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Related Questions
If three times the supp. of an angle is subtracted from seven times the comp. of the angle, the answer is the same a that obtained by trisecting a right angle. Find the supplement.
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Next, we'll need to review a few definitions:
- Two supplementary angles add up to a straight angle, or 180°
- Two complementary angles add up to a right angle, or 90°
- Trisecting an angle is splitting a larger angle into three equal smaller angles.
If we call [tex]\theta[/tex]'s supplement [tex]\beta[/tex] and [tex]\theta[/tex]'s complement [tex]\alpha[/tex], we know that:
[tex]\theta+\beta=180\\ \theta+\alpha=90[/tex]
or, if we want to put everything in terms of [tex]\theta[/tex]:
[tex]\beta=180-\theta\\\alpha=90-\theta[/tex]
We're given from the problem that [tex]3\beta[/tex] is being subtracted from [tex]7\alpha[/tex], which in terms of [tex]\theta[/tex] gives us:
[tex]7(90-\theta)-3(180-\theta)[/tex]
Next, we're told that this expression is equal to the angle obtained by trisecting a right angle. A right angle is equal to 90°, so trisecting it, we get the angle 90°/3 = 30°.
Putting everything together, we have:
[tex]7(90-\theta)-3(180-\theta)=30[/tex]
From there, solve for [tex]\theta[/tex], but remember that the question asks for the supplement of [tex]\theta[/tex], not [tex]\theta[/tex] itself. Fortunately, we have an equation from earlier for the supplement, [tex]\beta[/tex]:
[tex]\beta=180-\theta[/tex]
Simply put your result from solving for [tex]\theta[/tex] into that equation and solve, and you'll have your answer.
3ax + 2b / c = 4d solve for x
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Final answer:
To solve the equation 3ax + 2b / c = 4d for x, isolate x on one side of the equation by multiplying both sides by c, subtracting 2b, and dividing by 3a.
Explanation:
To solve the equation 3ax + 2b / c = 4d for x, we need to isolate x on one side of the equation. Here are the steps:
Multiply both sides of the equation by c to get rid of the denominator: 3ax + 2b = 4cd.Subtract 2b from both sides of the equation: 3ax = 4cd - 2b.Divide both sides of the equation by 3a to solve for x: x = (4cd - 2b) / (3a).Therefore, the solution for x is x = (4cd - 2b) / (3a).
Thomas earns x dollars each week walking his neighbor’s dog. He also earns $10 allowance each week.
Which expression represents the amount of money Thomas has earned after 4 weeks?
Select each correct answer.
4x+10
4x⋅10x
4(x+10)
x+10+x+10+x+10+x+10
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Answer:
option C and D
Step-by-step explanation:
Thomas earns x dollars each week walking his neighbor’s dog. He also earns $10 allowance each week.
we need to find how much Thomas has earned after 4 weeks
in 1 week , x dollars earned
Also $10 allowance each week.
So amount earned in 1 week is [tex]x+10[/tex]
To find the Amount earned in 4 weeks , multiply the expression by 4
amount of money Thomas has earned after 4 weeks is [tex]4(x+10)[/tex]
[tex]4(x+10)=4x+40=x+10+x+10+x+10+x+10[/tex]
option C and D
Solve for y 3y-9=6 show work
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add 9 to both sides
3y=15
Divdide both sides by 3
y=5 is the answer
Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?
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Divide 6 by 2 and square the result and add to both sides of the equation.
6/2 = 3 3^2 = 9 x^2 + 6x + 9 = 7 + 9
x^2 + 6x + 9 = 16
(x+3)^2 = 16
x+3 = +- Sqrt 16) = +-4
x = -3+4 = 1
x = -3-4 = -7
howdy!!
yr answer is
A. {–7, 1} !!!
What is the area of a parallelogram whose vertices are A(−12, 2) , B(6, 2) , C(−2, −3) , and D(−20, −3) ? Enter your answer in the box.
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Answer:
[tex]\boxed{90}\,\text{units$^2$}[/tex]
Step-by-step explanation:
The sides AB and CD are parallel to the x-axis and 5 units apart. The length of side AB is 6-(-12) = 18 units. The area is the product of these dimensions:
Area = (Base)(Height) = (18 units)(5 units) = 90 units²
Judy has started walking briskly everyday. if, as a result, she burned 350 calories more per day than she consumes, how many days will it take her to lose 10 pounds
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350x10=3,500
it will take Judy 100 days to lose 10 pounds.
10 * 10 = 100
It will take Judy 100 days to lose 10 lbs
I need number 28 please
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Calculate the area of the irregular polygon shown below:
45 inches squared
50 inches squared
60 inches squared
85 inches squared
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(12×3) + 3(0.67×7) = 50.07inches²
≈ 50inches²
hope this helps
make it the brainliest if it's correct....
9 more than the quotient of negative 36 and negative 4
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-36divided by -4 is 9 (negative divide by a negative is a positive)
then you add 9 which is 18
9+9
18
The answer is 18. Hope this helps!
