Since BD bisects angle ABC,
∠ ABD = ∠ DBC
So, ∠ DBC = 2x + 22 (1)
Also, ∠ DBC = ∠ ABC - ∠ ABD.
= 8x - (2x + 22)
= 8x - 2x - 22
= 6x - 22 (2)
From (1) and (2),
2x + 22 = 6x - 22
2x - 6x = -22 - 22
- 4x = - 44
x = 11
∠ DBC = 2x + 22 = 2(11) + 22 = 44
Hence, ∠ DBC = 44°.
write an equation for the line that passes through (5,-4) and is perpendicular to the graph of 5x -2y=-6
Answer:
y = (-2/5)x - 2
Step-by-step explanation:
One way to attack this problem is to interchange the coefficients of x and y and change the sign of one to +: 5x - 2y = -6 becomes 2x + 5y = c. Solving for the slope, m, we get 5y = -2x + c first, and then y = (-2/5)x + D.
Subbing 5 for x and -4 for y, we now have -4 = (-2/5)(5) + D.
Then -4 = -2 + D, so that D = -2.
The desired equation is thus y = (-2/5)x - 2.
Check: Does this pass through (5, -4)? Is -4 = (-2/5)(5) - 2 true? Yes.
Is the slope -2/5 the negative reciprocal of 5/2? Yes, it is.
f(x)=1/4x^4+1/3x^3+9 concave up and concave down
Answer: Concave UP
Step-by-step explanation:
The polynomial is an even degree (4) so it will look similar to a parabola (U-shaped if positive, ∩-shaped if negative).
see attachment to see what this graph looks like.
The y-value is ten decreased by the square of the x-value
answer:
y = 10 - x²
step-by-step explanation:
the y value is means the y value is equal to meaning the first part of our equation is y =
10 decreased means 10 minus so the next part of our equation is y = 10 -
the square of the x value means x squared so the last part of our equation is y = 10 - x²
The required expression is y = 10- x²
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now the given statement is ,
The y-value is ten decreased by the square of the x-value
So we have two variables x and y.
So square of x = x*x = x²
and, ten decreased by the square of the x-value = 10- x²
Hence we get y is 10- x²
So the expression is
y = 10- x²
Hence,the required expression is y = 10- x²
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How can you tell from the graph of Molly's garden on the previous slide that it represents a proportional relationship?
Answer:
A proportional relationship is a relation of the form:
Y = A*X
This means that if we have two variables, X and Y, for each unit that X grows, Y grows A times that.
And notice that the relation:
Y/A = X
is also a porportional relationship
This relationship can be expresed in a graph as a straight line that pases through the origin and has a constant unit of growht (in this case A) that is also called the "slope" of the line.
The graph of a proportional relationship has the same unit rate, is a straight line, and starts at the origin.
6/8n=18
Answer this because I'm having trouble
the ansewer is n = 14
HELLLLLLLLLPPPPP IM CONFUSED
helpe help asap
Answer:
(1,1.5) (2, 3), etc.
Step-by-step explanation:
For each bottle sold, you go across the x-axis (the one that's horizontal) one time, and go up the y-axis (the one that's vertical) one and a half times. Hope this helps!
find two consecutive integers whose sum is 93. (Show work)
You are looking for three consecutive integers whose sum is 93. First, divide 93 by 3 and get 31. Go one above 31 and one below. You get 30, 31 and 32 which sum to 93.
Solve for a: d=1/4a^2bc
a = [tex]\sqrt{\frac{4d}{bc} }[/tex]
isolate the term in a
[tex]\frac{1}{4}[/tex] a²bc = d ( multiply both sides by 4 to eliminate the fraction )
a²bc = 4d ( divide both sides by bc )
a² = [tex]\frac{4d}{bc}[/tex]
Take the square root of both sides
a = [tex]\sqrt{\frac{4d}{bc} }[/tex]
If the denominators of two fractions are the same, how do you add the fractions?
Step-by-step explanation: To add like fractions or fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.
Let's try an example.
[tex]\frac{1}{13}[/tex] + [tex]\frac{5}{13}[/tex] = ?
In this example, if we add the numerators we have 1 + 5 which gives us 6 and we put this over our original denominator which is 13. Therefore, 1/13 + 5/13 . gives us 6/13 which is in lowest terms.
I need this fast! 30 points!
a.) Are the two figures in the image congruent? Are they similar? What does this tell you about the geometric transformations you will need to transform one of these polygons into the other?
b.) Describe a series of at least two similar transformations that will transform polygon EFGH into polygon E’F’G’H’?
c.) There is more than one way to transform polygon EFGH into polygon E’F’G’H’. Describe the second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence.
