Answers
Answer:
BC = 24
Step-by-step explanation:
We know that triangles CAB and CED are similar because all three of their angles are the same. Thus, we know that the side lengths of these triangles have to be proportional to each other. You would match side BC with side DC and sides AC with EC.
AC/EC = BC/DC
30/10 = (32-x)/x
3 = (32-x)/x
Then using algebraic properties, solve for x.
3x = 32 - x
4x = 32
x = 8.
Lastly, plug in 8 for the x in BC, 32 - 8, so the length of BC is 24
Answer:
B
Step-by-step explanation:
Δ CBA and Δ CDE are similar triangles, then the ratios of corresponding sides are equal, that is
[tex]\frac{CB}{CD}[/tex] = [tex]\frac{CA}{CE}[/tex] , substitute values
[tex]\frac{32-x}{x}[/tex] = [tex]\frac{30}{10}[/tex] = 3 ( multiply both sides by x )
32 - x = 3x ( add x to both sides )
32 = 4x ( divide both sides by 4 )
8 = x
Then
BC = 32 - x = 32 - 8 = 24 → B
Related Questions
Find the solution of y = 6x + 1 for x = 5
Answers
Answer:
y = 31 when x = 5
Step-by-step explanation:
We are to evaluate (not solve) the function y = 6 x + 1 for x = 5.
Substituting 5 for x in y = 6x + 1, we get
y = 6(5) + 1 = 31
y = 31 when x = 5
[tex] \quad\quad \quad\quad\tt{y = 6x + 1}[/tex]
[tex] \quad\quad \quad\quad\tt{y = 6(5) + 1}[/tex]
[tex] \quad\quad \quad\quad\tt{y = 30 + 1}[/tex]
[tex] \quad\quad \quad\quad \boxed{\tt{y = 31}}[/tex]
Hence, the final answer is:[tex]\quad\quad \quad\quad \boxed{\tt \color{green}{y = 31}}[/tex]
_______
#LetsStudy
I SUCK AT MATH. HELP!!!
Answers
Sin P= 2/30
Sin of P simply means take the side opposite of angle P, and divide it by the hypotenuse (the long diagonal one.)
Sin= O/H
Cos= A/H
Tan= O/A
a merchant gains 15% by selling an article for $ 150. by how much does he sell it to double his profit ?
Answers
Answer:
30/100×150=
24/5%, that is the answer
(15% * x) + x = $150
x = about $130.44
$130.4347… * 2 = $260.80
arrange in order ^6√5,^3√3 and √2
plz help
Answers
⁶√5 < √2 < ³√3
Step-by-step explanation:
Given: ⁶√5, ³√3, √2
[tex] = {5}^{ \frac{1}{6} } , \: {3}^{ \frac{1}{3} } , \: {2}^{ \frac{1}{2} } \\ = {({5}^{ \frac{1}{6} })}^{6} , \: {({3}^{ \frac{1}{3} })}^{6} , \: {({2}^{ \frac{1}{2} })}^{6} \\ = 5, \: {3}^{2} , \: {2}^{3} \\ = 5, \: 9, \: 8 \\ \\ 5 < 8 < 9 \\ = {5}^{ \frac{1}{6} } < \: {2}^{ \frac{1}{2} } \: < {3}^{ \frac{1}{3} } \\ [/tex]
María compró 78 metros de cuerda, ella dividió en 6 partes iguales la cuerda el día martes 8 de mayo ¿Cuántos metros mide cada trozo? *
a) Cada trozo mide 312m
c) Cada trozo mide 13m
d) cada trozo mite 92m
b) Cada trozo mide 9m y 75cm
Answers
Answer:
The length of each piece is 13 m.
Step-by-step explanation:
Maria bought 78 meters of rope, she divided the rope into 6 equal parts on Tuesday, May 8, How many meters is each piece?
a) Each piece measures 312m
c) Each piece measures 13m
d) each piece mites 92m
b) Each piece measures 9m and 75cm
Total length, L = 78 m
Number of pieces, n = 6
length of each piece,
d = L/n = 78/6 = 13 m
So, the correct option is (c).
Martha estimated the quotient of −71.81 and −8.02 using rounding to the nearest whole number. 9 StartLongDivisionSymbol 72 EndLongDivisionSymbol minus 72 = a remainder of 0 and quotient of 8. What was Martha's error? She should have rounded the dividend to 70. She should have rounded –8.02 to –8. She should have divided 8 by 72. She did not make an error.