12. What percent of 60 is 12? Show your work.
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5 times.
What is 100/5?
20
So, 20%.
You could also just divide 12/60 then get .2 and then realize that it is the same as .20 and that is the same as 20%.
1643 AD minus 582 BC
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Answer:
2,225 years apart
Step-by-step explanation:
I NEED HELP I'M SOO LOST I'LL GIVE A BRAINLIEST TO THE BEST ANSWER
Contrast the tone of the following two passages. (First, determine the tone of each passage. Then determine how the tones differ. What is the tone of each? How do you know? How do the tones differ?)
Tone ONE
Envisioning paths where Russell’s discovery could lead him, Rosalind and I began grooming him for interviews with the local news and math journals. In our minds, Russell’s future was bright and without limitation, starting with a full scholarship to MIT or Northwestern.
Tone 2
I came home for brief visits, but these visits were too awkward without Rosalind. The house was profoundly still. Mommy stayed in her room. Russell didn’t talk, let alone look at me.
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The first passage has a hopeful and ambitious tone, using optimistic language to express excitement for the future. The second passage has a melancholic and isolated tone, using somber phrases to convey discomfort and disconnection. These contrasting tones reflect a range of emotions in the narrative.
Explanation:To contrast the tone of two passages, we must first identify the attitude or mood present in each. In Tone ONE, the writer’s use of optimistic phrases such as "Envisioning paths," "grooming him for interviews," and "future was bright" convey a hopeful and ambitious tone. This tone suggests excitement for the future possibilities and success that lie ahead for Russell.
In contrast, Tone 2 uses phrases like "too awkward," "profoundly still," and "didn’t talk" which reveal a somber, isolated and possibly melancholic tone. It reflects the author’s feelings of discomfort, silence, and the lack of communication and connection with the family.
The two tones differ significantly, with the first being uplifted and forward-looking, while the second expresses a sense of disconnection and sadness, giving us a comprehensive view of the contrasting emotional landscapes in the same narrative context.
A wooden board is leaning against a house. the base of the board is 10 ft from the base of the house and the base of the board forms a 35 degree angle with the ground
so what is the length of the wooden board?
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make sure your calculator is in Degree mode.
How many 10 are in 64785
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the area of one of the smaller circles is 8 pi in2. find the area of the shaded region
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the answer is D. 16 pi
Answer:
D.
Step-by-step explanation:
a. Find the value of a. b. Find the value of the marked angles.
A)14; 94°
B)16; 106°
C)19; 124°
D)15; 100°
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Answer:
D)15; 100°.
Step-by-step explanation:
Given : Verticle opposite angles (6a + 10) and (3a + 55).
To find : Find the value of a. b. Find the value of the marked angles.
Solution : We have given (6a + 10) and (3a + 55).
Verticle opposite angles are equal
Then
6a + 10 = 3a + 55
On subtracting both sides by 3a
6a - 3a + 10 = 55
3a + 10 = 55
On subtracting by 10 both sides.
3a = 55 -10.
3a = 45.
On dividing the 3 by both sides
a = 15°.
Then ,
6 (15) + 10.
90 + 10 = 100
b =100°.
Therefore, D)15; 100°.
Express 3x + 4y = 24 in slope-intercept form.
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4y = -3x + 24
4y = -3(x -8)
hope this helps
Which expression is equivalent to 32⋅32⋅32⋅32 ?
32⋅4
(32)4
342
324
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Answer: [tex]32^4[/tex].
Step-by-step explanation:
The given expression : [tex]32\cdot 32\cdot 32\cdot32[/tex]
Using the law of exponent :-
[tex]a\times\atimes....\times a (\text{ n times})=a^n[/tex]
Now, the given expression ,becomes
[tex]32\cdot 32\cdot 32\cdot32\text { (4 times)}=32^4[/tex]
Hence, the expression is equivalent to the given expression [tex]32\cdot 32\cdot 32\cdot32[/tex] is [tex]32^4[/tex].
Write each rational number as a terminating decimal.
1. 19/20
2. -1/8
3. 17/5
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-1/8= -0.125
17/5= 3.4
HOPE THIS HELPS!
-1/8 as a decimal is -0.125
17/5 as a decimal is 3.4
A piece of land is to be fenced and subdivided as shown so that each rectangle has the same dimensions. Express the total amount of fencing needed as an algebraic expression in x.
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If two or more rectangles have the same dimensions is because they are congruent. In this way, they share two corresponding sides. Our first rectangle has the following sides:
L1 = x
L2 = 3x + 4
Therefore the second and third rectangles need to have the same sides. Therefore, we will have that the sides of the second one is also:
L1 = x
L2 = 3x + 4
and the sides of the third one is also:
L1 = x
L2 = 3x + 4
Therefore, the total amount of fencing needed is:
T = 3(3x + 4) + 4(x)
T = 9x + 12 + 4x
T = 13x + 12
Moreover, we can compute the area of the fence as follows:
A = [(3x + 4) + (3x + 4) + (3x + 4)]x = (3x + 3x + 3x + 4 + 4 + 4)x
A = (9x + 12)x
A = 9x² + 12x
The algebraic expression that expresses the total amount of fencing needed is 11X + 20.
