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
lozanna [386]
3 years ago
6

Given that DF/PR=FE/RQ=3/2, what additional information is needed to prove △DEF ~ △PQR using the SSS similarity theorem?

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
7 0

Answer:

D

Step-by-step explanation:

lora16 [44]3 years ago
5 0

Answer:

Option D.

Step-by-step explanation:

Given information: \frac{DF}{PR}=\frac{FE}{RQ}=\frac{3}{2}.

We need to find the additional information which is needed to prove △DEF ~ △PQR using the SSS similarity theorem.

According to the SSS similarity theorem, two triangles are similar if their corresponding sides are proportional.

Using  SSS similarity theorem, both △DEF and △PQR are similar if

\frac{DE}{PQ}=\frac{E F}{Q R}=\frac{DF}{PR}

If can be written as

\frac{DE}{PQ}=\frac{FE}{RQ}=\frac{DF}{PR}

It is given that \frac{DF}{PR}=\frac{FE}{RQ}=\frac{3}{2}.

So, the additional information which is needed to prove △DEF ~ △PQR using the SSS similarity theorem is \frac{DE}{PQ}=\frac{3}{2}.

Therefore, the correct option is D.

You might be interested in
What is the answer ti<br> Y-7-x<br> 2x-y=8
TEA [102]
<span>2x+y=8
2x+x-7=8
3x=15

x=5 

y=5-7
y=-2</span>
3 0
4 years ago
Work the following pricing problems for services rendered. (For all calculations use hundredths.)
Lesechka [4]

Answer:

Hourly Rate = $12.22 per hour

Step-by-step explanation:

\text{Labor Time = }4\tfrac{1}{2}=4.5\thinspace{ hours}

Overhead Rate = 95%

Retail price of parts = $134.75

Total cost of job = $241.98

Cost of labor = Total cost - Retail price

                      = 241.98 - 134.75

                      = $107.23

Now, labor works for 4.5 hours and ears a total amount of $107.23

\implies\text{Amount earned in one hour or hourly rate = }\frac{107.23}{4.5}\\\\\implies \text{Hourly rate = }\$23.83\text{ per hour}

Now, Labor will get 95% overhead rate

⇒ The labor is getting 100% already but an overhead of 95% is also given

\text{So, Hourly Rate = }\frac{23.83}{1+0.95}\\\\\bf\implies\textbf{Hourly Rate = }\$12.22\textbf{ per hour}

3 0
3 years ago
Kenya exchanges $200 for euros (€). Suppose the conversion rate is €1 = $1.321. How many euros should Kenya receive?
ohaa [14]
€151.40 would be the outcome i believe
7 0
3 years ago
Read 2 more answers
Please help me!<br> Find WX.
Fynjy0 [20]
So WX is 7y +4 and XY is 21, and when you add those lines you get the whole thing, which is 12y so write that like an equation
12y = 7y+4+21
12y = 7y+25
5y = 25
y = 5
3 0
3 years ago
A blue die and a red die are thrown. B is the event that the blue comes up with a 6. E is the event that both dice come up even.
iVinArrow [24]

Answer:

Size of |E n B| = 2

Size of |B| = 1

Step-by-step explanation:

<em>I'll assume both die are 6 sides</em>

Given

Blue die and Red Die

Required

Sizes of sets

- |E\ n\ B|

- |B|

The question stated the following;

B = Event that blue die comes up with 6

E = Event that both dice come even

So first; we'll list out the sample space of both events

B = \{6\}

E = \{2,4,6\}

Calculating the size of |E n B|

|E n B| = \{2,4,6\}\ n\ \{6\}

|E n B| = \{2,4,6\}

<em>The size = 3 because it contains 3 possible outcomes</em>

Calculating the size of |B|

B = \{6\}

<em>The size = 1 because it contains 1 possible outcome</em>

8 0
3 years ago
Other questions:
  • Susan is attending a talk at her son's school. There are 8 rows of 10chairs where 54 parents are sitting. Susan notices that eve
    8·1 answer
  • The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
    6·1 answer
  • I need help finding the volume of this cylinder.​
    7·2 answers
  • Help please! I forgot to study..
    12·2 answers
  • Some help please? <br><br> What is the coefficient of the term of degree 1 in the polynomial
    15·2 answers
  • Can someone help me with this problem!
    5·2 answers
  • Please solve this for me
    5·1 answer
  • Which undefined term is used to define an angel
    9·2 answers
  • Construct the graph of the direct proportion y = kx for k = -1
    8·1 answer
  • Use the table definitions of H(t) and r(t) shown below to find (H o r)(3.0)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!