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
Sliva [168]
3 years ago
10

Figure RST on the graph is reflected over the y-axis creating figure R’S’T’. Figure R’S’T’ is translated down 2 units and left 1

unit creating R’’S’’T’’. On a coordinate plane, triangle R S T has points (1, 1), (2, 3), (1, 4). Triangle R prime S prime T prime has points (negative 1, 1), (negative 2, 3), (negative 1, 4). Triangle R double-prime S double-prime T double-prime has points (negative 2, negative 1), (negative 3, 1), (negative 2, 2). Tyler knows that RST Is congruent to R’S’T’ because reflections produce congruent figures. He also knows that R’S’T’ Is congruent to R’’S’’T’’ because translations produce congruent figures. What can Tyler determine based on these two statements? Check all that apply. RST Is congruent to R’’S’’T’’ RS Is congruent to ST Is congruent to TR Angle R is congruent to angle S is congruent to angle T Angle R is congruent to angle R prime is congruent to angle R double-prime TS Is congruent to T’S’ Is congruent to T’’S’’
Mathematics
2 answers:
oee [108]3 years ago
4 0

For those who like the short answer, it is A and D

Crazy boy [7]3 years ago
3 0

Answer:

RST Is congruent to R’’S’’T’’

Angle R is congruent to angle R prime is congruent to angle R double-prime

TS Is congruent to T’S’ Is congruent to T’’S’’

Step-by-step explanation:

we know that

A reflection and a translation are rigid transformation that produce congruent figures

If two or more figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

Triangles RST, R'S'T and R''S''T'' are congruent

That means

Corresponding sides

RS≅R'S'≅R''S''

ST≅S'T'≅S''T''

RT≅R'T'≅R''T''

Corresponding angles

∠R≅∠R'≅∠R''

∠S≅∠S'≅∠S''

∠T≅∠T'≅∠T''

therefore

RST Is congruent to R’’S’’T’’

Angle R is congruent to angle R prime is congruent to angle R double-prime

TS Is congruent to T’S’ Is congruent to T’’S’’

You might be interested in
Find the sides of a triangle if 2 sides of it are equal, the third side is 1 1/3, and the perimeter is 5 2/5
Kaylis [27]
Both of the sides are 2 and 1/30
7 0
3 years ago
A clothing store offers customers a holiday sale of 20% off the price of x items. A customer then has an additional 15% off coup
aleksandr82 [10.1K]

Finding the equivalent multiplier, it is found that the function for the final price is:

P(x) = 0.68x.

-------------------------------------------

  • There is a holiday sale of 20% off the price of x, thus 0.8x is paid, as 1 - 0.2 = 0.8.
  • Additionally, there is a coupon of 15% off, thus, 0.85 of 0.8x is paid.
  • The equivalent multiplier is:

0.85(0.8) = 0.68

  • Thus, the function for the final price is:

P(x) = 0.68x

A similar problem is given at brainly.com/question/16999193

8 0
2 years ago
Read 2 more answers
Assume the general population gets an average of 7 hours of sleep per night. You randomly select 45 college students and survey
tekilochka [14]

Answer:

a) ii. This is a left-tailed test.

b) -1.59

c) -1.301

d) i. reject null hypothesis

e) Option i) The data supports the claim that college students get less sleep than the general population.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 7 hours

Sample mean, \bar{x} = 6.87 hours

Sample size, n = 45

Alpha, α = 0.10

Sample standard deviation, s =  0.55 hours

First, we design the null and the alternate hypothesis

H_{0}: \mu = 7\text{ hours}\\H_A: \mu < 7\text{ hours}

a) We use one-tailed(left) t test to perform this hypothesis.

b) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{6.87 - 7}{\frac{0.55}{\sqrt{45}} } =-1.59

c) Now,

t_{critical} \text{ at 0.10 level of significance, 44 degree of freedom } = -1.301

Since,                    

t_{stat} < t_{critical}

d) We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis and conclude that  mean number of hours of sleep for all college students is less than 7 hours.

e) Option i) The data supports the claim that college students get less sleep than the general population.

8 0
3 years ago
Which of the following theorems verifies that ABC~WXY?
Bumek [7]

Answer:

The correct answer is option <em>B. AA</em>

<em></em>

Step-by-step explanation:

Given two triangle:

\triangle ABC  and \triangle WXY.

The dimensions given in \triangle ABC are:

\angle A = 27^\circ\\\angle B = 90^\circ

We know that the sum of three angles in a triangle is equal to 180^\circ.

\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ

The dimensions given in \triangle WXY are:

\angle Y = 63^\circ\\\angle X = 90^\circ

We know that the sum of three angles in a triangle is equal to 180^\circ.

\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ

Now, if we compare the angles of the two triangles:

\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

\triangle ABC \sim \triangle WXY by <em>AA theorem.</em>

<em>So, correct answer is option B. AA </em>

7 0
3 years ago
Find the nth term: 8, 18, 28, 38, 48....
Ivanshal [37]

Answer:

The ninth term? That would be 98.

Step-by-step explanation:

Notice how the numbers add 10 every time. If we keep doing that pattern until we get the ninth number, then we get this:

8, 18, 28, 38, 48, 58, 68, 78, 88, 98

Therefore, the answer is 98.

7 0
3 years ago
Other questions:
  • What is 5 (3*5) to the second power
    10·1 answer
  • What’s the value of x
    15·1 answer
  • I need help with this question.
    14·1 answer
  • SKSKSKSKKSKSKSKSKSKSKSKS​
    14·1 answer
  • The answer is B. she moves 50 miles per hour
    5·1 answer
  • 1) The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 2x-3 and g(x) = 3x+8. Find f(x) multiplied by g(x). 2
    10·1 answer
  • (4, -1), (7, 4)<br> find the distance between each pair of points
    11·1 answer
  • What is the solution to the following equation? 3/8 x + 6(x + 3) = -5( 1/4 x - 1) + 6x x = -13 x = 13 x = 8 x = -8
    11·1 answer
  • 1. The volume of a rectangular shape 5 feet
    14·2 answers
  • Find the interquartile range of the data. 4,6,4,2,9,1,12,7
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!