Dolores spent $13.00 of the $20.00 in her wallet which decimal represents the fraction of the $20.00 has spent?
Answer: .65
Step-by-step explanation:
The decimal representation of the amount spent, which is ratio of amount spent and the total amount in wallet is 0.65
Amount spent = $13.00
Total amount in wallet = $20.00
Fraction spent = Amount spent / total amount
To express as a decimal;
Take the ratio of the amount spent and the amount in wallet. Amount spent : Amount in wallet 13 : 20 = 13 / 20 = 0.65Therefore, the fractional representation of the amount spent from total is 0.65.
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ABCD is a rectangle. Which of the following pairs of angles are complementery?
Complementary angles equal 90 degrees.
Since each corner of the rectangle equals 90 degrees, the answer needs the same letter in the middle of each angle.
The correct answer is D, because the letter A is the middle letter of each angle.
why do some fractions convert to terminating decimals, while others repeat.
Because they do not have similar multiples with each other so they repeat, while some others do so they are terminating.
hope that helps :)
can someone help me on this? and please explain on how you do it. Thank you!
[tex]\frac{220 (granola bars/year}{1 (person)} * 273 million (people) = 60,060 million (granola bars)[/tex]
= 60,060,000,000
= 6.006 x 10¹⁰
Answer: 6.006 x 10¹⁰
Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
16 is her weekly allowence
Imani's weekly allowance is $16. This is determined by setting up and solving an algebraic equation based on the information provided in the problem.
Explanation:Let's use the information given in the problem. The student, Imani, had an initial allowance. She spent half of it on mini-golf and then earned an extra $4 by washing a car. After these transactions, she has $12 remaining. We can use this to set up a simple algebraic equation.
Let x be the initial allowance. We know from the problem that Imani spent half of it, which is 0.5x, on mini-golf and earned an extra $4. So, the equation can be written as:
0.5x + $4 = $12
Solving this equation gives the weekly allowance. If we subtract $4 from both sides of the equation, we get 0.5x = $8. If we then divide each side by 0.5, we find that x = $16.
So, Imani's weekly allowance is $16.
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Please help me! I will mark the correct answer brainliest!
Answer: The answer is y=-2x+3
Answer:B
Step-by-step explanation:
The step by step solution us given in attachment below.
Help please !!! Oh
Select all the equations where m= 4 is a solution
Choose 3 answers:
A) 13 = 9 + m
B)7- m = 3
C) 15 = 11m
D) 5 = m + 2
E) 20 divide m =5
Answer:
A, B, E
Step-by-step explanation:
A) 13=9+m
m= 13-9
m=4 ✔️
B) 7-m =3
m= 7-3
m=4 ✔️
C) 15= 11m
15=11*4
15≠44
D) 5= m+2
If m=4 therefore
5≠4+2
5≠6
E) 20 divide m = 5
20/4 = 5
therefore, m=4 ✔️
By substituting m=4 into each equation, we find that options A) 13 = 9 + m and E) 20 divided by m = 5 are the correct equations where m=4 is a solution.
Explanation:In mathematics, specifically algebra, we can solve and check equations by plugging in values. You are asked to find the equations where m = 4 is a solution.
Let's substitute m with 4 in each equation:
A) 13 = 9 + m becomes 13 = 9 + 4. Hence, 13 = 13 which is true. B) 7- m = 3 becomes 7 - 4 = 3 so it is incorrect because 3 is not equal to 7 - 4. C) 15 = 11m becomes 15 = 44 which is incorrect. D) 5 = m + 2 becomes 5 = 4 + 2 which is incorrect because 5 is not equal to 6. E) 20 divided by m = 5 becomes 20 divided by 4 equal to 5. So, 5 = 5 is correct.Therefore, the equations where m=4 is a solution are A) 13 = 9 + m and E) 20 divided by m = 5.
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If kara lines up all 3/4 inch button what would be the total if the length?
To find out the total length of the buttons when lined up, multiply the number of buttons by the length of one button (3/4 inch). An expression for this would be L = n imes (3/4). A button is considered pressed if the extended key length K* is greater than or equal to LO, the rest length of the lock.
Explanation:If Kara lines up all her 3/4 inch buttons, the total length of the buttons aligned in a row can be found by multiplying the number of buttons by the length of one button. Let's denote the number of buttons as n, and the length of one button as 3/4 inches. Hence, the expression for the total length L would be L = n imes (3/4) inches. If the key K* finally stops at a position that is greater than or equal to the rest length of the lock LO, then the button will be pressed.
To determine whether the button will be pressed, we could set up an inequality: K* \\geq LO. If this condition holds true, Kara knows that the button is pressed.
