Two adjacent angles form a complementary relationship. One angle is twelve more than twice the other angle. Draw a picture to represent the situation. Then solve for each unknown angle measure.
Answers
Answer:
The angles are 26 and 64
Step-by-step explanation:
When two angles are complementary, what this means is that the add up to 90 degrees
Now, let’s say one of the angles is x, the other angle is 12 more than twice it; mathematically that would be 2x + 12
Since they add up to be 90, we have
x + 2x + 12 = 90
3x + 12 = 90
3x = 90-12
3x = 78
x = 78/3
x = 26
The other angle is 2x + 12 = 2(26) + 12 = 52 + 12 = 64
Two adjacent angles form a complementary relationship. One angle is twelve more than twice the other angle than the value of that two complementary angles are [tex]26^\circ[/tex] and [tex]64^\circ[/tex].
Given :
Two adjacent angles form a complementary relationship.One angle is twelve more than twice the other angle.The sum of two complementary angles is [tex]90^\circ[/tex]. Let one of the complementary angles be 'a' then the other complementary angle is (12 + 2a) according to the given data.
The mathematical expression of the sum of complimentary angles is:
a + (2a + 12) = [tex]90^\circ[/tex]
Now, open the parenthesis and further simplify the above ex[pression.
3a + 12 = 90
Subtract both sides by 12 in the above expression.
3a + 12 - 12 = 90 - 12
3a = 78
Now, divide both sides by 3 in the above expression.
a = [tex]26^\circ[/tex]
Now, the other complementary angle is (2(26) + 12 = [tex]64^\circ[/tex]).
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Related Questions
Please help me with this question:((
Answers
Which of these is not an equation? A 3b = 5 B 43(4x + 7y) C 78 = 3p - 37 D a - 17 = 1,825,026
Answers
Answer:
B
Step-by-step explanation:
When they say equation that means that something is EQUAL to something else. So, when there is no equal sign, there is no equation. All but B have an equal sign so they are equations.
Though B, does not have an equal sign it is just an expression.
The option B 43(4x + 7y) is not an equation; it is an expression
How to determine which is not an equation?From the question, we have the following parameters that can be used in our computation:
The list of options in relation to equations
By definition
Equations are expressions represented by the "=" symbol where all sides of the symbol are equal
Using the above as a guide, we have the following:
A 3b = 5 --- True
B 43(4x + 7y) --- False; it is an expression
C 78 = 3p - 37 --- True
D a - 17 = 1,825,026--- True
Hence, B 43(4x + 7y) is not an equation
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In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=20°, and XY = 73 feet. Find the length of ZX to the nearest tenth of a foot
Answers
Answer:
ZX = 68.6 feet
Step-by-step explanation:
In this question, we are asked to calculate the length of ZX.
please check attachment for diagram of triangle.
Now, we have to use trigonometric identities to get the length xz.
Looking at the triangle, we can see we have the hypotenuse an angle and we are asked to calculate the the adjacent.
The trigonometric identity to use here is the Cosine.
Mathematically, The cosine is the ratio of the adjacent to the hypotenuse.
Cos 20 = xz/73
xz = 73 Cos 20
xz = 73 * 0.939692620786
xz = 68.6 feet
I need help solving this.
(6e−3f−4)⋅2=?
Answers
Answer:
− 6 f + 12 e − 8
Step-by-step explanation:
Answer:
12e-6f-8
Step-by-step explanation:
You just multiply what is in parenthesis by 2.
We need a flower garden with a perimeter of 10 feet and an area of 4 square feet
Length : Feet
Width : Feet
Answers
use "guess and check" method if this is an elementary school question
guess length is 4 and width is 1
4 + 1 + 4 + 1 = 10
4 x 1 = 4
if this is a high school question, use the attached answer
Please help I’ll give brainliest !! :(
Answers
Answer:
a) 9/20 or 45%
b) 2/5 or 40%
c) Answer choice 1
Step-by-step explanation:
a) During Linda's experimentation, she spinned the spinner a total of 18+14+8=40 times. Out of those, 18 landed on grey. Based on her results, the experimental probability is 18/40=9/20 or 45%.
b) Assuming the spinner is fair, since there are 5 total possible colors to land on and 2 of them are gray, the probability is 2/5 or 40%.
c) As time goes on and the spinner is spinned more and more often, it will continue to approach the theoretical probability, because that is the likelyhood every time that the arrow lands on grey. Hope this helps!
will mark as brainlest PLz help
Answers
Answer:
27[tex]\pi[/tex] OR 84.78
Step-by-step explanation:
find the area using the formula [tex]\pi r^{2}[/tex] and multiply it by [tex]\frac{3}{4}[/tex] because it is three fourths of a circle
Find the volume of a rectangle with a base of 1/4 a height of 4/2 with a width of 1/4
Answers
Answer:
1/8
Step-by-step explanation:
Volume is base times width times height. 4/2x 1/4x 1/4= 1/8
What is the volume of this piece of wood?
