10 cm
12 cm
20 cm
12 + x
G
12 cm
A
X

10 Cm12 Cm20 Cm12 + XG12 CmAX

Answers

Answer 1

Answer:

x = 12 cm and y = 24 cm

Step-by-step explanation:

Three sides of the first triangle are 10 cm, 12 cm and 12 cm.

Three sides of second triangle are 20 cm, 12+x cm and y cm.

As these two triangles are similar, it means,

[tex]\dfrac{10}{20}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{y}\ \text{and}\ \dfrac{1}{2}=\dfrac{12}{12+x}\\\\y=24\ cm\ \text{and}\ 24=12+x,x=12 cm[/tex]

So, the value of x is 12 cm and that of y is 24 cm.


Related Questions

Anthony bought a new rectangular table for his living room the length of the table is 4 feet and the perimeter of the table is 14 feet what is the width of the table ?

A. 4 feet

B.5 feet

C. 2 feet

D.3 feet

Answers

Answer:

Option d

Step-by-step explanation:

Length = 4 ftPerimeter = 14 ftWidth = ?

→ Perimeter of rectangle = 2(l + w)

→ 14 = 2(4 + w)

→ 14 ÷ 2 = 4 + w

→ 7 = 4 + w

→ 7 - 4 = w

3 ft = w

Therefore, width is 3 ft. (Option D)

3 feet so it’s ddddddd

HELP PLS i don’t understand it so can someone please help me

Answers

Step-by-step explanation:

hey :) I can't help you BUT there is a very good app I recommend it's called "algebrator". I really hope it helps you :)

Find the range of the graphed function.

Answers

Range is set of all y-values. To find a range of graphed function, we need to know that range starts from the minimum value of graph to maximum value. That's because the minimum value is the least value that you can get by substituting the domain and the maximum value is the largest value that you can get by substituting the domain as well.

Now we don't talk about domain here, we talk about range. See the attachment! You are supposed to focus on y-axis, plane or vertical line. See how the minimum value of function is the negative value while the maximum value is positive.

That means any ranges that don't contain the negative values are cleared out. (Hence A and C choices are wrong.)

Next, range being set of all real numbers mean that graphed functions don't have maximum value or minimum value (We can say that both max and min are infinite.)

Take a look at line graph as an example of range being set of all real numbers, or cubic function.

Answer/Conclusion

The range exists from negative value which is -9 to the maximum value which is 5.That means the range is -9<=y<=5

The expression 6.7\cdot1.45^t6.7⋅1.45 t 6, point, 7, dot, 1, point, 45, start superscript, t, end superscript models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project ttt years since 200220022002. What does 1.451.451, point, 45 represent in this expression?

Answers

Answer: 1.45 is a growth factor.

Step-by-step explanation:

Exponential growth function: [tex]y=Ab^x[/tex], where A = initial value , b = growth factor (if b>1)

Here, The expression [tex]6.7\cdot(1.45)^t[/tex] models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.

Here, b=1.45 >1

Thus,1.45 is a growth factor.

Grant is working at a veterinarian's office, and he needs to give a dose of medicine to a
25 kg dog. If a 10 kg dog needs 18 mL of the same medicine, how many milliliters of
medicine does the 25 kg dog need?

Answers

Answer:

45ml

Step-by-step explanation:

10 kg needs 18mL

So, 1kg = 1.8ml

25kg needs = 1.8kg/ml x 25 kg

25 kg dog would need 45ml.

Answer:

45 ml

Step-by-step explanation:

Weight of the dog and quantity of medicine is in Direct proportion.

Let the quantity required for 25 Kg dog =x

10 : 18 :: 25 : x

Product of extremes = product of means

10 * x = 18 * 25

[tex]x = \frac{18 * 25}{10}\\\\x = 9 * 5 \\\\x = 45[/tex]

This graph shows the solution to which inequality? A.y>=1/3x-2 B.y<1/3x-2 C.y<=1/3x-2 D.y>1/3x-2

Answers

Answer:

d.

