Reason:
The tickmarks tell us that the pair of hypotenuses are congruent.
The shared horizontal sides at the bottom are the pair of congruent legs of the right triangles. Therefore, we can use the hypotenuse leg (HL) theorem. This theorem only works for right triangles.
Distribute and then combine the like terms to simplify each expression.
5(-6 +4q) - 2q
please help
Answer:
-30+18q
Step-by-step explanation:
First, distribute the five to the terms in the parenthesis.
5x-6 and 5x4q
so -30+20q-2q
20q-2q equals 18q
so we are left with -30+18q.
One zero of f(x)=x^3-2x^2-5+6 is 1 what are the other zeros of the function
Answer:
the other zeros of this function are {-2, 3}
Step-by-step explanation:
Use synthetic division to find the roots. The coefficients of this cubic function are 1, -2, -5, 6, and we begin by using 1 as our first divisor:
1 / 1 -2 -5 6
+1 -1 -6
--------------------------
1 -1 -6 0
Because the remainder is zero (0), we can conclude that 1 is indeed a root of the given polynomial. The quotient is 1x^2 - 1x - 6, whose roots can be found either through synthetic division or factoring. In this case the factors are (x - 3) and (x + 2), so the other zeros of this function are {-2, 3}.
Find the values of x and y in parallelogram PQRS.
PT=y, TR=4x+1, QT=2y, TS=5x+8
The values of x and y in parallelogram PQRS are x =2 and y = 9
How to determine the values of x and y in parallelogram PQRSFrom the question, we have the following parameters that can be used in our computation:
The parallelogram
On the parallelogram, we have the following readings
PT=y, TR=4x+1, QT=2y, TS=5x+8
Rewrite them as
PT= y
TR = 4x + 1
QT = 2y
TS = 5x + 8
Because the point T is the midpoint of the parallelogram, we have
PT = TR
QT = TS
Substitute the known values in the above equation, so, we have the following representation
y = 4x + 1
2y = 5x + 8
This means that
8x + 2 = 5x + 8
Evaluate the like terms
3x = 6
So, we have
x = 2
Substitute x = 2 in y = 4x + 1
y = 4 x 2 + 1
So, we have
y = 9
Hence, the values are 2 and 9
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Please help will mark brainliest
Answer:
544
Step-by-step explanation:
You can Section the figure off into 3 and find the area of each. The sum was cut off in the image, but the total is 544 :)
Step-by-step explanation:
First, solve the volume of the solid without the groove:
V1 = (14 cm)(8 cm)(6cm) = 672 cm^3
Now solve for the volume of the groove:
V2 = (8 cm)(8 cm)(2 cm) = 128 cm^3
The volume of the block that Goran made is
V = V1 - V2 = 544 cm^3
if you divide a number by 9 and subtract 22 from the result, the answer is 2. write an equation to find the number.
HELP ME PLEASE
Emily has saved $74 toward a new sound system that costs $149. She plans on saving an additional $15 each week. How many weeks will it take Emily to save enough money to buy the sound system?
Answer: It”ll take Emily five weeks to buy the sound system.
Answer:
5 weeks
Explanation:
Emily has already saved $74 and need to make 149 we know she makes $15 a week 15*5=75
75+74=149
so it would take 5 weeks for Emily to get a sound system.
SOMEONE PWEASE HELP!
Answer:
4
Step-by-step explanation:
Base times height divided by 2 is the area. If the area is 8 you need to know what would make it 8
So
4x4/2=8
Is 3x3 a polynomial?
The degree of x-x3 is 3, or 3. It is a cubic polynomial. The formula for the 33 matrix's distinctive polynomial is f() = det (A - I3).
A polynomial is what?A polynomial is a mathematical statement made up of variables (also known as indeterminates) and coefficients. It can be expressed using just the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation that contains variables, constants, and exponents and is based on the operations of addition, subtraction, multiplication, and division of numbers (No division operation by a variable).
[tex]x - x^3[/tex] has a degree of 3, or 3.
The polynomial is a cubic one.[tex]f() = det (A - I3)[/tex]is the formula for the characteristic polynomial of the 33 matrix.
