Answers
The value of the z is 6√6 units. The triangles follow similar triangle property.
What are similar triangles?
Similar triangles are triangles that have the same shape but differ in size. Similar items include all equilateral triangles and squares with any side length. In other words, if two triangles are identical, their corresponding angles and sides are congruent and in equal proportion.
Consider △BDC and △ABC:
∠C = ∠C
∠ABC = ∠BDC = right angle
If two angles of a triangle are equal to two angles of another triangle, then third angle of the triangles also equal.
∠BAC =∠DBC
According to A-A-A rule △BDC and △ABC are similar to each other.
Thus the ratio of corresponding sides is also equal.
Therefore:
AB/BD = BC/DC = AC/ BC
Consider the last two ratios:
BC/DC = AC/ BC
z/12 = z/18
z² = 12 × 18
z² = 6×2×6×3
z = 6√6
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Related Questions
How is it 2/6 but that would equal 4/6?
Answers
Answer: Divide the integer by 9 to equal 3/4
Step-by-step explanation:
I need help !!?!!!?!!!!
Answers
Answer:
y = -2/3x - 6
Slope-Intercept FormSlopeSlope is a measure of steepness of a line. In Algebra 1, It is how much the y-value changes when the x-value increases by 1.
Slope Formula:
Take any 2 points on the line and plug in:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
y-intercepty-intercept is the y-value of the line when it intersects with the y-axis, or the y-value of the line when the x-value of the line is 0.
Formy = mx + b
y and x stay as variables when graphing the equation and are only substituted when solving for values such as the x-intercept.
m is the slope and b is the y-intercept.
Q)First, examine the graph. When does the graph have an x-value of 0 and intersects the y-axis, what is the y-value of the line?
-6
y = mx - 6
Then, lets get 2 points from the graph. You can use any 2 points.
(-6,-2)
(0,-6)
Plug into the formula.
[tex]\frac{-6-(-2)}{0-(-6)}[/tex]
[tex]\frac{-4}{6}[/tex]
[tex]-\frac{2}{3}[/tex]
y = -2/3x - 6
write 5789 in standard form
Answers
Answer:
five thousand seven hundred and eighty-nine
Step-by-step explanation:
olve for x: .1.1 x² +9x+14=0
Answers
Therefore , the solution of the given problem of quadratic equation comes out to be x =-2 and x = -7 .
How to solve a quadratic equation ?A single variable equations regression model is the quadratic equation x = ax2 + bx + c=0. a 0. This polynomial has precisely one solution, as stated by the First Theorem in Algebra, due to its second order. Simple or sophisticated solutions are both possible. An equation with four variables is referred as a quadratic formula. This suggests that there must be at most one squared word in it. "ax2 + bx + c = 0" is a common formula for solving arithmetic problems, where the mathematical factors or constants a, b, and c stand for the unknown variable "X."
Here,
Given : x² + 9x + 14 = 0
=> x² + 7x + 2x + 14 = 0
=> x(x + 7) + 2(x+7)
=> (x+2)(x+7)
=> x =-2 and x = -7
Therefore , the solution of the given problem of quadratic equation comes out to be x =-2 and x = -7 .
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PLEASE HELP ASPPPPPPP
Answers
2.2 is the answer i think thats correct
Distance problem super easy please help
Answers
On the map distance between two cities is 19.2 inches.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
The actual distance between Danton and Crowley is 672 miles.
Here, the scale factor is 1 inch =35 miles
So, on map distance = 672/35
= 19.2 inches
Therefore, on the map distance between two cities is 19.2 inches.
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Please help I will give you brainlies
Answers
Answer:
a) D [y = 6x + 7]
Step-by-step explanation:
First, subtract 6x from both sides to isolate the -y by itself.
6x - y = -7 becomes
-y = -6x -7
Next, to get it into slope-intercept form, we must make the y positive.
To do this, we must multiply both sides of the equation by -1
The equation now becomes:
y = 6x + 7 [Giving us our final answer in y=mx+b form]
-------------------------------------------------------------------------------------------------------------
b) A [6]
The reason the slope is 6 is because in slope-intercept form, the coefficient in front of the x is the slope. That number is 6, as seen above, meaning that the slope is 6.
