The answer is ∠1 = 113°
Linear Pair :
When two lines meet at a single point, a pair of linear angles is created. If the angles follow the point where the two lines cross, they are considered to be linear. A linear pair's angles add up to 180° in every case.
Now as per the question the given angle is
∠2 = 67°
It is also given that ∠1 and ∠2 form a linear pair. Therefore it means that the sum of both the angles will be 180°
∠1 + 67° = 180°
Now subtracting 67 from both sides we will get :
∠1 = 180 - 67 = 113°
Therefore, ∠1 = 113°
To know more about linear pairs, refer to this link
https://brainly.com/question/17525542?referrer=searchResults
You have $2 in your piggy bank and every day you get a $3 allowance for helping out at home. You are saving all of your money. pls help
Answer:
What are h saving all of your money for? if it’s for a week or day it’s 3 dollars a day if u want know how much u get ina week it’s 3x7 so u would get 21 dollars
Step-by-step explanation:
PLEASE HELP
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 39. Homework Grade (x) Test Grade (y) 64 80 93 84 66 64 74 55 75 82 89 90 78 60 76 50
Answer: The linear regression equation which models the relationship between homework grade and test grade and the predicted homework grade are :y = 1.20x - 14.32Predicted, x = 69Using technology, the linear model can be obtained using either excel or a linear regression calculator. Using a linear regression calculator which gives the linear equation in the form :y = bx + c y = 1.20x - 14.32y = Test grade ; x = homework grade Slope, b = 1.20 ; intercept, c = - 14.32 Using the model equation obtained : Test grade, y = 68Homework grade, x y = 1.20x - 14.32 68 = 1.20x - 14.32 68 + 14.32 = 1.20x 82.32 = 1.20x x = (82.32 ÷ 1.20)x = 68.6x = 69 (nearest integer) Therefore, the estimated homework grade for a test score of 68 is 69
Step-by-step explanation: hope u get an a+!
The equation 3xy + y = 3xy^2 is (true/false) because a. you can combine all like terms with y in them. b. you can only combine like terms when they have the exact same variable or c. 3xy + y = 4xy
Answer:
b
Step-by-step explanation:
you can only combine like terms when they have the exact same variable ,
a variable can not add to any number which does not have any variable can not add to a variable.thqt is the way of my understanding
Find the 10 th term of each geometric sequence. a₁₁ =-5, r=-1/2
The 10th term of the geometric sequence with a(11) = -5 and r = -1/2 is a(10) = 10.
A geometric sequence is a sequence of numbers where the nth term is obtained by multiplying the (n-1)th term by a constant, called a common ratio (r). Mathematically, it can be expressed as:
a(n) = a(n-1) . r
So, if a(1), a(2), a(3), ..., a(n) is a geometric sequence, then:
a(2) = a(1) . r
a(3) = a(1) . r
and so on.
In the problem, the given parameters are: a(11) = -5 and r = -1/2, and we need to find a(10).
Using the above recursion:
a(11) = a(10) . r
-5 = a(10) . (-1/2)
Multiply both sides by (-2)
-5 . (-2) = a(10) . (-1/2) . (-2)
a(10) = 10
Learn more about geometric sequence or progression here:
https://brainly.com/question/27679520
#SPJ4
What is p2 + 15 if p = −3?
answer:
9
explanation:
-3 * 2= -6
-6 + 15 = 9
Answer:
answer:
9
explanation:
-3 * 2= -6
-6 + 15 = 9
Step-by-step explanation:
Given the following: number purchased cost per unit total january 1 inventory 36 $ 5 $ 180 april 1 56 8 448 june 1 46 9 414 november 1 51 10 510 189 $ 1,552 calculate the cost of ending inventory using the weighted-average method (ending inventory shows 57 units). note: round the "average unit cost" and final answer to the nearest cent. calculate the cost of goods sold using the weighted-average method. note: round your intermediate calculations and final answer to the nearest cent.
62÷5841 please I need to know
Answer: 0.01061462078411230953603834959767
Rounded to the nearest hundredth: 0.01
Hope this helps!!!
Answer:
0.010614621
Step-by-step explanation:
62÷5841 = 0.010614621
Hope this helps
Write each number as a percent.