Step-by-step explanation:

how do you find line segments in angels​

Answers

Answer:

Line segments are named by their endpoints and rays are named by their endpoint and another point. In each case, a segment or ray symbol is written above the points. Below, the line segment is ¯AB and the ray is →AB

AC and BD are perpendiculare bisectors of each other find the perimeter of ABC 30

Answers

Answer:

36 is the answer i was counting middle line oft triangle abc and it was throwing me off

Step-by-step explanation:

What scale is used on the graph below


a). no scale
b). 2 cm to 2 units on both axes
c). 1 cm to 2 units on both axes
d). 1 cm to 1 unit on both axes

Answers

[tex]\orange{\underline{{\bold{\mathbb{\blue{ \huge{QUESTION}}}}}}} [/tex]

What scale is used on the graph

[tex] \huge \bf {\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]

b). 2 cm to 2 units on both axes

As we can se there is gap of 2 boxes (side length= 1cm of one box so 2 boxes side length= 2cm) between 2 units so we can conclude that scale is equal to 2 cm to 2 units on both axes

[tex] \bold \red{DEFINATION \: \: OF \: \: SCALE }[/tex]

IT IS THE RELATIONSHIP BETWEEN THE UNIT USED AND ACTUAL VALUE ON THE GRAPH

Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.


Expression: Negative (4 x minus 5) + 2 (x minus 3)
Expression: –2x – 5
Step 1:
Choose a value of x
Choose x = 1.
Choose x = negative 1.
Step 2: Substitute
Negative (4 (1) minus 5) + 2 (1 minus 3)
Negative 2 (negative 1) minus 5
Step 3: Evaluate
Negative (4 (1) minus 5) + 2 (1 minus 3) = negative (negative 1) + 2 (negative 2) = negative 3
Negative 2 (negative 1) minus 5 = 2 minus 5 = negative 3
Step 4:
Compare
Since –3 = –3, the two expressions are equivalent.

Which explains whether Sophia is correct?

Answers

Answer:Hope This Helps ☺️

Step-by-step explanation:

She is not correct because she did not substitute the same number in both expressions in Step 1

Step-by-step explanation:

CASE 1: substitute 1 for x to both sides of the equations

L.H.S

-(4x-5)+2(x-3)

-(4 (1) - 5)+ 2(1-3) = - (-1) + 2(-2) = 1 - 4 = -3

R.H.S

-2x - 5

-2(1) - 5 = -2-5 = -7

Hence for x= 1

-(4x-5)+2(x-3) ≠ -2x -5

Because -3 ≠ -7

CASE 2: substitute -1 for x to both sides of the equations

L.H.S

-(4x-5)+2(x-3)

-(4 (-1) - 5)+ 2(-1-3) = - (-9) + 2(-4) = 9 - 8 = 1

R.H.S

-2x - 5

-2(-1) - 5 = 2-5 = -3

Hence for x= -1

-(4x-5)+2(x-3) ≠ -2x -5

Because 1 ≠ -3

Answer:

She is not correct because she did not substitute the same number in both expressions in Step 1

Math help please urgent please help

Answers

Answer:

Will cost 123 dollars.

Step-by-step explanation:

Find perimeter (50 m)

50 meters = 164 ft

164/10 ft = 16.4 ft

16.4 ft x 7.50 = 123 Dollars

Hope this helps. Consider giving brainliest :)

The addition Of 5 Times A Number X and 17 ?

Answers

Answer:

5x+17

Step-by-step explanation:

5 times a number, X, can be represented as 5x. If we want to add 5x and 17, we can say 5x+17.

Need help ASAP PLEASE ITS DUE IN A HOUR HURRY ?!!!

Answers

Answer:

d = 8

Step-by-step explanation:

V=(π)(r)^2(h/3)

83.7=(π)(r)^2(5/3)

Solve for r

r = 3.9

d = (3.99)(2)

d = 7.98

d = 8

Someone please help hurry I need to turn this in

Answers

Answer:

option a is right cz both have same value itz 1/root 2 hope it may help u

Brainly to whomever somehow solves for x. I WILL REPORT SCAMS AND UNHELPFUL "WHAT?" ANSWERS.

Answers

Answer:

[tex]x=\frac{33}{7}[/tex]

Step-by-step explanation:

Since ED is parallel to CA, the two triangles in the figure share all 3 angles and therefore must be similar. By definition, the corresponding sides of similar polygons are in a constant proportion.