Answers
Answer:
(b) She should have rounded –8.02 to –8
Step-by-step explanation:
Given
See attachment for long division
Required
Her error
Ignoring the minus sign,
Her approximation is as follows:
[tex]-71.81 \approx 72[/tex]
[tex]-8.02 \approx 9[/tex]
Her approximation of -8.02 is wrong
Because:
[tex]-8.02 \approx 8[/tex]
Hence (b) is correct
B (she should have rounded –8.02 to –8)
Step-by-step explanation:
Just got it right on e d g e u n i t y 2021!
Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating.
20% tip on a bill of $945.41
Answers
Answer: 189.082
189.082 is 20% of 945.41
Step-by-step explanation:
What is 20% of 945.41?
Y is 20% of 945.41
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 20% * 945.41
Converting percent to decimal:
p = 20%/100 = 0.2
Y = 0.2 * 945.41
Y = 189.082
The triangles are similar by
1-AA
2-ASA
3-SSS
4-SAS
Answers
Answer:
It will be the 1st one that is The triangles are similar by AA
Hope it helped
Does the equation 2(x + 3) + x = 3(x + 2) have one, infinite, or no solutions? Explain how you got your answer.
Answers
The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
• Points S, P, Q, and Rare midpoints of ABCE
• T, N, L, and Mare midpoints of PQRS
Write the equation of line ML. Show your work.
Answers
Answer:
ML = √[¼ (EC)²]
Step-by-step explanation:
ML² = ½(QR)²
QR² = ½(EC)²
so, ML² = ¼ (EC)²
=> ML = √[¼ (EC)²]
The equation of the line ML is given by [tex]ML = \frac{AC}{2\sqrt{2} }[/tex] .
Concept:We will find the length of SE and ER.Then we will find the length of SR by using the Pythagoras theorem in Δ ESR.Then, we will find the length of MR and RL and hence, again using the Pythagoras theorem in Δ MRL and find the length of ML.How to solve the given question?Since, S is the midpoint of AE.[tex]SE = \frac{AE}{2}[/tex]
Similarly, [tex]RE = \frac{CE}{2}[/tex]In Δ SER, ∠E = 90°,
∴ By Pythagoras theorem, SR² = SE² + ER²
∴ [tex]SR^2 = (\frac{AE}{2})^2 + ( \frac{RE}{2})^2 = \frac{AE^2 + CE^2}{4}[/tex] ...... (1)
∴ Similarly, [tex]RQ^2 = \frac{BC^2 + CE^2}{4}[/tex] ............ (2)
Since, M & L are the midpoints of SR and RQ.
[tex]MR = \frac{SR}{2}[/tex] & [tex]RL = \frac{RQ}{2}[/tex]
In Δ LMR, ∠R = 90°,
∴ By Pythagoras theorem, ML² = RM² + RL²
∴ [tex]ML^2 = (\frac{SR}{2})^2 + ( \frac{RQ}{2})^2 = \frac{SR^2 + RQ^2}{4}[/tex]
Substituting value of SR and RQ from 1 and 2.
[tex]ML^2 =\frac{1}{4} [ \frac{AE^2 + CE^2}{4} + \frac{BC^2 + CE^2}{4} ][/tex]
As ABCE is parallelogram, BC = AE
∴ [tex]ML^2 =\frac{1}{4} [ \frac{2AE^2 + 2CE^2}{4} ] = [ \frac{AE^2 + CE^2}{8} ][/tex]
[tex]ML = \frac{AC}{2\sqrt{2} }[/tex]
Thus, the equation of the line ML is given by [tex]ML = \frac{AC}{2\sqrt{2} }[/tex] .
Learn more about parallelogram here:
https://brainly.com/question/970600
#SPJ2
solve for x
6x²+2x-12
Answers
Answer:
Step-by-step explanation:
Solving for x means you have to factor. First factor out the GCF of 2 to get:
[tex]2(3x^2+x-6)[/tex] and now we'll factor using the regular old method of ac and then factoring by grouping. In our polynomial, a = 3, b = 1, c = -6. Therefore, a times c is 3 * -6 which is -18. We need some combinations of the factors of 18 that will add to give us 1, the b term in the middle. The factors of 18 are:
1, 18
2, 9
3, 6 and that's it. Hm...it seems that won't work, so let's throw this into the quadratic formula, going back to the original and a = 6, b = 2 and c = -12:
[tex]x=\frac{-2+/-\sqrt{2^2-4(6)(-12)} }{2(6)}[/tex] and
[tex]x=\frac{-2+/-\sqrt{4+288} }{12}[/tex] and
[tex]x=\frac{-2+/-\sqrt{292} }{12}[/tex] and
[tex]x=\frac{-2+/-\sqrt{4*73} }{12}[/tex] and
[tex]x=\frac{-2+/-2\sqrt{73} }{12}[/tex] which finally simplifies to
[tex]x=\frac{-1+/-\sqrt{73} }{6}[/tex] No wonder that didn't factor using the traditional method of factoring! We could have found that out by finding first the value of the discriminant, but oh well!