Hope this helped!
If C varies directly as the square root of d and C = 6 when d = 256. Find C when d = 625
Answers
Value of C = 25 when d = 625
What is square root?Square root is denoted by operator√. It is a factor which can be multiplied. When a square root of a particular number is multiplied by itself, we get the original number. As example, square root of 12 is √12 is multiplied by √12 and we get (√12) ² = 12.
What is the value of C when d = 625?
As per question, C varies directly as the square root of d.
C = 16 when d = 256
C = √d
√d = √256
√d = 16
when d = 625
the value of C will be,
C = √d
C =√625
C = 25
When, d = 625, the value of C =25
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Order these debts based on HIGH RATE METHOD
Please help! Due in 4 hours !
Answers
2,950
10,392
5,000
100,19
4. Kiberly found a box that had 27,955 yellow
paperclips, and a box that had 9,427 blue
paperclips. Which is the best estimate of the
difference of the yellow and blue paperclips?
A. 40,000
B. 19,000
C. 15,000
D. 17,000
Answers
The linear equation best estimate of the difference between the number of yellow and blue paper clips is option(b).
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables.
Number of yellow paper clips found in one box = 27955
Number of blue paper clips found in another box = 9427
We are asked to find the best estimate of the difference in the number of yellow and blue paper clips that Kimberly found.
The actual difference between the number of yellow and blue paper clips = 27955 - 9427 = 18528
An estimate of a number means the closest number that the actual number can be rounded off for simplifying calculations or understanding.
In this case, from the given options the closest number of 18528 is 19000.
Therefore option(b) is the best estimate of the difference between yellow and blue paper clips.
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-5/8x+10for x=-8 what the anwser
Answers
Answer:
5/54
Step-by-step explanation:
Substitute 8 for X, then solve
-5 / 8 (-8) + 10
-5 / -64 + 10
-5 / -54
5/54
find the limit. lim t→0+ cos(t), cos(t), t3 ln(t)
Answers
The limit of lim t→0+ cos(t), cos(t), [tex]t^3[/tex] ln(t) as t approaches 0 from the right is not defined.
The limit of the function lim t→0+ cos(t), cos(t), [tex]t^3[/tex] ln(t) as t approaches 0 from the right is not defined.
The limit of cos(t) and [tex]t^3[/tex] ln(t) is zero as t approaches zero from the right. However, the limit of cos(t) as t approaches zero from the right is not defined. This is because the cosine function oscillates between -1 and 1 as t approaches zero, and therefore it does not approach a specific value. The limit of the entire function is undefined, as one of the components of the function is undefined.
It's important to note that if you have differentiability conditions, you can use L'Hopital's rule to find the limit, but in this case, L'Hopital's rule can't be applied since the function is not differentiable at t = 0.
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In a systematic sample, it was found that the 2nd and 7th samples correspond to the indices 8 and 33 respectively. Find a. the value of K (interval) and the index for the first sample. b. the index for the 10th sample.
Answers
The first sample's index and K (interval) value, which are both equal to 7 - 2 = 5, the 10th sample's index is 25 because 33 - 8 .
what is probability ?Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a comprehensive set of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.
given
Decide on your sample size and multiply your population by your chosen sample size to find your interval, k.
the first sample's index and K (interval) value, which are both equal to 7 - 2 = 5, the 10th sample's index is 25 because 33 - 8
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The different between a number and nine divided by 4 is -7
Answers
A number is -7 less than nine divided by 4, which results in a number of -19.
A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.
Positional notation was separately established by a number of civilizations, including the Aztecs, Chinese, and Babylonians. Indian mathematicians developed a decimal (or base ten) positional system in the seventh century that could express any number using just ten special symbols.
Suppose r is a number.
(r-9)/4 = - 7
r-9 = -28
r = -28+9
r = -19
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HELP ME WITH THIS QUESTION PLEASE
Answers
Answer:
-3y(5y^3 - 4y + 3)
Step-by-step explanation:
-15, 12, -9 have a common factor of -3.
y^4, y^2, y have a common factor of y.
Factor out -3y.