Answers
The volume of the wood is found using the formula for the volume of a rectangular prism, which is the product of its length, width, and height. Using the given dimensions, the wood's volume is 9 cubic inches. Density calculations would further require the wood's mass.
Explanation:To find the volume of a piece of wood, you can apply the formula for the volume of a rectangular prism, which is length × width × height. For example, if a piece of wood has dimensions of 6 inches in length, 3 inches in width, and 0.5 inches in height, the calculation for its volume would be:
Volume of the wood = 6 in. × 3 in. × 0.5 in. = 9 in.³.
If we wish to discuss the density of wood, we would need its mass along with its volume. The density can then be calculated by dividing the mass by the volume. Knowing the density is useful as it can help determine if the wood will sink or float when placed in water, an example of the principle of buoyancy.
Melanie is very concerned with avoiding late fees. The table shows her choices for paying her bills. Method Bill Payment Methods 1 Pay by check 2 Pay online 3 Set up automatic payments 4 Pay by telephone Which method should she use to pay her bills? Enter the response using the corresponding method number.
Answers
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Determine the intercepts of the line
Answers
Answer:
y= (0,-32) x=(16/5,0)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (16/5,0)
y-intercept(s): (0,−32)
Program the VR Robot to drive forward 6 grid squares, turn around, and drive back 6 grid squares. How many degrees did you have to turn to face the way you came? What is the total distance traveled? Use a calculator and/or pencil and paper to find out.
Answers
Final answer:
The VR Robot will need to turn 180 degrees to face the original direction after driving forward 6 grid squares. It then drives back the same distance, totaling 12 grid squares or units of distance traveled.
Explanation:
To program a VR Robot to drive forward 6 grid squares, turn around, and drive back 6 grid squares, we need to calculate the total degrees turned and the total distance traveled. When turning to face the way it originally came from, the robot will need to turn 180 degrees.
This is because a half-circle, or a complete about-face turn, is 180 degrees. For the total distance traveled, if each grid square is a standardized distance (let's assume 1 unit distance per grid square), then driving forward 6 grid squares and back would accumulate a total of 12 grid squares or units.
The total distance traveled by the VR robot is 12 units. Turning around to face the original direction is simply a 180-degree turn, whether this is done to the left or to the right.
Violet is making a rectangular banner for the basketball team to run through before the start of the game. She has 24 square feet of paper. List all of the possible dimensions of rectangles with an area of 24 square feet.
Answers
Answer:
1 x 24 = 24
2 x 12 = 24
3 x 8 = 24
4 x 6 = 24
if the dimensions are whole numbers
Step-by-step explanation:
The possible dimensions for a rectangular banner with an area of 24 square feet are 1 ft x 24 ft, 2 ft x 12 ft, 3 ft x 8 ft, and 4 ft x 6 ft.
The question asks us to list all possible dimensions of rectangles that can be made with an area of 24 square feet. Rectangles with the same area can have different dimensions if the length and width are factor pairs of the area. For 24 square feet, we look for pairs of numbers that multiply to give us 24.
1 ft x 24 ft
2 ft x 12 ft
3 ft x 8 ft
4 ft x 6 ft
These are all the combinations of whole number dimensions that would result in an area of 24 square feet for the banner.
The 4 zeroes in 10,000 tell me to move the decimal 4 places to the right
Answers
Answer:
True
Step-by-step explanation:
It has four zero's to the right of the decimal point
Find the slope of the line that passes through (6, 9) and (8,6).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
-3/2
Step-by-step explanation:
The Japanese 5 yen coin has a hole in the middle. What are the possible ways to calculate the difference between the distances from the outer edges and the inner edges of the coin? Check all that apply. Subtract the two diameters and multiply by 3107-11-05-20-05-task Calculate the circumference of the coin. Add the two diameters and multiply by 3107-11-05-20-05-task Subtract the circumference of the hole from the circumference of the coin. Calculate the radius of the hole.