Pilar has a square game board with 25 equal sections. The sections are randomly colored with 4 different colors. There are 5 blue, 5 red, 10 yellow, and 5 green squares. Each player has a chip to toss onto the game board. What is the probability of a player tossing a chip onto a yellow square!
Answers
Answer:
The probability is 2/5
Step-by-step explanation:
There are 25 sections on the board
And 10 of those squares are coloured yellow
Therefore;
Probability =
[tex] \frac{10}{25} = \frac{2}{5} [/tex]
the dimensions of a triangular prism are given in the diagram find the volume of the prism in cubic feet .
Please help me
Answers
Answer:
B. 192.5 ft³
To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).
(5 * 7 * 11)/2
Multiply 5 by 7 to get 35.
(35 * 11)/2
Multiply 35 by 11 to get 385.
385/2
192.5 ft³ is the volume of this triangluar prism.
Answer:
25 times 12
300
divided by 2
150
times 22
3300 cubic ft
Which of the following conditions are sufficient to show that the two polygons are congruent?
A. Slopesc = Slopen and slopezo = slopeo
B. The lengths of all corresponding sides are equal: AB = LM, BC = MN, CD = NO, AD = LO.
C. None. The polygons cannot be congruent because they have different orientations.
D. The rise and run of the translation between each pair of corresponding points are the same.
Answers
Answer:
(B) Two number is the answer of your question.
The area of a trapezoid is represented by the expression 12x2 + 7x – 10. The other dimensions are shown in the diagram below. Determine an expression for the height of the trapezoid.
Answers
Answer:
(24x^2 + 14x – 20) /(3x+5) = h
Step-by-step explanation:
The area of a trapezoid is given by
A =1/2 (b1+b2) h
12x^2 + 7x – 10 = 1/2 ( x+3+ 3x+2)h
Multiply each side by 2
24x^2 + 14x – 20 = ( x+3+ 3x+2)h
Combine like terms
24x^2 + 14x – 20 = ( 4x+5)h
Divide each side by (4x+5)
(24x^2 + 14x – 20) /(4x+5) = ( 4x+5)h/(4x+5)
(24x^2 + 14x – 20) /(4x+5) = h
I've never been this confused can someone help? I'll be brainlisting!! it's urgent.
Answers
Try this option:
a) 0.5; b) 0.91; c) 2.9; d) 0.72; e) 0.88; f) 0.47; g) 0.33; h) 0.71; i) 1.88; j) 0.42; k) 1; l) 0.87
Las dos cifras de un número suman 11 . Si las cifras se invierten de orden se invierten de orden , se obtiene otro número que excede en 27 unidades al anterior¿De q número se trata ?
Answers
Answer:
El número es el 47
Step-by-step explanation: Con los dígitos de los siguientes números se obtiene que su suma es 11
47 4 + 7 = 11
38 3 + 8 = 11
29 2 + 9 = 11
Si se cambia el orden de los dígitos:
47 se convierte en 74 74 - 47 = 27
38 " " 83 83 - 38 = 45
29 " " 92 92 - 29 = 63
Entonces el número solicitado es el 47
Cleiton vai participar de uma maratona e para isso treina diariamente correndo 7 km. No final de três semana quantos quilômetros terá percorrido?
Answers
Answer:
Number of kilometer he run in 3 week = 147 kilometer
Step-by-step explanation:
Given:
Cleiton's daily run = 7 km
Find:
Number of kilometer he run in 3 week
Computation:
Number of days in a week = 7
Number of days in 3 week = 7 x 3
Number of days in a week = 21 days
Number of kilometer he run in 3 week = Cleiton's daily run × Number of days in a week
Number of kilometer he run in 3 week = 7 × 21
Number of kilometer he run in 3 week = 147 kilometer
Convert the following to ordinary numbers
a) 8.39 x 104
b) 3.84x10-3
Answers
Answer:
8.34 ×10^4 as in sceintific notation so in normal
8.39×10^4 = 83900
and 3.84 × 10^-3 = 0.00384
Hope it helps
Answer number 6 for me
Answers
Answer:
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
c^2 = 72
c = [tex]\sqrt{72}[/tex]
c=3[tex]\sqrt{8}[/tex]
c=8.485281374
Step-by-step explanation:
Please help? I really need it
Answers
Answer:
216 in²
Step-by-step explanation:
a = bh
a = 18 * 12
a = 216
PLEASE HELP! Urgent I'll give brainliest if answer is right tysm.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.35 Newtons when the distance between the objects is 8 metres.
