Answers
Step-by-step explanation:
similar triangles mean that all angles are the same, and the side lengths of one triangle correlate to the corresponding sides of the other triangle by the same factor.
that means that the sides 2 (ED) and x (CB) have the same relation as the 6+4 (AD) and the 6 (AB) sides.
so,
x/2 = 6/(6+4) = 6/10 = 3/5
x = 2 × 3/5 = 6/5 = 1.2
Related Questions
Find the equation of a line parallel to y = x + 8 that passes through the point
(-3,3).
Answers
Answer:
y=x + 6
Step-by-step explanation:
G1=G2
so G2 =1
y-3 /x+3 =1/1
y-3 = x +3
y=x + 6
Lin is playing hand ball and wants the ball
to bounce off wall CB and land at D.
Where on the wall should she aim if she's
standing at point A?
Answers
Lin should aim the ball at 7.8 feet away from point B
From the question (see attachment), we have the following equivalent ratios:
[tex]AB : BE = DC :CE[/tex]
This is so because triangles ABE and DCE are similar triangles.
Such that:
[tex]BE + CE = 20[/tex]
[tex]AB = 16[/tex]
[tex]DC = 16 + 9 = 25[/tex]
So, we have:
[tex]AB : BE = DC :CE[/tex]
[tex]16 : BE = 25: CE[/tex]
Make CE the subject in [tex]BE + CE = 20[/tex]
[tex]CE=20 - BE[/tex]
Substitute 20 - BE for CE in [tex]16 : BE = 25: CE[/tex]
[tex]16 : BE = 25: 20 - BE[/tex]
Express as ratio
[tex]\frac{16 }{ BE} = \frac{25}{ 20 - BE}[/tex]
Cross multiply
[tex]16(20 - BE) = 25BE[/tex]
Open bracket
[tex]320 - 16BE = 25BE[/tex]
Collect like terms
[tex]25BE + 16BE = 320[/tex]
[tex]41BE = 320[/tex]
Divide both sides by 41
[tex]BE = 7.8[/tex]
Hence, she should aim at 7.8 feet away from point B
Read more about similar triangles at:
https://brainly.com/question/14285697
Answer:You want to make a bank shot. Sketch the path of the cue ball so it will bounce off of the bottom side and knock the yellow stripe 9 ball into the top middle pocket.
Step-by-step explanation:
If 2 of the triangle sides are 8 m and one side is 6 m what kind of triangle is it
Answers
Answer:
An isosceles triangle has two side lengths the same and one different.
Step-by-step explanation:
The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle. The face of a clock is divided into 12 equal parts. Which statements about the clock are accurate? Select three options. The central angle formed when one hand points at 1 and the other hand points at 3 is 30°. The circumference of the clock is approximately 62. 8 inches. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°. The length of the major arc between 3 and 10 is approximately 31. 4 inches. The length of the minor arc between 6 and 7 is approximately 5. 2 inches.
Answers
The accurate statements are:
b. The circumference of the clock is approximately 62.8 inches. c. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°. e. The length of the minor arc between 6 and 7 is approximately 5.2 inches.
The given parameters are:
[tex]n = 12[/tex] --- number of parts
[tex]r = 10[/tex] --- the radius
(a) The central angle
Between points 1 and 3, there are 2 sections, each of which has a measure of 30 degrees.
So, the measure of the two sections is:
[tex]\theta = 30^o \times 2[/tex]
[tex]\theta = 60^o[/tex]
Hence, (a) is false
(b) The circumference
This is calculated using:
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2 \times 3.14\times 10[/tex]
[tex]C = 62.8[/tex]
Hence, (b) is true
(c) The measure of the minor arc
Between points 12 and 4, there are 4 sections, each of which has a measure of 30 degrees.
So, the measure of the four sections is:
[tex]\theta = 30^o \times 4[/tex]
[tex]\theta = 120^o[/tex]
Hence, (c) is true
(d) The length of the major arc
Between points 3 and 10, there are 7 sections, each of which has a measure of 30 degrees.
So, the measure of the seven sections is:
[tex]\theta = 30^o \times 7[/tex]
[tex]\theta = 210^o[/tex]
The length of the arc is:
[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]
So, we have:
[tex]L = \frac{210}{360} \times 2 \times 3.14 \times 10[/tex]
[tex]L = \frac{13188}{360}[/tex]
[tex]L = 36.3[/tex]
Hence, (d) is false
(e) The length of the minor arc
There is only one section between points 6 and 7
So, the measure of the section is:
[tex]\theta = 30^o[/tex]
The length of the arc is:
[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]
So, we have:
[tex]L = \frac{30}{360} \times 2 \times 3.14 \times 10[/tex]
[tex]L = \frac{1884}{360}[/tex]
[tex]L = 5.2[/tex]
Hence, (e) is true
Read more about segments and arcs at:
https://brainly.com/question/14965059
Answer:
-B
-C
-E
Step-by-step explanation:
just took the test...
