1. How far is KFC from RCBC Savings Bank? 2. How far is BaliwagLetchon Manok from RCBC Savings Bank? 3. How far is Baliwag Lechon from his residence? 4. How far is KFC from his residence? 5. What is the measure of angle ERK ?​

Answers

Answer 1

Answer:

Following are the solution to the given question.

Step-by-step explanation:

Please find the graph file and its solution in the attachment.  

[tex]4x-15=3x+28\\\\4x-3x=28+15\\\\x=43\\\\[/tex]

Similarly:

[tex]3y+5=2y+50\\\\3y-2y=-5+50\\\\y=45\\\\[/tex]

For point 1:[tex]\to KR=4x-15= 4\times 43-15=172-15=157[/tex]

For point 2: [tex]\to BR=2y+50= 2\times 43+50=86+50=136[/tex]

For point 3:[tex]\to BE=KR=157[/tex]

For point 4:[tex]\to Kf=BR=130[/tex]

For point 5:[tex]\to ERK=KFB=180^{\circ} -\angle B-\angle ERB = 180^{\circ}-92^{\circ}-18^{\circ}=70^{\circ}[/tex]

1. How Far Is KFC From RCBC Savings Bank? 2. How Far Is BaliwagLetchon Manok From RCBC Savings Bank?
Answer 2

Given that ΔKER and ΔBRE are congruent triangles, therefore:

1. How far KFC is from RCBC = KR = 157 m

2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR = 140 m

3. How far Baliwag Lechon is from his residence = BE = KR = 157 m

4.  How far KFC is from his residence = KE = BR = 140 m

5. The measure of ∠ERK = 70°

What are Congruent Triangles?

Congruent triangles have corresponding parts hat are congruent to each other.

Thus, given that ΔKER ≅ ΔBRE, find the values of x and y as shown below:

KR = BE

4x - 15 =  3x + 28

4x - 3x = 15 + 28

x = 43

KE = BR

3y + 5 = 2y + 50

3y - 2y = -5 + 50

y = 45

Thus:

1. How far KFC is from RCBC = KR

KR = 4x - 15

Plug in the value of x

KR = 4(43) - 15

KR = 157 m

2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR

BR = 2y + 50

Plug in the value of y

BR = 2(45) + 50

BR = 140 m

3. How far Baliwag Lechon is from his residence = BE = KR = 157 m

4.  How far KFC is from his residence = KE = BR = 140 m

5. The measure of ∠ERK = 180 - (92 + 18) = 70°

Learn more about congruent triangles on:

https://brainly.com/question/2938476


Related Questions

Rewrite each fraction with a denominator of 24 2/3 and 5/8

Answers

Answer:

2/3 = 16/24

5/8 = 15/24

Step-by-step explanation:

2/3= 16/24

5/8= 15/24

because if you multiply across [tex]\frac{2}{3}[/tex] by [tex]\frac{8}{8}[/tex] equal [tex]\frac{16}{24}[/tex]

and if you multiply across [tex]\frac{5}{8}[/tex] by [tex]\frac{3}{3}[/tex] equal [tex]\frac{14}{24}[/tex]

A bag of marbles contains 4 red marbles and 4 green marbles. Each red marble was labeled with a different number, 1 through 4, and each
green marble was labeled with a different number, 1 through 4.
Which set represents the event, A, that Karen took a marble that was either green or had an even number?

Answers

In total it has 20 marbles with the remainder of 9 marbles

Which point lies on the graph of y = -x-5?
O A (-5,0)
OB. (4.-9)
OC (-2,-3)
OD. (3,-2)

Answers

Answer:

A, B and C are on the graph

Step-by-step explanation:

Just plug the values into  y = -x - 5 and see if the y are equal

A ( -5, 0)

0 = 5 - 5

0 = 0         

B (4, -9)

-9 = -4 - 5

-9 = -9

C (-2, -3)

-3 = 2 - 5

-3 = -3

D (3. -2)

-2 = -3 - 5

-2 = -8

Martha bought a 0.45​-kilogram bottle of spice. She uses 60 grams a week. Is one bottle of spice enough for 9 ​weeks? Explain.

