Answers
Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
Related Questions
choose an equation that best represents the graph.
A. y = x - 3
B. y = -x + 3
C. y = -x - 3
D. y = x + 3
Answers
explanation
7 - (3 + 5) + (- 3 + 6) / 3 x 5
Answers
Answer:
4
Step-by-step explanation:
Always remember the order of operations: PEMDAS.
7 - (3 + 5) + (-3 + 6)/3 x 5
7 - (8) + (3)/3 x 5 (solve the parantheses first)
7 - 8 + 1 x 5 (3/3 comes first since multiplication and division have the same order; you would go left to right)
7 - 8 + 5 (Multiplication has a higher order than addition and subtraction)
4
Answer:
4
Step-by-step explanation:
Use PEMDAS
7 - (3+5) + (-3 + 6) / 3*5 (solve Parenthesis first)
7 - 8 + 3 / 3 * 5 (solve the division next)
7 - 8 + 1 * 5 (solve the multiplication next)
7 - 8 + 5 (subtract next)
-1 + 5 (lastly add)
4
Hope this helps
What is the distance between point A(3, 3) and point B (-3,-3)? necessary, round to the nearest 10th
Answers
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
formula
AB=[tex]\sqrt{(x_{a}-x_{b})+(y_{a}-y_{b})}[/tex]
Kayden wants to ride his bicycle 29.5 miles this week. He has already ridden 13 miles.
If he rides for 3 more days, write and solve an equation which can be used to
determine m, the average number of miles he would have to ride each day to meet his
goal.
Answers
Answer:
5.5
Step-by-step explanation:
29.5-13=16.5 16.5÷3=5.5
line has the equation y=6x +b. What must be the value of b for the line to model a directly proportional relationship
Answers
The sum of the squares of two consecutive odd integers whose products is 202. Find the integers.
Answers
Answer:
Step-by-step explanation:
i need help ASAPwhat is 11x + 9 - 7
Answers
For a company picnic, Trisha ordered a box of fresh-baked gingerbread cookies and sugar cookies. The box included a total of 40 cookies, and 90% of them were gingerbread. How many gingerbread cookies did Trisha get?
Answers
Answer:
Easy, the answer is 36
Step-by-step explanation:
40 divided by 0.90 is 44, and 44 minus 8 is 36
1. The radius equals
units
2. The diameter equals
units
Answers
Answer:
radius = 4units
diameter = 8units
Step-by-step explanation:
The radius is the distance from the midpoint of a circle to any point on the side of the circle. In this case, the radius is, 4units. The diameter is twice the radius and is 8 units.
Vinnie is 18 years old.What type of number is Vinnie's age? Is it Rational or
Irrational?
Answers
Answer: it is irrational
Step-by-step explanation:
Rational numbers are the numbers that can be expressed in the form of a ratio (i.e., P/Q and Q≠0) and irrational numbers cannot be expressed as a fraction. But both the numbers are real numbers and can be represented in a number line.
On Tuesday Alberto bought 6 hats. On Wednesdqy half of all the hats that he had were destroyed. On Thursday there were only 13 left . How many did he have on Monday? please show steps??
Answers
Answer:
He had 20 hats on monday
Step-by-step explanation:
13*2= 26
26-6= 20
13+13 is 26 and that is including the 6 extra hats
Then u have to 26-6 to get the extra 6 away to get the Monday amount which is 20
Hope this helps tries to explain I fast! Brainly will be appreciated!!!
How is multiplying and dividing rational numbers similar to multiplying and dividing integers?
Answers
What is the solution of the following system of equations 5x+7y=3, 2x=-3y+1
Answers
Answer:
point form: (2,-1)
equation form: x=2,y=-1
Step-by-step explanation:
Answer:
X = 2 and y = -1
Step-by-step explanation:
add 3y to both sides of 2x = -3y + 1
2x + 3y = 1
5x + 7y = 3
multiply (2x + 3y = 1) by -5 and (5x + 7y =3) by 2
-10x - 15y = -5
10x + 14y = 6
-y = 1
y = -1
plug in y
2x = -3(-1) + 1
2x = 4
divide by 2
x = 2
three consecutive odd integers are such that the square of the third integer is 65 less than the sum of the squares of the first two. one solution is -7, -5, and -3. find three other consecutive odd integers that also satisfy the given conditions
Answers
We need to know about quadratic equation to solve this problem. The other three consecutive odd integers that satisfy the conditions are 11, 13 and 15.