The characteristic polynomial of the provided 33 matrix is [tex]f() = -3 + 3 + 2.[/tex]
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MARKING BRAINLIEST .. pls
Answer:
0.5
Step-by-step explanation:
total = 12 marbles
6/12 are red
simplify
1/2 are red
convert
0.5 probibility of picking red.
hope this helps :D
Answer:
Your answer is 50%
Step-by-step explanation:
First we have to find the total marbles. 4+2+6 = 12
After we get the total marbles we just have to divide the red marbles by the total marbles. 6/12
That comes out to be 1/2 or .5 or 50%
if x= -1/3, find 12x²-15x+3
Given the following set of numbers, use the measures of central tendency to
identify the type of distribution. Defend your answer.
70 67 75 60 67 65
The measure of the central tendency is 67 as the data in the set are integers.
What is a central tendency?A single number that seeks to characterize a set of data by pinpointing the center position within that set of data is referred to as a measure of central tendency.
As a result, measures of central location are occasionally used to refer to measures of central tendency. They also fit within the category of summary statistics. You are probably most familiar with the mean (sometimes known as the average), but there are additional central tendency measures, including the median and the mode.
Given, A data set 70, 67, 75, 60, 67, 65.
Arranging the data set in ascending order,
60, 65, 67, 67, 70, 75.
Now, The mean of the set is (60 + 65 + 67 + 67 + 70 + 75)/6.
= 67.33.
Mode of the data set 67.
So, The central tendency of the data set is 67 as the data in the set are all integers.
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is the following relation a function explain. (1,3) (1,0), (1,-2) (1,8)
9514 1404 393
Answer:
NO
Step-by-step explanation:
If input values are repeated, the relation is not a function. A function has only one output value for any input value.
Here, an input of 1 has 4 output values—not a function.
What is the number of lines of symmetry? What is the angle of rotation?
y = (x + 1)(x − 1)(x − 3)
Answer:
[tex]\huge\colorbox{violet}{✏﹏ \: ᶛɲƧཡэʀ \: }[/tex]
y = (x + 1) (x - 1) (x - 3)
Use the distributive property to multiply x+1 by x-1 and combine like terms.
y = (x² - 1) (x - 3)
Use the distributive property to multiply x² - 1 by x - 3.
y = x³ - 3x² - x + 3.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Two boats are traveling toward a cliff that is 225 feet above sea level. When the two boats are exactly 200 feet apart, the boat closest to the cliff has an angle of elevation to the top of the cliff of 36 degree, as shown.
Answer:
[tex]x=23.82^o[/tex]
Step-by-step explanation:
[tex]Solve ~for~x, first ~ we~ need ~ to ~know~y[/tex]
[tex]tan~36=\frac{225}{y}[/tex]
[tex]y=\frac{225}{tan ~36}[/tex]
[tex]y=309.6859321[/tex]
[tex]tan(x)=\frac{225}{y+200}[/tex]
[tex]x=tan^{-1}(\frac{225}{309.6858321}[/tex]
[tex]x=23.81898048[/tex]
[tex]x=23.82^o[/tex]
------------------------
hope it helps...
have a great day!!
23.82° is derived as the value of x according to nthe diagram shown.
What is Angle of elevation?
This is referred to the angle from the horizontal upward area to an object.It is measured in degrees.
36 = 225/y
y = 225/tan 36
= 309.686.
tan(x) = 225 / y+200
x = tan -1 (225/309.686)
x = 23.82
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help me plssssss it’s due tonight!!
Answer:
B. 3x+1
Step-by-step explanation:
(3x+3)+(2x+1)+(4x+2)=9x+6
(12x+7)-(9x+6)=3x+1
Lionel purchases 1-pound bags of each of the five seeds and nuts shown in the table. Of the following, which best approximates the average (arithmetic mean) number of calories per bag?
(1 pound = 16 ounces)
A)150
(B)250
C) 1,500
D) 2,500
The best approximate average (arithmetic mean) number of calories per bag is equal to: D) 2,500.