-3y(5y^3 - 4y + 3)
Find the number that makes the ratio equivalent to 16:8
Answers
48 and 24 are the numbers that the ratio equivalent to 16:8. Its simplified form would 2:1 or simply 2.
What is ratio?By dividing two quantities of the same type, we can compare them. This process is known as a ratio. How many times one quantity is equal to the other is revealed by this relationship. The ratio is the number that can be used to represent one quantity as a percentage of another, to put it simply.
A ratio's two numbers can only be compared if they share the same unit. To compare two things, we use ratios. The ratio sign is represented by the letter ":".
To Find the number that makes the ratio equivalent to 16:8
Simply multiply any number with both 16 and 8 i.e.
16 × 3 = 48
8 × 3 = 24
When you simplify them you get 16:8,
Thus, 48 and 24 are the numbers that the ratio equivalent to 16:8.
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The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 0, negative 1 and 5, 14, and g of x passes through negative 6, negative 1 and negative 1, 14. GIVEN
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
THANKS IT IS URGENT!!
Answers
Following answers for transformation of f(x) to g(x) are:-
A. First transformation addition of value k in f(x)
Second transformation subtraction of value k in g(x)
B. Values of k in each transformation are respectively +18 & -18
C. An equation for each type of transformation are respectively, f(x) = 3x-1 & g(x) = 3x+17
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
m = change in y coordinate/change in x coordinate = Δy/Δx
Given points,
f(x) passes through, (0, -5) & (5, 14)
g(x) passes through, (-6, -1) & (-1, 14)
A. By slope formula, we can calculate slope of both the lines
m₁ = 3
m₂ = 3
Slopes are equal, So changing intercepts we can transform f(x) into g(x)
we can do it by two ways,
First transformation addition of value k in f(x)
Second transformation subtraction of value k in g(x)
B. We can see in graph difference between intercepts is 18,
So in, First transformation addition of value +18 in f(x)
Second transformation subtraction of value -18 in g(x)
C. we have given two points for each linear function, So by using two points form of straight line, we can write following equations
1. f(x) = 3x-1
2. g(x) = 3x+17
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A rectangle has a perimeter of 56 centimeters and a height of 12 centimeters. What is the length of the base?
Answers
Step-by-step explanation:
this is a college level question ? elementary school students must be able to solve this.
the perimeter of a rectangle is
2×length + 2×width
as when you walk around a rectangle one full time, you have to walk the long side twice and the short side twice - it has 4 sides, you know.
other words for length : base, ...
other words for width : height, breadth, ...
so, we know
56 = 2×12 + 2×base = 24 + 2×base
now we can make it totally simple right away and divide everything by 2
28 = 12 + base
16 = base
the base (or length) is 16 cm.
Based on the histogram, can you determine exactly how many cars got 20 miles per gallon? Explain.
Answers
Answer:
No -- histograms are generally divided into range groups, as seen in this graph, and we therefore cannot separate the cars who got 20 mpg relative to cars who got, for example, 21 mpg
Answer: 70 cars.
Step-by-step explanation: At 0 - 5 miles per gallon there are 0 cars. At 5 - 10 miles per gallon there are 15 cars. At 10 - 15 miles per gallon there are 20 cars. At 15 - 20 miles per gallon there are 35 cars. So the total cars at 0 - 20 miles per gallon = 0 + 15 + 20 + 35 70 cars.
Lola and two friends have some beads. They each use 57 beads
to make a bracelet. They have 129 beads left over. How many
beads did the friends start with?
Answers
n naming a covalent compound, you can tell how many of each atom are present from the_______ in the name.
Answers
In naming a covalent compound, you can tell how many of each atom are present from the prefix in the name.
The process of identifying binary (two-element) covalent compounds is similar to that of naming simple ionic compounds. The first element in the formula is simply specified using its name. The second element is named by taking the element name's stem and appending the suffix -ide.
The subscript, which is where the x in Ax is located.
This indicates how many atoms of that particular element or group are present in the compound.
In H2O, for example, there are two hydrogen atoms. There are two NO3 ions in Be(NO3)2.
The number of neutral atom bonds equals the number of electrons in the complete valence shell (2 or 8 electrons) minus the number of valence electrons.
