was close to $59,000, which of these is least likely to be the average salary of another one of the groups?
Answer:
C. $69,000
Step-by-step explanation:
just did it on the test
Help me please if you can
Answer:
the answer to your question is 37.
Step-by-step explanation:
all you need to do is add up all of the sides
Two printers can complete a job in 2 hours. The faster printer can do the job, operating alone, in 4 hours. How long would it take the slower printer, operating alone, to do the job?
Answer:
Let x equal the amount of time required for the second press to complete the job on its own.
The second press then operates at a rate of 1/x of the job per hour.
The two presses work together at a rate of 1/2 of the job per hour.
And the first press operates at a rate of one-sixth of the job per hour.
As a result, our equation to solve is:
1/6+1/x=1/2 multiply each term by 6x x+6=3x subtract x from each side x-x+6=3x-x group like terms together
2x=6 multiply both sides by 2 x=3 the number of hours required for the second press to finish the job
CK
1/6+1/3=1/2
1/6+2/6=1/2\s3/6=1/2
1/2=1/2\salso\s(1/6)*2=1/3\s(1/3)*2=2/3\s2/3+1/3=1 (Only one job)
1=1
If the numbers below were ordered from least to greatest, which number could you use to replace the ____?
1/8, ____ 3/10, 0.6, 3/4
A. 1/5
B. 0.33
C. 2/5
D. 0.8
Use a calculator to find the angle measure to the nearest degree for sin-1 (0.7071).
45 Points as well!
[tex]\\ \tt\hookrightarrow \theta=sin^{-1}(0.7071)[/tex]
Let's use calculator[tex]\\ \tt\hookrightarrow \theta=44.99°[/tex]
Fact about sine(sin)
[tex]\\ \tt\hookrightarrow Sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
HELP ME OUT PLS!!!!
3) Which transformation is the result of reflecting the original figure across the y-axis and then across the x-axis?
A) A
B) B
C) C
D) D
Answer: D
Step-by-step explanation: when u reflect once it lands in the top right then again bottom right
Mr. Jacob arrived at his school at 07:10 and left at 15:45. How long was he in his school?
Answer:
he stayed 8 hours and 35 minutes
Step-by-step explanation:
15 -7 =8
45-10=35
BRO PLS I HAVE TO PASS THIS (click for question) 20 POINTS!
Answer:
D, E.
Step-by-step explanation:
Simplify the expression inside the parentheses:
[tex]3(23 + 18) < 6a[/tex]
[tex]3(41) < 6a[/tex]
Multiply:
[tex]123 < 6a[/tex]
Substitute each value provided for a:
Opt A. 123 < 6(18) = 123 < 108. Incorrect option.
Opt B. 123 < 6(19) = 123 < 114. Incorrect option.
Opt C. 123 < 6(20) = 123 < 120. Incorrect option.
Opt D. 123 < 6(22) = 123 < 132. Correct option.
Opt E. 123 < 6(24) = 123 < 144. Correct option.
A hotel charges $89.95 per day, plus additional charges for room service. Colin stays at the hotel for 3 days and his bill is $302.53. How much was Colin charged for room service?
Answer:
32.68
Step-by-step explanation:
89.95$=1 day so 89.95 x 3=269.85
subtract that and that's your answer or add to get to 302.53 from 269.85 which is 32.68
What is the answer to 4x plus 60
Answer:
It is not possible to add them together
Step-by-step explanation:
Since you dont know what x is, you cannot add it to 60
Michelle borrows a total of $2500 in student loans from two lenders. One charges 4.4% simple interest and the other charges
5.7% simple interest. She is not required to pay off the principal or interest for 2 yr. However, at the end of 2 yr, she will owe a
total of $ 246 for the interest from both loans. How much did she borrow from each lender?
The amount borrowed from the the lender that charges 4.4% interest is $1000.
The amount borrowed from the the lender that charges 5.7% interest is $1500.
What are the linear equations that can be derived from the question?a + b = $2500 equation 1
0.088a + 0.114b = $246 equation 2
Where:
a = amount borrowed from the lender that charges 4.4% interest
b = amount borrowed from the lender that charges 5.7% interest
How much was borrowed from the lender that charges 5.7% interest?Multiply equation 1 by 0.114
0.114a + 0.114b = 285 equation 3
Subtract equation 2 from equation 3
39 = 0.026b
b = $1500
How much was borrowed from the lender that charges 4.4% interest?
Substitute for b in equation 1
a + $1500 = $2500
a = $2500 - $1500
a = $1000
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
Can someone tell me what im doing wrong please. Lookbat pic ty. This what I'm getting 3x-5 +145=180
3x=180degrees subtract 145 plus 5
3 divide 30
X=10 ?
Answer:
x=50º
Step-by-step explanation:
They are vertical angles, so they have the same degree
145=3x-5
150=3x
x=50
Dennis says that 1 1/2,1 2/4, and 1 3/6 are all equivalent. Is he
correct?
Answer: Yes
Step-by-step explanation:
Most fractions can be simplified into smaller fractions, while some are in it's simplest form. When putting a bit in its simplest form it is much easier to compare to other fractions
What I did first tried to simplify all the factions, starting with 1 1/2.
After looking at 1 1/2, I can see that it is in its simplest form.
Then looking at 1 2/4 I can see that it can be simplified into 1 1/2.
Lastly looking at 1 3/6 I can see that it can be simplified into 1 1/2.
Sumner made 6 cups of time puddy and divided the puddy equally among 2 containers. How much sume puddy is in each container?
Answer: 3 cups in each container.
Step-by-step explanation: Okay love, if you have 6 cups of pudding and divide it equally among 2 containers you would need to divide 6 by 2.
6 ÷ 2 = 3
Because if you count 3 two times or you add 3 + 3 that makes 6. So you need two number 3's to get 6.
5. A student has a goal to read 5,000 pages in books over the summer. After the first three weeks, he has read 1,350 pages. Write an equation that could be used to find the number of pages he has left to read. Use the variable n when writing the equation.
Khala plots point A at -1, -3 and 1/2. Which graph shows the location of point A?
Answer:
The second graph
Answer:
Graph B.Step-by-step explanation:
Khala plots a point at (-1, -3.5).
Once on the 2nd graph, you'll see that it's graphed on (-1, -3.5).
Your answer is Graph B.
Solve the following equation. Show your work. 3/4(2x-16)=1/3(x+6)
Answer:
x=12
Step-by-step explanation:
1. 3/4(2x-16)=1/3(x+6)
2. 3/2x-12=1/3x+2
3. 3/2x-1/3x=2+12
4. 7/6x=14
5. x = 12
Elmview School has an annual carnival. Each year, the school needs 2b+18 balloons for carnival decorations, where b is the number of booths. Elmview has 12 booths planned for the carnival this year. How many balloons does the school need to decorate for the carnival this year? Write your answer as a whole number or decimal.
Answer:
Step-by-step explanation:
Balloons = B
b = booths = b
Formula
B = 2b + 18
B = 2 *12 + 18
B = 24 + 18
B = 42
Balloons needed = 42
