The sides that are congruent in the quadrilateral are AB * BC and CD & DA
How to determine the sides (if any) that are congruent?From the question, we have the following parameters that can be used in our computation:
A = (-1, 9)
B = (14, 10)
C = (13, -5
D = (-3, -7)
The lengths of the sides can be calculated using the following distance formula
Length = √[Change in x² + Change in y²]
Using the above as a guide, we have the following:
AB = √[(-1 - 14)² + (9 - 10)²] = √226
BC = √[(14 - 13)² + (10 + 5)²] = √226
CD = √[(13 + 3)² + (-5 + 7)²] = √260
DA = √[(-3 + 1)² + (-7 - 9)²] = √260
Hence, the sides that are congruent are AB * BC and CD & DA
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2(h + 3.5) = -11 whats h?
Answer: H=-9
Step-by-step explanation:
(2)(h)+(2)(3.5)=−11
=2h+7=−11
=2h+7−7=−11−7
=2h=−18
h=-18/2
h=-9
Answer:
-9 is the answer hope it helps :)
The chord joining the vertices of an ellipse is called the ______ ______, and its midpoint is the ______ of the ellipse.
The chord joining the vertices of an ellipse is called the major axis, and its midpoint is the center of the ellipse.
The major axis of an ellipse is the chord that passes through the two vertices of the ellipse. It is the longest chord and its length is equal to twice the length of the semi-major axis of the ellipse. The midpoint of the major axis is the point that divides the major axis into two equal segments, and it coincides with the center of the ellipse. The center of the ellipse is the point of intersection of the major and minor axes, and it is equidistant from all points on the ellipse.
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A cube has a volume of (0.75xy)3 cubic centimeters.
What is the volume of the cube expressed as a fraction?
The volume of the cube expressed as a fraction will be 27x³y³ / 64.
Given that:
Volume, V = (0.75xy)³
It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.
The volume of the cube expressed as a fraction is calculated as,
V = (0.75xy)³
V = (3xy/4)³
V = 27x³y³ / 64
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You have bought a car for $22,000. It depreciates in value by 3% every month. What will the car be worth after 2 years?
Answer:
$9,011.20
Step-by-step explanation:
I may have messed up with the calculation but I believe the answer is $9,011.20.
Answer:
15,840
Step-by-step explanation:
3 x 24 months = 72
72% of 22,000 = 15,840
:)
jake travels 6 hours for a total of 444 miles on 20 gallons of gas, rate for gallons and hours.
Answer: 5 gallons per hour.
Step-by-step explanation: To find the unit rate, divide "gallons" by "hours." As we said, we need to find the unit rate. We want a unit rate where 1 is in denominator, so we divide the top and bottom by 6. (Remember, unit means 1.)
\(\frac{30/6}{6/6}=\frac{5}{1}\)
Therefore, our answer is 5.
Brainliest question please help me now plz
Answer:
5/12
Step-by-step explanation:
The tangent of an angle is the opposite side divided by the adjacent side, and in this case that would be 5 / 12. Hope this helps!
Answer:
\( \frac{5}{12} \)
Step-by-step explanation:
\( \because \tan (\beta) = \frac{AC}{BC} \\\\
\huge\purple {\boxed {\therefore \tan (\beta) = \frac{5}{12}}} \)
Solve the following logarithmic equation. \[ \log (16-x)=0.5 \] Select the correct choice below and, if necessary, fill in the a A. The solution set is (Type an exact answer.) B. The solution set is t
The solution set is\(`x = 16 - \sqrt{10} `\)
Given a logarithmic equation:
\(`log (16-x) = 0.5`.\)
We can write this equation in exponential form as follows:
\(`16 - x = 10^(0.5)`\).
We can solve for `x` as follows:
`16 - x = √10``16 - √10 = x`
Therefore, the solution set is `x = 16 - √10`.
Hence, the correct answer is:A.
The solution set is `x = 16 - √10`.
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Each entry in a multiplication table, as shown in the 2 -by-2 table at the right, is the product of the factor shown at the left and the factor shown at the top.