CalculusGiven that a piece of land is to be fenced and subdivided as shown so that each rectangle has the same dimensions, to express the total amount of fencing needed as an algebraic expression in X, the following calculation must be performed:
3X + 4 = 6 wooden fence blocksEach rectangle has 3 blocks on each side and 6 blocks in front.Number of fronts = 3Number of sides = 4(3X + 4) x 3 + ((3X + 4) x 4) / 2 = Algebraic expression9X + 12 + (4X + 16) / 2 = Algebraic expression9X + 12 + 2X + 8 = Algebraic expression11X + 20 = Algebraic expressionTherefore, the algebraic expression that expresses the total amount of fencing needed is 11X + 20.
Learn more about calculus in https://brainly.com/question/956987
Tommy stands on a diving board that is 4 fee above the pools surface. He dives and touches the bottom of the pool, which is 12 feet below the pools surface. What is the total length of Tommy’s dive?
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help ma please
What are the steps for using a compass and straightedge to construct a line through point A that is parallel to line j?
A horizontal line j and a point A are drawn. The point A is below the horizontal line j.
Drag the steps and drop them in order from start to finish.
Place the point of the compass on point Q and open it to width QR .
Use the straightedge to draw a line k that passes through A and intersects line j. Label the point of intersection as point P.
Use the straightedge to draw AB←→.
Without changing the width of the compass opening, place the point of the compass on point A and draw an arc that intersects line k. Label the intersection as point S.
With the compass opening set to width QR , place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Label the intersection of the arcs as point B.
Place the point of the compass on point P and draw an arc that intersects lines j and k. Label the intersections as points Q and R.
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Answer:
Step 1: Use the straightedge to draw a line k that passes through A and intersects line j. Label the point of intersection as point P. This is because you must have a point of intersection with the line before you can move forward.
Step 2: Place the point of the compass on point P and draw an arc that intersects lines j and k. Label the intersections as points Q and R. This will give us a compass width to move forward.
Step 3: Place the point of the compass on point Q and open it to width QR.
Step 4: Without changing the width of the compass opening, place the point of the compass on point A and draw an arc that intersects line k. Label the intersection as point S. This gives us the point to use to construct the second point of our parallel line.
Step 5: With the compass opening set to width QR , place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Label the intersection of the arcs as point B. This is the second point of our parallel line.
Step 6: Use the straightedge to draw AB←→.
The steps are shown below:
What is line segment?A line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. The length of a line segment is given by the Euclidean distance between its endpoints.
Use the straightedge to draw a line k that passes through A and intersects line j. Label the point of intersection as point P. Place the point of the compass on point P and draw an arc that intersects lines j and k. Label the intersections as points Q and R. Place the point of the compass on point Q and open it to width QR. Without changing the width of the compass opening, place the point of the compass on point A and draw an arc that intersects line k. Label the intersection as point S. With the compass opening set to width QR , place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Label the intersection of the arcs as point B. Use the straightedge to draw AB←→.Learn more about line segment here:
https://brainly.com/question/25727583
#SPJ4
The sum of four consecutive even integers is 180. what is the smallest integer?
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second smallest #=×+2
third largest #=x+4
largest #=x+6
x+x+2+x+4+x+6=180
4x+12=180
4x=168
x=42
The smallest consecutive even integer would be 42.
Hope this helps!
A clipboard costs 2.23. it costs 0.53 more than a notebook. lisa buys two clipboards and one notebook, and paid with a ten dollar bill. use a tape diagram with calculations to show her change
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2.23 x 2 + (2.23 - .53) = 6.16
10 - 6.16 = 3.84
What issues does a person "charged" with a crime typically have to deal with?
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Ow is the constant max_length declared inside a method with the value of 99.98?
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MAX_LENGTH = 99.98
If f(x) is the total number of bacteria present in a sample after x hours, which of the following statements best describes the meaning of f(2) = 12? (1 point)
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Rule that maps each preimage
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A function is a rule that maps each preimage to a unique image.
Explanation:A rule that maps each preimage to a unique image is called a function. In mathematics, a function is a relation between a set of inputs (preimages) and a set of outputs (images) in which each input is associated with exactly one output.
For example, consider the function f(x) = 2x, where the input x is a preimage and the output 2x is the corresponding image. If we plug in x = 3, the preimage, we get f(3) = 2(3) = 6, the image.
Functions are commonly represented using algebraic expressions, tables, graphs, or diagrams. They are fundamental to many branches of mathematics and have applications in various fields. The phrase 'rule that maps each preimage' refers to the function or transformation that defines how to manipulate a preimage to obtain an image, either by applying a mathematical formula or by executing a geometric operation.
Please be a good person and help me..I really need to get this right to boost my grade in math ((and boy do I need it!!))
Use the graph shown to fill in the blank.
When x = 1, then y = a0.
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So when x = 1, the value of y is y = -2 which is the final answer