If ABC and EDC are similar, what is the value
of x?
A

Answers

Answer 1

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

BC/DC = EC/AC , substitute values

3x×5/32 - 5x-5/56 ( cross- multiply )

56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides

168x - 280 = 160x - 160 ( subtract 160x from both sides )

8x - 280 = - 160 ( add 280 to both sides )

8x = 120 ( divide both sides by 8 )

x = 15


Related Questions

Solve for d.
3/2
= 5d
-1/2

Answers

Answer:

Step-by-step explanation:

3/2=5d-1/2 ( do cross multiplication )

3*2=2(5d-1)

6=10d-2

6+2=10d

8/10=d

4/5=d

0.8=d

The answer is D=4/5

This probability distribution shows the

typical grade distribution for a Geometry

course with 35 students.

Grade

A

B

с

DF

Frequency 5

10

15

3

2

Find the probability that a student earns a

grade of B.

p = [?]

Enter a decimal rounded to the nearest hundredth.

Answers

Answer:

0.29

Step-by-step explanation:

Total grade frequency = (5 + 10 + 15 + 3 + 2) = 35

Frequency of grade B = 10

Probability = required outcome / Total possible outcomes

Required outcome = frequency of grade B = 10

Total possible outcomes = total grade frequency = 35

P(B) = 10 / 35

P(B) = 0.2857

P(B) = 0.29

Rishan is building a number 3091 using Place-value blocks. There are no thousands block. How many hundreds blocks can he use instead?

Answers

Given:

The number is 3091.

To find:

The number of hundreds blocks if there are no thousands block.

Solution:

The given number is 3091.

It can be written as:

[tex]3091=3000+0+90+1[/tex]

[tex]3091=3\times 1000+0\times 100+9\times 10+1\times 1[/tex]

[tex]3091=3\ Thousands+0\ Hundreds+90\ Tens+1\ Ones[/tex]

There are no thousands block. So,

[tex]3000=30\times 100[/tex]

[tex]3000=30\ Hundreds[/tex]

Therefore, the number of hundreds blocks in 3091 is 30.

Which of the following best describes a basic postulate of Euclidean
geometry?
O A. A circle measures 360°.
B. A circle can be drawn with any center and radius.
C. All lines continue indefinitely
D. All isosceles right triangles are similar.

Answers

B. A circle can be drawn with any centre and radius

what is the missing side-

Answers

Answer:

did u try looking it up lol?

Step-by-step explanation:

Solve for the variable then find the missing angle.

Answers

3x + 20 = 40 + 40
3x = 60
X = 20


V + 71 = 107
V = 36

How do you write 0.0006363 in scientific notation?

Answers

Answer:

Step-by-step explanation:

Proper scientific notation means that there is only 1 number to the left of a decimal and everything else to the right of it. Also, because the number is initially less than 1, the exponent will be a negative one. We have to move the decimal 4 places to the right in order to get the 6 to the left of it, so in correct scientific notation format, we have

[tex]6.363*10^{-4[/tex]

Which box plot represents a data set with a lower quartile of 24 and an upper quartile of 42?
24
30 34
40 42
18
36 42 50
34
18 26 34 42 50 58 66 74 82 90
16 20 24 28 32 36 40 44 48
12
92
12 24 32 42
60
36 42 50
TT
10 20 30 40 50 60 70 80 90 100
0 8 16 24 32 40 48 56 64 72

Answers

Option D represents a data set with a lower quartile of 24 and an upper quartile of 42.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.

The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

Similarly, the second quartile (also called median) is approximately in mid of the data.

The third quartile has approx 75% in its left partition, and on its right lies approx 25% of the data.

Left to right is said in the assumption that data were arranged increasingly from left to right

Hence, the box plot that represents a data set with a lower quartile of 24 and an upper quartile of 42 from the given option is D.

Learn more about quartiles here:

brainly.com/question/9260741

#SPJ1

plz help i beg uu. Will give branliest

Answers

I think the answer would be C :$:$:$:$:$:$:$:$:&:$
The answer is C hope this helps!!

Which of the following linear equations has the steepest slope?

Answers

Answer:

b

Step-by-step explanation:

Simple math! Please help!!!!