0.5
meaning of composite numbers
Answer:
which is divisible by manufacturers are called composite numbers
Which equation in slope intercept form, matches equation shown
A• y=4/7x-4
B• y= -4/7x+1
C• y= -5/6x-4
B• y= 5/6x+1
Answer:
c
Step-by-step explanation:
If you look at the two points on the graph you can see that the point that crosses the y axis is at -4
If you use the two points and count the slope you see that it is down 5 over 6 which gives it a slope of -5/6
Solve the problem. Show your work. Responses will be graded using the short-response scoring rubric given at the beginning of the lesson.
A regular hexagon is inscribed in a circle with a diameter of 12 centimeters. What is the exact area of the hexagon?
Area of hexagon is 93.531cm².
In the given statement is:
A regular hexagon is inscribed in a circle with a diameter of 12 centimeters.
Diameter of a circle = 12 cm.
⇒Radius of a circle = 6cm.
Length of side of hexagon = 6cm
Area of regular hexagon = (3/2) × √3 × (side)²
⇒Area of regular hexagon = (3/2) × √3 × (6)²
= (3/2) × √3 ×36
= 54 × √3
= 93.531cm².
Hence, area of hexagon is 93.531cm².
Learn more about area here
brainly.com/question/11952845
#SPJ4
Cesar and Wendy buy a pizza for $10 that is half pepperoni and half veggie. They cut the pizza into 8 slices. If Cesar likes veggie twice as much as pepperoni, what is the value of a slice that is all veggie?
Using different mathematical operations, the price of a slice that is all vegie is calculated to be $1.25.
What are arithmetic operations?
Arithmetic operations are a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics.
Given, Cost of the pizza = $10
and number of slices = 8 (half pepperoni and half veggie)
So, number of slices containing veggies = 8/2 = 4
and cost of 4 slices containing all veggie= 10/2 = $5
Therefore, value of a slice containing all veggie = 5/4 = $1.25
To learn more about mathematical operations, click on the link
https://brainly.com/question/17260500
#SPJ1
Determine whether each sequence is geometric. If so, find the common ratio. 1, 1/2, 1/3, 1/4, . . . . .
The given sequence is not geometric.
What is a geometric progression?A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.
Given: [tex]1, \frac{1}{2}, \frac{1}{3},\frac{1}{4},...[/tex]
Here, [tex]\frac{\frac{1}{2}}{1} \neq \frac{\frac{1}{3}}{\frac{1}{2}}\neq \frac{\frac{1}{4}}{\frac{1}{3}}[/tex]
Since the given sequence does not follow the necessary condition for a sequence to be geometric, it is not the one.
Hence, The given sequence is not geometric.
To learn more about geometric progression, refer to the link: https://brainly.com/question/15978376
#SPJ4
A news reporter in a city with several carbon-emitting power plants wanted to see whether local temperatures matched trends in global climate change. She
focused on the four coldest months of the year.
The table shows local temperature data from November through February for the two consecutive cold seasons checked by the reporter.
Average Monthly Temperatures (°F)
2011-2012:
November 61 1
December 51 9
January 53.6
February 56.5
2012-2013:
Nov: 64.2
Dec:56 8
Jan;48.3
Feb: 55.1
How did the mean temperature change between the two cold seasons?
You may use the calculator.
OA.
went down by 1.40
OB.
went up by 0.3°
OC.
went up by 0.9°
OD.
went up by 3.70
The mean temperature change between the two cold seasons is (b) went up by 0.3°
How to compare the mean values of both seasons?The given parameters are:
2011-2012:
November 61 1December 51 9January 53.6February 56.52012-2013:
Nov: 64.2Dec:56 8Jan;48.3Feb: 55.1The mean is calculated as
Mean = Sum/Count
So, we have
2011 - 2012 mean = (61.1 + 51.9 + 53.6 + 56.5)/4
Evaluate
2011 - 2012 mean = 55.8
Also, we have
2012 - 2013 mean = (64.2 + 56.8 + 48.3 + 55.1)/4
Evaluate
2012 - 2013 mean = 56.1
The difference in these mean values are
Difference = 56.1 - 55.8
Evaluate
Difference = 0.3
Hence, the mean temperature change between the two cold seasons is (b) went up by 0.3°
Read more about mean at:
https://brainly.com/question/20118982
#SPJ1
A fluid dram is a unit of capacity. One fluid ounce is equivalent to eight fluid drams.
Which table represents the relationship between number of fluid ounces and number of fluid drams?
O A
B.
O C.
D.