Work out F (rounded to 2 DP) when d=7 metres.
Answers
Sorry for the wrong answer
Answer:
0.46 Newtons
Step-by-step explanation:
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
f = k/d²
--------------------------------
to determine k use The force is 0.35 Newtons when the distance between the objects is 8 metres.
0.35 = k/8²
0.35 = k/64
multiply both sides by 64
22.4 = k
---------------------------
Work out F (rounded to 2 DP) when d=7 metres.
f = 22.4/7²
f = 22.4/49
f = 0.46
Identify the y-intercept of line in the graph?
Answers
Answer:
(0,-1)
Step-by-step explanation:
You look at where the line intercepts the y axis, which is at (0,-1)
Answer:
(0,-1)
Step-by-step explanation:
y intercept is the point on the y- axis
The coordinates are (0,-1)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
find the value of 3x=1/9
Answers
f(x) = 3x - 4
x is -2
Answers
Una máquina de bolas de chicle tiene 23 chicles verdes, 52 chicles rojos, 34 chicles azules, 61 chicles amarillos y 30 chicles rosas. ¿Qué porcentaje de los chicles son rojos?
Answers
Answer:
creo que es 96%
Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.
Please help me!!
The picture of the question is attached
Answers
Answer:
x = 240°, x = 300°
Step-by-step explanation:
Using the identity
sin x = [tex]\frac{1}{cosecx}[/tex] = [tex]\frac{1}{-\frac{2}{\sqrt{3} } }[/tex] = - [tex]\frac{\sqrt{3} }{2}[/tex] , then
x = [tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{3} }{2}[/tex] ) = 60° ← related acute angle
Since sin x < 0 then x is in 3rd / 4th quadrants
x = 180° + 60° = 240°
x = 360° - 60° = 300°
Which statement is true?
Answers
Answer:
I believe it is the 3rd one down
Step-by-step explanation:
Because the two angles make an angle of 180, supplementary angles make one angle of 180 and it says that 2 and 3 are alike because they make a supplementary angle and there is a line dividing them that looks like both angles = 90 degrees
Solve the equation to find the value of m and n.
2m + 3n = -5
5m + 3n = 1
Answers
Answer:
m = 2, n = - 3
Step-by-step explanation:
Given the 2 equations
2m + 3n = - 5 → (1)
5m + 3n = 1 → (2)
Subtract (2) from (1) term by term to eliminate n
2m - 5m = - 5 - 1
- 3m = - 6 ( divide both sides by - 3 )
m = 2
Substitute m = 2 into either of the 2 equations and solve for n
Substituting into (1)
2(2) + 3n = - 5
4 + 3n = - 5 ( subtract 4 from both sides )
3n = - 9 ( divide both sides by 3 )
n = - 3
Step-by-step explanation:
2m + 3n = -5
5m + 3n = 1
(Multiply each equation by a suitable number so that the two equations have the same leading coefficient)
6m + 9n = -15
15m + 9n = 3
(Subtract the second equation from the first)
15m- 6m = -15-3
-9m= -18
-9m/-9= -18/-9
m= 2
(Solve this new equation for m)
5(2) +3n = 1
10+3n=1
3n=1-10
3n=-9
3n/3 = -9/3
n= -3
(Substitute m = 2 into either Equation 1 or Equation 2 above and solve for n )
1. In Tagaytay Picnic Groove, a horse ride costs P 120.00 per person for the first 30
minutes and P 50.00 for every additional 10 minutes. If you spent P 270.00 for a
horse ride, for how long did you ride?
Answers
Answer:
1 Hour
Explanation:
•A horse ride costs P120.00 per person for the
first 30 minutes.
•P50.00 for every additional 10 minutes.
I Spend P270.00, I Subtracted P120.00 For the
first 30 minutes.
270 - 120 = 150
150/50 = 3
If I Spend P50.00 for every additional 10 minutes
Then:
3 * 10 = 30
P120.00 For the first 30 minutes.
30 minutes + 30 minutes = 60 min = 1 Hour