Answers

Answer: No.

Step-by-step explanation:

The reason why it is not enough is that 0.45 kilograms is 450 grams, and when you divided 450 by 9, you get 50, which is 10 less than 60. Therefore, 1 bottle of spice is not enough for 9 weeks.

Answer:

No

Step-by-step explanation:

Half of a kilogram or 0.5 is 500 grams.

The total grams for nine weeks (60 x 9) is 540

Since Martha bought a 0.45 kilogram bottle, which is less than a half, she doesn't have enough of the spice.

Martha would need a 0.54 kilogram bottle to have the right amount.

A snail can travel 390 inches in 5 hours.
How far does it travel in 1 hour?

Answers

78, divide 390 by 5 which equals 78

Answer:

78 inches

Step-by-step explanation:

5 hours = 390 inches

1 hour = 390 / 5

1 hour = 78 inches

Therefore the snail travels 78 inches in 1 hour.

Hope this helps!

If anyone can help, it’d be appreciated! I’m so confused

Answers

I think it’s the first option
Sorry if it’s wrong
Hope that helped
I’m bo red so I’m helping out

Find the Surface Area of this Prism?

Answers

Answer:

114ft

Step-by-step explanation:

3 times 3=9

9times 2=18

8 times 3=24

24 times 2=48

8 times 3 = 24

24 times 2 =48

48+48+18=114

The zoo downtown has 9 times as many monkeys as elephants. They have 60 animals all together. How many elephants are there?

Answers

Answer:

6

Step-by-step explanation:

e = number of elephants

9 times as many monkeys as elephants

m = 9e

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

60 animals all together

e + m = 60

e + 9e = 60

Combine like terms

10e = 60

Divide both sides by 10

e = 6

Answer: There’s technically no answer to this question, unless you specify that the zoo only has monkeys and elephants. If the zoo has more than two types of animal then the ratio doesn’t help because there are unknown variables.

However, if we knew that the zoo only has monkeys and elephants, then:

E = number of elephants

M = number of monkeys

M=9E

M + E = 60

9E+E= 60

10E = 60

E = 6

There are 6 elephants (and 54 monkeys).

Determine whether the following system is consistent or inconsistent and if it is independent or dependent.

Y=2x-3 and 2x-2y=2​

Answers

9514 1404 393

Answer:

  consistent, independent

Step-by-step explanation:

Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...

  y = x - 1

The x-coefficients of this and the first equation are different, so the system is consistent and independent.

__

A system is independent if the equations describe different lines.

A system is inconsistent if the equations describe parallel lines.

Here, the different lines are not parallel, so the system is independent and consistent.

If you role a die 60 times, how many times will i expect a 5 to roll? (based on theoretical probability)

Answers

Answer:

6

Step-by-step explanation:

If f(1)=6f(1)=6 and f(n)=nf(n-1)-4f(n)=nf(n−1)−4 then find the value of f(3)f(3).

Answers

Answer:

49

Step-by-step explanation:

Answer:6144

Step-by-step explanation:

If f(1)=6f(1)=6 and f(n)=4f(n-1)f(n)=4f(n−1) then find the value of f(6)f(6).

f(1)=

f(1)=

\,\,6

6

f(\color{darkgreen}{2})=

f(2)=

\,\,4f(\color{darkgreen}{2}-1)

4f(2−1)

=

=

\,\,4f(1)

4f(1)

=

=

\,\,4(6)

4(6)

Substitute f(1)=6

f(2)=

f(2)=

\,\,24

24

f(\color{darkgreen}{3})=

f(3)=

\,\,4f(\color{darkgreen}{3}-1)

4f(3−1)

=

=

\,\,4f(2)

