Answer:
x=3.5
Step-by-step explanation:
To make DEF similar to XYZ, the sides have to be in the same ratio. EF corresponds to YZ. EF=3, and YZ=4.5. The ratio 3:4.5 can be simplified to 2:3. Side DF corresponds to XZ. DF=7 and XZ=3x. So, the ratio is 7:3x.
To find x, we first find out what 3x is. In this case 3x is 3(7/2)=10.5. So, x=10.5/3=3.5.
20. An airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. The airport and factory are 6.0 miles apart. Their distances from the shopping center are 3.6 miles and 4.8 miles, respectively. A service road will be constructed from the shopping center to the highway that connects the airport and factory. What is the shortest possible length for the service road? Round to the nearest hundredth
Find k given that these three points are collinear.
A(0, -2), B(2, 0), and C(5, k)
Answer:
k = 3.
Step-by-step explanation:
If they are collinear the slope of AB = the slope of BC, so :-
(0- (-2)) / (2 - 0) = (k - 0) / (5 - 2)
2/2 = k/3
1 = k/3
k = 3.
18
A fruit salad was prepared containing 100 g of
acerola cherries, 100 g of kiwifruit, 300 g of
pineapple, and 200 g of strawberries. What is the
total amount of vitamin C, in grams, that is
contained in the listed fruits?
A)0.7g
B)2.069g
C)700g
D)2069g
Look at photo for the question and answer choices... NO LINKS OR BLANK ANSWERS
this is the last needed question for now!
another needed question!:
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The meaurment of the ∠D= 40°, ∠A=140°, ∠B=130.
Given in the image we can see ∠C and ∠ D is an acute angle and the value of ∠C is 50° so ∠D must be 40° according to the image.
The sum of the angle on the same side of trapezoid is equal to 180°. so ∠A+D and ∠C+∠B= 180°. ∠A+40°=180°. after substracting the value ∠A will be 140° and by same method ∠B+50°=180°. we will get ∠B=130°.
Therefore ∠D= 40°, ∠A= 140°, ∠B= 130°.
To learn more about Trapezium
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21400
I got correct on this question but I wrote some of the numbers in a different order, is it okay if I wrote it in a different order on every question similar like this?
Answer:
however it works for you along as you get the right answer
Step-by-step explanation:
Answer:
Yeah you will most likely get the same answer
Step-by-step explanation:
as long as you don't mix up (for this example of course) the service call fee (which is the constant) and the fee for each hour of labor (the coefficient of the variable), you are good
Find the area of this figure
Answer:
45cm
Step-by-step explanation:
3 x 5 x 3 x 1/2
(if im wrong im sorry)
Good art is art that allows you to enter it from a variety of angles and to
emerge with a variety of views."" what is you insights about this quotes?
Answer:
Step-by-step explanation:
My insight on this quote is that a good piece of art can tell various stories. Maybe there are various characters in the art and each on shows different actions and emotions. Or maybe the art is abstract and the emotions that it triggers in a person can tell a story all on its own. In a way these various angles are the different ways that the art makes us feels that allows us to view it in such a way. Yet these views can change if we look at the art in a different perspective.
Find the missing side. round to the nearest tenth.
Answer:
14.6
Step-by-step explanation:
Sin (59) = x/17
17*sin (59) = x
17*0.857=14.57
The value of x in the triangle is x = 14.581
We have,
From the triangle,
using the sin function.
Now,
sin = perpendicular/hypotenuse
So,
sin 59 = x/17
Now,
To solve for x in the equation sin(59°) = x/17, we can use the properties of trigonometric functions and algebraic manipulation.
First, let's isolate x by multiplying both sides of the equation by 17:
17 x sin(59°) = x
Using a calculator to evaluate sin(59°), we find:
17 x 0.857167 = x
Therefore,
The value of x is x = 14.581
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plsssssss help
got 20 mins
the question is: The sin of angle DCB is
Answer:
i. <DCB = [tex]53.13^{o}[/tex]
ii. Sin of <DCB = 0.8
Step-by-step explanation:
Let <DCB be represented by θ, so that;
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Thus from the given diagram, we have;
Sin θ = [tex]\frac{4}{5}[/tex]
= 0.8
This implies that,
θ = [tex]Sin^{-1}[/tex] 0.8
= 53.1301
θ = [tex]53.13^{o}[/tex]
Therefore, <DCB = [tex]53.13^{o}[/tex].