I got them right
will mark brainleist
Answers
Answer:
Figure a) 2
Figure B) 4
Figure c) 5
Step-by-step explanation:
Answer: A: has 1 line B has 2 and 3 has 5
Step-by-step explanation:
3+2+6= what pls ls help
Answers
ANSWER:11
Just add each one
If the points (2,7),(-3,3) and (5,1) are the vertices of a triangle ,find the length of the median drawn through the first vertex.
Answers
Answer:
[tex]\sqrt{26}[/tex] unitsStep-by-step explanation:
The median is the line segment connecting the vertex with the midpoint of the opposite side.
The midpoint has coordinates:
x = (-3 + 5)/2 = 2/2 = 1y = (3 + 1)/2 = 4/2 = 2Use the distance formula to find the distance between points (2, 7) and (1, 2):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]d=\sqrt{(1- 2)^2+(2-7)^2} =\sqrt{1+25} =\sqrt{26}[/tex]Step-by-step explanation:
the formula for the length of a median based on the 3 side lengths is
m = sqrt(2AB² + 2AC² - BC²)/2
where BC is the side opposite of the indicated vertex.
let's say
A = (2, 7)
B = (-3, 3)
C = (5, 1)
AB² = (2 - -3)² + (7 - 3)² = 5² + 4² = 25 + 16 = 41
AC² = (2 - 5)² + (7 - 1)² = (-3)² + 6² = 9 + 36 = 45
BC² = (-3 - 5)² + (3 - 1)² = (-8)² + 2² = 64 + 4 = 68
m = sqrt(2×41 + 2×45 - 68)/2 = sqrt(82+90-68)/2 =
= sqrt(104)/2 = sqrt(104/4) = sqrt(26) =
= 5.099019514...
Y - 7 =- 4(x - 2)
convert it into y-intercept form
Answers
Answer: the y intercept form is y= 4x-1
Step-by-step explanation: let me know if you need to know how I got it
yeah I didn't pay attention today
Answers
Explanation: multiply 449 by .30 and then subtract your solution of that to 449 and you will have your new sum
please help asap will give brainliest
Answers
Answer:
Step-by-step explanation:
11) y = -1x - 2
12) y = -(3/2)x + 3
13) y = 3x - 2
14) y = (3/4)x + 1
15) y = (1/2)x + 1
16) y = -(2/5)x
17) y = 7x + 2
18) y = (4/3)x - 4
Attached graph for 19 and 20
Evaluate and simplify without a calculator:
−35+23
Pleasee helpp
Answers
Answer:
The answer would be -12, I'm not to sure what simplify means
-35 + 23 = -12
Given that
f
(
x
)
=
4
x
−
2
and
g
(
x
)
=
2
x
, evaluate
g
(
f
(
5
)
)
Answers
Answer:
36
Step-by-step explanation:
evaluate f*ds where f = <3xy^2,3x^2y,z^3> and m is the surface of the sphere of radius 5 centered at the origin
Answers
The value of f.ds = 20π.
What is Flux?The quantity of electric or magnetic field lines that flow across a surface in a specific period of time is known as flux. Field lines offer a way to visualise the size and direction of the field under study.
Given:
f = <3xy²,3x²y,z³>
Using Divergence Theorem
P= 3xy²
Q= 3x²y
R = z³
So, dP/ dx= 3y²
dQ/ dy = 3x²
dQ/ dz = 3z²
So, [tex]\int\limits\int\limits\int\limits dV[/tex]= [tex]\int\limits\int\limits\int\limits (dP/ dx + dQ/dy+ dR/dz)[/tex]
= [tex]\int\limits\int\limits\int\limits[/tex] (3y² + 3x² + 3z²)
= [tex]\int\limits\int\limits\int\limits[/tex] 3 (y² + x² + z²)
Since the radius is 5.
= [tex]\int\limits\int\limits\int\limits[/tex] 3(5)
= 15 [tex]\int\limits\int\limits\int\limits[/tex] dV
= 15 (4/3)π
= 20π
Learn more about flux here:
https://brainly.com/question/14527109
#SPJ5
this is for 8th grade pls answer .
Answers
Step-by-step explanation:
We have that
[tex](x + \frac{1}{x} ) {}^{2} = 3[/tex]
We are trying to find the number value so that we can apply in the later equation.
