Use Similar triangles to calculate the height, h cm, of traingle ABE

Answer:

Step-by-step explanation:

ΔABE ~ ΔACD

  AC/AB = AD/AE

  (10+x)/10 = (15+3)/15

  1 +x/10 = 1 +0.2 . . . expand each ratio

  x = 10(0.2) . . . . . . . subtract 1 and multiply by 10

  x = 2

__

ΔABE ~ ΔADC

  AC/AE = AD/AB

  (10+x)/15 = (15+3)/10

  10 +x = 27 . . . . . . . . multiply by 15

  x = 17 . . . . . . . . . . . . subtract 10

_____

Additional comment

The triangles can be declared similar in 6 ways, but it does no good to match a marked side with an unmarked side. Hence, only two of the possible similarity statements will result in a solution for x.

Answer:

This will give you 5/5

x = 17  

x=2  

Assuming triangle ABE is similar to ACD

Assuming traingle ABE is similar to ADC

Step-by-step explanation:

18/10 = 1.8 (S.F)

15 x 1.8 = 27

27-10 = 17

x = 17

15+3=18

18/15= 1.2 (S.F)

10x1.2= 12

12-10=2

x=2

Assuming triangle ABE is similar to ACD

Assuming triangle ABE is similar to ADC

Answer:

The answer is D

Step-by-step explanation:

When the exponent is negative then you go in to decimals

Answer:

since its a negative number you need to to go to the decimals> therefore the answer would be (D)

Answer:

170%

Step-by-step explanation:

Answer: 3780

Step-by-step explanation: 35 x 9 x 12= 3780

Answer:

3,780 cm

Step-by-step explanation:

L x W x H

Answer:

b , c , d

Step-by-step explanation:

Answer:

The answer is B, C, and E.

Hope this helps!!! Love you!!

Step-by-step explanation:

Answer:

first it's adding 4 then it starts adding 8

Step-by-step explanation:

Answer:

If your data represents the following X, Y coordinates (11, 2), (15, 10), and (19, 18) then the slope can be calculate

X = 11 15 19

Y = 2 10 18

m = (y2 -y1)/(x2 - x1)

m = (10 - 2)/(15 - 11)

M = 8/4 = 2

I hope you find this useful.

If your data represents the following X, Y coordinates (11, 2), (15, 10), and (19, 18) then the slope can be calculate

X = 11 15 19

Y = 2 10 18

m = (y2 -y1)/(x2 - x1)

m = (10 - 2)/(15 - 11)

M = 8/4 = 2

I hope you find this useful.

Step-by-step explanation:

Answer: for part c the gas would not remain a liquid.

Step-by-step explanation: Because as stated, the tempature dropped to -49 degrees farhenheit, and for instance, oxygen, a gas, becomes a liquid if you cool it down to - 297 degrees Fahrenheit (really, REALLY cold) and if you cool it down further to -362 degrees Fahrenheit it becomes a solid, so therefore it definetly couldnt stay a liquid if the temp raised so high. it would seconense back.

i do not know if this is correct but i did try so i am deeply sorry if this fails.

Answer:

5y-35

Step-by-step explanation:

since we don't know what y is you have to multiply y and 7 by 5 and you'd get 5y and 35 and then just add the subtraction and bam there's your answer

Answer:

1) A point P is named or labeled by using a coordinate pair, where the regular notation is:

P = (x, y).

Where x and y are the horizontal and vertical components.

2) Three distinct points are collinear if exists a line that passes through the 3 points.

3) Three distinct points are complanar if they are not collinear, this means that:

We can have two colinear points (so one line connects them) and another point outside that line.

Then the set of 3 points is coplanar.

Answer:

I'd say about 30 minutes away

Step-by-step explanation:

Answer:

9.62

Step-by-step explanation:

Simplify the expression.

(6.42)+(-3.2)= 9.62

The slope of the red line = 2

The y-intercept of the red line = 3

The x-intercept of the red line = -1.5

Answer:

-4

Step-by-step explanation:

8+4y= -8

4y= -8 -8

4y= -16

divide both sides by the coeffient of the variable. in this case divide both sides by 4

y=-4

Answer:

y = -4

Step-by-step explanation:

8+4y= -8

4y = -8 -8

4y = -16

y = (-16) ÷ 4

y = -4

1day-24hours-60min-0.0167seconds

miles to inches = 63360

Answer:

$3,852

Step-by-step explanation:

Total for 4th grade: 2,124

5th grade: raised 396 less

2,124-396= total amount 5th graders raised

2,124-396=1,728

2,124+1,728=3,852

They raised $3,852 dollars.

