The ratio of the measurement of an angle to its supplement is 3:5. Find the measurement of the angle and its supplement.
-7th grade math
Answers
Answer:
The measurements of the two angles are 67.5° and 112.5°
Step-by-step explanation:
We can set up the equation just like a normal equation when you are finding x. Once we know what x is, then we can use that number and multiply it to 3 and 5 to find the measurements of the angles.
3x + 5x = 180
Combine like terms.
8x = 180
Divide 180 by 8.
x = 22.5
Now, we plug in x to 3 and 5.
3 * 22.5 = 67.5
5 * 22.5 = 112.5
Just to make sure our work is correct, let's add these numbers together.
67.5 + 112.5 = 180
The measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
What is supplementary angle?When the sum of the two angle are equal to the 180 degrees, then these angles are called the supplementary angle of each other.
The ratio of the measurement of an angle to its supplement is 3:5. Let, the ratio,
[tex]\dfrac{3}{5}=x[/tex]
As, these angles are supplementary to each other. Thus,
[tex]3x+5x=180\\8x=180\\\x=\dfrac{180}{8}\\x=22.5[/tex]
Thus, the measurement of the angle is,
[tex]3x=3\times22.5\\3x=67.5[/tex]
The measurement of the supplement of the angle is,
[tex]5x=5\times22.5\\5x=112.5^o[/tex]
Hence, the measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
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Related Questions
What is the height of the pyramid??
Answers
Classify the triangle by its angles and by its sides.
Answers
Answer:
Acute and Scalene.
Step-by-step explanation:
By definition, an acute triangle is one that has three angles that are less than 90 degrees. This triangle falls under the category.
By definition, a scalene triangle is one that has three sides with different measurements. This triangle falls under the category.
Hope this helps!
If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?
The figure must be an isosceles trapezoid because it has 2 congruent base angles.
The figure must be a rectangle because all rectangles have exactly 2 lines of symmetry.
The figure could be a rhombus because the 2 lines of symmetry bisect the angles.
The figure could be a square because the diagonals of a square bisect the right angles.
Answers
Answer:
the figure could be a rhombus because the 2 lines of symmetry bisect the angles
Step-by-step explanation:
Option C is correct. , if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, the figure could be a rhombus because the 2 lines of symmetry bisect the angles.
Quadrilaterals are figures with four sides and angles. Examples of quadrilateral include:
RectangleSquarerhombusA line of symmetry is a line that divides a shape such that they become mirror images of each other.
Hence, if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, from the options, the figure could be a rhombus because the 2 lines of symmetry bisect the angles (divides the angles equally).
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What is the area of this triangle?
PLSSS I WILL GUVE YOU THE POINTS
Answers
Answer:
12
Step-by-step explanation:
Step-by-step-explanation
will mark bianleast
Find the mean of the data in this set.
9.4
6
8.5
8
Answers
Answer:
The mean is 7.975.
Step-by-step explanation:
Answer:
The correct answer is 9.4, Hope this helps!
Step-by-step explanation:
I took the test and this was the correct answer!
(URGENT)Which summation formula represents the series below?
13 + 9 + 5 + 1
Σ-4n+1)
Σ-47-15)
Σ(n-4)
Σ(n-4)
Answers
Answer:
Σ-47-15)
Step-by-step explanation:
Option D is correct, the summation formula that represents the series is Σ(n-4) for n=1 to 4.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
A series is, roughly speaking, the operation of adding infinitely many quantities, one after the other, to a given starting quantity.
The series can be written as:
13 + 9 + 5 + 1 = (4×3 + 1) + (4×2 + 1) + (4×1 + 1) + (4×0 + 1)
= (4×(3-1) + 1) + (4×(2-1) + 1) + (4×(1-1) + 1) + (4×(0-1) + 1)
= Σ(n-4) from n=1 to 4
Therefore, the summation formula that represents the series is Σ(n-4).
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Find the equation of the line passing through the point (1,−5) and perpendicular to
y= 1/8x +2
Answers
Answer:
y=-8x+13
Step-by-step explanation:
you flip the m value
then you plug in the point (1,-5) to find b (y-intercept)
then you get 13.
The equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.
What is slope of line?Slope of line is defined as the angle of line. It is denoted by m.