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a + b - ____ = a help please
Answers
Answer:
b
Step-by-step explanation:
Answer:b
Step-by-step explanation:
if a was a yellow banana and b a green one, and there was only one banana, (yellow). The green ones gone so its -b
Write a power of ten you would multiply the divisor by to make it a whole number. Then write the equivalent problem. 23.74 divided by 0.06
Answers
Answer:hi the question isnt rlly that clear i could give u an answer if u explain a bit thx !
Step-by-step explanation:
14x + 9y + 6x what is th e short answer
Answers
Just add the no. with the same unknowns
24.275 rounded to the nearest hundreath
Answers
Answer: 24.28
Step-by-step explanation:
24.275 can be rounded to 24.28
Paula paid $6.21 for 3 gallons of gas. How much would she pay for 5 gallons of gas?"* Must show proportion
Answers
The first responder is exactly correct in order to find the answer you must divide the gas cost by the amount of gallons (which in this case is 5 gallons.
$17.50 / 5 = $3.50 per gallon.
What is gallon?A gallon is a customary unit of volume and capacity for liquid measure. It is commonly used in the Imperial systems and US customary standards of measurement. The abbreviation for gallon is gal. The gallon is a unit of volume in imperial units and United States customary units. Three different versions are in current use: the imperial gallon, defined as 4.54609 litres.noun. gal·lon ˈgal-ən. : a United States unit of liquid capacity equal to four quarts or 231 cubic inches or 3.785 liters. : a British unit of liquid and dry capacity equal to four quarts or 277.42 cubic inches or 4.544 liters.
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you can't solve this...
A homeowner is financing the cost of new windows. Two lenders have approved the homeowner for a $12,000 loan. The terms of each loan are:
Offer 1: 4.5% annual simple interest, with a total account balance of $14,430 after a 54-month term
Offer 2: 3.75% annual interest compounded monthly for a 66-month term
Assuming no payments are made, what is the difference in the account balances at the end of the loan terms. Round your answer to the nearest penny.
$204.88
$313.98
$767.12
$795.34
Answers
Answer:
$313.98
Step-by-step explanation:
[tex]Equation: A=P(1+\frac{r}{n} )^{nt} \\\\A=12000(1+\frac{0.0375}{12} )^{12(5.5)} \\\\A=12000(1+0.003125)^{66} \\\\A=12000(1.003125)^{66}\\\\A=12000(1.228665)\\\\A=14743.98\\[/tex]
So to see the difference of account balances we would subtract offer 1 balance from offer 2 balance.
14743.98-14430 = 313.98
So, therefore the difference in the account balances at the end of the loan terms is $313.98.
Note: the 5.5 comes from converting 66 months to years which is 5.5
A triangle on a coordinate plane have the following ordered pairs: (2, -3), (2, -6), and (4, -3). If we were to dilate the triangle by a factor of 2, what would be the new coordinates of the triangle?
Answers
The new coordinates of the triangle after the dilation by a factor of 2 would be (4,-6), (4, -12), (8,-6)
What is Dilation?
Dilation is a process for creating similar figures by changing the size.
A dilation by a factor of 2 means that each coordinate value will be multiplied by 2.
So the new coordinates of the point (2, -3) would be (2 x 2, -3 x 2) = (4, -6)
The new coordinates of the point (2, -6) would be (2 x 2, -6 x 2) = (4, -12)
The new coordinates of the point (4, -3) would be (4 x 2, -3 x 2) = (8, -6)
Thus, the new coordinates of the triangle would be (4,-6), (4, -12), (8,-6).
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Evaluate the expression when x=-5. X^2+6x+7
Answers
Answer:
2
Step-by-step explanation:
x^2+6x+7
(-5)^2+6(-5)+7
(-5)(-5)-30+7
25-30+7
-5+7
2
Which inequality is shown in this graph?
Answers
On solving the provided question, we can say that coordinates are (-2,2) and (0,-2), inequality equation will be => y[tex]\leq[/tex] -2x + 2
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
as here,
coordinates are (-2,2) and (0,-2)
inequality equation will be
y[tex]\leq[/tex] -2x + 2
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