ROT = r_90⁰, r_180⁰, r_270⁰, r_360⁰ REF = R_x , R_y , R_y=x, R_y=-x
be the sets of rotations and reflections, respectively, as described in Lesson 12-5. Build each 4-by-4 multiplication table.
a.
b.
c.
d.
Four 4-by-4 multiplication tables are to be built using the sets of rotations (ROT) and reflections (REF). The tables will show the products of the factors in each set.
To build each 4-by-4 multiplication table, we need to consider the operations of rotation and reflection.
In part (a), the ROT table, we will rotate each factor in the set of rotations (r_90⁰, r_180⁰, r_270⁰, r_360⁰) and multiply them together to obtain the products.
In part (b), the REF table, we will reflect each factor in the set of reflections (R_x, R_y, R_y=x, R_y=-x) and multiply them together to find the products.
In part (c), the combined table, we will consider the products obtained by rotating the factors in the ROT table and reflecting the factors in the REF table.
In part (d), the inverse table, we will find the inverses of each factor in the sets of rotations and reflections and multiply them together to obtain the products.
By completing these steps for each set, we will have built four 4-by-4 multiplication tables showcasing the products of the factors in the respective sets of rotations and reflections.
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A toy company is building dollhouse furniture. A rectangle door of a dollhouse has a height of 7 centimeters and a width of 3 centimeters. What is the perimeter of the door of a scale drawing that uses a scale factor of 3. 5?
If a rectangle door of a dollhouse has a height of 7 centimeters and a width of 3 centimeters, the perimeter of the door in the scale drawing is 70 centimeters.
To find the perimeter of the door in the scale drawing, we first need to determine the dimensions of the door in the scale drawing. To do this, we need to multiply the actual dimensions of the door by the scale factor of 3.5.
The height of the door in the scale drawing would be 7 cm x 3.5 = 24.5 cm, and the width would be 3 cm x 3.5 = 10.5 cm.
The perimeter of the door in the scale drawing can be calculated by adding up the lengths of all four sides. The two vertical sides have a length of 24.5 cm, and the two horizontal sides have a length of 10.5 cm. Therefore, the perimeter of the door in the scale drawing is:
P = 2(24.5 cm) + 2(10.5 cm) = 49 cm + 21 cm = 70 cm
Note that the scale drawing is a proportional representation of the actual door, where all corresponding dimensions are multiplied by the same factor of 3.5.
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Find the missing side of the triangle
ΔABC - ΔΑUT
2
>B
54
14
9
126
84
8
What is the missing side?
Answer:
2
Step-by-step explanation:
2
HABER SEÑORES NECESITO SABER ESTO QUE SIGNIFICA????? \(x^{2} \sqrt{x} \leq \alpha \pi \sqrt[n]{x}\)
The equation \(x^{2} \sqrt{x} \leq \alpha \pi \sqrt[n]{x}\) is a mathematical inequality that relates the values of x, alpha, pi, and n.
The equation is an inequality because it uses the less than or equal to symbol (≤). This means that there is a range of possible values for x that will satisfy the inequality.
Breaking down the terms in the inequality:
- x² is x raised to the power of 2.
- √x is the square root of x.
- α is a variable that represents a constant value.
- π (pi) is a mathematical constant that represents the ratio of a circle's circumference to its diameter.
- √[n]x is the nth root of x.
So, the inequality is saying that the product of x² and the square root of x must be less than or equal to the product of alpha, pi, and the nth root of x. This is true for some values of x, alpha, pi, and n, but not necessarily for all possible values.
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Solve the system by substitution.
x=-9y
-2x-7y=44
x = -20/7,u= -75/7
Step-by-step explanation:
Can someone Please answer some of these questions Please ASAP Thank you:)) (20 points)
Answer:
for #1 it's 1, 4, 5, 6
for #2 it's both lines have the same slope
for #3 it's both lines have a different y-intercept
Step-by-step explanation:
#1 explanation: all of them have the y-intercept of -8
ex. y = 3x (- 8) y = 5x (-8) y = 2x (-8) y = (1/3)x (-8)
#2 explanation: both have a slope of (1/4)
#3 explanation: y = (1/4)x there is not y-intercept that we know of and y = (1/4)x - 5 the y-intercept is at -5 therefore the y-intercepts are different
What is the z-score of x = 30, if x is two standard deviations to the right of the mean?