What is an arithmetic average?In Mathematics, an arithmetic average is sometimes referred to as arithmetic mean and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the arithmetic average for the number of calories per bag?Mathematically, the arithmetic average for the number of calories per bag can be calculated by using the following formula:
Arithmetic average = [F(x)]/n
Next, we would determine the total number of calories and then convert to ounces:
Total number of calories, F(x) = 198 + 80 + 159 + 166 + 185
Total number of calories, F(x) = 788 calories.
Note: 1 pound = 16 ounces.
Total number of calories, F(x) = 788 calories × 16 ounces
Total number of calories, F(x) = 12,608 calories.
Now, we can calculate the arithmetic average for the number of calories per bag:
Arithmetic average = [F(x)]/n
Arithmetic average = 12,608/5
Arithmetic average = 2,521.6 ≈ 2,500.
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Jane is building a fence around her garden. For every 4 feet of fencing, the cost is 36 Complete the table below showing the length of the fence and the cost.
The Complete is showing the length of the fence and the cost.
Length of fencing 4 6 7 9 10
Cost: 36 54 63 81 90
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
Length of fencing 4 6 7 x 10
Cost: 36 y z 81 w
Now, Using proportion
4/ 36 = 6/y
4y = 36(6)
y = 54
and, 4/36 = 7/z
4z = 36 (7)
z = 63
and, 4/36 = x /81
x = 9
and, 4/36 = 10/w
360 = 4w
w= 90
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Find the measure of MN
In the given the diagram of a circle, the measure of angle MON is 60°.
What is a circle?A circle is a two-dimensional shape created by a collection of points that are spaced uniformly or uniformly apart from a fixed point (centre) on the plane. The radius of a circle is the fixed distance between each point and the fixed point, which together make up the circle's origin or centre.
All angles add upto 360°
100 + 140 + ∠MOP = 360
∠MOP = 120°
Draw an imaginary straight line extending MO, making MOM'
∠QOM' = 180 - 140
= 40 = ∠MOQ' (vertically opposite)
Draw an imaginary straight line extending NO, making NON'
Draw an imaginary straight line extending PO, making POP'
P'OQ = 180 - 100
= 80 = ∠Q'OP (vertically opposite)
Draw an imaginary straight line extending QO, making QOQ'
P'OM = 60° = M'OP (vertically opposite)
Now, ∠N'OQ = 180 - 60 - 2(40)
= 20°
Then, ∠P'ON' = 80 - 20
= 60
And ∠MON = 40 + 20
= 60°
Hence, In the given the diagram of a circle, the measure of angle MON is 60°.
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What is the measure of angle OAC if major arc AB measures 220 degrees?
55°
70°
110°
140°
I already know the answer is 55 but I need to know why and how to get 55?
Therefore , the solution of the given problem of triangle comes out to be
OAC angle arc is = 55 degrees.
What is triangle?Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.
Here,
Half of the arc AB is the measure of angle OAC, hence the measure of angle OAC is:
OAC = 0.5 times 220 degrees.
110 degrees is OAC.
If the angle OAC is measured as a quarter of an arc AB, then the angle OAC is measured as follows:
OAC equals 0.25 x 220 degrees
OAC = 55 degrees
Therefore , the solution of the given problem of triangle comes out to be
OAC angle arc is = 55 degrees.
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Write the equation for a function g(x) that is the function f(2)= |x| translated right 3 units and translated down 2 units
Bella has a cell phone plan in which she pays of each call minute and text message she sends. The total number of minutes used and text messages sent last month was 561. If call minutes cost 8€ each and text messages cost 5€ each and her pill was $34. 26, how many minutes did she use?
If the total number of minutes used and text messages sent last month was 561 , then the number of minutes she use is 207 minutes .
The total number of minutes used and text messages is = 561 ;
the cost for per minute cost is = 8 cents ;
the cost for per text message is = 5 cents ;
Bella's total bill amount is = $34.26 = 3426 cents
let the number of minutes used be = x minutes ; and
let the number of text messages be = y ;
So ,According to the question ,
the equations representing the situations are ,
[tex]x+y=561[/tex] and [tex]8x+5y=3426[/tex]
Substituting the values of [tex]y=561-x[/tex] in the equation [tex]8x+5y=3426[/tex] ,
we get ;
[tex]8x + 5(561-x)= 3426[/tex]
On solving ,
we get ; x = 207 minutes ;
So , the number of text messages (y) = [tex]561-207[/tex]
= 354 text messages.