We need to consider three consecutive odd integers, odd integers are integers that are not divisible by 2. Odd and even integers occur alternately so the the difference between two consecutive odd integers is always 2. We will consider one odd integer x, the next odd iinteger will be x+2 and the third odd integer will be x+4. Therefore we have our three consecutive odd integers, x, x+2 and x+4. It is said that the square of the third integer is 65 less than the sum of the squares of the first two. We can write this relation as
[tex](x+4)^{2} +65=x^{2} +(x+2)^{2}[/tex]
We can solve this equation to get a quadratic equation, and then solve it for x
[tex]x^{2} +8x+16+65=x^{2} +x^{2} +4x+4\\x^{2} +4x-8x+4-16-65=0\\x^{2} -4x-77=0[/tex]
We will solve the above quadratic equation for x
[tex]x^{2} -4x-77=0\\x^{2} +7x-11x-77=0\\x(x+7)-11(x+7)=0\\(x+7)(x-11)=0\\[/tex]
Therefore we get two values for x -7 and 11, from the question we already know about -7, we will find the three odd integers from 11 now
So the other three consecutive odd integers that satisfy the given conditions are 11,13 and 15.
Learn more about quadratic equation here:
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choose the answer based on the most efficient method as presented in the lesson. if the first step in the solution of the equation -8 - 7x= -5x -10 is "add 10" then what should the next step be?
Answers
Answer:
"Add 7x"
Step-by-step explanation:
-8 - 7x + 10 = -5x - 10 + 10
2 - 7x = -5x
Answer:add 7x
Step-by-step explanation:
Equation Step 1 - Add 10 both side,Step 2 - Add 7x both side,Step 3 - Divide both side by 2,Therefore, The next step should be ''add 7x''.THANKS 35.0(1 vote)AdvertisementAnswer5 people found it helpfultexaschic101Genius13.3K answers222.9M people helped-8 - 7x = -5x - 10....add 10 to both sides2 - 7x = -5x ......NEXT STEP.....add 7x to both sidesTHANKS 55.0(3 votes)Need a bit more clarification? Get a high-quality answer with step-by-step explanations from a professional in just minutes instead!GET A VERIFIED ANSWERAdvertisementStill have questions?FIND MORE ANSWERSASK YOUR QUESTIONNew questions in MathematicsPlease Help me turn vertex form to standard form!! Line r contains points (-5,0) and (6, -2). Which of the following pairs of points define a line parallel to line r ?What is the absolute value of –8? Use the number line to help answer the question.Nathan eats the same amount of lunch meat everyday. If Nathan eats 2 pounds of lunch meat in 8 days, he eats pound(s) of lunch meat per dayIf f(x)=1/x,which equation describes the graphed function? A. y = f(x+2) - 1 B. y=f(x-2) - 1 C.y=f(x+1)-2 D.y=f(x-1)-2whait is the formula of mean deviation 30% of a sum of money is rupees 300. what is the total amount? step by step explanation please subject: linear equations in mathSolve the system of linear equations using the substitution method. Y = 6x + 11 and 2y - 4x = 14 A. (-1, 5) B. (-4, 3) C. (-2, 2) D. (-4, 4)HELP PLS Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 3p − 10 ≥ 7p + 6 true.Sascha owns stock in Lewis Corp and she bought a $5,000 corporate bond. She received $52.50 in quarterly interest from the bond. Sascha also owns stoc…k in Lewis Corp which is worth $46 per share, and it pays a $2 annual dividend. Part A Which is higher, the yield on the stock or the annual interest rate on the bond? Show your work and explain how you determined your solution. Part B If the bond matures in seven years, how much will Lewis Corp have paid Sascha in total? Part C If Sascha owns 1,500 shares of Lewis Corp, how much would she receive in annual dividends? Part D If Lewis Corporation later offers corporate bonds at an annual interest rate that is one percent higher than half the rate of the bond Sascha bought, create an equation that models the quarterly interest earned, q, for any given bond face value, v.LOAD MOREPreviousNextAsk your question
5x - 9 = -24 + 10x
O One solution: -33
O One Solution: 3
O No Solution
O Infinite Solutions
Answers
Answer:
One Solution: 3
Step-by-step explanation:
5x - 9 = -24 + 10x
Subtract 5x from both sides. -9 = -24 + 5x
Add 24 to both sides. 15 = 5x
Dived 15/5. 3 = x
Alisa uses her cell phone to search how many pounds of sand will is required to fill 1 cubic foot and finds out the answer is 100 pounds. Choose 1 of the brands and compute how much it will cost Alisa to purchase enough sand to fill the court. identify which brand was chosen as part of your answer. Use the volume formula, V = l x w x h Sand A - 12 dollars per 150 lb, Sand B - 5 dollars per 60 pounds. (Reposting bc i forgot the end which is important to the answer)
Answers
The brand of sand chosen by Alisa is Sand A with a total cost of $10,816, instead of Sand B with a total cost of $11,267.
