Mathematics College

Highland Park is located between two parallel streets, Walker street and James Avenue. The park faces Walker Street and is bordered by two brick walls that intersect James Avenue at point C, as shown below. Walker St. Highlands Park brick wall brick wall 60 James Ave. What is the measure, in degrees, of ZACB, the angle formed by the park's two bri walls?​

Answers

Answer 1

Applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.

Recall:

Alternate angles are congruent and have equal angle measures.Angles on a straight-line = 180 degrees.

The diagram showing the information and sketch of the Highland Park is attached below (see attachment).

Thus:

m<BAC = 36° (given)

m<BCE = 60° (given)

<ACD = <BAC (alternate angles)

Therefore,

m<ACD = 36°

m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)

Substitute

m<ACB = 180° - (36° + 60°)

m<ACB = 84°

Thus, applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.

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Highland Park Is Located Between Two Parallel Streets, Walker Street And James Avenue. The Park Faces

Related Questions

Is the ordered list 26, 39, 52, 65, 78 an arithmetic sequence?

Answers

Answer:

Yes

Step-by-step explanation:

It is an arithmetic sequence since it has a common difference which is 13.

78-65 = 13

65-52 = 13

52-39 = 13

39-26 = 13

Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does he have?​

Answers

9514 1404 393

Answer:

  16 nickels

Step-by-step explanation:

Robert can group his coins into groups consisting of 1 nickel and 4 pennies. The value of each group is 9¢, so the number of groups Robert can make is ...

  $1.44/$0.09 = 16 . . . groups

Since there is 1 nickel in each group, Robert has 16 nickels.

Answer:

16

Step-by-step explanation:

PLZ HHHHHELP POINTSSS HERE

Answers

Answer:31

Step-by-step explanation:

Because

If u add 31+31=62

And 62+118=180

Brainliest please

Their measure is 31 degrees because there are 180 degrees in all angles combined and when you subtract 118 from 180, you get 62. That means both of the other angles combined is 62. To find each of the angles, just divide 62 by 2 and you’ll get 31.

Please help asap! Solve for x and y

Answers

Answer:

Step-by-step explanation:

You are working with a square. All 4 sides are equal

2x+ 1 = 4x - 7         Subtract 2x from both sides

1 = 4x - 2x - 7         Combine

1 = 2x - 7                Add 7 to both sides

1 + 7 = 2x               Combine

2x = 8                    Divide by 2

2x/2 =8/2

x = 4

The diagonals of a square bisect the 90 degree angle.

7y + 3 = 45           Subtract 3 from both sides

7y = 45 - 3            Combine

7y = 42                 Divide by 7

y = 42/7

y = 6

What’s the common ratio of the geometric sequence?
-4,-8,-16

Answers

Hello! :)

A geometric sequence is a sequence where you use multiplication or division to get to the next term.

-4, -8, -16...

Here, we multiply every number by 2. So the common ratio is 2.

Hope it helps, and let me know if you have any queries.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex] here to help

Answer:

The answer is 2.

Step-by-step explanation:

To get the common ratio, simply dividing each number in the sequence from the number preceding it.

-4, -8, -16

-16 ÷ -8 = 2

- 8 ÷ -4 = 2

Prove: The square of an even number is even

Answers

Squares of even numbers are even, and are divisible by 4, since (2n)2 = 4n2. Squares of odd numbers are odd, and are congruent to 1 modulo 8, since (2n + 1)2 = 4n(n + 1) + 1, and n(n + 1) is always even.

X is the random number of times a coin with heads probability 1/4 is tossed till the first heads appears, find: g

Answers

Is there more to this question? I feel as if part of it is left out

12. Suppose a computer manufacturer has the total cost function C(x) = 65x +3500 and the total revenue function
R(x) = 365x, where x represents the number of computers produced and sold. What is the profit on 326 items?
a. $86,500
b. $101,300
c. $94,300
d. $1,238,800
$143.680

Answers

Cost is 65x + 3500 where x is = 326.

65(326) + 3500

21,190 + 3500 = $24,690 is the cost.

Revenue is 365x where x is 326.

365(326) = $118,990

Now we subtract the two:

118,990 - 24,690 = $94,300

This means that the answer is C) $94,300.

