1. Solve the system of equations: 4x-y=14 and x=y+2
O (4,2)
O (2,4)
O (6,2)
0 (2,6)

9514 1404 393

Answer:

  3. ΔBEA ~ ΔBCD by AA

  4. ΔPXY ~ ΔPQR by SSS

Step-by-step explanation:

3. The missing angle in ΔBEA is angle E, which has measure ...

  ∠E = 180° -42° -53° = 85°

So, angle E matches angle C, and the vertical angles match. The two triangles are similar by AA. The corresponding angles are B:B, and E:C, so the similarity statement needs to reflect that: ΔBEA ~ ΔBCD.

__

4. Shortest-to-longest, the side ratios of the two triangles are ...

  12 : 15 : 18 = 4 : 5 : 6

and

  16 : 20 : 24 = 4 : 5 : 6

Side ratios are proportional, so the triangles are similar by SSS. The similarity statement can reflect the same ordering: ΔPXY ~ ΔPQR.

Answer:

Radius = 12

Step-by-step explanation:

For an inscribed circle of a triangle ABC,

GE = GF = GD = radius of the inscribed circle

Therefore, (-3y + 18) = (5y + 2)

-3y + 18 - 5y = 5y + 2 - 5y

-8y + 18 = 2

-8y + 18 - 18 = 2 - 18

-8y = -16

8y = 16

[tex]\frac{8y}{8}=\frac{16}{8}[/tex]

y = 2

Therefore, GE = -3y + 18

                       = -3(2) + 18

                       = -6 + 18

                       = 12

Radius of the inscribed circle = GE = 12 units

The measure of the radius of the inscribed circle is 12 units

From the given diagram, GE = GF

Given the following parameters:

GE = -3y + 18 and:

GF = 5y + 2

Equating both expressions

-3y + 18 = 5y + 2

-3y - 5y = 2 - 18

-8y = -16

y = 16/8

y = 2

The measure of the radius of the inscribed circle is GE

GE = -3y  + 18

GE = -3(2) + 18

GE = -6 + 18

GE = 12 units

Hence the measure of the radius of the inscribed circle is 12 units

Learn more on centroid here: https://brainly.com/question/25845737

Answer:

Any from 1 to 12

Step-by-step explanation:

Answer:

7:08

Step-by-step explanation:

It's been awhile since I've done this but I think that D is the answer hope this helps

Aquesta pregunta és incompleta

Pregunta completa

Una caixa plena de raïm pesa 21 quilos. Si el raïm d’allà pesa 1.9 quilos, quant pesa la caixa buida

Answer:

7.6 quilograms

Step-by-step explanation:

Pas 1

Convertim el pes de la caixa completa de raïm a quilograms

1 lliura = 0.454 quilograms

21 lliures = x

Creu Multiplicar

x = 21 × 0.454 quilograms

x = 9.52544 quilograms

Aproximadament 9.5 quilograms

Ens van dir que el raïm d’allà pesava 1.9 quilos,

Per tant, el pes de la caixa buida és

= 9.5 - 1.9

= 7.6 quilograms

El pes de la caixa buida és de 7.6 quilograms

Answer:

C

Step-by-step explanation:

97.62+22.95+14.78=135.35

135.35*.07

9.4745

Rounded to 9.47

Answer:

yes you have to use PEMDAS

Step-by-step explanation:

9514 1404 393

Explanation:

There are several possible properties in each case. We have shown one of them.

a) squares and rectangles have four (4) angles of 90°.

b) squares have sides of equal length; rectangles may not.

c) rhombi and squares have diagonals that bisect each other at right angles

d) rhombi have sides of equal length; parallelograms may not.

e) opposite sides of all parallelograms are equal length.

Answer:

rip

Step-by-step explanation:

here lies the person who got killed by there mom bc she didnt figuar out what 2+2= she relly thought it was five

Answer:

9) 60 artists

10) 27 black shoes

11) Alexandra is wrong, 30% of 60 and 60% of 30 are equivalent, they both equal 18.

12) 96 dogs

13) 125 students

14) 600 students

15) 50 tulips

16) 70 cars

17) The percent that Rory uses has to be greater than 100.

Answer:

w =20.3

Step-by-step explanation:

i hope this helps you sorry i was late for your last question.

Answer:

w=20.3

Step-by-step explanation:

Answer:

1 : 3

Step-by-step explanation:

Total members = 12

No. of Males = 8

No. of Females = 12 - 8 = 4

Ratio of the number of females and the total numbers of members = 4/12 = 1/3 = 1 : 3

Answer:

angle 1= agle 2 corresponding ang 3+2 linear pair ang m1=n3 hence angle 1=angle 3

Answer:

Harry has a score of 30

Step-by-step explanation:

Let us represent their scores as:

Nathan = x

Harry = y

Jack = z

At the end of a football season a coach is adding up everyone's scores

Nathan has scored 11 more than harry

x = y + 11

Harry has scored 10 more then jack.

y = z + 10

z = y - 10

If the total of their scores is 91

x + y+ z = 91

y + 11 + y + y - 10 = 91

3y + 1 = 91

3y = 91 - 1

3y = 90

y = 90/3

y = 30

Since Harry's score is represented as y, Harry has a score of 30

Answer:6.8

or x = 102/15

step by step explanation:

30x=204

204/30

Answer:

The value of x is 50

The measures of the 3 angles are 50°, 100°, 30°

Step-by-step explanation:

Let us solve the question

∵ The sum of the measures of the angles of a triangle is 180°

∵ The measures of the 3 angles of the given Δ are x°, 2x°, (x - 20)°

→ Add them and equate the sum by 180

∴ x° + 2x° + (x - 20)° = 180°

→ Add the like terms

∵ (x + 2x + x) + (-20) = 180

∴ 4x - 20 = 180

→ Add 20 to both sides

∵ 4x - 20 + 20 = 180 + 20

∴ 4x = 200

→ Divide both sides by 4 to find x

∴ x = 50

∴ The value of x is 50

To find the measures of the 3 angles substitute x by 50 in their expressions

∵ The measure of one angle is x

∴ The measure of the 1st angle is 50°

∵ The measure of the 2nd angle is 2x

∴ The measure of the 2nd angle = 2(50)

∴ The measure of the 2nd angle is 100°

∵ The measure of the 3rd angle is (x - 20)

∴ The measure of the 3rd angle = (50 - 20)

∴ The measure of the 3rd angle is 30°

∴ The measures of the 3 angles are 50°, 100°, 30°

Answer:

(y+1)^3

Step-by-step explanation:

power 5 is subtracted by power 2 as our rule says that powers when divided have to be subtracted. Hence the above mentioned ans comes.

Hope this helps you

Answer:

(y + 1)³

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]

Given

[tex]\frac{(y+1)^5}{(y+1)^2}[/tex] ← with a = (y + 1 ) , then

= [tex](y+1)^{(5-2)}[/tex]

= (y + 1)³

Answer:

13.

Step-by-step explanation:

If she misses 8 on the first and 5 on the next, you need to add to find the total number of points missed overall. 8 + 5 = 13. Therefore, she missed 13 points on the first two tests.

Answer:

36 Vacuum sets

Step-by-step explanation:

Calculation for How many vacuum sets are required for a complete display.

Using this formula

Numbers of required vacuum sets=Models* Choices of colors*Accessory packages

Let plug in the formula

Numbers of required vacuum sets=2*3*6

Numbers of required vacuum sets=36 vacuum sets

Therefore the vacuum sets that are required for a complete display is 36 vacuum sets

Answer:

ur answer is 4 hope it helps

Answer:

My answer

Step-by-step explanation:

First you convert it and it is 0.06 m. This is because

Conversion factor: 1 m = 100 cm

1) m = cm / 100

2) m = 6 / 100

3) m = 0.06

Then you do the error interval. Error interval – the range of values (between the upper and lower bounds) in which the precise value could be. Thn you caculate it by when you do this x2 then do <. For example 5>3. The do that there now you should have the answer. Dont frget put L in frount of 0.06 x2. Thank you. Hoped this helped! :)

Answer:

a = 1, b = - 12

Step-by-step explanation:

we know that x = 3 and x = - 4, so (x - 3) and (x + 4) must be the factors of the equation:

(x - 3)(x + 4)

x^2 + - 3x + 4x - 12

x^2 + x - 12

therefore a = 1 and b = - 12

Step-by-step explanation:

firstly substitute x=3 into [tex]x^{2} +ax+b=0[/tex]

[tex]3^{2} +3a+b=0[/tex]

9+3a+b = 0

          b = -3a-9

secondly substitute x=-4 into [tex]x^{2} +ax+b=0[/tex]

[tex](-4)^{2} +(-4)a+b=0[/tex]

16-4a+b = 0

          b = 4a-16

combine the equations above,

-3a-9 = b = 4a-16

so -3a-9 = 4a-16

     7a = 7

       a = 1

then substitute a = 1 into b = 4a-16 or b = -3a-9 (both are ok)

b = 4(1)-16 = -12     or        b = -3(1)-9 = -12

Answer:

1/3 + n

Step-by-step explanation:

Let "n" be any number. Keep in mind that plus means addition.

1/3 + n

Best of Luck!

Answer:

n + 1/3n

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x[/tex]

The table is:

x:   200     400       600     800     1000

y:    10        20          30        40       50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x[/tex]

The table is:

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

Answer:

-5

Step-by-step explanation:

Answer: C. g(x) = 1/2(3)^-x

Step-by-step explanation: IT ISNT D

This is also my 900th answer! :)

The reflection of the given function [tex]f(x)=\frac{1}{2}(3)^x[/tex] over the y-axis [tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]

"It is a mirror image of the shape or graph of a function. "

For given question,

We have been given a function [tex]f(x)=\frac{1}{2}(3)^x[/tex]

We know that

A reflection over the y-axis interchanges positive x-values with negative x-values, swapping x and -x.

The reflection of the given function over the y-axis will be equal to

(Remember interchanges positive x-values with negative  x-values)

[tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]

Therefore, the reflection of the given function [tex]f(x)=\frac{1}{2}(3)^x[/tex] over the y-axis [tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]

Learn more about the reflection of function here:

https://brainly.com/question/13206012

#SPJ2

Answer: 21 Full days

Step-by-step explanation:

Divide 3.5 by 75

Answer:

22

Step-by-step explanation:

You divide the number of miles by the miles per day and you get 21.43 and it says whole days so you have to round up to 22 days.

Answer:

Cereal B

Step-by-step explanation:

You need to divide the price by its ounces to find the price per ounce.

Cereal A is 3.96/18= 0.22 per ounce

Cereal B is 4.80/24= 0.20 per ounce

This shows that cereal B is cheaper per ounce