So that,
Sin of <DCB = Sin [tex]53.13^{o}[/tex]
= 0.8
Sin of <DCB = 0.8
10. Use the diagram below to find the value of x.
Answer:
x=20
Step-by-step explanation:
Hello There!
Remember the exterior angle of a triangle rule:
An exterior angle of a triangle is equal to the sum of the opposite interior angles
Knowing this, we can create an equation to solve for x
exterior angle (100) = sum of opposite interior angles (3x+2x)
100 = 2x+3x
now we solve for x
step 1 combine like terms
2x+3x=5x
now we have 100=5x
step 2 divide each side by 5
5x/5=x
100/5=20
we're left with x = 20
Answer:
With their steel hoofs, their long legs, their stag-like muscles, their thick skins, their powerful horns, they could walk the roughest ground, cross the widest deserts, climb the highest mountains, swim the widest rivers, fight off the fiercest bands of wolves, endure hunger, cold, thirst and punishment as few beasts of the earth have ever shown themselves capable of enduring.
240g in the ratio 5:3:2
Answer:
120:72:48
Step-by-step explanation:
Remark
Whatever the answer is (call it x to begin with), the equation starts as
5x + 3x + 2x = 240
What this means is that when you solve for x the results when multiplied by the ratio, should add to 240
Equation
5x + 3x + 2x = 240
Solution
Combine all the terms on the left.
10x = 240 Divide by 10
x = 240/10
x = 24
Check
5*24 = 1203*24 = 722*24 = 48Total = 240sooooooooo
technically i've neevr lost a fight with a tiger
Answer:
oh thats cool
Step-by-step explanation:
Evaluate -14 - 6 - 12 =??
Answer: -32
Step-by-step explanation: -14 - 6 - 12 = -32
1\ solve the system using elimination. 4x+5y=2 -2x+2y=8
MATH
NATION
The data from a survey of ages of people taking an exercise class was skewed to the left.
Part C: The box plot represents the data. Calculate the appropriate measure of spread.
Answer choices:
A. IQR= 45
B. IQR= 13
C. Standard deviation = 8
D. Standard deviation=55
Answer:
IQR=13 im pretty sure
Step-by-step explanation:
The measure interquartile range is 13 option (B) IQR= 13 is correct.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have a box plot, and the data from a survey of ages of people taking an exercise class was skewed to the left.
We know on the left side skewed has more data on the right and on the left side, there are fewer data.
From the dot plot, the end point is not given, so we are assuming the end point is 58.
IQR = 58 - 45 = 13
Thus, the measure interquartile range is 13 option (B) IQR= 13 is correct.
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solve for x. round your answer to the nearest tenth
Answer:
11.9
Step-by-step explanation:
Use sin
Sin ratio is opposite over hypotenuse
Sin [tex]57^{o}[/tex] = [tex]\frac{10.8}{x}[/tex]
x = [tex]\frac{10.8}{sin57^{o} }[/tex]
x = 11.9
please helpppp
also just click the image for it to be bigger
please soon aaaaaaaaaaaaaaaaaaaaaaa
Answer:
3
Step-by-step explanation:
Find the missing length
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
A² + B² = C²
9 • 9 = 81
12 • 12 = 144
81 + 144 = 225
Sqrt
√255 = 15
A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few years. Write an equation representing the relationship, where x is time in years, and y is the number of songs available.
Answer: y = (3^(x-1))*1500
Step-by-step explanation:
We want the relationship
y = f(x)
where y is the number of songs, and x is the number of years.
We know that in the first year, x = 1, the site has 1,500 songs.
The next year, x = 2, the number of songs is tripled, then we will have:
1,500*3 = 4500 songs.
The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.
when x = 4, the number is tripled again:
3*(3^2)*1500 = (3^3)*1500
We already can see the pattern, for the year x, the site will have:
y = (3^(x-1))*1500 songs.
