The perimeter of a rectangle is 52 feet. The length is 2 more than twice the width. What is the length of the rectangle?

Answer:

Step-by-step explanation:

You can get y and x immediately. z is a bit tricky.

x

The other two angles of a triangle containing x are 100 and 60.

x + 100 + 60 = 180          Add the two terms on the left

x + 160 = 180                  Subtract 160 from 180

x = 180 - 160                   Combine the right

x = 20

y

y is done exactly the same way.

55 + 80  + y  = 180

135  + y =  180

y = 180 - 135

y = 45

z

You have x y and z all in the same triangle.  You know x and y so z can be found in much the same way.

x + y + z = 180

20 + 45 + z = 180

65 + z = 180

z = 180 - 65

z = 115

Answer: x = 20

              y = 45

              z = 115

Step-by-step explanation:

There is one unknown variable in both triangles with known angles.  To find the values of x, y, and z, add both the known angles and subract it from 180 degrees.  The result will be the value of the variable.  When you have both the values of x and y, do the same math to find the value of z.

Step 1: Find the value of x

Add the values of the two known angles in this traingle and subtract it from 180°

80 + 55 = 135

180 - 135 = 45

45° is the value of x

Step 2: Find the value of y

Add the values of the two known angles in this traingle and subtract it from 180°

100 + 60 = 160

180 - 160 = 20

20° is the value of y

Step 3: Find the values of z

Add the values of x and y and subtract it from 180°

45 + 20 = 65

180 - 65 = 115

115° is the value of z

Answer:

y = 2x + 10

Step-by-step explanation:

The rate is 2 and the y coordinate starts at 10. You use the y = mx + b formula

Answer:

B

Step-by-step explanation:

the 0.1 is rate of change decreasing and 10.1 is original amount

Answer:

f(-2) = -40

Step-by-step explanation:

f(x) = 2(x - 3) • 4

Plug in -2 for x.

f(-2) = 2(-2 - 3) • 4

Follow PEMDAS

f(-2) = 2(-5) • 4

f(-2) = -10 • 4

f(-2) = -40

Answer:

[tex]f(x) = 2(x - 3) \times 4 \\ f(x) = 8(x - 3) \\ f( - 2) = 8( - 2 - 3) \\ f( - 2) = 8 \times ( - 5) \\ \boxed{f( - 2) = - 40}[/tex]

Answer:

30

Step-by-step explanation:

Answer:

The measure of the angle is 150°, the measure of its supplementary is 30°

Step-by-step explanation:

The given parameters are;

The measure of the given angle = 5 × The measure of its supplementary angle

Let "x" represent the given angle, and let "y" represent its supplementary angle, we have;

x = 5 × y...(1)

x + y = 180°...(2)

By substituting the value of x = 5 × y, from the first equation into the second equation, we have;

x + y = 180°

x + y = 5 × y + y = 5·y +  y = 6·y = 180°

y = 180°/6 = 30°

y = 30°

x = 5 × y = 5 × 30° = 150°

x = 150°

The measure of the angle = x = 150°, the measure of its supplementary = y = 30°.

Answer:

Step-by-step explanation:

∠7 = 180 - 90

∠7 = 90°

see image below

Answer:

90°

Step-by-step explanation:

angle 7 is supplementary to the angle next to itself which has a measurement of 90° and since the sum of two supplementary angle would be 180° we can say that m<7 = 90° as well

Answer:

1=true

2=false

3=false

4=true

5=true

6=false

Step-by-step explanation:

hope this helps!:)

Answer:

60 and

x=4

Step-by-step explanation:

Answer:

24

Step-by-step explanation: We have to find out how much centimeters of tape we need to wrap one present, so you have to divide 12 by 3=4

so you need 4 centimeters of tape to wrap one present. Now we have to find out how much tape we need for 6 presents, so we do 4x6=24.