Number of Fluid Ounces 12345
Number of Fluid Drams 88888
Number of Fluid Ounces 1 2 3 4 5
Number of Fluid Drams 8 9 10 11 12
Number of Fluid Ounces 1 2 3 4 5
Number of Fluid Drams 8 16 24 32 40
5
Number of Fluid Ounces 1 2 3 4
Number of Fluid Drams 8 16 32 64 128
Answer:
The flud dram (or flud drahm in British speling) is defined as 1⁄8 of a flud ones is is british words cop to nuber of a flud, and is ecactly ewelual to 3696691 ml in the U.S. cutomary 3.551632 ml in the British can of fluding can keep it from fluding over are heads and keep it safe from fluding but 3696691 is the number that you haft to use it order to keep it up you haft to put it in the same order
Number of Fluid Drams 88888
Number of Fluid Ounces 1 2 3 4 5
Number of Fluid Drams 8 9 10 11 12 A fluid dram is a unit of capacity. One fluid ounce is equivalent to eight fluid drams. Which table represents the relationship between number of fluid ounces a...
0.00
0 votes
0
In the apothecary system, the symbol fl ℥ represents a/an A. pound. B. grain. C. fluid ounce. D. dram
2 (x + 6) simplify please help.
will give brainlist if good response and has details to show steps
Answer:
2(x+6)
Use the distributive property to multiply 2 by x+6.
2x+12
Step-by-step explanation:
Answer:
2x+12
Step-by-step explanation:
you simply times what is inside the bracket with what is outside
2×x= 2x
2×6= 12
then just put them back to where they were before without the brackets so:
X+6--->2x+12
hope this helps lol
How to solve:
7k + 6-3 = -4
Please show steps! (:
answer:
k= -1
Step-by-step explanation:
7k+3=-4
7k=-3-4
7k=-7
1k= -1
Given equation,
→ 7k + 6 - 3 = -4
Now solving for value of k,
→ 7k + 6 - 3 = -4
→ 7k + 3 = -4
→ 7k = -4 - 3
→ k = -7/7
→ [ k = -1 ]
Hence, the value of k is -1.
Write an explicit formula for each arithmetic sequence. -2,7,16,25, . . .
Explicit formula is [tex]a_{n}[/tex] =a + (n-1)d
Here in the explicit formula of the sequence -2, 7, 16, 25....
Formula
[tex]a_{n}[/tex] = a +(n-1)d
In the formula, n is any term number and a(n) is the nth term.
This formula allows us to simply plug in the number of the term we are interested in, and we will get the value of that term.
To find the 5th term, for example, we need to plug n = 5 into the explicit formula.
common difference(d) = 7 - (-2) = 16- 7 = 9
[tex]a_{5}[/tex] = -2 + 9( 5-1)
= -2 + 36
= 34
To know more about the explicit formula for arithmetic sequence refer to the link given below:
https://brainly.com/question/11468530
#SPJ4
How do you solve 5(2x-1)=9x+2 as a proof?
Solve each equation. Check each solution. 4/x+3=5
The solution of the equation 4/x+3=5 is at x = -11/5.
According to the given question.
We have an equation 4/x+3=5.
As we know that, an equation is a condition on a variable such that two expressions in the variable should have equal value.
Therefore, the solution of the equation 4/x+3=5.
4/x+3 = 5
⇒ 4 = 5(x + 3) (multiplying both the sides by x + 3)
⇒ 4 = 5x + 15 (by distributive rule)
⇒ 4 - 15 = 5x
⇒ -11 = 5x
⇒ x = -11/5
Hence, the solution of the equation 4/x+3=5 is at x = -11/5.
Find out more information about equation here:
https://brainly.com/question/10413253
#SPJ4
Under her cell phone plan, Caroline pays a flat cost of $54.50 per month and $5 per gigabyte. She wants to keep her bill at $74 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Caroline can use while staying within her budget.
The required linear equation is of the form 54.5 + 5 g = 74 , and Caroline can use 3.9 gigabytes of data to stay within budget.
There are about one or two variables in a simple linear equation. In a linear equation, no variable can be multiplied by a numerical value that is greater than one used as the fraction 's denominator.
Let us consider that Caroline uses g gigabytes of data for the month.
Therefore total cost incurred by her in one month = 54.5 + 5g
She wants to keep the value of her monthly bill at $ 74.
Therefore we can write a linear equation to solve this problem:
54.5 + 5 g = 74
or, 5 g = 74 - 54.5
or, g = 19.5 ÷ 5
or, g = 3.9
Therefore Caroline can get maximum of 3 gigabytes of data if she wants to keep the budget below $74 .