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Let the equation of line : y = mx + c
Given that, the line passing through the point (1,−5) and
The line perpendicular to y = 1/8x +2
To determine the slope of the perpendicular line,
If two lines are perpendicular to each other, the product of their slopes will be -1. Therefore, the slope (m) of the line that is perpendicular to the given line is
m×1/8 = -1
m = -8
Substitute the value of slope m in the first equation,
y = -8x + c
To determine the equation of the line, substitute the found slope (-8) and the point (1,−5) into the point-slope form of a linear equation:
5 = -8(1) + c
-5 = -8 + c
c = -5 + 8
c = 3
So, the required equation of line : y = -8x + 3
Hence, the equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.
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−7/8 −(−5/6) in simplest form
Answers
Answer:
-1/24
Step-by-step explanation:
-7/8 - (-5/6)
Subtracting a negative is like adding
-7/8 + 5/6
Get a common denominator
-7/8 * 6/6 + 5/6 *8/8
-42/48 + 40/46
-2/48
-1/24
Which of the following represents 4x 3 in exponential form?
Answers
Answer:
4x3 in exponential from is: (3) (3) (3) (3)
Step-by-step explanation:
As you can see, there are 4 groups of 3. It can also be the other way around.
3x4 = (4) (4) (4) There are 3 groups of 4
hope this helped :3
Answer:
4x3 in exponential form is 3*3*3*3
Step-by-step explanation:
Which function has zeros at x = 3 and x = 7?
Answers
Answer:
f(x)= (x-3)(x-7)
Step-by-step explanation:
Sara went on a diet and reduced her daily calories from 2,000 to 1,400. By what percent did she reduce her daily calories?
Answers
Answer: 30%
Step-by-step explanation:
Difference is (2000 - 1400) = 600
%age reduction 600/2000 x 100 = 30%
Which expression is equivalent to x^2-10x+24
Answers
Answer:
(x-4)(x-6)
Step-by-step explanation:
By factorization, x^2-10x+24 can be written in the form (x-4)(x-6). Thus the roots of the quadratic equation are x= 4 and 6 respectively.
Joshua has a rectangular vegetable garden with the dimensions shown below. If he doubles the length and width of the garden, how will the area of the new garden compare to the area of the original garden?
Answers
11. The x-intercept of the line 2x + 3y – 36 = 0 is:
Answers
Answer:
(18,0)
Step-by-step explanation:
2x + 3y – 36 = 0
The x intercept is when y = 0
Solve for x
2x + 3*0 – 36 = 0
2x +0 -36 = 0
2x -36 =0
Add 36 to each side
2x-36+36 = 36
2x = 36
Divide each side by 2
2x/2 = 36/2
x = 18
The x-intercept of the line 2x + 3y - 36 = 0 is (18, 0)
Explanation:
Graph 2x + 3y - 36 = 0 and find the x-intercept.
25 pints= gallons? pints?
Answers
Answer:
3.125 gallons
Step-by-step explanation:
25 pints could be converted to about roughly 3.125 gallons.
Simplify the ratio 9/12 by dividing both the numerator and denominator by the greatest common factor of 3
A) 1/4
B) 1/2
C) 3/4
D) 4/3
Answers
Answer:
Option C
Step-by-step explanation:
9/3=3
12/3=4
so, the answer is 3/4
Option C
Answer:
Think of it as 9 / 3 = 3
12 / 3 = 4
so it is 3/4. The ratio is equal because 3/3 = 1 so you are dividing by 1
Hope this helps
Step-by-step explanation:
4(2+a)=24 what is the answer
Answers
Given:
4(2 + a)= 24
Use Distributive Property:
8 + 4a = 24
Subtract 8 to both sides:
4a = 16
Divide 4 to both sides:
a = 4
Answer:
A = 4
Step-by-step explanation:
Assuming the question is asking what a is, then all you have to do is follow a few steps to get the right answer.
1) Use the distributive property to simplify the first part of the equation.
4(2+a) distribute the 4 to what is within the parenthesis, so multiply 4 to what is in the parenthesis. P.S: This also gets rid of the parenthesis.
(8 + 4a)
2) Now your equation looks like 8 + 4a = 24. Now, use inverse operations to isolate a. Inverse operations are basically using the opposite signs and processes to get some parts of an equation to another side.
2a. Subtract 8 from both sides of the equation:
8 + 4a - 8 = 24 - 8.
So now you have 4a = 16.
2b. Divide 4 from both sides of the equation.
4a/4 = 16/4
So now you have a = 4.
