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Parallel lines a and b are cut by the transversal t. Explain how transformations can be used to show that angle 4 congruent is to angle 8 and angle 4 is congruent to angle 5

Answer:

BC= 24, DE= 15

Step-by-step explanation:

You can use the Pythagroean theorem which is a^2+b^2=c^2.

So AC is the hypotenuse, so a^2+10^2=26^2=a^2+100=676. Subtract 100, a^2=576. Then take the square root of 576 which is 24.

EC is the hypothenuse for triangle EDC, so a^2+36^2=39^2, a^2+1296=1521. Then subtract to 1296 to get 225. Then take the square root which is 15.

Answer:

114.6 meters tall

Step-by-step explanation:

If you draw out the poles and shadows, you can connect the end of the shadow to the top of the pole. This creates two traingles that are proportional. This allows you to set up the proportion:

3.2 m / 1.18 m = x / 42.25 m

You can then cross multiple and get:

1.18x = (3.2)(42.25)

1.18x = 135.2

You can then divide and solve for x.

x = 114.6 m

X is a variable for the height of the taller pole, so you can simply add units and thats the height.

Answer:

11

Step-by-step explanation:

42 is also the degree for x so 42+42=84

there are 360 total degrees in a parallelogram

360-84=276

276 is divided by 2 as y and w are the same degrees

138 + 5 to find x and that is 143

143/13 is 11

Answer:

C

Step-by-step explanation:

Answer:

17,900 mg

Step-by-step explanation:

I took the k12 test today

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's find the unit rate (r) ~

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{y 2 - y1}{x2 - x1} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{50 - 0}{1 - 0} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = {50 }{} \: mph[/tex]

Take two points

Slope:-

Answer:

7m

Step-by-step explanation:

The length is 3.5 cm

Since teh scale is 1 cm = 2m

3.5 cm = 2(3.5) m

3.5 cm = 7 m

Therefore our answer is 7m

Answer:

7m

Step-by-step explanation:

i multiplied both sides by 2

because

1cm = 2m so 2 divided by 1 is 2

2.5 times 2 is 5m

3.5 times 2 is 7m

actual area is

5 times 7 which is =

35m^2

Answer:

1427

Step-by-step explanation:

a) h = 12 ft, b) h = - 0.5 · (d - 6) · (d + 4), c) d₁ = 6, d₂ = -4, d) 6 ft, e) Please see the image attached below for further details.

An object is under a parabolical motion, when it has a horizontal motion at constant velocity and a vertical motion uniformly accelerated by gravity and effects from air viscosity are neglected. In this case, the trajectory is described by second order polynomial (quadratic function).

a) The height of the cliff is found by evaluating the function at d = 0:

h = - 0.5 · 0² + 0 + 12

h = 12 ft

The initial height of the cliff is 12 feet. [tex]\blacksquare[/tex]

b) The intercept form of the quadratic function is found by algebraic procedures:

h = - 0.5 · d² + d + 12

h = - 0.5 · (d² - 2 · d - 24)

h = - 0.5 · (d - 6) · (d + 4)

The relation in intercept form is h = - 0.5 · (d - 6) · (d + 4). [tex]\blacksquare[/tex]

c) The zeros of the relation are d₁ = 6 and d₂ = -4. [tex]\blacksquare[/tex]

d) The rock hit the ground at a horizontal distance of 6 feet. [tex]\blacksquare[/tex]

e) The relation is graphed below. [tex]\blacksquare[/tex]

To learn more on quadratic functions, we kindly invite to check this verified question: https://brainly.com/question/5975436

Answer:

1/15   gal / mile   if your numbers are correct

Step-by-step explanation:

1/5   /   15/4     =   1/5  * 4 / 15 =  4/60 = 1/15

8(2y+y)

hope it helps!!!

Answer:

add them to get the answer then times 2 to it

Step-by-step explanation:

2,037 + 366 = 2,403

Answer---2,403

Explanation:

22 = 2*11

18 = 2*9

We see that 2 is the GCF of 22 and 18. It's the largest shared factor.

Now use the distributive property to say the following

22 + 18

2*11 + 2*9

2(11+9)

To check the answer, multiply the outer 2 by each term inside to end up with 22+18 again.