How are the total costs determined?The total costs are determined using mathematical operations and unit conversions.
Firstly, the volume of the court is calculated, using V = l x w x h. The result is converted from cubic feet to pounds at 1 ft³ = 100 lb.
After the conversion, the rest of the calculations carried on the mathematical operations of addition, division, and multiplication.
Data and Calculations:The length of the volleyball court = 52 feet
The width of the volleyball court = 26 feet
The height of the volleyball court = 1 feet
The volume, V = l x w x h
= 52 x 26 x 1
= 1,352 feet³
1 ft³ = 100 lb
1,352 feet³ = 135,200 lb (1,352 feet³ x 100)
Sand A's Cost = $12 per 150 lb
135,200 lb = $10,816 ($12 x 135,200/150)
Sand B's Cost = $5 per 60 lb
135,200 lb = $11,267 ($5 x 135,200/60)
Thus, Sand A, most likely chosen by Alisa, is more cost-effective than Sand B.
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Question Completion:Alisa hopes to play beach volleyball in the Olympics someday. She has convinced her parents to allow her to set up a beach volleyball court in their backyard. A standard beach volleyball court is approximately 26 feet by 52 feet. She figures that she will need the sand to be one foot deep. She goes to the hardware store to shop for sand and sees the following signs on pallets containing bags of sand.
Sand A = 150Ibs = $12
Sand B = 60lbs = $5
Identify which brand was chosen as part of your answer.
1/2 ( 2p + 9 ) = p + 5 solve equation
Answers
The given equation 1/2 ( 2p + 9 ) = p + 5 has no solution.
What is meant by linear equation has no solution?Whenever the two lines are parallel, a system of 2 linear equations in two variables has no solution.
In terms of algebra, this means that when we solve the system, we get such a false equation. On a graph, the lines never intersect because they share the identical slope but distinct y-intercepts.If the equations are inconsistent, a system of linear equations cannot have a solution. This means that no point can fulfill all of the equations simultaneously.As for the given question;
The expression is given as;
1/2 ( 2p + 9 ) = p + 5
Simplifying the equation;
(1/2)×2p + (1/2)×9 = p + 5
p + 9/2 = p + 5
As, the variable 'p is getting cancelled on the both side.
The expression given no solution.
Therefore, the stated linear equation in one variable 1/2 ( 2p + 9 ) = p + 5 does not posses any solution.
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What is the product of -3 1/3 and -8 7/10
Answers
Answer:
29
I hope this helps!
