Graph the line with slope 1 passing through the point (2, 4). make an actual graph. help plis ​21 point!

Answer:

a) 8cm

b) 19.8cm

Step-by-step explanation:

The key to these types of questions is to keep proportions in mind.

To solve the first question, you want to find the proportion of the smaller triangle to the bigger triangle. The length of AE is 6cm, but the length of AD is (6+4) = 10cm. So the proportion of the bigger triangle to the smaller triangle is 10/6. So to find the lengths of the sides of the bigger triangle, we want to keep this number in mind.

The BE side is parallel to CD, so we have to use length of BE multiplied by the proportion in order to get the length of CD.

CD = 4.8 * (10/6) = 8

CD = 8cm

For the second question, you use the same concept to find all the other side lengths. The only one you need left for the shape EBCD is side BC. Do the same thing you did before, take the length of the side of the smaller triangle that corresponds with side AC on the bigger triangle. In this case, it's AB, which is 4.5cm. Multiply this by 10/6 to get AC.

AC = 4.5 * (10/6) = 7.5

AC = 7.5

But we're not done. We just found the length of AC, but we need the length of BC to calculate the perimeter. To do this, we want to take the length of AC - the length of AB.

7.5 - 4.5 = 3

So the length of BC is 3cm. Now, to find the perimeter, just add all the sides of EBCD together.

4.8 + 4 + 8 + 3 = 19.8cm.

Hope this helps.

Answer:

a) CD = 8 cm

b) Perimeter of EBCD is 19.8 centimeters

Step-by-step explanation:

For this question, you can assume that ΔABE and ΔACD are similar. That's proven by BE ║ CD, but that's not directly relevant to the question so I won't explain it unless you would like me to.

In 2 similar triangles, all corresponding angles are congruent and all corresponding sides have the same scale factor.

For example, in ΔABC and ΔXYZ:

[tex]\frac{AB}{XY} =\frac{AC}{XZ} =\frac{BC}{YZ}[/tex]

Using those relationships, you can solve for any side in one triangle given the corresponding side in the other triangle.

A)

In the given triangles ΔABE and ΔACD, CD corresponds to BE, so:

[tex]\frac{CD}{BE} =\frac{AD}{AE}[/tex]

where AD is just 6 + 4 = 10.

[tex]\frac{CD}{4.8} =\frac{10}{6} \\\\\frac{CD}{4.8} =1.6667\\\\CD=8[/tex]

CD = 8cm

B)

Doing the same thing as above, now find the length of AC:

[tex]\frac{AC}{AB} =\frac{AD}{AE} \\\\\frac{AC}{4.5} =\frac{10}{6}\\\\\frac{AC}{4.5} =1.6667\\\\AC=7.5[/tex]

Now, to find BC:

[tex]BC=AC-AB\\BC=7.5-4.5\\BC=3[/tex]

Finally, add up the sides to find the perimeter of EBCD:

[tex]4.8+3+8+4\\19.8[/tex]

Perimeter of EBCD is 19.8 centimeters

Answer:

She needs 16 tables because 40 divided by 6= 8 thne you would do the amout of people and the tables so you would do 125 divided by 8 and you would get 15.625 and if you round it you get 16

Answer:

either A or D

Step-by-step explanation:

Answer:

5x-15=x+13

Step-by-step explanation:

I don't know which equation you want me to simplify, so I assume it is, 5(x – 3) = x + 13?

[tex]\\ \sf\longmapsto sin10°-cos10°[/tex]

[tex]\\ \sf\longmapsto sin(90-10°)-cos10°[/tex]

[tex]\\ \sf\longmapsto cos10-cos10[/tex]

[tex]\\ \sf\longmapsto 0[/tex]

Answer:

Step-by-step explanation:

If two triangles are congruent, then the corresponding sides and angles are congruent with each other.

Given:

The following are congruent parts:

Note Pay attention to order of vertices when comparing the congruent parts

[tex]\\ \sf\longmapsto <E\cong <U[/tex]

[tex]\\ \sf\longmapsto \overline{RE}=\overline{SU}[/tex]

[tex]\\ \sf\longmapsto ∆DRE=∆SUN[/tex]

[tex]\\ \sf\longmapsto <R\cong <S[/tex]

Hope it helps

Answer:

6 apples

Step-by-step explanation:

A = 0.25

P = 0.15

----------------

A + P = 10

0.25A+0.15P=2.10

----------------

I did this: 0.25*10 = 2.50

2.50-2.10=.40

0.25-0.15=0.10

0.40/0.10 = 4 so 4 peaches

10 fruits - 4 peaches = 6 apples

Answer:

Smallest Angle : 10 degrees

Middle Angle : 30 degrees

Biggest Angle : 50 degrees

Step-by-step explanation:

3x+5x+x=90, 9x=90, x=10

Smallest Angle : 10 degrees

Middle Angle : 30 degrees

Biggest Angle : 50 degrees

Answer:

I believe the graphing should look like this.