Answer:

D) Quadrant 3

Step-by-step explanation:

ok so lets get a random point and try it out i see -10 is a big number so i will use R and see where it is and then t

R(-8,3) so add 2 to x and minus 10 y

R'(-6,-7)

Now t

T(-4,9)

(+2,-10)

T'(2,-1)

It is Quadrant 3

If RSTU is translated by the rule (x, y) ⇒ (x + 2, y - 10) the image R'S'T'U be located at the D. Third quadrant.

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

From the given diagram, the coordinate of the vertex(T) is (- 4, 10).

Let, T' be the vertex when the quadrilateral is translated by the rule

(x, y) ⇒ (x + 2, y - 10).

Therefore, The translated coordinate of the vertex(T') is,

(- 4 + 2, 10 - 10).

= (- 2, 0).

So, The quadrilateral will lie in the third quadrant.

learn more about quadrilaterals here :

https://brainly.com/question/29934440

#SPJ2

Answer:

ok, what grade level? and you need to actually type the questions into here

I'll help because your pfp proves that you are indeed a classy individual

So.... using the point-slope formula

y-y₁=m(x-x₁)

y₁ is the y-coordinate

x₁ is x-coordinate

m is the slope

when we find the slope from both points we find that they both have a slope of 16/3

therefore... the lines are parallel

Answer:

Distributive Property

Step-by-step explanation:

Brainliest Please!

9514 1404 393

Answer:

  2a. 0.7, 0.3, -0.1, -0.5, -0.9

  2b. 1, 3, 9, 27, 81

  3a. geometric; r = 1/5

  3b. arithmetic; d = -9

  4. 234

  5. 1/32

Step-by-step explanation:

2a. Start with the first term and add the common difference to get the next term.

  0.7

  0.7 -0.4 = 0.3

  0.3 -0.4 = -0.1

  -0.1 -0.4 = -0.5

  -0.5 -0.4 = -0.9

The first 5 terms are 0.7, 0.3, -0.1, -0.5, -0.9.

__

2b. Start with the first term and multiply by the common ratio to get the next term.

The first 5 terms are 1, 3, 9, 27, 81.

__

3a. Obviously, the difference between 40 and 8 is not the same as the difference between 8 and 1.6. So, we look to see if the ratios are the same. They are:

  8/40 = 1.6/8 = 1/5

This is a geometric sequence with a common ratio of 1/5.

__

3b. If the sign changes, but does not alternate, it cannot be a geometric sequence. The common difference is ...

  -5 -4 = -14 -(-5) = -9

This is an arithmetic sequence with a common difference of -9.

__

4. Use n=50 and evaluate.

  [tex]a_{50}=-11+5(50-1)=\boxed{234}[/tex]

__

5. Use n=7 and evaluate.

  [tex]g_7=2\cdot\left(\dfrac{1}{2}\right)^{7-1}=\dfrac{2}{2^6}=\dfrac{1}{2^5}=\boxed{\dfrac{1}{32}}[/tex]

Answer:

B.x= -4 and E. x= 10 are the answers

Answer:mutiply not sure

Step-by-step explanation:

Answer:

B, C, D, F, H, J, K

Step-by-step explanation:

all those that I put are right I promise

hope this helped

Answer:

ABC = DEF

CBA = FED

B = E

C = F

A = D

AB = ED (actually, AB = DE ;w;)

AC = DF

CB = FE

Step-by-step explanation:

Answer:

i think 15 kid and 18 aduits

Step-by-step explanation:

Answer:

800 children’s ticket were sold and 400 adult tickets were sold

Step-by-step explanation: using elimination

variables-

amount of children’s ticket sold: C

amount of adult tickets sold: A

equations-

A+C=1200

5A+11C=10,800

solving-

(A+C=1200) -5 —> -5A-5C=-6000

5A+11C= 10,800

use elimination on those two equation and you get C=800, A=400.

to check you plug in the numbers into one of the equations, doesn’t matter which one.

Answer: the answer would be X E R

Step-by-step explanation:

Answer: x = 3. the length of side ST is 14.

Step-by-step explanation:

Since both sides are equal, we can use the equation 3x + 5 = 5x - 1.