In a triangle the length of two sides are 1.9m and 0.7m. What is the length of the third side, if you know that it should be a whole number?
Answer:
2
Step-by-step explanation:
A side of a triangle is less than the sum of the lengths of the other two sides and is greater than the positive difference of them.
third side is in between 1.2 and 2.6 but it has to be a whole number so its 2
A possible measure of the third side is 2m (to the nearest whole number)
Using the triangular theorem which states that the measure of the third side of the triangle is less than the sum of the other two sides.
Given the length of the other two sides as 1.9m and 0.7m
Taking the sum
Sum of other two sides = 1.9m + 0.7mSum of other two sides = 2.6mSince the length of the third side must e less than the sum, hence the required answer must be less than 2.6m.
A possible measure of the third side is 2m (to the nearest whole number)
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0.2(6x+1)/3.6 = 0.5x/9 please include work
0.2(6x+1)/3.6=0.5x/9
We move all terms to the left:
0.2(6x+1)/3.6-(0.5x/9)=0
We add all the numbers together, and all the variables
0.2(6x+1)/3.6-(+0.5x/9)=0
We get rid of parentheses
0.2(6x+1)/3.6-0.5x/9=0
We calculate fractions
There is no solution for this equation
central subs made 27 sandwiches using 12 pounds of turkey.how much turkey was used per sandwick?
27*12= 324 pounds of turkey
If function f is defined by f(x)=2/3-4 what is f(-18)
Gotcha!
Since there is no variables listed, I'll solve it both ways. :-)
f(-18)=2/3(-18)-4
Multiply the fraction by negative 18!
f=-12-4
answer: f=-16
If it's this way then it goes like this:
f(-18)=2/3-4(-18)
f=2/3+72
f=218/3 or f=72.66666..... Rounded: 72.7
What is the slope of the line whose equation is 12=4x-6y ?
the slope would be -2/3 hope this helps
Lin earns a salary of $65000 a year. His benefits are equal in value to 40 percent of his salary. What is the value of Lin's benefits?
The answer is 65000 divided by 40/100, which equates to 26000.
Tl;DR the benifit is 26000
How to write a comparison sentence 5*9= 45
I think a comparison sentence could be 45 is 5 times as many as 9.
NEED HELP ASAP!!!! PLEASE?! An insecticide contains 75 centigrams of inherit ingredient for every 1 centigrade of active ingredient. If a quantity of the insecticide weighs 380, how much of each type ingredient does it contain?
Add the ratios:
75 +1 = 76
Divide the total by that:
380 / 76 = 5
Multiply each ratio by 5:
75 * 5 = 375
1 * 5 = 5
There is 375 centigrams of inherit
and 5 centigrams of active
Lupe’s chili recipe makes 12 servings and uses 12 green peppers and 4 red peppers. Drag green peppers and red peppers into the box to show how many Lupe needs for 9 servings.
Answer: 9 green peppers and 3 red peppers
Step-by-step explanation:
Lupe makes 12 servings:
She uses 12 green peppers and 4 red peppers.
If you want to know the number of each pepper that she needs for servings, you must divide the number of peppers by the number of servings:
green : 12/12 = 1
She needs one green pepper for serving:
red: 4/12 = 1/3
She needs one third of a red pepper for serving, so for 9 servings she needs:
9*1 = 9 green peppers
9*(1/3) = 9/3 = 3 red peppers
what is the equation for 8x=40
Remark
What exactly do you want? You have written the equation. So perhaps what you would like is the value for x.
When people start doing algebra usually they are asked what multiplied by 8 will give 40. There is no procedure to that, just an answer.
8 times 5 = 40. So the answer is 5.
You do know that 8x means 8*x or multiply 8 times x do you not?
Procedure
8*x = 40 Divide both sides by 8
8x ÷ 8 = 40÷8
x = 5
what is the value of a3
What are your options for the answers soI can further help you.
I need help with this question please.
Problem: A karate team had 6 girls and 9 boys. Then 2 more girls and 3 more boys joined the team. Did the ratio of girls to boys stay the same?Explain.
The ratio of girls to boys in the karate team remained the same at 2:3, both before and after the new members joined.
Initially, there were 6 girls and 9 boys, creating a ratio of 6 girls to 9 boys, which simplifies to 2:3 when divided by the greatest common divisor, 3. After 2 more girls and 3 more boys joined, the team had 8 girls and 12 boys.
This new ratio also simplifies to 2:3, since both the numerator and denominator can be divided by 4. Therefore, the ratio of girls to boys did not change after the new members joined the team; it remained the same at 2 girls for every 3 boys.