Qe first simplify.
Remeber that
[tex](a + b) {}^{2} = a {}^{2} + 2ab + {b}^{2} [/tex]
Also remeber that
[tex] \frac{1}{x} = {x}^{ - 1} [/tex]
so
[tex](x + x {}^{ - 1} ) {}^{2} = {x}^{2} + 2x {}^{0} + {x}^{ - 2} = 3[/tex]
We then simply remeber that x^0=1 so
[tex] {x}^{2} + 2 + \frac{1}{ {x}^{2} } = 3[/tex]
Multiply both sides by x^2.
[tex] {x}^{4} + 2 {x}^{2} + 1 = 3 {x}^{2} [/tex]
Subtract both sides by 3x^2
[tex] {x}^{4} - {x}^{2} + 1 = 0[/tex]
Notice that x^4= (x^2)^2.
So our reformed equation is
[tex]( {x}^{2} ) {}^{2} - {x}^{2} + 1 = 0[/tex]
Let a variable , w equal x^2. This means that we subsitute variable, w in for x^2.
[tex]w {}^{2} - w + 1 = 0[/tex]
Now we use the quadratic formula
[tex] w = \frac{ - b + \sqrt{b {}^{2} - 4ac } }{2a} [/tex]
and
[tex]w = - b - \frac { \sqrt{b {}^{2} - 4ac } }{2a} [/tex]
Let a=1 b=-1 and c=1.
[tex]w = \frac{1 + \sqrt{1 - 4(1)} }{2} [/tex]
[tex]w = \frac{1 - \sqrt{1 - 4} }{2} [/tex]
Now, we get
[tex]w = \frac{1}{2} + \frac{i \sqrt{3} }{2} [/tex]
and
[tex]w = \frac{1}{2} - \frac{ i\sqrt{3} }{2} [/tex]
Now since we set both of these to the x^2 we solve for x.
and
[tex] {x}^{2} = \frac{1}{2} + \frac{i \sqrt{3} }{2} [/tex]
and
[tex] {x}^{2} = \frac{1}{2} - \frac{i \sqrt{3} }{2} [/tex]
We can represent both of these as complex number in the form of a+bi. Next we can convert this into trig form which is
[tex] {x}^{2} = 1( \cos(60) + i \: \sin(60) [/tex]
and
[tex] {x}^{2} = 1( \cos(300) + i \: sin(300))[/tex]
Next we take the sqr root of 1 which is 1, and divide the degree by two.
[tex] {x} = 1( \cos(30) + i \: sin \: 30)[/tex]
and
[tex]x = 1( \cos(150) + i \: sin(150)[/tex]
We are asked for the 2nd root so just add 180 degrees to this and we have
[tex]x = 1 \cos(210) + i \: sin \: 210)[/tex]
and
[tex]x = 1( \cos(330) + i \: sin(330)[/tex]
which both simplified to
[tex]x = - \frac{ \sqrt{3} }{2} - \frac{1}{2} i[/tex]
and
[tex]x = \frac{ \sqrt{3} }{2} - \frac{1}{2} i[/tex]
Now we must find
x^18+x^12+x^6+1.
We just use demovire Theorem. Which is a complex number raised to the nth root is
[tex] {r}^{n} (cos(nx) + i \: sin(nx)[/tex]
So let plug in our first root.
[tex]1( \cos(330 \times 18)) + i \: sin \: (330 \times 18))) + 1( \cos(12 \times 330)) + i \: sin(12 \times 330) + 1( \cos(6 \times 330) + i \: sin(6 \times 330))) + 1[/tex]
To save time we multiply the angle and use rules of terminals angle and we get
[tex]1( \cos(180) + i \sin(180) ) + 1( \cos(0) + i \: sin \:( 0) + 1( \cos(180) + i \: sin(180) + 1[/tex]
And we get
[tex] - 1 + 1 + - 1 + 1 = 0[/tex]
So one of the answer is x=0
And the other, let see
[tex]1 \cos(210 \times 18) + i \: \sin(210 \times 18) + 1 \: cos(210 \times 12) + i \: sin(210 \times 12) + 1 \cos(210 \times 6) + \:i sin(210 \times 6) + 1[/tex]
[tex] \cos(180) + i \: sin(180) + 1 \cos(0) + i\sin(0) +1( \cos(0) + i \sin(0) + 1[/tex]
We get
[tex] - 1 + 1 + 1 + 1 = 2[/tex]
So our answer are 2.
So the answer to the second part is
0 and 2.
The temperature in Minnesota is 78 degrees at noon.
The temperature is 88 degrees by 4 pm. What is the
rate of change of the temperature from noon till 4?