To start the problem, we subtract 3x from each side which makes our equation 5 = 2x - 1.

The next step would be to simplify the equation by adding 1 to each side which makes our equation 6 = 2x.

We then need to simplify the equation to x = 3.

This means the answer to 9 is x = 3.

For the next problem, since we already know the value of x, we substitute its value which in this case would be 3. This leaves us with an equation of 9 + 5, which equals 14.

This means the length of side ST is 14.

Answer:

1. Zero Slope

2. Negative Slope

3. Negative Slope

4. Undefined Slope

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Step-by-step explanation:

When x = 0,

sin3x / 6x = 0 / 0, which is an indeterminate form.

Hence we use L'Hospital's rule:

d/dx (sin3x) = 3cos3x

d/dx (6x) = 6

Now we have 3cos3x / 6 or 0.5cos3x.

When x = 0, 0.5cos3x = 0.5(1) = 0.5.

Hence the limit is 0.5.

Using limits, it is found that the value of the function is of 0.5.

The limit given is:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x}[/tex]

The following property is used:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(ax)}}{ax} = 1[/tex]

Hence, multiplying the numerator and denominator by 0.5:

[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x} = 0.5\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{3x} = 0.5(1) = 0.5[/tex]

The value of the function is of 0.5.

To learn more about limits, you can take a look at https://brainly.com/question/24482719

Answer: orchard B

Step-by-step explanation: (orchard A) if you were to only bring the 12 students, the cost would be $108. But since it requires 3 chaperones you’d add 3 to the already 12 students making the full cost $135.

(Orchard B) if you were take only the 12 kids to the orchard it would cost you $120 but because it requires ONLY 1 chaperone, the final cost would be $130. allowing it to be $5 dollars less than what Orchard A would cost.

Answer:

B

Step-by-step explanation:

pls mark brainliest

Answer:

its B)-9

Explain-9,-2,5,12 its increasing by seven

Answer:

[tex]3 \frac{1}{3}[/tex], or 10/3

Step-by-step explanation:

4/3 ÷ 2/5 = 4/3 × 5/2 = 20/6 = [tex]3 \frac{2}{6} = 3\frac{1}{3}[/tex]

Answer:

3 1/3

Step-by-step explanation:

When we divide two fractions, such as 4/3 ÷ 2/5, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

So first we will change 2/5 into its reciprocal, in simple words what fraction is it when its flipped over, 5/2 right? So now we change the division into multiplication, you may or may not have heard this phrase:

Keep, Change, Flip

so now our equation looks like this:

4/3 (5/2)

In a multiplication problem it dosent matter if the denominators are the same so we just straight up multiply, which gives us 20/6. We can still simplify this by 2, so 20 divided by 2 is 10, and 6 divided by 2 is 3, so our new fraction is 10/3, now we can simplify it again to make it proper, so its 10 divided by 3, the numerator goes inside and the denominator goes outside, this gives us 3r1, the denominator (the outside number) will becomes the mixed number, the remainder will become the numerator, and the answer will become the denominator, which gives us our final answer of:

3 1/3

Answer:

78.151 (approximately)

Step-by-step explanation:

To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r²

=140/360×π×8²

=7/18×3.41×64

=7/18×157/50×64

=7/9×157/50×32

=7/9×157/25×16

=17584/225

=78.151 (approximately)

Answer:

-123

Step-by-step explanation:

Given that k=14 and d=5 we can substitute d and k for their actual values. -5(5)-7(14).

-5*5=-25.

-7*14=-98.

-25-98=-123.

You can use this method to solve other problems in the future hope you find this helpful. : )

Answer:

12 Pints

Step-by-step explanation:

There are 8 pints (pt) in 1 gallon (gal). This means that 1 pint equals 1/8 gallon.

1.5 x 8

=12

Answer:

92º

Step-by-step explanation:

(2x-2)º=x+45º

2x-2=x+45

2x-x=45+2

x=47

____________

22x-2=2(47)-2=92º