Therefore, we have:

[tex]\frac{11}{11+x}=\frac{14}{20},\\14(11+x)=20\cdot 11,\\11+x=\frac{20\cdot 11}{14},\\x=\frac{110}{7}-11=\boxed{\frac{33}{7}}[/tex]

divide (6x³+5x²-4x+3) by (2x+3)​

Answers

Answer: 3x^2-2x+1

Step-by-step explanation:

Answer:

3x² - 2x + 1

Step-by-step explanation:

To get 3x²

6x³ ÷ 2x

To get -2x

-4x² ÷ 2x

To get +1

2x ÷ 2x

Which expression can go in the blank to make the equation true?
-2.9 + 2.8 + ____________ = 0

Answers

Answer:

+0.1

Step-by-step explanation:

when we subtract 2.9 and 2.8 we get -0.1 and to make it zero we have to keep +0.1

When u subtract the to u get -0.1 so u got to add the the zero to get the positive 0.1

The solids are similar. Find the volume of solid B. Write your answer in terms of pi.

Two cylinders are shown. The cylinder at the left is labeled Cylinder A, and the radius of the base is labeled 12 inches. At the bottom of the cylinder reads, V equals 4608 pi cubic inches. The cylinder at the right is labeled Cylinder B, and the radius of the base is labeled 15 inches.

Help please!

Answers

69,120

Step-by-step explanation:

You multiply 15 times 4608

The volume of solid B cylinder is 9000π cubic units.

What is a cylinder?

A cylinder is a 3-D solid figure that has two identical circular bases joined by a curved surface at a fixed distance from the center, that is the height of the cylinder.

For the given situation,

Cylinder A:

Let the radius of cylinder A be r1 = 12 inches

Let the height of cylinder A be h1

The volume of the cylinder A, V1 = 4608 π cubic inches

Cylinder B:

Let the radius of cylinder A be r2 = 15 inches

Let the height of cylinder A be h2

The volume of the cylinder A, V2

The formula of volume of cylinder is

[tex]V=\pi r^{2}h[/tex]

For cylinder A,

⇒ [tex]4608\pi =\pi (12)^{2}h1[/tex]

⇒ [tex]h1=\frac{4608}{144}[/tex]

⇒ [tex]h1=32[/tex]

Cylinder A and cylinder B are similar, so

[tex]\frac{h1}{h2} =\frac{r1}{r2}[/tex]

⇒ [tex]\frac{32}{h2} =\frac{12}{15}[/tex]

⇒ [tex]h2=\frac{(32)(15)}{12}[/tex]

⇒ [tex]h2=40[/tex]

Volume of cylinder B is

⇒ [tex]V=\pi (15)^{2}(40)[/tex]

⇒ [tex]V=9000\pi[/tex]

Hence we can conclude that the volume of solid B cylinder is 9000π cubic units.

Learn more about cylinders here

https://brainly.com/question/15891031

#SPJ2

angle H and angle D are supplementary. If angle H has a measure of 128 degrees, find the measure of angle D

Answers

m<H + m< D = 180°

Since m<H and m<D are supplementary angles.

128°+m<D =180°

m<D = 180-128

m<D = 52°

Answer: m<D = 52°

Answer:

angle D=52 degree

Step-by-step explanation:

In supplementrary angles sum of two angles is always 180 degree

angle H +angle D=180 degree (since they are supplementary angles)

sbstitute the value of H

128 + angle D=180

angle D=180-128

angle D=52 degree

therefore angle D is 52 degree.

Find the missing length of the triangle

Answers

Answer:

b = 2.5

Step-by-step explanation:

→ Utilise Pythagoras theorem

b² = c² - a²

→ Substitute in the numbers

b² = 6.5² - 6²

→ Simplify

b² = 6.25

→ Square root both sides

b = 2.5

Riya has a rectangular garden measuring 12m by 20m that she wanted to split diagonally from corner to corner using a fence. How long does her fence need to be? Give your answer to 1 decimal place.

Answers

Answer:

......

Step-by-step explanation:

Length of diagonal of the rectangle=

√( length) ²+( breadth) ²

=√(20) ²+(12) ²

=√400+144

√544 m

. '. Length of fence= √544 m

Perimeter of the triangle formed by the diagonal of the rectangle =(12+20+√544)

=(32+√544) m

12+20+ 544) = (32+ 544)

egtthffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff

Answers

Answer:

Umm lol I don't know why this person and said a weird message

Step-by-step explanation:

okay the answer is ufldnduejndhsjdnshsidmdjdhsoomsbdhdjdjdnd oof lol

Andy £9500 Bevan £25000 Cheryl £13250 Deva £75000 Elliott £12750 Frankie £29500 Grace £11000 a) Work out the mean income to 2 DP. b) Deva was given a large bonus for 30 years service. Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

a. £25142.86

b. £16833.33

Step-by-step explanation:

According to the Question,

Given, The Salary Of 7 People in An Office are,

Andy ⇒ £9500

Bevan ⇒ £25000

Cheryl ⇒ £13250

Deva ⇒ £75000

Elliott ⇒ £12750  

Frankie ⇒ £29500

Grace ⇒ £11000

a. The mean income = Total Sum of Salaries ÷ Number of Workers

Mean = (9500+25000+13250+75000+12750+29500+11000) ÷ 7

Mean = 176000 / 7 ⇒ £25142.86

b. Now, The Mean income After Excluding Deva's Salary is,

Mean = (9500+25000+13250+12750+29500+11000) ÷ 6

Mean = 101000 / 6 ⇒ £16833.33

Really stuck, please help

Answers

Answer:

Step-by-step explanation:

what do you know about the angles of a triangle? They make 180° right?

since you know that, now you can find  angle  Y  , by using the triangle on the left,   and you can find X by using the triangle on the right,  then,  when you know  X & Y , use both of those to find  Z  :)   got it?

Answer:

we know that a triangle's angles MUST add up to 180 degrees.

We can look at the triangle with the angles of 55, 80, and y. As the angles must add to 180, 55+80+y must be 180. Therefore, we find that y is equal to 45.

We can look at the triangle with the angles of 100, 60, and x. As the angles must add to 180, 100+60+x must be 180. Therefore, we find that x is equal to 20.

We then look at the triangle formed from x, y, and z. As the angles must add to 180, x+y+z must be 180. x is 20, y is 45, so 20+45+z = 180. Thus, z is 115.

So:

y = 45

x = 20

z = 115.

put the question -3/5+1/3 in simplest form

Answers

Answer:

-4/15

Step-by-step explanation:

-3/5+1/3 = -4/15

Write equivalent fraction for the given number : 2/4 = _______ , ____________ , ______________, _ _________

Answers

Answer:

1/2, 4/8, 5/10, 6/12 (examples of equivalent fractions)

Step-by-step explanation:

all you have to do is keep the ratio the same, so whatever change you make to one side of the fraction, you do the same to the other

here's an example: 2/4 divided by 2/2 = 1/2

- you would divide 2 by 2 AND 4 by 2

1/2 , 3/6 , 4/8 , 5/10

Can someone explain the answer to 7.1x10^-3 ?

Answers

Answer:

[tex]{ \tt{7.1 \times {10}^{ - 3} }} \\ { \bf{negative \: means \: { \green{increase \: in \: decimal \: places}}}} \\ = { \tt{0.71 \times {10}^{ - 2} }} \\ = { \tt{0.071 \times {10}^{ - 1} }} \\ = { \tt{0.0071 \times {10}^{0} }} \\ { \boxed{ but \: {10}^{0} = 1}} \\ \therefore{ \tt{ = 0.0071 \times 1 = 0.0071}}[/tex]

Melissa read 250 pages of a book last weekend. This weekend she reads 240 pages of a book. What is the percent of change in the number of pages she read last weekend to the number of pages she read this weekend?

Answers

Answer:

there is a 4% decrease in the number of pages read by Melissa

Step-by-step explanation:

Percentage change = (books read this week - books read last week) / books read last week x 100

(240 - 250) / 250 x 100

= -10/250 x 100 = -4%

Could someone please help me solve these?

Answers

In advance, I hope nothing I say sounds condescending; I just don’t know how much you know lol. Also geometry sucks

They’re vertical angles (they’re opposite angles when 2 lines intersect). Since vertical angles are congruent, we can set up an equation to solve for the value of x.
If they’re both equal, we’ll say exactly that in our equation!

2x + 90 = 4x + 30

Combine like terms

2x = 60

Simplify

x = 30

Now, just plug in 30 for one of the x values in either of the equations

2(30) + 90 = 150

Angle = 150 °

Hope this helped!

What is the measure of ADB?

Answers

The answer is A 109

Explanation:
Solve for x when doing 6x+19=7x+4
Then plug in the value of x into 6x+19
6x+19=7x+4
-4 each side
6x+15=7x
-6x from each side
15=1x
15=x
Then plug it back in:
(6 [15] +19)
(90+19)
109

The answer is A: 109
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