Answers
Answer:a) Subtract the two diameters and multiply by 3.14
d) Subtract the circumference of the hole from the circumference of the coin
Step-by-step explanation:
i just did the assignment
The possible ways to calculate the difference between the distances from the outer edges and the inner edges of the coin is
a) Subtract the two diameters and multiply by 3.14
b) Subtract the circumference of the hole from the circumference of the coin
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the coin be represented by a circle
Now , The outer edge of the coin is having a diameter of d₁
The inner edge of the coin is having diameter of d₂
So , the difference between the distances from the outer edges and the inner edges of the coin is given by
A = ( d₁ - d₂ )π
A = 2πr₁ - 2πr₂
Hence , difference between the distances from the outer edges and the inner edges of the coin is solved
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Solve by taking the square root of both sides.
3(x+ 3)^2 - 81 - 0
Answers
Answer:
x = 2.20
Step-by-step explanation:
3(x+3)^2 = 81
(x+3)^2 = 81/3
(x+3)^2 = 27
x+3 = 5.20
x = 5.20 - 3
x = 2.20
Answer:
a
Step-by-step explanation:
Given
3(x + 3)² - 81 = 0 ( add 81 to both sides )
3(x + 3)² = 81 ( divide both sides by 3 )
(x + 3)² = 27 ( take the square root of both sides )
x + 3 = ± = ± 3 ( subtract 3 from both sides )
x = - 3 ± 3
x = - 3 - 3 or x = - 3 + 3 → a
joe ran half the distance that Phil did. If the distance that Phil ran is represented by r, which expression represents the distance that Joe ran?
Answers
Answer:
r/2
Step-by-step explanation:
Answer:
r/2
Step-by-step explanation:
Wynn needs to find the center of the data set shown on the dot plot. The dot plot has _____ dots. The dot plot has ______dots to the left of the center and dots to the right of the center. The center of the data set is ______________
Answers
Answer:
Wynn needs to find the center of the data set shown on the dot plot. The dot plot has ___15__ dots. The dot plot has ___7___dots to the left of the center and dots to the right of the center. The center of the data set is _______8_______
We have assumed that the dot plot has 15 dots for the purpose of solving this case.
Step-by-step explanation:
The center of the dot plot is obtained by subtracting 1 from the total dots and dividing the result by 2.
The center of data is a single number that summarizes the entire data set. It is called the Median. The median represents the midpoint value of a data set, where the values are arranged in ascending or descending order. Unlike the mean, the median can be used to find the center of data when the numbers in the data set contain one or more outliers.
It is one of the measures of central tendencies and the most accurate measure for that matter.
Wynn needs to find the center of the data set shown on the dot plot. The dot plot has 10 dots. The dot plot has 5 dots to the left of the center and dots to the right of the center. The center of the data set is 5.5.
To provide an accurate and complete response, I'll need to define a hypothetical dot plot. Let's assume we have a dot plot representing the following data set:
Now, let's break down the problem:
Number of dots on the dot plot:
- Count the total number of dots: [tex]\(1 + 1 + 1 + 2 + 1 + 1 + 2 + 1 = 10\)[/tex]
- So, the dot plot has 10 dots.
Finding the center of the data set:
- The center of the data set is determined by the median when the data is ordered. Since there are 10 data points (an even number), the median will be the average of the 5th and 6th values when sorted.
Sorted data: [tex]\(2, 3, 4, 5, 5, 6, 7, 8, 8, 9\)[/tex]
The 5th value is 5, and the 6th value is 6. Therefore, the median is:
[tex]\[ \text{Median} = \frac{5 + 6}{2} = 5.5 \][/tex]
Number of dots to the left and right of the center:
- Dots to the left of the median (5.5): [tex]\(2, 3, 4, 5, 5\)[/tex] (5 dots)
- Dots to the right of the median (5.5): [tex]\(6, 7, 8, 8, 9\)[/tex] (5 dots)
- The dot plot has 10 dots.
- The dot plot has 5 dots to the left of the center and 5 dots to the right of the center.
- The center of the data set is 5.5.
When you go to the store, does tax increase or decrease the cost of your items?
Answers
Answer:
It increases the cost of your items
Step-by-step explanation:
Answer:
It increases
Step-by-step explanation:
Well tax is used to help pay for school and other government regulated actions so it wouldn't make sense to lower the price.
Ascatterplot has a negative, linear correlation. Which statement is true about the relationship between the x- and y-values?
As the x-values increase, the y-values tend to increase.
As the x-values increase, the y values tend to decrease.
As the x-values decrease, the y-values tend to decrease.
As the x-values decrease, the y-values tend to vary randomly.
