Euclid Street is parallel to Lambert Street. City Hall is
located between the streets. From City Hall, a straight
road leads to Euclid Street, intersecting it at a 51°
angle. Another straight road leads to Lambert Street,
intersecting it at a 37° angle. Find X. EXPLAIN and
show your method.

Euclid Street Is Parallel To Lambert Street. City Hall Islocated Between The Streets. From City Hall,

Answers

Answer 1

Answer:

  88

Step-by-step explanation:

Imagine a line through City Hall parallel to the given streets. The angle between that and the path to Euclid Street is 51°, congruent with the alternate interior angle marked 51°.

The angle between our imaginary line and the path to Lambert Street is 37°, congruent with the alternate interior angle marked 37°.

The value of x° is the sum of those two angles:

  x° = 51° +37°

  x = 88

__

Alternate solution

If you extend the path to Euclid Street until it intersects Lambert Street, the alternate interior angle theorem tells you the angle it makes with Lambert Street is 51°. The angle x° is an external angle to the triangle that now has 51° and 37° as remote interior angles. As such, x is the sum of 51 and 37:

  x = 51 +37 = 88

Euclid Street Is Parallel To Lambert Street. City Hall Islocated Between The Streets. From City Hall,

Related Questions

64x-16 I need 3 equivalent expressions

Answers

Answer:

8 (8x - 2)

(64) x X - 16

4 (16 x- 4)

Step-by-step explanation:

Write an equation for the line in point-slope form and then convert it to standard form. through (2, 3) and (3,5)​

Answers

Answer:

equation of the line: 2x - y = 1

Step-by-step explanation:

Given coordinates: (2, 3) and (3,5)​

find slope of the equation:

[tex]\frac{y2-y1}{x2-x1}[/tex]

using the formula:

→ [tex]\frac{5-3}{3-2}[/tex]

→ [tex]2\\[/tex] .............this is slope, also refereed as (m) in short form.

using the equation formula:

y - y1 = m ( x - x1 )

using the formula:

→ y - 3 = 2 ( x - 2 )

→ y - 3 = 2x - 4

→ y = 2x -4 +3

→ y = 2x - 1

→ -2x + y = -1

→ (-2x + y)/-1 = -1 /-1             [ divide both sides by -1 ]

→ 2x - y = 1  .......final answer in standard form where ( Ax + By = C ) where "A" should be positive and "C" constant on the right hand side.

Find the value please and ty

Answers

Answer:

-3

Step-by-step explanation:

The value of f(-3) can be found at looking at the x-value of -3, then drawing a vertical line. If you look at the point where the vertical line hits th graph, you get the point (-3,-3)

The y-value is what we are looking for, which is -3.

-Chetan K

Please help me with this math problem!! NO LINKS PLEASE!! I will give brainliest!!

Answers

Answer:

z = 7, x = 3, y = 20

Step-by-step explanation

3z + 5 = 26

3z = 21

z = 7

NP = NQ x 2

8x - 4 = 4x + 8

4x = 12

x = 3

y = pq/2

p = y; q = 10

10 x 2 = 20

y = 20

I hope this helps!

Can anybody help me with this

Answers

Answer:

c ≈ 9.1 m

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

c² = 4.1² + 8.1² = 16.81 + 65.61 = 82.42 ( take square root of both sides )

c = [tex]\sqrt{82.42 }[/tex] ≈ 9.1 m ( to the nearest tenth )

6/9×1/2=
please simplify
please and thank you

Answers

Answer:

1/3

Step-by-step explanation:

[tex]\frac{6}{9}*\frac{1}{2}[/tex]

[tex]\frac{6*1}{9*2}[/tex]

[tex]=\frac{6}{18}[/tex]

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(6,18) = 6

[tex]\frac{6/6}{18/6}=\frac{1}{3}[/tex]

Therefore:

[tex]\frac{6}{9}*\frac{1}{2}=\frac{1}{3}[/tex]

[RevyBreeze]

aayan gets 48 out of 60 in his music exam. state the result as a percentage

Answers

Answer:

It can be set up as: 48/60

But it can also written as 48 divided by 608. When we put a percent sign we always move the decimal to the right two places. The percentage is 80%

The Amount of sales tax on a new car varies directly to the purchase price of the car. On a 25,000 car, sales tax is 1,750. What's the purchase price of a new car with 3,500 in sales tax?

Please show your work because I still don't understand it and don't know how to do it.