4f(2)

=

=

\,\,4(24)

4(24)

Substitute f(2)=24

f(3)=

f(3)=

\,\,96

96

f(\color{darkgreen}{4})=

f(4)=

\,\,4f(\color{darkgreen}{4}-1)

4f(4−1)

=

=

\,\,4f(3)

4f(3)

=

=

\,\,4(96)

4(96)

Substitute f(3)=96

f(4)=

f(4)=

\,\,384

384

f(\color{darkgreen}{5})=

f(5)=

\,\,4f(\color{darkgreen}{5}-1)

4f(5−1)

=

=

\,\,4f(4)

4f(4)

=

=

\,\,4(384)

4(384)

Substitute f(4)=384

f(5)=

f(5)=

\,\,1536

1536

f(\color{darkgreen}{6})=

f(6)=

\,\,4f(\color{darkgreen}{6}-1)

4f(6−1)

=

=

\,\,4f(5)

4f(5)

=

=

\,\,4(1536)

4(1536)

Substitute f(5)=1536

f(6)=

f(6)=

\,\,6144

6144

\text{Geometric Sequence:}

Geometric Sequence:

Common ratio of 4

6,24,96,384,1536,6144, ...

6,24,96,384,1536,6144,...

\text{Final Answer:}

Final Answer:

6144

Find the diameter and radius of the circle given the circumference.
C = 81.3 cm
d =
r=
Word Bank:
32.18
25.88
16.09 20.32
12.94 40.65

Answers

C=2 pie r

81.3/2pie=r

R=12.94

D=2r

D= 25.88

P(C)= 0.02. What is the complement of P(C)?

Answers

Answer:

P'(C) = 0.98

Step-by-step explanation:

Given that,

P(C) = 0.02 (The probability of getting C)

We need to find the complement of P(C) i.e. P'(C).

We know that,

P(C)+P'(C)=1

P'(C) = 1-P(C)

= 1-0.02

= 0.98

So, the complement of P(C) is equal to 0.98.

which M.A.D (mean absolute deviation) would show the most variability

a- .5
b- 1.5
c- 1
d- 2

Answers

pretty sure it’s 1??

Solve for x. Round to the nearest tenth, if necessary.
P.
х
50°
Q
R
4.2

Answers

Answer:

5.0 =x

Step-by-step explanation:

Since this is a right triangle

tan theta = opp side/ adjacent side

tan 50 = x / 4.2

4.2 tan 50 = x

5.005365089 =x

Rounding to the nearest tent

5.0 =x

12 * 4 ÷ 6x(-8)

pls answer this question

Answers

Answer:

-64

Step-by-step explanation:

it's -64 the calculator works with the problem

Convert 40% as a fraction and multiply the results by 25

Answers

Convert 40% as a fraction:

40% = 40/100 = 2/5

Multiply the results by 25 :

2/5×25 = 10....

(✯ᴗ✯)Hence , the answer is 10...(◍•ᴗ•◍)
40%=40/100
=0.4
0.4 x 25
=10

(x−4)2+y2=64
(
x

4
)
2
+
y
2
=
64

Which point is on the circle?

Answers

Answer:

(12, 0)

Step-by-step explanation:

The centre of the circle is at (4, 0) and the radius = √64 = 8.

So one point on the circle is at ((4 + 8), 0) = (12,0).

A triangle has sides of lengths 8, 15, and 17. Is it a right triangle? Explain.

Answers

Answer:

Step-by-step explanation:

8^2 + 15^2 = ?

64 + 225 = 17^2

289 = 289

[tex]\sqrt{289} = \sqrt{289\\} \\ 17 = 17[/tex]

Suppose you want to start saving for retirement. You decide to continuously invest $5000 of your income each year in a risk-free investment with a 7% yearly interest rate compounded continuously. If y| is the value of the investment, and t| is in years. dy/dt =| Your answer should be interms of y|. You start investing at t = 0| so y(0) = 0. y(t) =| What is the size of your investment after 40 years. y(40) =|

Answers

Answer:

The size of the investment after 40 years is of $74,872.