Answer:
2
Step-by-step explanation:
You want to know the z-score of an x-value that is two standard deviations to the right of the mean.
Z-scoreThe z-score is the number of standard deviations a value is to the right of the mean.
If x=30 is 2 standard deviations to the right of the mean, the z-score is 2.
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A farmer sells 6.8 kilograms of pears and apples at the farmer's market.
3/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Write answer as a fraction and decimal!
PLZ HELP!!!
if im not mistaken it is 6.05 because if 3/4 (0.75) is the weight of pears, you subtract that by the total weight and the remanding is your weightof apples
A student is constructing a triangle with the following
dimensions:
side length of 10 inches
side length of 30 inches Which measurements could be the length of the third
side? Select all that apply.
19 inches
0 21 inches
0 35 inches
45 inches
50 inches
Answer:
21,35
Step-by-step explanation:
Can someone help me please
Answer:
congruent angles : are all corresponding angles, exterior and interior alternative angles
congruent to ABE :angles GBC, BCF,HCD
angles FCD and HCD are supplementary angles=180
FCD+HCD=180
The material for constructing the base of an open box costs 1.5 times as much as the material for constructing the sides. Find the dimensions of the box of largest volume that can be made for a fixed amount of money C.
HELP PLZZZZZZ!!!!!!!!!!
Answer:
<1 = <3 = 141
<4 = <2 = 39
Step-by-step explanation:
Angle 2 and angle 4 are vertical angles and vertical angles are equal
<4 = <2 = 39
<4 + <1 = 180 since they form a straight line
39+ <1 = 180
<1 = 141
<1 and <3 are vertical angles so they measure the same
<1 = <3 = 141
Answer:
this is answer
you are welcome
Janet has. completed 60% of her eliptical work out. if her entire workout last 1 hr , how many more minutes does she still need to work out?
1 hour = 60 minutes.
60 minutes x 60% = 36 minutes completed.
60 minutes -36 minutes = 24 minutes left
answer: 24 minutes
Answer:
24 min
Step-by-step explanation:
If shecompleted 60% she stil has 40 % of the hour-long (60 minute) workout to go
.40 ( 60 min) = 24 min
y = 3 - 2x i need to find out if the equation is linear and why. i’m very confused
Answer:
It is Linear
Step-by-step explanation:
We know the regular Linear equation is y = mx + b. In this case, the mx and the b switched places, but the equation still works the same way. y = -2x + 3
Answer:
yes
Step-by-step explanation:
Linear equations look like this
y=mx+b
where m is the slope
and b is the y intercept
if we switch -2x and the 3 we have the following
y= -2x+3
which looks like our y=mx+b
help ASAP will give points
Answer:
5/6
Step-by-step explanation:
1/2 = 3/6 because 1/2 x 3 = 3/6. 2/3 = 4/6 because 2/3 x 2 = 4/6. 3/6 plus 4/6 equals 7/6 or 1 and 1/6. 2 - 1 1/6 = 5/6.
This graph suggests that the greater the rainfall in June through August, the fewer acres are burned by wildfires. Which factor in the graph supports this idea?
The factor in the graph that supports the idea that the greater the rainfall in June through August, the fewer acres are burned by wildfires is the negative correlation between rainfall and acres burned.
The graph shows a negative correlation between the amount of rainfall in June through August and the number of acres burned by wildfires. As the amount of rainfall increases, the number of acres burned decreases. This suggests that wetter weather can help reduce the risk of wildfires.