Step-by-step explanation:

Answer:

y-3=5/8(x-9)

Step-by-step explanation:

First, we can find the slope using the slope formula : -7-3/-7-9 = -10/-16 = 5/8

Now we can just plug in a point into point slope form

y-3=5/8(x-9)

Answer:

[tex]m=\frac{2}{3}[/tex]

Step-by-step explanation:

We can see that some of the points that are plotted we can tell what those plots are (-2, 0) (1, 2) (4, 4)

We use the slope formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]  for any of the two plots that are shown on the line

Answer:

2/3

Step-by-step explanation:

Answer:

3.14 x 10,000 equals 31,400

Step-by-step explanation:

Answer:

31415.9

Step-by-step explanation:

yeah-ya............. right?

Answer:

765 students

Step-by-step explanation:

x- total number of students

20% of x=153

20/100=153/x

20x=15300

x=765

Therefore, 765 students

The total number of RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME is, 765.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

According to the given information, 20% of RSM AMC 10 participants were invited to compete in AIME.

If 20% of students are 153 then 100% of RSM students participate in AMC10 is given as;

x be the total number of students

Therefore,

20% of x=153

20/100=153/x

20x=15300

x=765

Therefore, 765 students.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ3

Answer:

(x-5)(x-5)

Step-by-step explanation:

x^2 factors into two binomials, the square root of 25 is 5 (-5*-5=25), -5+-5=-10, think of the big and the little equal the middle to help deal with these types of problems. hope I have helped.

Answer:

x+5^3

Step-by-step explanation:

Let x be the number

cubed is raised to the third power

x+5^3

Given that f(x) is a function that represents number of hours required to travel, the domain of the function is: distance travelled in miles (x)

Recall:

Thus, given that f(x) is a function that represents number of hours required to travel, therefore:

Learn more about domain of a function on:

https://brainly.com/question/10197594

Answer:

$17.43

Step-by-step explanation:

30% of 24.9 is 7.47, subtract 7.47 from 24.9 and you get 17.43

Answer:

your answer would be 9

Step-by-step explanation:

please mark this as brainlists

Answer:

9

Step-by-step explanation:

Because you do subtract 3 on both sides then divide 5x by 5 and 45 by 5

Answer:

luna

Step-by-step explanation:

compare the y values when x=0. looking at the table, gracey was 1 lb at week 0, and looking at the graph, Luna was 2 lbs at week 0 (y-intercept) so luna was heavier at birth

Answer:

Well we can make a proportion in this scenario

So 3 cups of soda to 5 cups of punch

And how much soda for 18 punch.

Well we can do this

make “x” the amount of soda

And then make a proportion

3/5 = x/ 18

Now solve

You can cross multiply

54=5x

x=10.8

10.8 soda

Answer:

the answer is 2,430

Step-by-step explanation:

5×486=N

=2,430

Explanation:

This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is

long = short*sqrt(3)

We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse

hypotenuse = short*2

It can be deduced that the price of the trick cameras will be $5 and the price of the snakes will be $6.25.

Based on the information given, the equation to solve the question will be:

3x + 4y = 40 ...... i

7x + 8y = 85 ...... ii

Multiply equation i by 7

Multiply equation ii by 3

21x + 28y = 280

21x + 24y = 255

Subtract the equations

4y = 25

y = 25/4 = 6.25

Since 3x + 4y = 40

3x + 4(6.25) = 40

3x + 25 = 40

3x = 40 - 25.

3x = 15

x = 15/3 = 5

Therefore, the price of the trick cameras will be $5 and the price of the snakes will be $6.25.

Read related link on:

https://brainly.com/question/25771535

Answer:

give me more information on this

Answer:

the answer is d to the problem

Answer:

60 / 300 simplified 6/30 simplified 1/5 (20%)

Step-by-step explanation:

Maybe asking ratio?

Answer:

Quadrant 3

Step-by-step explanation:

3rd quadrant. because both x and y are negative

Answer:

x=3

Step-by-step explanation:

The equation is x² + 5x = 24, so 3² +15 would be the perfect match. This is because 9+15=24.