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labwork [276]
3 years ago
8

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.
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
2 answers:
NNADVOKAT [17]3 years ago
7 0

Answer:

Step-by-step explanation:

Mila [183]3 years ago
5 0

Answer:

Part A: Triangles GCB and PBE

Part B: They're similar because they have the same internal angles.

Part C:

250/400 = BE/450

112500/400 = BE

BE = 281.25 ft

250/400 = PE/350

87500/400 = PE

PE = 218.75 ft

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Solve for x and y: x=5−2y 6y=10−3x
Mama L [17]

we have

x=5−2y ---> multiply by 3 both sides-----> 3x=15-6y-----> 6y=15-3x----> equation 1

6y=10−3x------> equation 2


equation 1 and equation 2 has the same slope

the lines are parallel

slope m=-3/6-----> m=-1/2

so

there are no solution


the answer is the option

b. There is no solution


7 0
4 years ago
X/-5=-20<br><br> A -100 or 100<br> B -4 or 4<br> C 100<br> D no solution
alexgriva [62]

Move the negative sign to the left

-x/5 = -20

Multiply both sides by 5

-x = -20 × 5

Simplify 20 × 5 to 100

-x = -100

Multiply both sides by -1

<em>x = 100</em>

<u>C. 100</u>

4 0
3 years ago
Read 2 more answers
Write the equation for a parabola with a focus at (-8, -1) and a directrix at y = − 4.
Sidana [21]

Answer:

y = 1/6 x^2 + 8/3 x + 49/6

Step-by-step explanation:

This is a parabola which opens upwards.

The distance of a point (x, y)  from the focus is

√[(x -  -8)^2  + (y - -1)^2] and

the distance of the point from the line y = -4

= y - -4

These distances are equal for a parabola so:

√[(x -  -8)^2  + (y - -1)^2] = y + 4

Squaring both sides:

(x + 8)^2 + (y + 1)^2  = (y + 4)^2

x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16

x^2 + 16x + 64 + 1 - 16 = 8y - 2y

6y = x^2 + 16x + 49

y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.

4 0
3 years ago
5. Landon bought a new car for $16,000 and it depreciates 4.5% every year. Write a function that describes
snow_tiger [21]

Answer:

<h3>The value C(t) of the car after  5  years is $12709.</h3>

Step-by-step explanation:

Given that Landon bought a new car for $16,000 and it depreciates 4.5% every year.

<h3>To find the value C(t) of the car after  5  years:</h3>

Initial value C(0)= $16,000

Depreciation rate is  r=\frac{4.5}{100}

<h3>∴ r=0.045</h3>

Period ,  t=5 years

C(t)=C(0)(1-r)^t

Substitute the values we get

C(5)=16000(1-0.045)^5

=16000(0.955)^5

=16000(0.7943)

∴ C(5)=12708.8

<h3>The value C(t) of the car after  5  years is  $ 12709</h3>
3 0
3 years ago
Which of the following choices
Lapatulllka [165]

Answer:

Denote AH as height of triangle ABC, with H lies on BC.

Applying sine theorem:

AH/AC = sin 60

=> AH = AC x sin 60 = 47 x sqrt(3)/2 = 40.7

=> Area of triangle ABC is calculated by:

A = AH x BC x (1/2) = 40.7 x 30 x (1/2) = 610.5 = ~611

=> Option C is correct.

Hope this helps!

:)

3 0
3 years ago
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