I hope this helps! :)

The sum of the speed of two trains is 725.6miles per hour. If the speed of the first train is 6.4 mph faster than that of the second train find the speeds of each

Answers

Step-by-step explanation:

change it in meter and solve it

do anyone know what’s the answer to this problem ?

Answers

your answer is -4
i tried to explain it best i could in the picture

A​ bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly​ selected, find the probability of a rating that is between 200 and 275. Round to four decimal places. A. 0.4332 B. 0.0668 C. 0.5000 D. 0.9332

Answers

P(200 ≤ x ≤ 275) = 0.4332

The table shows a proportional relationship between x and y what is the unit rate of y per x ( 4, 5 , 6 , 7 ) (8 , 10 , 12 , 14 ) ?

Answers

Answer:

6

Step-by-step explanation:

You buy a $266,000 home with a down payment of 21%. Find the amount of the down payment and the mortgage amount.
down payment
$
mortgage
$

Answers

Answer:

down is #0.21 while mortage is

9.
Identify the point corresponding to Q.



A. Q′ (−3, −2)

B. Q′ (−2, −1)

C. Q′ (1, −1)

D. Q′ (−3, 2)

Answers

The answer is d have a good day

Answer:

B. Q′ (−2, −1)

Step-by-step explanation:

I looked at the graph, this is as close as I could get to my answer. I'm so sorry if it is wrong.

A 60 cm bamboo is divided in the ratio 4: 2 . What is the length of the longer piece?

Answers

Answer:

40

Step-by-step explanation:

If an amount of $25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $28,500? The function describing your balance is M(n) =25,000(1+0.04/2)^2n, where n is time in years. Round up your answer to the next period.

Answers

It will take 3 years and 4 months to accumulate $ 28,500.

To determine, if an amount of $ 25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $ 28,500, the following calculation must be performed:

25,000 x (1 + 0.04 / 2) ^ (2X) = 28500 25000 x 1.02 ^ 2X = 28500 1.02 ^ 2X = 28500/25000 1.02 ^ 2X = 1.14 1.02 ^ 6.62 = 1.14 6.62 / 2 = X 3.33 = X

Therefore, it will take 3 years and 4 months to accumulate $ 28,500.

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HELP ASAP


In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class, how many boys are there?
A
20
B
30
C
18
D
16

Answers

Answer:

C 18

Hope this helps

Mark has 6 more quarters than dimes in his pocket. In total, he has $3.60. Find the number of quarters and
dimes Mark has. All work must be shown.

Answers

Answer:

Mark has 12 quarters and 6 dimes.

Step-by-step explanation:

4 people are going to a dinner party. Each person at the party will eat pound of pasta. If you can only buy whole pounds of pasta, how many pounds should you buy?​

Answers

Answer:

4 pounds 1 pound for each person

Which methods of evaluating a capital investment project ignore the time value of money?

Answers

Answer: Varies

Step-by-step explanation:

It involves any that is not concerned with making a profit.

Function or non functional???

Answers

Answer:

The relation is a function.

Step-by-step explanation:

In the given relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)}:

A relation is a function for which none of the ordered pairs have the same first component and different second components.  

In the given relation:

The first component comprises of: {A, B, D, F, G}. The second component comprises of: {8, 8, 5, 5, 8}.

The given relation represents a function since none of the first components  have the same corresponding second components.  In other words, there are no repeating values of A, B, D, F, and G. Each of these values has its own corresponding second component.  

Therefore, the relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)} is a function.


Sara earns $12.75 per hour at her job. She works 18 hours each week. While at work, she parks her car in a garage that charges $10.50 every 3 hours.
After paying for parking, how much does Sara earn each week?
A.$198.00
B.$229.50
C.$166.50
D.$261.00

Answers

C

She earns $229.50 each week, since 12.75•18 is 229.50. If the garage charges $10.50 every 3 hours, and she works 18 hours, she would have to pay $63 for parking. 229.50 - 63 = $166.50 each week.

9514 1404 393

Answer:

  C.  $166.50

Step-by-step explanation:

The rate Sara pays for parking is ...

  $10.50/(3 hours) = $3.50 /hour

So, Sara's net pay, after paying for parking, is ...