Answer: 3,852

there you go

Answer:

19531250

By divided it

Answer:

The length is 4

Step-by-step explanation:

Type in the equations into Desmos, and you will find the intersected points in the graph. Then just look at the distance between the 2 points

Answer:

AB=4

Step-by-step explanation:

1. Since you are finding the intersection points of two parabolas:

a. y=-x²+9

b. y=2x²-3

2. You have to set them equal to each other:

2x²-3= - x²+9

2x²+x=9+3

3x²=12

x²=4

This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.

√x²=±√4

x=±2

or

x=2; x=-2

3. Then you substitute them into each equation. For this step, any sign 2 will work.

a. y=-(2)²+9

y=-4+9

y=5

b. y=2(2)²-3

y=8-3

y=5

4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.

5. Now we use the distance formula:

[tex]\sqrt{(x₂-x₁)^{2} +(y₂-y₁)^{2} }[/tex]

The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.

[tex]\sqrt{(2+2)^{2} +(5-5)^{2} }[/tex]=

√16=

4

The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.

So AB=4

Answer:

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Answer:

It menas that it keeps going.

Step-by-step explanation:

If you have a line with an arrow at the end it means that the numbers keep on going. So say that you had a number line that ended at ten but there is an arrow, this means that there is more or less.

<-                              ->

10 less than ten      10, more than ten.

Answer:

0.3 or 3/10

Step-by-step explanation:

a/b = -1/4 / -5/6

=> -1/4 * -6/5

=> 6/20

=> 3/10 in simplest form.

Hope this helps, Please put me as brainliest!!

Answer:

  no

Step-by-step explanation:

Whenever a linear equation is something other than

  y = kx

the relation is not proportional.

__

Here, you have ...

  y = (9/5)x +32

The added constant ensures the relation is not proportional.

5+(-7)=-2

i hope this helps :)

Answer:

That doesn't make sense! Do you have a picture of the problem?

Step-by-step explanation:

I need more info in order to give a better, more acurate answer!

Answer:

10w+6 is the difference between the two areas

Step-by-step explanation:

for the old room:

l=2w

wich mean

 Area_old=l*w=2w*w=2w²

for the new room:

L=l+2 since l=2w => L=2w+2

W=w+4

so

Area_new=L*W=(w+4)*(2w+2)= 2w² +10w+6

the difference is :

Area_new - Area_old= 10w+6

Answer: The answer is B

Step-by-step explanation: Hope this helps xd

Answer:

[tex]L = 111[/tex]

[tex]M = 69[/tex]

Step-by-step explanation:

Given

[tex]L = 12x + 45[/tex]

[tex]M = 18x - 30[/tex]

Required

Determine L and M

Since both angles are supplementary;

[tex]L + M = 180[/tex]

Substitute values for L and M

[tex]12x + 45 + 18x - 30 = 180[/tex]

Collect Like Terms

[tex]12x + 18x= 180 - 45 + 30[/tex]

[tex]30x= 165[/tex]

Divide both sides by 30

[tex]x = \frac{165}{30}[/tex]

[tex]x = 5.5[/tex]

Substitute 5.5 for x in [tex]L = 12x + 45[/tex]  and    [tex]M = 18x - 30[/tex]

[tex]L = 12 * 5.5 + 45[/tex]

[tex]L = 111[/tex]

[tex]M = 18 * 5.5 - 30[/tex]

[tex]M = 69[/tex]

Answer:

Los números son:

43 y 165

Step-by-step explanation:

Planteamiento:

a + b = 208

a - b = 122

Desarrollo:

de la segunda ecuación del planteamiento:

a = 122 + b

sustituyendo este último valor en la primer ecuación del planteamiento:

(122+b) + b = 208

2b = 208 - 122

2b = 86

b = 86/2

b = 43

a = 122 + b

a = 122 + 43

a = 165

Comprobación:

165 + 43 = 208

165 - 43 = 122

Answer:

-14

Step-by-step explanation:

Let the number be x

[tex]2x + 18 = - 10 \\ 2x = - 28 \\ x = - 14[/tex]