Therefore , the number of minutes is = 207 minutes .
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Last Wednesday two friends met up after school to read a book they were both assigned in literature class. Julie can read 3 pages per minute and she has already resd 9 pages. Cassie who has a reading speed of 2 pages per minute, had read 35 pages. Eventually they had read the same number of pages. How many pages had each of them read? How long did it take?
Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
What are linear equations?
A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.
Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.
We can set up the equation:
x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)
x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)
We know that they read the same number of pages, so we can set the two equations equal to each other:
3t + 9 = 2t + 35
We can then solve for t:
t = 26 minutes
So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:
x = 3t + 9 = 3(26) + 9 = 79 pages
Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
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Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
What are linear equations?
A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.
Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.
We can set up the equation:
x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)
x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)
We know that they read the same number of pages, so we can set the two equations equal to each other:
3t + 9 = 2t + 35
We can then solve for t:
t = 26 minutes
So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:
x = 3t + 9 = 3(26) + 9 = 79 pages
Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
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make N the subject of formulaP=N+2/d
Answer:
N = Pd - 2
Step-by-step explanation:
P = N + 2/d
Pd = N + 2
Pd - 2 = N
N = Pd - 2
Parallel, perpendicular or neither
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3gVQKw3
Help!!!!!!!!!!!!!!!!!!!!!!!!!!
Similar
Step-by-step explanation:
The triangles are similar. They just put it upside down.
Answer:
Similar
Step-by-step explanation:
If the mass of an object is 2kg and the applied force is 26N, calculate the acceleration. ___________m/s/s
Answer:
a = (13 m) / (sec^2)
Step-by-step explanation:
Force equation: F = ma
yields a = F/m
Here F = 26 N and m = 2 kg, so
a = (26 N) / (2 kg) = (13 m) / (sec^2)
Find the number of the degree of this polynomial.(please)
Answer:
2 is the highest degree because it's the only exponent
Solve the system by elimination.
3x + 3 = 3y
2x - 6y = 2
Answer:
The Point Form is: (-2,-1)
Equation form is x= -2, y = -1
Step-by-step explanation:
Answer:
(-2, -1)
Step-by-step explanation:
both equation form: Ax + By = C
3x - 3y = -3 - 2×(3x - 3y = -3) = 6x + 6y = 6
2x - 6y = 2 - Terms opposite = 2x - 6y = 2
( Add) - 4x = 8
divide by -4 = x = -2
Put X value in equations 3(-2) + 3 = 3y and solve -
-6 + 3 = 3y
-3 = 3y
-1 = y
Answer= (-2, -1)
Which of the following constructions can be accomplished with paper
folding?
Check all that apply.
A. Constructing a line segment of length 2 and then finding the
midpoint
B. Drawing a perpendicular line segment through a given point on a
given segment
C. Drawing a line through a given point parallel to a given line
D. Drawing a perpendicular line segment from a given point to a
given segment
Answer: Constructions A, B, and D can be accomplished with paper folding.
Construction A involves constructing a line segment of length 2 and then finding the midpoint, which can be done by folding the paper in half.
Construction B involves drawing a perpendicular line segment through a given point on a given segment, which can also be done by folding the paper.
Construction D involves drawing a perpendicular line segment from a given point to a given segment, which can also be done by folding the paper.
Construction C, drawing a line through a given point parallel to a given line, cannot be accomplished with paper folding. To do this construction, you would need a straightedge, such as a ruler.
Step-by-step explanation:
The following constructions can be accomplished with paper folding -
Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment. What is construction in mathematics?Constructions are accurate drawings of shapes, angles and lines in geometry. Some basic constructions -
Constructing bisectors of lines and angles.Constructing regular polygons inscribed in circles.Constructing circumcircles and incircles.Constructing a line tangent to a circle.Given is to find which of the following constructions can be accomplished with paper folding.
The following constructions can be accomplished with paper folding -
Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment.Therefore, the following constructions can be accomplished with paper folding -
Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment.To solve more questions on constructions, visit the link-
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