To learn more about Linear equation visit:
https://brainly.com/question/24145091
#SPJ1
Which expression is equivalent to 2
4√/23
√√25
O 4/43
√45
1
- IN
N
MI4
2
?
Answer:
√2⁵
Step-by-step explanation:
✅️✅️✅️✅️✅️✅️✅️✅️♀️♀️♀️
Answer:
[tex]\sqrt{2^{5} }[/tex]
It's B
Step-by-step explanation:
Look at the image
I hope this helps.
Mark me brainliest, please.
A bag contains three red balls, one yellow ball and 2 green balls. two balls are drawn.the probability that at least one of the drawn balls is red?
Answer:
if the question is if the ball might be redor at least one of the balls will be red than yes I thik at least of them will be red if my answer helps at all.
Write a flow proof.
Given: KM bisects ∠J M L ; ∠J ≅ ∠ L .
Prove: JM ≅ LM
We can say that JM ≅ LM is under the condition of corresponding to parts of congruent triangles (CPCT).
What exactly does this mean by the congruency of a triangle?Two triangles are said to be congruent if their three corresponding sides and angles are the same size.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are moved.Congruence exists when two triangles satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).So,
Given: KM bisects ∠JML; ∠J ≅ ∠LTo Prove: JM ≅ LMFirst, prove that △JMK ≅ △LMK.
∠J = ∠L = GivenKM = KM = Common∠JMK = ∠LMK = Given: KM bisects ∠JMLSo, △JMK ≅ △LMK under AAS condition.
Then, we can say that JM ≅ LM is under the condition CPCT.Therefore, we can say that JM ≅ LM is under the condition of corresponding to parts of congruent triangles (CPCT).
Know more about the congruency of a triangle here:
brainly.com/question/2938476
#SPJ4
A new long-life tire has a tread depth of 7/16 inches, instead of the more typical 7/32 inches. How much deeper is the new tire?
Answer: The new tire is 7/32 of an inch deeper, or twice as deep.
Step-by-step explanation: The answer can be found by subtracting the old tire length from the new tire length. We must first find a common denominator. To do that, we multiply both the top and bottom of 7/16 by two and get 14/32. Now we subtract 7/32 (old tire) from 14/32 (new tire) to get 7/32.
solve for x in each equation below
Answer:
a. 3(x-7)+2=2x-1
3x-21+2=2x-1
3x-19=2x-1
+19 +19
3x=2x+18
-2x -2x
x=18
b. 2x-(5-x)=3x+2(x-7)
2x-5+x=3x+2x-14
3x-5=5x-14
-14 -14
3x+9=5x
-3x -3x
9/2=2x/2
x=9/2
You invested money in a company and each month you receive a payment for your investment. Over the first four months, you received $ 50, $ 52, $ 56 , and $ 62 . If this pattern continues, how much do you receive in the tenth month?
a. What pattern do you see between consecutive terms?
Answer:
the amount received in the tenth month is $198
(2x³ – y³)²
How do I solve it?
Answer:
Below in bold.
Step-by-step explanation:
(2x³ – y³)²
= (2x³ – y³)(2x³ – y³) Using the Distributive Property:
= 2x³(2x³ – y³) - y³(2x³ – y³)
= 2x⁶ - 2x³y³ - 2x³y³ + y⁶
= 2x⁶ - 4x³y³ + y⁶
9.
Farah buys
2 pens at 84p each
3 folders at £1.35 each
1 pencil case at £1.49
She pays with a £10 note.
Work out how much change Farah should get from £10.
Answer:
2 pen cost £84 each _ 2 ×84=168
3 folders cost £1.35 each_3×1.35=4.05
1 pencil cost £
Winston needs at least 80 signatures from students in his school before he can run for class president. He has 23 signatures are ready. He and two of his friends planted the remaining sutures during lunch. If each Person gets the same number of signatures, which inequality can Winston use to determine the minimum number of signatures each person should get so he can run for class president?
The inequality that Winston can use to determine the minimum number of signatures is 3x ≥ 57.
What is the inequality?The first step is to determine which inequality sign would be used.
The following are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The sign that would be used is the greater than or equal to sign - ≥ . This is because the number of signatures can be either equal to 80 or greater than 80.
The next step is to determine the least number of signatures needed : 80 - 23 = 57
3(number of signatures they would get) ≥ 57
3x ≥ 57
To learn more about inequality, please check: https://brainly.com/question/5031619
#SPJ1