Answers

[tex] c.\:{x}^{ - 4} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{7 {x}^{4} }{7 {x}^{8} } \\ = \frac{ {x}^{4} }{ {x}^{8} } \\ = {x}^{4 - 8} \\ = {x}^{ - 4} [/tex]

Note:-

[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Find the roots of the following function:

y = x2 − 7x − 30

Answers

Answer:

x = 3, −10

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.

What is the sum of interior angles of a 53-gon? Type just the number, no words, letters, or symbols

Answers

Answer:

S = 9180°

Step-by-step explanation:

Given the following data;

Number of sides = 53

To find the sum of interior angles of a 53-gon;

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sum of the interior angles

Substituting into the formula, we have;

S = 180(53 - 2)

S = 180 * 51

S = 9180°

find the surface area asap i’ll give brainliest

Answers

Answer:

The surface area of the prism is 544 in²

Step-by-step explanation:

Given;

base of the triangular prism, b = 12 in

side length, = 10 in and 14 in

height = 8 in

The surface area is calculated as follows;

S.A = 2(area of the triangular face)  + area of the rectangualr faces

S.A = 2( ¹/₂ x 12 x 8)  +  2(14 x 10)  + 14 x 12

S.A = (96)  + 2(140)  +  (168)

S.A = 96  +  280  +  168

S.A = 544 in²

Therefore, the surface area is 544 in²

Jimmy's Bakery sold 950 donuts last week. This week , the number of donuts sold increased 12%. How many more donuts were sold this week?

Answers

Step 1: Find 12% of 950
114
Step 2: Add the result to the original number
950 + 114 = 1064
Answer = 114

Ana ganha 1200,00 reais em seu trabalho, se ela gastar um quinto em comida e dois terços do que sobrar em aluguel, quanto sobra, ou falta?

Answers

Answer:

Ana fica com a quantia de 560

Step-by-step explanation:

Dado

Ana ganha = 1200

Ela gasta um quinto com comida e dois terços do que resta com o aluguel

Valor que sobrou com Ana depois de gastar com comida e aluguel

1200 - 1/5 (1200) - 1/3 (1200)

1200 - 240 -400

1200 -640

560

Ana fica com a quantia de 560

On a certain hot​ summer's day, 336 people used the public swimming pool. The daily prices are $1.50 for children and $2.50for adults. The receipts for admission totaled $613.00 How many children and how many adults swam at the public pool that​ day?

Answers

Answer:-

Let c represent the number of children ($1.75 each) and a represent the number of adults ($2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = - $70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

Answer:

227 children and 109 adults

Step-by-step explanation:

227*1.5+109*2.5=613

227+109=336

What is the length of the missing leg?

Answers

The answer for A is 20

x^2=6x+1
rewrite the equation by completing the square your equation should look like (x+a)^2=b or (x-c)^2=d

What are the solutions to the equation?

Answers

Answer:

x=3+√10 or x=3−√10

Let's solve your equation step-by-step.

x2=6x+1

Step 1: Subtract 6x+1 from both sides.

x2−(6x+1)=6x+1−(6x+1)

x2−6x−1=0

For this equation: a=1, b=-6, c=-1

1x2+−6x+−1=0

Step 2: Use quadratic formula with a=1, b=-6, c=-1.

x= −b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(1)(−1)

2(1)

x=

6±√40

2

x=3+√10 or x=3−√10

x=3+√10 or x=3−√10

Let's solve your equation step-by-step.

x2=6x+1

Step 1: Subtract 6x+1 from both sides.

x2−(6x+1)=6x+1−(6x+1)

x2−6x−1=0

For this equation: a=1, b=-6, c=-1

1x2+−6x+−1=0

Step 2: Use quadratic formula with a=1, b=-6, c=-1.

x= −b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(1)(−1)

2(1)

x=

6±√40

2

x=3+√10 or x=3−√10Answer:

Step-by-step explanation:

A magazine collects these data measuring the battery life , in hours , of a sample of MP3 players : 5.7, 6, 6.1, 6.5, 6.8, 7.1, 7.4, 7.6, 8.1, 8.2 About how long does an MP3 player in the 50th percentile play ?