The graph provides a visual representation of the relationship between rainfall and wildfires. It shows that there is a clear negative correlation between the two variables. This means that as one variable increases, the other decreases. In this case, the variable of interest is the number of acres burned by wildfires. The graph shows that when there is less rainfall in June through August, more acres are burned by wildfires. Conversely, when there is more rainfall during these months, fewer acres are burned. This makes sense because rainfall can help reduce the risk of wildfires by making vegetation less dry and therefore less susceptible to catching fire. Additionally, wetter weather can help firefighters contain and extinguish fires more quickly and effectively.
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Which algebraic expression would be used to denote a trisomic organism? a. 1n b. 3n c. 2n - 1 d. 2n + 1 e. 2n + 2.
The correct answer to the given question is d. 2n+1. The other options, such as 1n, 3n, 2n-1, and 2n+2, do not accurately represent the chromosome number of a trisomic organism.
A trisomic organism is one that has an extra copy of a chromosome in its genome. This means that it has three copies of a particular chromosome instead of the usual two, which can have significant implications for the organism's development and health.
In terms of algebraic notation, the chromosome number of a trisomic organism would be denoted as 2n+1, where "n" represents the normal diploid number of chromosomes for that organism. The "2n" represents the normal two sets of chromosomes, and the "+1" represents the extra chromosome.
Therefore, the correct answer to the given question is d. 2n+1. The other options, such as 1n, 3n, 2n-1, and 2n+2, do not accurately represent the chromosome number of a trisomic organism. It is important to note that trisomies can occur for any chromosome, not just the sex chromosomes, and can have varying effects depending on which chromosome is affected.
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given: δabc is a right triangle. prove: a2 + b2 = c2
In a right triangle, the Pythagorean theorem states that the square of the length of the side opposite the right angle (side AB) plus the square of the length of the side adjacent to the right angle (side BC) is equal to the square of the length of the hypotenuse (side AC).
In a right triangle, one of the angles is a right angle, which measures 90 degrees. Let's label the sides of the triangle as follows: AB is the side opposite to the right angle, BC is the side adjacent to the right angle, and AC is the hypotenuse, which is the side opposite to the remaining acute angle.
According to the Pythagorean theorem, in any right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse. Mathematically, it can be expressed as:
A\(B^{2}\) + B\(C^{2}\) = A\(C^{2}\)
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3 consecutive even numbers add to make 72.
What are the 3 numbers?
Show your working
Here it is . Sorry for bad handwriting
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
Answer:
FHG is 45 degrees
Step-by-step explanation:
For a square, each of the angles at the corners measure 90 degrees
Also, the two diagonals are equal and they bisect one another
Also, the diagonals bisect each of the angles at the corners making each angle lying in each triangle to be 45 degrees, thereby creating 4 isosceles right triangles
For FHG, looking at the triangle FHG, FG and GH are equal lengths as we have an isosceles right triangle
An isosceles right triangle is only possible when the two internal angles asides the right triangle are 45 degrees each
What this mean is that FHG measure is 45 degrees
Given a line and a point not on the line construct a parallel line through point c
Answer:
The first line m1 should be = the second line m2 passing through point C.
so in short m1=m2...
In the figure below, the segments ST and SU are tangent to the circle centered at O. Given that OT=8 and OS=17, find SU.
The measure of length of SU is 18.7
Since a tangent to a circle makes a 90º angle to the origin, we can trace radius, and state that this is 13 units long. Therefore we have here two congruent triangles.
Given that OT=8 and OS=17,
We need to find SU.
To write a property that relates a tangent and a secant from one point
So, ST = SU
SU^2 = GF^2 + OG^2
SU^2 = 8^2 + 17^2
SU^2 = 289+ 64
SU^2 = 353
SU= 18.7
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HURRY PLEASE!!!
You want to fill half of the green cylinder with MONEY!
How many cubic centimeters of MONEY will half of this cylinder hold?
1.1 meters = 110 cm
Don't put the comma in your answer.
The Cylinder can hold 138, 160 cm³.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume.
Given:
Height= 1.1 m = 110 cm
Radius= 20 cm
Now, Volume of Cylinder
= πr²h
= 3.14 x 20 x 20 x 110
= 3.14 x 44000
= 138, 160 cm³
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