Final answer:
A = 4
A paper manufacturer is evaluating their packing procedures. Currently, they package twelve reams of paper in a box—in three stacks of four reams. However, their company has been getting complaints from the retail stores that the box is too large and heavy for the average consumer to carry by their self. So, they have decided to reduce the weight of each box by ten pounds. You have been asked to explore the different packing options based on the new weight condition and present your recommendation to the CEO of the paper company. Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish.
Answers
Answer:
3 stacks of 4 reams= 12 reams
Each ream weighs 5 pounds so reducing 10 pounds means removing 2 reams from the 12.
First option is 5+5= 2 stacks of 5/5 reams.
2 stacks of 5 each would be easy to carry. provided the stacks should be placed parallel to each other which would increase the length making it comparatively longer. its easier to hold a (2*8, 11, 2*5 = 17, 11, 17) compact box
Second option is 2+3+3+2 = 4 stacks of 2/3/3/2 reams
Third option is 3+4+3= 3 stacks of 3/4/3 reams
pls help i give brainliest and 5 stars
Answers
Step-by-step explanation:
Explanation:
The formula for volume of a sphere is:
V=43πr3
Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.
Hence, using the given data:
2304π=43πr3
We can cancel π from each side.
2304=43r3
Multiply both sides by 34.
2304×34=34×43r3
2304×34=34×43r3
2304×34=r3
5762304×34=r3
576×3=r3
To find the cube root, we separate the factors of the number on the left.
3⋅3⋅3⋅4⋅4⋅4=r3
(3⋅4)(3⋅4)(3⋅4)=r3
12×12×12=r3
12=r
Since the radius (r) is 12, the diameter, which is 2r, will be:
2×12=24
The coordinate of point B is -6 and the coordinate of point E is 2.
Find the length of segment BE.
Answers
Answer:
4
Step-by-step explanation:
just because i just took it
A. 5pi/6
B. 8pi/6
C. 3pi/6
D. 13pi/6
Answers
Answer:
Step-by-step explanation:
What is the scale factor used to
enlarge an 8" by 10" original
photo to a 16" by 20" image?
A. 2
B. 2.5
C. 0.5
D. 1.6
Answers
Answer:
!!B!!
Step-by-step explanation:
What is the scale factor used to
enlarge an 8" by 10" original
photo to a 16" by 20" image?
A. 2
B. 2.5....is the answer
C. 0.5
D. 1.6
I hope it helps.Answer:
A
Step-by-step explanation:
8x2= 16 10x2=20
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) =
O A. g(x) = (x+4)2 - 3
O B. g(x) = (x - 42 - 3
O C. g(x) = (x – 4)2 + 3
O D. g(x) = (x+4)2 + 3
Answers
Answer:
A
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Given f(x) then the graph of f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here f(x) has been shifted 4 units left and 3 units down, thus
g(x) = (x + 4)² - 3 → A
solve for y please !
Answers
Answer:3
Step-by-step explanation:
Classify the triangle by its angles and by its sides
Right isosceles
Acute scalene
Acute isosceles
Obtuse isosceles
Answers
Answer:
Acute isoceles
Step-by-step explanation:
Two base angles of the triangle are equal making it isosceles
The top angle is less than 90° making it an acute angle
The sum of two consecutive numbers is 89. What are the two numbers? A. 43 and 46 B. 44 and 45 C. 38 and 51 D. 45 and 46
Answers
Answer:
C
Step-by-step explanation:
Its C
write a^4*a^2 without exponents
Answers
Answer:
a x a x a x a x a x a
Step-by-step explanation:
a^4 x a^2
a x a x a x a times a x a
= a^6 or a x a x a x a x a x a
Show and explain why 6 is not a solution to the inequality below.
2x - 9 ≥ 5
Answers
Answer:
x ≥ 7
Step-by-step explanation:
2x -9 ≥ 5
+9
x ≥ 14
14/2
=7
x ≥ 7
Which ordered pair lies on the function f(x) = x^2 + 3?
Question 7 options:
A)
(–1,–4)
B)
(1,–4)
C)
(–1,4)
D)
(–4,–1)
Answers
Answer:
c
Step-by-step explanation:
Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T. Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l? Lines m and n intersect at point Q. A circle is drawn around point Q and forms point S on line m and forms point N on line l. Point P is also on line m. A circle is drawn around point P and forms point T on line m. Use the compass to construct a circle centered at Q through point P. Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P. Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q. Use the compass to construct a circle centered at P through point Q.
Answers
Answer:
The answer is B on Edge
Step-by-step explanation:
Answer:( B)Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Step-by-step explanation:
