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
Rina8888 [55]
3 years ago
5

The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds. GRPC is a par

allelogram. Parallelogram GRPC with point B between C and P forming triangle GCB where GC equals 375 ft, CB equals 325 ft, and GB equals 425 ft, point E is outside parallelogram and segments BE and PE form triangle BPE where BP equals 225 ft. Part A: Identify a pair of similar triangles. (2 points) Part B: Explain how you know the triangles from Part A are similar. (4 points) Part C: Find the distance from B to E and from P to E. Show your work. (4 points)
Mathematics
1 answer:
mylen [45]3 years ago
5 0

Answer:

The similar triangles are \triangle BPE and \triangle BCG

BE = 321 and PE =286

Step-by-step explanation:

Given

See attachment for the required figure

Solving (a): The similar triangles

The similar triangles are \triangle BPE and \triangle BCG

Solving (b): Why they are similar

Both triangles are similar because \triangle BCG is dilated (i.e. enlarged) and then reflected to give \triangle BPE.

Solving (c): Calculate BE and PE

The following are equivalent ratios

BP: BC = BE : BG

and

BP: BC = PE : CG

Solving for BE, we have:

BP: BC = BE : BG

Substitute the known values

250:350 = BE:450

Express as fraction

\frac{250}{350} = \frac{BE}{450}

Multiply both sides by 450

450 * \frac{250}{350} = BE

321 = BE

BE = 321 -- approximated

Solving for PE, we have:

BP: BC = PE : CG

Substitute known values

250:350 = PE:400

Express as fraction

\frac{250}{350} = \frac{PE}{400}

Multiply both sides by 400

400 * \frac{250}{350} = PE

286 = PE

PE =286

You might be interested in
1) (7 X 6) = 2 [{45 - 3(7 X 2 - 15 + 6)} + 4] ​
zhuklara [117]

Answer:

42=2[{45-3(14-21)}+4]

42=2[{45-3×-6}+4]

42=2[{45-18}+4]

42=2[{27}+4]

42=2[27+4]

42=2×31

42=62

7 0
2 years ago
Read 2 more answers
Define the set X = {(x,y)|x > 0,y ≤ √x}.
Kitty [74]

The set X is convex.

In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.

b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.

c)set X is not a closed set as the compliment of the set is not an open set.

d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.

To learn more about convex sets:

brainly.com/question/12577430

#SPJ9

3 0
1 year ago
The value of four and 34,000 is in the 4 times the value of The value of four and is times the value of 447,163
tatuchka [14]
447,163 / 34,000 = 13.151
13.151 • 34,000 = 447,163
Your answer is going to be 13.151
3 0
3 years ago
Which is a solution to the equation?<br> (х-2)(х + 5) = 18?
jok3333 [9.3K]

\bf (x-2)(x+5)=18\implies \stackrel{\mathbb{F~O~I~L}}{x^2+3x-10}=18\implies x^2+3x-28=0 \\\\\\ (x-4)(x+7)=0\implies x= \begin{cases} 4\\ -7 \end{cases}

4 0
3 years ago
Write the mixed number as a fraction 1 1/8
Angelina_Jolie [31]
It would be 9/8

Hope this helps!
4 0
4 years ago
Read 2 more answers
Other questions:
  • Sasha counted 24 feet in all of them in the barn how many dogs and birds and buyers do you think are in the barn today there are
    12·1 answer
  • A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
    6·1 answer
  • Please help it’s due soon,
    9·1 answer
  • PLEASE HELP ME!!!
    12·2 answers
  • The flower shop has 40 times as many flowersin one cooler as Julia has in her banquet. The cooler has 120 flowers.how many flowe
    11·2 answers
  • Which equation has x=4 as the solution? A) ^log 4 (3x+4)=2 B) ^log 3 (2x-5)=2 C) ^log x 64=4 D) ^log x 16=4
    7·1 answer
  • A = 4, n = 8, y = 2, x = 10 Evaluate the algebraic expression x + 3y - n. 6 8 12 D 24​
    15·1 answer
  • 10a-4b+10-9b? can someone help
    14·2 answers
  • Freeeeeeeeeee points I hope your get some
    8·2 answers
  • .<br> 1.<br> f(x) = -2lx- 3| +1<br><br> How do I graph this?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!