Answers
Answer:
B) As the x-values increase, the y-values tend to decrease
Answer:the answer is B
Step-by-step explanation:
Eva is at a sushi restaurant. She ordered 2 pieces of squid for a total of $3.50, 1 piece of eel for $3.25, 3 pieces of tuna for a total of $6.75, and 4 pieces of crab for $8.00. Which list shows the unit cost of each pieces of sushi from least to greatest? squid, crab, tuna, eel eel, squid, tuna, crab squid, eel, crab, tuna eel, tuna, crab, squid
Answers
Answer:
squid, crab, tuna, eel
Step-by-step explanation:
Just make each sushi piece into an equation, then solve it.
For example, for the squid: (s stands for squid)
[tex]2s = 3.5\\ s=1.75[/tex] Divide both sides by 2 to get "s" by itself
Eel: (e stands for eel)
e = 3.25
Tuna: (t stands for tuna)
[tex]3t=6.75\\ t=2.25[/tex] Divide both sides by 3 to get "t" by itself
Crab: (c stands for crab)
[tex]4c=8\\ c=2[/tex] Divide both sides by 4 to get "c" by itself
**Then order from least to greatest**
Answer: Squid crab tuna eel
Step-by-step explanation: I took the test :)
need help please! :(
Answers
2) 0.23% chance
3) you’d have a 50% chance
Chase and Emily are buying stools for their patio. They are deciding between 3 heights (table height, bar height, and XL height) and 3 colors (brown, white, and black). They each created a display to represent the sample space of randomly picking a height and a color.
Answers
Answer:
Neither
Step-by-step explanation:
Answer:
D: Neither
Step-by-step explanation:
Which equation can be used to find the surface area of the cylinder?
r = 4 in.
h = 16 in.
O S- 2x(4)? + 2 x(4)(16)
OS-25(8)2 + 2x{8)(16)
• S=28(16)2 + 2x{16)(4)
© S-2(4) + 2(4)(16)
Answers
Step-by-step explanation:
Surface Area of the Cylinder
= 2πr² + 2πrh
r = 4 in
h = 16 in
Surface Area :
= 2πr² + 2πrh
= 2π (4)² + 2π (4) (16)
Hope it helpful and useful :)
The correct equation to find the surface area of the cylinder is,
⇒ 2 π × 4 × 16 + 2π × 4²
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
For a cylinder,
r = 4 in.
h = 16 in.
Now, We know that;
its surface area is,
⇒ 2π r h + 2π r²
Hence, The correct equation to find the surface area of the cylinder is,
⇒ 2 π × 4 × 16 + 2π × 4²
⇒ S = 128π + 32π
⇒ S = 160π
Thus, The correct equation to find the surface area of the cylinder is,
⇒ 2 π × 4 × 16 + 2π × 4²
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Can someone please help me with this
Answers
Answer:
11 + √65
Step-by-step explanation:
The distance between A and C is 7 units; the distance between C and B is 4 units. 7 will be a and 4 will be b. The distance between A and B is c, because it is unknown.
The Pythagorean Theorem states a² + b² = c². So, if you plug in the values for a and b, you will get 7² + 4² = c² which equals 49 + 16 = c², which equals 65 = c²
Now you have 65 = c², and the only way you can solve for c is to find the square root of 65. Since 65 is not a perfect square number and therefore does not have a whole number square root, you can leave it as √65.
Now the values you have are 7, 4, and √65. Add those together and you get 11 + √65. :)
The area of a rectangle is 14 square units. It has side lengths x and y. Given each value for x, find y.
Answers
To find the value of y, given the area of a rectangle and its side lengths x and y, divide the area by x to find y.
Explanation:To find the value of y, given the area of a rectangle and its side lengths x and y, we can set up the equation:
x * y = 14
To solve for y, we need to rearrange the equation and isolate y:
y = 14 / x
This equation shows that y is equal to the area of the rectangle divided by x. By plugging in different values for x, we can calculate the corresponding values of y.
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find the distance between (4, -5) and (-4, -5) on the coordinate plane
Answers
Answer:
x difference is 8
Step-by-step explanation:
Y values are the same so just find the difference in -4 and 4
Find the HCF of 85 and 153.
Answers
Answer:
17
Step-by-step explanation:
85 div 17 = 5
153 div 17 = 9
No higher number
Answer:
17
Step-by-step explanation:
factors of 85 : 1, 5, 17,85
factors of 153 :1 , 3 , 9 , 17, ..
HCF = 17
This pizza has a radius of 4 inches . Which measurement is closest to the area of this pizza in inches?