Step-by-step explanation:

Continuous compounding:

The amount of money, in continuous compounding, after t years, is given by:

[tex]y(t) = y(0)(1+r)^t[/tex]

In which y(0) is the initial investment and r is the interest rate, as a decimal.

You decide to continuously invest $5000 of your income each year in a risk-free investment with a 7% yearly interest rate compounded continuously.

This means that [tex]y(0) = 5000, r = 0.07[/tex]. So

[tex]y(t) = y(0)(1+r)^t[/tex]

[tex]y(t) = 5000(1+0.07)^t[/tex]

[tex]y(t) = 5000(1.07)^t[/tex]

What is the size of your investment after 40 years?

This is y(40), that is, y when t = 40. So

[tex]y(t) = 5000(1.07)^t[/tex]

[tex]y(40) = 5000(1.07)^{40}[/tex]

[tex]y(40) = 74872[/tex]

The size of the investment after 40 years is of $74,872.

I don’t understand this so can anyone help with this!?

Answers

Answer is 2 correct me if I’m wrong

Use angle addition formula to find the expression for cos(a+b). Use the same formula to
find cos(a+a).

Answers

Answer:

we have

Cos (a+b)=Cos aCosb-SinaSinb

for

Cos (a+a)=Cos aCosa-SinaSina=Cos²a-Sin²a

is a required answer.

What they said!!!!!!!!!!!!

Helpp plzz will mark brainleast

Answers

Answer:

-2.6, -2.16, 0.58, 0.8, 5.1

Step-by-step explanation:

Answer:

D) -2.6, -2.15,0.58,0.8, 5.1

Step-by-step explanation:

SOMEONE PLEASE HELP!!!!

Answers

Answer:

D. 9

Step-by-step explanation:

When you add 1 + 4 + 5 + 5 + 5 + 6 + 9 + 10 + 10 + 11 + 12 + 12 + 15 + 15 + 15 = 135. Which is all of the numbers given to you, and since mean is when you add all of the numbers together, and than divide it by the amount of numbers there, you will take that 135 and divide it by 15. 135 / 15 = 9. Which gets you to finally getting an answer of 9. so D. 9 is correct.

Answer:

C. 8.5

Step-by-step explanation:

What is the initial value of the function represented by this graph?
O 1
O 5
O 6
O 7

Answers

The picture is black so I can’t see the graph

Based on these boxplots, which of the following is true ? (5 points) The median rating for website B is greater than for website A. The interquartile range for website A is greater than for website B. The ranges for the two websites are the same, The median ratings for the two websites are the same .

Answers

Answer:

A

Step-by-step explanation:

because it's right and you'll get it right so it is a

Find missing side
help quick pls

Answers

Answer:

7m

Step-by-step explanation:

18/6 = 3

24/8 = 3

21/x = 3

21/3 = 7

x = 7


Help please
DONT SEND ANY LINK

Answers

Answer:

This picture represents soldiers raising the flag after the battle of Iwo Jima.

Step-by-step explanation:

This famous photograph is titled Raising the Flag on Iwo Jima. It shows six soldiers raising the flag after the Battle of Iwo Jima on Mount Suribachi during the final parts of the war in the Pacific.

Which one
18ft
26ft
70ft
96ft

Answers

Answer:

c. 70ft²

Step-by-step explanation:

Area of wall needed to be painted

= (12×8) - (2×2×2) - (3×6)

= 96 - 8 - 18

= 70ft²

Select 3 numbers to get the sum of 30, the numbers are 1, 3, 5, 7, 9, 11, 13, 15

Answers

i think there is a trick so the 3 nbs are 9+11+13=33

How's that we need 30

if we flip 9 we get 6

so the answer would be 6+11+13=30

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