Answer:
29
Step-by-step explanation:
what is the first thing you do when you see words "subtracted from"
Answers
32
Step-by-step explanation:
what is 3r³/2r
how do I go about solving it
thanks
Answers
Answer:
3r^2 /2
Step-by-step explanation:
r^3 cancels out r in the denominator remaining with r^2 in the numerator.
so 3r^2/2
= 3r^2 /2
Answer:
solving the expression [tex]\frac{3r^3}{2r}[/tex] we get [tex]\mathbf{\frac{3}{2}r^2}[/tex]
Step-by-step explanation:
We need to solve the expression: [tex]\frac{3r^3}{2r}[/tex]
For solving exponents in the fraction we can use the exponent rule:[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
Applying the above rule and solving:
[tex]\frac{3r^3}{2r}\\=\frac{3}{2}r^{3-1}\\\\=\frac{3}{2}r^2[/tex]
So, solving the expression [tex]\frac{3r^3}{2r}[/tex] we get [tex]\mathbf{\frac{3}{2}r^2}[/tex]
A pool company is creating an image for a dient that has the look of a 3-D image for a family pool and a similar dop pool. Find the value of x in the drawing below:
Answers
Answer:
x = 8
Step-by-step explanation:
Since both pools are similar, it follows that their side lengths are proportional.
Therefore:
[tex] \frac{BC}{FG} = \frac{AD}{EH} [/tex]
BC = 4
FG = 3
AD = x
EH = 6
Plug in the values
[tex] \frac{4}{3} = \frac{x}{6} [/tex]
Multiply both sides by 6
[tex] \frac{4}{3}*6 = \frac{x}{6}*6 [/tex]
[tex] \frac{24}{3} = x [/tex]
8 = x
x = 8
In statistical inference for categorical data:___________.
a. Normal data is always a condition for inference.
b. Normal data is never one of the inference assumptions.
c. Normal data or large enough total sample size is one of the inference assumptions.
Answers
Answer:
b. Normal data is never one of the inference assumptions.
Step-by-step explanation:
A categorical data specifies among two or more groups, which one each observation belongs to, and one or more explanatory variables that can be used to predict this membership.
So, there are two propositions in statistical inference for categorical data
1. That each data in a cell is independent of the others.
2. That samples are randomly drawn.
Thus, there is no room for normality.
Tickets to a movie cost 8 dollars for adults and 4 dollars for kids. A large family purchase 24 tickets, and It cost them $168. How many “adult” tickets did they purchase?
Answers
y= number of kid tickets
8x+ 4y = 168
x+y= 24
8x+ 4y = 168
(x+y= 24) -4
8x+ 4y = 168
-4x - 4y = -96
4x = 72
x = 18
they purchased 18 adult tickets
jaden buys 1.15 pounds of cheese at the deli counter. If each slice is 0.05 pounds, how many slices of cheese does she buy?
Answers
Answer:
23 slices
Step-by-step explanation:
1.15 divided by 0.05=23 slices
Mr. Robertson's class has a circular garden. The garden has a diameter of 14 feed (ft). What is the corcumference of the garden?
Answers
Answer:
Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm .
Step-by-step explanation:
i hope this helps I wish I could see the the choices are options for answers I could help more if I can see your options
Identify the underlined place in 131.572. Then round the number to that place
The 5 is underlined
Can someone please help??
Answers
Answer:
The 5 is in the tenths place.
Step-by-step explanation:
:)
Answer:
131.6
Step-by-step explanation:
Since the 5 in 131.572 is underlined, we need to round the number to the nearest tenth. When rounding numbers, we need to look at the digit next to the rounded digit. The digit after 5 is 7.
If the digit after that is 1-4, we round down the 5. If the digit after that is 5-9, we round up the 5. Since 7 is between 5 and 9, we round the digit 5 to 6.
Thus, the rounded number would be: 131.6
c - 4 = -20 can u help me plz?
Answers
Answer:
-16
Step-by-step explanation:
when u see c+ -4 you would do the opposite so that would be subtraction so basically-4-20 and that is -16 here is an example when it comes to division: d÷2=3 so that would be 3×2= 6 so then u plug it in to check your work and 6÷2=3 hopes this helps
Answer:
c=-16
Step-by-step explanation:
c-4=-20
c=-20+4
c=-16
3х + y 2 – 7
Linear inquality
Answers
Answer:
xfgn
Step-by-step explanation:
5. If f(x) = x3 + 6, what is the value of f(3)?
A. 15
B. 33
C. 39
D.729
Answers
Answer:
15....................................