if the scale factor of figure a to figure b is 4:5, find the value of x.

i’m not sure if it’s correct

Answer:

m∠1 is 49° and m∠3 is 49°

Step-by-step explanation:

In the given figure

∵ There are 2 parallel lines

∵ A transversal cuts them

∴ ∠4 and ∠8 are corresponding angles

→ Corresponding angles are equal in measures

∴ m∠4 = m∠8

∵ m∠8 = 131°

∴ m∠4 = 131°

∵ ∠1 and ∠4 formed a pair of linear angle

∵ The sum of the measures of the linear angles is 180°

∴ m∠1 + m∠4 = 180°

→ Substitute ∠4 by 131°

∴ m∠1 + 131° = 180°

→ Subtract 131 from both sides

∵ m∠1 + 131 - 131 = 180 - 131

∴ m∠1 = 49°

∵ ∠1 and ∠3 are vertically opposite angles

∴ m∠1 = m∠3

∵ m∠1 = 49°

∴ m∠3 = 49°

Answer:

hmm your answer would be 4

Step-by-step explanation:

2+2=4

Answer:

2 plus 2 is 4 because that is the answer so yeah

Answer:

it is equivalent

Step-by-step explanation:

6(c+6)

6c+6

Answer:

It would take him 4 days.

Step-by-step explanation:

For graphing get your paper. the line numbers you would go by ones on the x axis and ones on the y axis. Put a dot at (0,0) the go up 1, and to the right twice. do this over and over again until you can't see any more points. then make a line with the points

Answer:

80 students

Step-by-step explanation:

400/80%=320

400-320=80

Answer:

The average speed of the train = 30 miles per hour

Step-by-step explanation:

Given

To determine

what is its average speed?

The average speed of the train can be calculated using the formula

Average Speed = Total Distance / Total time

                           =  270 / 9

                           = 30 miles per hour

Therefore, the average speed of the train = 30 miles per hour

Answer:

The slope of the line is 2.

Step-by-step explanation:

you can simply do this by using the method rise/run. You count how much it takes to get from one point to the other. Go Upwards twice and to the right once which gives you 2/1 which is 2.

Step-by-step explanation:

Answer:

a. 7-n

Step-by-step explanation:

1. Write the number form for the difference of 7 and n.

= 7 - n

a. 7-n

2. The expression for the sum of g and 34

= g + 34

3. The expression for the quotient of 5 and y.

= 5/y

b. 5 / y

4. The expression for the product of 8 and t.

= 8 × t

= 8t

C. 8 x t

5. The expression for the sum of y and 6

= y + 6

d. y+ 6

6. The expression for the difference of z and 5.​

= z - 5

Answer: 1

−x+2y=−5;3x−2y=−1

Step: Solve−x+2y=−5for x:

−x+2y=−5

−x+2y+−2y=−5+−2y(Add -2y to both sides)

−x=−2y−5

−x

−1

=

−2y−5

−1

(Divide both sides by -1)

x=2y+5

Step: Substitute2y+5forxin3x−2y=−1:

3x−2y=−1

3(2y+5)−2y=−1

4y+15=−1(Simplify both sides of the equation)

4y+15+−15=−1+−15(Add -15 to both sides)

4y=−16

4y

4

=

−16

4

(Divide both sides by 4)

y=−4

Step: Substitute−4foryinx=2y+5:

x=2y+5

x=(2)(−4)+5

x=−3(Simplify both sides of the equation)

Answer:

x=−3 and y=−4

Step-by-step explanation:

Answer:

I would say 21 sorry if it was wrong

Step-by-step explanation:

3 x 3 is 9.

4 x 3 is 12.

9+12 is 21.

Answer:

Step-by-step explanation:

Required relationship:

Answer:

-4/5

Step-by-step explanation:

Answer:

The height of the tree is 19.81 m

Step-by-step explanation:

Trigonometric Ratios

The ratios between the sides of a right triangle are called trigonometric ratios.

If any of the acute angles is chosen as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The image shows a right triangle with a tree and the ground forming a right angle and an elevation angle of 33°.

This angle of 33° has a side of 30.5 m as its adjacent leg and the height of the tree X as the opposite side.

The trigonometric ratio that relates both legs is the tangent:

[tex]\displaystyle \tan 33^\circ=\frac{X}{30.5}[/tex]

Solving for X

[tex]X=30.5\cdot \tan 33^\circ[/tex]

Using a calculator:

X = 19.81 m

The height of the tree is 19.81 m

Answer: See explanation

Step-by-step explanation:

Slope = 4 - 3 / 0 - (-4) = 1/4

Slope = 1/4

Point slope form: y - y₁ = m (x - x₁)

y₁ = 3

x₁ = -4

y - 3 = 1/4 ( x - [-4])

y - 3 = 1/4 (x + 4)

y - 3 = 1/4x + 1

Add 3 to both sides

y = 1/4x + 4

Standard Form: Ax + By = C

Point slope form- y = 1/4x + 4

Standard form:

y = 1/4x + 4

Subtract 1/4x from both sides

-1/4x + y = 4      or   1/4x - y = -4

Slope intercept form: y = mx + b

m = 1/4

y-intercept = 4

y = 1/4x + 4

Hope this helped!

Answer:

Step-by-step explanation: y= x -2 i hope this helps

Answer:

x + y = 36.....Equation 1

x = 7 + 2y...... Equation 2

Step-by-step explanation:

Let the number of:

Orange goldfish = x

Black gold fish = y

Anna has a total of 36 goldfish in her aquarium, some are orange and some are black.

x + y = 36.....Equation 1

The number of orange goldfish is 7 more than twice the number of black goldfish.

x = 7 + 2y...... Equation 2

We can rewrite this as:

x - 2y = 7..... Equation 2

The system of equations below that can be used to describe the number of black and orange goldfish in Anna's aquarium is :

x + y = 36.....Equation 1

x = 7 + 2y...... Equation 2

I think it’s

X + y= 36

X - 2y= 7

I hope this helps you have a good day

Answer:

5p-5

Step-by-step explanation:

Answer:

by phythagoras theorem

(c+b)^2=(8)^2+(6)^2

(b+c)^2=64+36

(b+c)^2=100

b+c=√100

b+c=10.

by phythagoras theorem

(8)^2=(a)^2+(b)^2

64-b^2=a^2. {1}

by phythagoras theorem

(6)^2=(a)^2+(c)^2

36-c^2=a^2. {2}

In equation 1 and 2,

64-b^2=36-c^2

64-36= -c^2+b^2

28= b^2-c^2

28=(b+c)(b-c)

28=10(b-c)

b-c=28/10

b-c=2.8.

b+c=10

b-c=2.8

subtract both equations

c=3.6

option A is correct.

Answer:

4z+3z or 7z

Step-by-step explanation:

have a great day! (Btw when there are numbers with -(-, change it to an addition sign

Answer:

7z

Step-by-step explanation:

4z−−3z

=4z−−3z

=4z+3z

=z+z+z+z+z+z+z

=7z

Answer:

C the tree grew 6 inches in 2 months

hope it helps and have a wonderful day

Answer:

6

Step-by-step explanation:

slope = delta y / delta x = 26 - (-10) / 21 - 15

= 36 / 6 = 6

Answer:

6

Step-by-step explanation:

yw

Answer:

0. If it's a horizontal line, then the slope if automatically 0. if the line went straight up the slope would be "no slope" or "unidentified" your problem has a horizontal line so the slope is 0