Answers

Answer:

the answer is 6.8

Step-by-step explanation:

The computation is shown below:

Since we have to determined the 50th percentile play

So,

= 50(nth value) ÷ number of observations

= 50(nth value) ÷ 10

= 5th value

= 6.8

Hence the answer is 6.8

The same is to be considered and relevant

What is the product of 4 square root 6 and 7 square root 18 in simplest radical form

Answers

Answer:

28√108

Step-by-step explanation:

4√6 * 7√18

28√108

Thank You

Hope u understand

Please mark as brainliest

Which relation is a function?

Answers

Answer:

C

Step-by-step explanation:

if you don't have from same x different outcomes is a function

think that x is a day you count votes, you can not get for the same day different y number of votes ( something is fishy then)

A. not a function because (6, -3) and (6, 3)

B. not  a function because (4,7) and (4,2)

C. is a function

D. not a function because (2, -1) (2,1) (2,3)

Plz slove if you can!

Can you find x?

Answers

x is 19

hope this helpssssssssss

Answer:

x=19 degree

2x=2*19

=38 degree

Step-by-step explanation:

Please help!

At Jefferson Middle School, 84 seventh-grade students have been to the zoo.This number is 75% of the total number of seventh-grade students. What is
the total number of seventh-grade students at Jefferson Middle School?

Answers

Answer:

Step-by-step explanation:63

Find the value of x and the measure of the angle labeled 3xº.
72°
3x
42°
30°

I really need help!!!!!!!

Answers

Answer:

x=10  3x= 30

Step-by-step explanation:

3x = 30 since the angles are vertical angles

3x/3 = 30/3

x = 10

Answer:

B

Step-by-step explanation:

Set up an equation:

30 = 3x

Divide both sides by 3:

10 = x

x = 10 degrees

Plug the value of x into the angle:

3 × 10

30 degrees

13.2 Area of Triangles
2. Find the area of the triangle.
14 ft
17 ft

Answers

Answer:

119

Step-by-step explanation:

Answer:

question 1 is,  the area is 119

question two is, the base length is  18

Step-by-step explanation:

PART ONE

To figure this out we need to know that to find the area the equation is A=1/2bh so lets create our equation

A=1/2(17)(14)

A=1/2(238)

A=119

119 is your area

PART TWO

to find out the length we need to basically reverse what we did in the first part

270*2=540

540 divided by 30 (the height)=18

18 is the base length

to show it is correct we can use these numbers to find the answer  

A=1/2(18)(30)

A=1/2(540)

A=270

This season, the probability that the Yankees will win a game is 0.6 and the probability that the Yankees will score 5 or more runs in a game is 0.57. The probability that the Yankees lose and score fewer than 5 runs is 0.34. What is the probability that the Yankees would score fewer than 5 runs when they win the game? Round your answer to the nearest thousandth.

Answers

The probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability that the Yankees will win a game P(win) = 0.6

The probability that the Yankees will score 5 or more runs in a game is:

P(s>5) = 0.57

The probability that the Yankees lose and score fewer than 5 runs is:

P(s<5) = 0.34

To find the probability that the Yankees would score fewer than 5 runs when they win the game:

This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:

= P(win)×P(s<5)

= 0.6×0.34

= 0.204

Thus, the probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

Learn more about the probability here:

brainly.com/question/11234923

Triangle XY Z has vertices X = (5, -1), Y = (1, 4), and Z=
(-8,0). Triangle X'Y'Z' is formed when triangle XYZ is
reflected over the y-axis. What are the coordinates of
triangle X'Y'Z'?

Answers

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

X (5, - 1 ) → X' (- 5, - 1 )

Y (1, 4 ) → Y' (- 1, 4 )

Z (- 8, 0 ) → Z' (8, 0 )

Find the area of the triangle. b 22 in h 4 1/2 in.

Answers

Answer:

22 times 4 1/2 divided by 2

someone help please

Answers

Answer:

7.76

Step-by-step explanation:

tan 29° = XY/14

XY = tan 29° (14)

= 7.76

Answer:

XY=7.76

Step-by-step explanation:

Tan25° says opp÷adj

so it's Tan29°=XY÷14

then multiply both sides by 14 to make CY the subject of the formula...

14×Tan29°=XY

therefore=XY=7.76

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