The area of the sector with a radius of 6units and an angle of 4 degrees rounded to the nearest hundredth is 13.19 square units

The sector is a part of a circle with an angle subtended at the centre. The formula for calculating the area of a sector is expressed as:
A = r²Ф/2

where:

r is the radius

Ф is the subtended angle

Given the following

r = 6 units

Ф = 42degres

Area of the sector = 6²/2 * 42/180 π
Area of the sector = 13.188units

Hence the area of the sector rounded to the nearest hundredth is 13.19 square units

Learn more on area of sector here: https://brainly.com/question/22972014

Answer:

there are 5

Step-by-step explanation:

Since each of the 10 students has 3 choices, there are [tex]3^{10}[/tex] possible outcomes in the sample space of her experiment.

Using the probability concept, it is found that there is a 70% experimental probability that a shark with red eyes is not picked.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these numbers of outcomes are taken from previous trials.

In this problem, out of 10 students, 3 choose the shark with red eyes, hence 7 did not choose them, thus:

p = 7/10 = 0.7 = 70%.

Hence, there is a 70% experimental probability that a shark with red eyes is not picked.

For the total number of outcomes, there are 10 students, each with 3 choices, hence there are there are [tex]3 \times 3 \times 3 \cdots \times 3 = 3^{10}[/tex] possible outcomes in the sample space of her experiment.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

Image result for how do you do 6-4 6-5 math in 8th grade

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Step-by-step explanation:

Answer: Answer X

Step-by-step explanation:

In order for a graph to represent a function, it must pass the vertical line test. This means, if you were to draw a vertical line at ANY point along the graph, it should not intersect more than one point. For answers W, Y, and Z, they clearly fail the vertical line test. Answer X is the only graph that passes the vertical line test.

Answer:

x=2164.50

Step-by-step explanation:

tan13=500/x

x=500/tan13

x=500/0.231

x=2164.50

I think this is correct but im not to sure

Answer:

5360

Step-by-step explanation:

5000*1.072=5360

Answer:

$92.74 = 0.06m + $10

m = 1545.67 (or 1546 if rounded to the nearest whole minute)

Step-by-step explanation:

m represents the number of minutes, which we have been told are charged at $0.06 per minute.

$10 is the constant because he is charged this every month.

Set up the equation with these numbers:

92.74 = 0.06m + 10

Now solve the equation

Subtract 10 from both sides to get m by itself:

92.74 - 10 = 0.06m + 10 - 10

82.74 = 0.06m

Divide each side by 0.06 to get m as a whole number

92.74/0.06 = 1545.67

0.06m/0.06 = m

Therefore

m = 1545.67 (or 1546 if rounded to the nearest whole minute)

Using the profit concept, it is found that she makes a profit of $4 selling a dozen cookies for six dollars.

The profit is given by the subtraction of the revenue by the total costs.

In this problem:

6 - 2 = 4, hence she makes a profit of $4.

More can be learned about the profit concept at https://brainly.com/question/4001746

Answer:

208 m^2

Step-by-step explanation:

Add the area of all of the rectangles and/or squares

4x6*2   +   4x8 *2   +    6x8 * 2

total = 208 m^2

Answer:

48 by 10 because

[tex]480\div 10 = 48[/tex]

therefore the wall dimensions are 48 by 10

Answer: 6.28

Step-by-step explanation: Using the formula 2×pie×radius

Circumference=2×3.14×1

=6.28

Answer:

Step-by-step explanation:

C = circumference

r = radius

d = diameter

C = 2[tex]\pi[/tex]r or C = [tex]\pi[/tex]d

I will be using the second formula since it is what I prefer but please note that when using the first the only thing being multiplied by two is the radius, not pi.

d = 2r

d = 2 * 1

d = 2

C = 2[tex]\pi[/tex]

4/52 = 1/13

hope it helps...!!!

Answer:

18.4

Step-by-step explanation:

Well the square root of 84 isn't an exact answer.

But when rounded it equals to approximately 9.16 or rounded even more 9.2 at most.

So 9.2 + 9.2 = 18.4.

So the answer is ≈ 18.4

Have a good day or night wherever you are. May GOD Bless You!!

Answer:

=> 18.3303028 or 18.4

Step-by-step explanation:

=> √84 +√84 {√84 = 9.16515139 or 9.2}

=> 18.3303028 or 18.4

Answer:

This is the answer

C. -8, -5, 0,4