Answers
If 60% of a KNOWN NUMBER is 180, what is the 40% of that UNKNOWN NUMBER?
Answers
Step-by-step explanation:
I think you mean you want to find out 40% of a number,, when 60% of it is 180, so I'll answer that:
60% = 180
÷6
10% = 30
x4
40% = 120
(if you want to find 100%, multiply 30 by 10)
Hopefully this helps :)
hello how are you doing today
Answers
I am doing fine thanks bro.
someone please help me with this question, pleaseeeee :/
tyyyyy!
Answers
Answer:
4x+9y-27=0
compare and fill em
hope it helps
Answer:
2
Step-by-step explanation:
y=1y
x=1x
so the answer will be 2.
may be
hope to help!!!
What are the steps to convert a number from standard notation to scientific notation?
Answers
Answer:
Consider a big number 3,400,000. To convert this number into scientific notation:
Place a decimal by counting the steps to the left until the coefficient of the number is between 1 and 9.
Count the number of steps moved. This will be the power of the base 10.
In this case, the coefficient is 3.4 and the 6 steps are moved.
Multiply the coefficient by 106,
Therefore, the answer is 3. 4 x 10 6
Step-by-step explanation:
Bonjour à tous, pouvez vous m'aider à trouver la réponse pour cette "question ouverte" svp?
Parmi les rectangles de périmètre 100cm, quelles sont les dimensions du rectangle d'aire maximale?
Merci d'avance, Joudy :))
Answers
La solution:
625 cm^2.
Explication étape par étape:
Si la forme est rectangulaire, elle aura la plus grande superficie possible quand la longueur équivaut à la largeur. Pour avoir un périmètre de 100 cm, cela signifie que chaque côté doit faire 25 cm.
La superficie serait alors de 25 cm x 25 cm = 625 cm^2.
Need someone to help me with this
Answers
Formula- y=mx+b
B is y intercept
M is slope
Hope this helps!!
Multiplying radicals. Simplify
Answers
Answer:
9√10
Step-by-step explanation:
3√15 x 6 = √90
3√90 = 3 x √9 x √10
3 √90 = 3 x 3 √10 = 9√10
how do you find the height of the base
Answers
Answer: the height of a triangle can be determined in many different ways depending on whether it's a right triangle, isosceles triangle (a triangle with two equal sides), or equilateral triangle.
Step-by-step explanation:
Step-by-step explanation:
The formula for the Area of a triangle is A = (1/2)bh where b is the base an h is the height. Since the triangle is a right triangle, the base and height are the two shorter sides
pls someone help me.
Answers
AB=EF
ABEF=ABF+AEF
NOW CONTINUES THE SOLUTION
GCF and LCM: word problems. Kiara is printing orange and green forms. She notices that 6 orange forms fit on a page, and 2 green forms fit on a page. If Kiara wants to print the exact same number of orange and green forms, what is the minimum number of each form that she could print? no links pls
Answers
Answer:
6
Step-by-step explanation:
The LCM of 6 and 2 is 6.
What is 1/2 of 14? this is an algebraic expression!!
Answers
enter an algebraic expression for the word expression.
2 decreased by n
Answers
Answer:
2 - n
Step-by-step explanation:
2 decreased by n means n less than 2.
Answer:
Write each phrase as an algebraic expression. Phrase, Expression. nine increased by a number x, 9 + x. fourteen decreased by a number p, 14
Step-by-step explanation:
2-n Plz mark brainliest if correct
What is the scale factor of the
dilation shown?
Answers
Answer:
2
Step-by-step explanation:
Write an equation for the graph
Answers
Answer:
y=3x +4
Step-by-step explanation:
your y intercept is 4, go 3 down 1 across and that is the slope.
if the compound interest on a sum for 2 years at 4% p.a. is ₹408, then the simple interest on the same sum at the same rate and for the same period is (I) ₹400 (ii) ₹398 (iii) ₹200 (iv) ₹204
Answers
Given that:
CI = ₹408
years = 2 years
Rate of interest = 4%
A = P{1+(R/100)}^
A-P = p{1+(R/100)}^n - P
I = P[1+(R/100)}^n - 1]
408 = P[{1+(4/100)²} - 1]
= P[{1+(1/25)²} - 1]
= P[(26/25)² - 1]
= P[(676/625) - 1]
= P[(676-625)/625]
408 = P(51/625)
P = 408*(625/51)
= 8*625 = 5000
Sum = 5000
Simple Interest (I) = (P*R)/100
= 5000*2*(4/100)
= 50*2*4 = 400
From the given above options, option (a) ₹400 is your correct answer.