This is the equation we are looking for.
Which rectangular equation represents the parametric equations x =t Superscript one-half and y = 4t? y = 4x2, for x ≥ 0 y = one-fourth x squared, for x greater-than-or-equal-to 0 y = 16x2, for x ≥ 0 y = StartFraction 1 Over 16 EndFraction x squared, for x greater-than-or-equal-to 0
Answer:
Answer is Option A
Step-by-step explanation:
the things people do for points smh :/
The rectangular equation which represents the parametric equations; x = t^(¹/2) and y = 4t is; y = 4x2, for x ≥ 0.
Rectangular Equation from Parametric equationsFrom the task content, it follows that the parametric equations given are;
x = t^(¹/2) and y = 4tHence, it follows that; t = x² and y= 4t
Ultimately, upon substitution of x² for t; the resulting rectangular equation is; y = 4t².
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which expression is not equvialet to 28ax
2(19-7) im pretty sure
Which shape must have opposite sides that are parallel and congruent, and diagonals that are perpendicular bisectors of each other? A.Parallelogram B.Rectangle C.Rhombus D.Trapezoid
Answer:
C. Rhombus.
Step-by-step explanation:
A rhombus is quadrilateral who each pair of opposite side are parallel and congruent and whose each diagonal is perpendicular to the other diagonal, which bisectors it.
In the cases of rectangle, parallelogram and trapezoid, diagonals are not perpendicular to each other. In the case of the trapezoid, only one pair of sides are parallel.
In consequence, right answer is C.
Question 1 (Essay Worth 10 points) (01.02 MC) Part A: If (26)x = 1, what is the value of x? Explain your answer. (5 points) Part B: If (50)x = 1, what are the possible values of x? Explain your answer. (5 points)
Answer:
See Explanation
Step-by-step explanation:
The question is not clear. However, I will treat the question as:
[tex](26)x = 1[/tex]
[tex](50)x = 1[/tex]
and:
[tex](2^6)^x = 1[/tex]
[tex](5^0)^x = 1[/tex]
Solving: [tex](26)x = 1[/tex] and [tex](50)x = 1[/tex]
[tex](26)x = 1[/tex]
Divide both sides by 26
[tex]x = \frac{1}{26}[/tex]
[tex](50)x = 1[/tex]
Divide both sides by 50
[tex]x = \frac{1}{50}[/tex]
Solving [tex](2^6)^x = 1[/tex] and [tex](5^0)^x = 1[/tex]
[tex](2^6)^x = 1[/tex]
Express 1 as 2^0
[tex](2^6)^x = 2^0[/tex]
Remove bracket
[tex]2^{6x} = 2^0[/tex]
Cancel out 2
[tex]6x = 0[/tex]
Divide both sides by 6
[tex]x = \frac{0}{6}[/tex]
[tex]x = 0[/tex]
[tex](5^0)^x = 1[/tex]
Express 1 as 5^0
[tex](5^0)^x = 5^0[/tex]
Cancel out 5^0
[tex]x = 1[/tex]
fill in the blank to make the statement true.
1.( )+4 506-21 000=1 001
2.698-( )+711=1 388
3.109 006-( )-66 666=23 124
some questions I have already answered only that question make me confused
Does anybody know both of these answere
Answer: I do not know
Answer:
A decrease by 14 percent
Step-by-step explanation:
50 - 43 is 7
14 percent of 50 is 7
Kiara made a square baby blanket she decided to add one foot of material to one side then cut 4 inches of material off from the bed to sit outside of area of the rest salting blankets in 960 square inches find the area of the original blanket
Answer:
Step-by-step explanation:
960 which is the area u divide by the one foot which is 144 square units to get your answer,6.66666666667
Daily question: what is 5 to the 3rd power?
Answer:
125
Step-by-step explanation:
5 to the 3rd power means 5³
5³ = 5x5x5
= 125
Which relations represent functions? Choose all that apply.
{(-2, 6), (-5, -1), (3, 7), (-5, 0)}
help me please-
Answer:
its 5,1
Step-by-step explanation:
just took the test
Wrote the slope-intercept form of the equation of each line.