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
Sav [38]
3 years ago
15

Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1. Which diagram illustrates these transfor

mations?

Mathematics
2 answers:
malfutka [58]3 years ago
7 0

After reflection ΔABC turned into a triangle ΔA'B'C'. In these two triangles angles A and A' should be congruent. This means that options B and D are incorect.

If a scale factor of dilation is between 0 and 1, then ΔA'B'C' should be compressed to ΔA''B''C'' (all sides should have smaller lengths). Since in option C ΔA''B''C'' has greater dimensions, the correct choice is A.

Elis [28]3 years ago
5 0
Bit late, but the answer is A. A scale factor between 0 and 1 results in a shrink.
You might be interested in
A.no<br>b.yes<br>the question is in the picture ​
nevsk [136]

B. yes, it's a function

8 0
3 years ago
Which letter below is NOT made only of line segments?<br>D<br>Х<br>М<br>F​
MrMuchimi

Answer:

D

Step-by-step explanation:

The letter D includes a curved line, unlike the letters X, M, and F.

5 0
3 years ago
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
Shtirlitz [24]

Answer:

Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

<u><em>Let </em></u>\mu<u><em> = mean power consumption of microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Here, <u>null hypothesis states tha</u>t the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, <u>alternate hypothesis sates that</u> the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;

                       T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

5 0
3 years ago
State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement
valentinak56 [21]

9514 1404 393

Answer:

  a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

  b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

  NC/RL = 45/30 = 3/2

__

b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.

7 0
3 years ago
What is the value of a when we rewrite 8^x as a^-x/9​
Andre45 [30]

Answer:

a = \frac{1}{134217728}

Step-by-step explanation:

Given

8^x = a^{-x/9}

Required

Find a

Take log of both sides

log(8^x) = log(a^{-x/9})

Apply law of logarithm

x\ log(8)  = (-x/9) log(a)

Divide both sides by a

log(8)  = -\frac{1}{9} log(a)

Multiply both sides by -9

-9\ log(8)  = log(a)

Apply law of logarithm

log(8^{-9})  = log(a)

Cancel out log

8^{-9}  = a

Rewrite as:

a = 8^{-9}

Apply law of indices

a = \frac{1}{8^9}

a = \frac{1}{134217728}

4 0
3 years ago
Other questions:
  • Why is it important to simplify rational expressions before multiplying or dividing? How do you determine that a rational expres
    11·1 answer
  • I need help with this math challenge! Please
    6·2 answers
  • HELP!
    11·1 answer
  • If there are 91 seats in 7 rows how many seats are in 4 rows
    9·2 answers
  • 5. Find the 34th term in the arithmetic sequence 9, 6, 3, <br> A. 90<br> B. -90<br> C.-57<br> D. 108
    8·1 answer
  • Answer this ! please
    13·1 answer
  • What is the range for
    11·1 answer
  • What ratio is equivalent to TanA?
    9·1 answer
  • A hot vanilla latte recipe calls for 2 1/2 cups of almond milk and makes 10 servings. How many cups of milk are needed for 15 se
    14·2 answers
  • Luis wants to buy a skateboard that usually sells for $79.35. All merchandise is discounted by 12%. What is the total cost of th
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!