1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ulleksa [173]
3 years ago
8

If the transformation was a rotation, tiffany can or cannot be certain the trapezoids are congruent?

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer: Tiffany can be certain the trapezoids are congruent.

Step-by-step explanation: Two figures are <u>congruent</u> when their corresponding angles are equal and they have the same shape and size.

A figure can go thorugh 3 types of transformations:

  • <em>Rotation</em>: the figure is turned around a fixed point;
  • <em>Reflection</em>: is created by fliping over the figure over a line;
  • <em>Translation</em>: move the figure to another location, without changing its size;

As long the figure doesn't change its size or shape, it doesn't matter if it's rotated, reflected or translated, they will be congruent.

When the trapezoid was rotated creating another one, the two shapes didn't change its size or shape, so Tiffany can be certain they are congruent.

You might be interested in
The engine of a car has a displacement of 305 cubic inches. what is the displacement in cubic feet? round your answer to 2 decim
ipn [44]
 solution
 1 inch = 2.54 centimeters
Therefore, to convert to cubic measurements
 (1 in)³ = (2.54 cm)³
 Thus;
1 in³ = 16.387 cm³
Hence 305 cubic inches will be equivalent to
  305 × 16.387
 = 4998.035 cm³

5 0
4 years ago
Read 2 more answers
What is the value of x
olchik [2.2K]
The two angles shown form a linear pair.
The angles are supplementary, which means their measures add to 180 deg.
Now we can write an equation and solve for x.

5x + 120 = 180

5x = 60

x = 12

Answer: x = 12
4 0
3 years ago
In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6970 subjects randomly sele
Taya2010 [7]

Answer:

we will fail to reject the null hypothesis and conclude that the return rate is less than​ 20%.

Step-by-step explanation:

We are given;

Sample size;n = 6970

Success rate;X = 1334/6970 = 0.1914

Now, we want to test the claim that the return rate is less than p = 0.2, hence the null and alternative hypothesis are respectively;

H0: μ < 0.2

Ha: μ ≥ 0.2

The standard deviation formula is;

σ = √(x(1 - x)/n)

σ = √(0.1914(1 - 0.1914)/6970)

σ = 0.004712

Now for the test statistic, formula is;

z = (x - μ)/σ

z = (0.1914 - 0.2)/0.004712

z = -1.825

From the a-distribution table attached, we have a value of 0.03362.

This p-value gotten from the z-table is more than the significance value of 0.01. Thus, we will fail to reject the null hypothesis and conclude that the return rate is less than​ 20%.

4 0
4 years ago
The time spent waiting at a traffic light can be considered a random variable with values from 0 seconds, it’s green when you ap
ehidna [41]

Answer:

H = 1/30

H = 0.0333

0.033

Step-by-step explanation:

The time spent waiting at a traffic light can be considered a random variable with values from 0 seconds,

it’s green when you approach and can go on through, to 30 seconds with the following distribution shape

The entire area under the distribution curve must be 1.

Let assume the Shape is rectangle

Given

Time taken from 0s to 30s = 30s - 0s = 30s

To find height of the distribution?

Let H = the height of the distribution

Based on the above assumption;.

H * 30 = 1 --- make H the subject of formula

H = 1/30

H = 0.0333

To three decimal places is 0.033

<h3>Hence, the calculated height of the distribution is 0.033</h3>

4 0
3 years ago
The sum of three integers is 92. The second number is three times the first number. The third number is ten less than twice the
dlinn [17]
We are to identify the three integers (let x, y and z be the three integers) given the conditions stated in the problem such as:
the sum of the three numbers is 92 =>  x+y+z = 92
the second number is three times the first number => y = 3x
the third number is ten less than twice the first number => 2x - 10 =z

Solving the equation, we have it:
x + y + z = 92
x + (3x) + (2x-10) =92
6x -10 = 92
6x = 92 +10
6x = 102
x = 17

solving for y:
y = 3x
y = 3*17
y = 51

solving for z, we have:
z = 2x -10
z = 2*17 - 10
z = 34 - 10
z = 24

The answers are:
x = 17
y = 51
z = 24
8 0
3 years ago
Other questions:
  • The product of two consecutive integers is 110. find the integers?
    13·2 answers
  • The point-slope form of the equation of the line that passes through (-4,-3) and (12, 1) is y-1 =
    5·2 answers
  • If you have 36 guests, how many liters of Yoda Soda do you need?
    14·1 answer
  • Please help!
    8·1 answer
  • 90% of adult females have height h (in feet) that satisfies the inequality h-5.350.21≤2.PEO8u1R7JRMqpfyKkyBAiu7m2VSa2P1jS2VeRvrV
    6·2 answers
  • 732,178+167-542,137=
    10·2 answers
  • HELP ASAP! Given f(x) = ax^2 + c, list each characteristic of the function.
    5·1 answer
  • Yunuss earns $17.00 per hour as a lab tech. and gets time and a half for overtime for any hours over 40. Last week he worked 46.
    12·1 answer
  • Seven times a number plus five equals two times the number???
    14·1 answer
  • Help me now I need the answer on pepar
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!