  $12.75/hour - 3.50/hour = $9.25 /hour

If she works 18 hours per week, her net earnings are ...

  (18 h)($9.25/h) = $166.50 . . . . weekly earnings


Which equation repersentes a
linear function?

Answers

Answer:

The formula y = mx + b is said to be a linear function

Step-by-step explanation:

Answer:

D. is a linear function

Step-by-step explanation:

A. rational function

B. quadratic function

C. cube root function

Dependent Task:

Directions: Write the place value and the value of the underlined digit.

Number PLACE OF VALUE VALUE
1. 0.345 _____________ _____
2. 0.3469 _____________ _____
3. 0.6ó54 _____________ ______


(UNDERLINED DIGIT)
1. 5
2.3
3.4


please​

Answers

Answer

Use your mind  

Nobody wants to help you, especially since you are no help to others.

.........................

Answers

Answer:

[tex]2[/tex]

Step-by-step explanation:

Let [tex][n][/tex] denote the area of some polygon [tex]n[/tex].

The sum of the area of quadrilaterals BCDE and MNDE is equal to [tex][ABC]-([MBE]+[NDC]+AMN])[/tex] (big triangle subtracting the three smaller triangles that aren't part of BCDE or MNDE).

Let the area of triangle ABC be [tex]\alpha[/tex].

Triangle AMN is similar to triangle ABC. Because their side lengths are in ratio 1:2 respectively, the ratio of the area of triangle AMN to triangle ABC is [tex]1:2^2=1:4[/tex].

Therefore, [tex]\displaystyle [AMN]=\frac{1}{4}[ABC]=\frac{1}{4}\alpha[/tex].

Now for triangle NDC, NDC is similar to triangle AMC. Since M is the midpoint of AB, AMC is half the area of ABC. The ratio of the side lengths between triangle NDC and triangle AMC is [tex]1:2[/tex] because the D is the midpoint of MC, so it follows the ratio of their areas must be [tex]1:4[/tex], respectively.

Therefore, [tex]\displaystyle[NDC]=\frac{1}{4}[AMC]=\frac{1}{8}[ABC]=\frac{1}{8}\alpha[/tex].

We can use the same concept for triangle MEB. Triangle MEB is similar to triangle ANB, and the ratio of their sides is also [tex]1:2[/tex], since E is the midpoint of BN. Their areas are in the ratio [tex]1:2^2=1:4[/tex] and we have [tex]\displaystyle [MBE]=\frac{1}{4}[ANB]=\frac{1}{8}\alpha[/tex].

Thus,

[tex]\displaystyle \frac{[ABC]}{[BCDE]+[MNDE]}=\frac{\alpha}{\alpha-\frac{1}{4}\alpha-\frac{1}{8}\alpha-\frac{1}{8}\alpha}=\frac{\alpha}{0.5\alpha}=\frac{1}{\frac{1}{2}}=\boxed{2}[/tex]

-4= 6 + b I need help in this question

Answers

-4=6+b

Subtract 6 on both sides.

-10=b

The final answer is b=-10.

Hope this helped!! :)

Simplify the expression.

6(12 – 3) + 4 + (3 × 2)

64
96
144
208

Answers

Answer:

64

Step-by-step explanation:

6(12-3) + 4 + (3×2)

6(9) + 4 + 6

54 + 4 + 6

= 64

What is the equation of the line shown in this graph?

Answers

Answer:

y = 1

Step-by-step explanation:

Find the product.
-8x5y2 · 6x2y

-8x10y2

-8x7y3
-48x7y3

-48x10y2
Find the product.
(3a4 + 4)2

6a4 + 8

9a8 + 16
9a8 + 24a4 + 16

9a16 + 24a4 + 16

Answers

Answer:

4 better explanation inbox

Step-by-step explanation:

Evaluate the expression
-4-4i /6i and write the result in the form a + bi.

Answers

Answer:

-(2/3) + (2/3)i

Step-by-step explanation:

( -4 - 4i) / 6i

multply by i/i

(-4i - 4i^2) / 6i^2

since i^2 = -1

(-4i + 4) / -6

(4 - 4i) / -6

Reduce fraction

-(2/3) + (2/3)i

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