Answers

Answer:

50,000

Step-by-step explanation:

1st car had $1,750 tax

2nd car has $3,500 tax

1750(2) = 3500

 

so your tax doubled so the price must be doubled.

The car is $50,000

Algebraically using direct variation:

 

t = kp    where t=tax, p = purchase price, 

             and k is constant of variation

 

1750 = 25000k

k = 1750/25000

k = 0.07

 

Your equation is:  t = 0.07p

3500 = 0.07p

p = 3500/0.07

p = $50,000

Can someone help me!?

Answers

Answer:

A

Step-by-step explanation:

Set equation equal to 0

Mary sold 50 tickets for the school play Student tickets cost $2 and adult tickets cos $ 5. Mary's sales totaled $ 154.00. How many adult tickets and how many student tickets did Mary sell?

Answers

Answer:

the correct answer is that mary sold 18 adult tickets and 32 student tickets

if she sold 18 adult tickets it would be 90 dollars, and if she sold 32 student tickets she would get 64 from that, if we add the amount of people that bought tickets and how much she got it would work out

with 18 adults+32 students being exactly 50

and 90+64 being 154.

I tried different solutions, I did 18 adults and 32 Students, since there are 50 tickets sold, this is the correct answer since if we do this the amount she makes from the adults will be 90 and she will make 64 from the students this will add up to $154

for each order, the website applies a 7. 7% sales tax to the price of the cards

Answers

Answer:

what's the full question...?

Step-by-step explanation:

what is the full question?

can you please tell me how to do easy way can you please show me in numbers how to multiply ​
[tex] \frac{2 }{3} - \frac{1}{9} [/tex]

Answers

same as before, we look at the denominators, hmmm do a quick prime factoring.

3 = 3 * 1

9 = 3 * 3 * 1

since 9 already contains 3 and 1, we can us that

[tex]\cfrac{\underline{2}}{3}~~ - ~~\cfrac{1}{9}\implies \cfrac{(2)\underline{2}~~ - ~~(1)1}{\underset{\textit{using this LCD}}{9}}\implies \cfrac{4-1}{9}\implies \cfrac{\stackrel{1}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{3}{~~\begin{matrix} 9 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{1}{3}[/tex]

It will be lovely if anyone would help?

Answers

Answer:

yes

Step-by-step explanation:

I would help. Just give me the question

How do you solve?
2.5 x 1/4=

Answers

here you go, hope this helps

If line q bisects EG at point T, and if ET= 1/3 x and TG= x-2, then find EG

please help I have no idea how to do this its geometry problem for my math hw even my parents and siblings who are older than me don't know how to do this

Answers

Answer:

EG = 2 units

Step-by-step explanation:

Given that line q bisects EG at T , then

ET = TG  ( substitute values )

[tex]\frac{1}{3}[/tex] x = x - 2 ( multiply through by 3 to clear the fraction )

x = 3x - 6 ( subtract x from both sides )

0 = 2x - 6 ( add 6 to both sides )

6 = 2x ( divide both sides by 2 )

3 = x

Then

ET = [tex]\frac{1}{3}[/tex] x = [tex]\frac{1}{3}[/tex] × 3 = 1

TG = x - 2 = 3 - 2 = 1

Thus

EG = ET + TG = 1 + 1 = 2 units

EG = [tex] \frac{4x}{3} - 2[/tex]

Step-by-step explanation:

( First check the attached image for diagram )

[tex]EG=ET+TG[/tex]

Substituting the given values,

[tex]EG = \frac{1}{3}x + (x - 2)[/tex]

Opening the brackets and multiplying,

[tex]EG = \frac{1 \times x}{3} + x - 2 [/tex]

[tex] = > EG = \frac{x}{3} + x - 2[/tex]

Finding LCM,

[tex] = > EG = ( \frac{x}{3} + \frac{x \times 3}{1 \times 3} ) - 2[/tex]

[tex] = > EG = ( \frac{x}{3} + \frac{3x}{3}) - 2[/tex]

Combining them,

[tex]EG =( \frac{x + 3x}{3}) - 2[/tex]

[tex]EG = \frac{4x}{3} - 2[/tex]

Note:- T is midpoint of EG

because ET = TG

Please help me asap!

Answers

Answer:

[tex]-3+2\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{3} -\sqrt{6}}{\sqrt{3} +\sqrt{6}}[/tex]

[tex]=\frac{(\sqrt{3} -\sqrt{6})(\sqrt{3} -\sqrt{6})}{(\sqrt{3} +\sqrt{6})(\sqrt{3} -\sqrt{6})}[/tex]

[tex]=\frac{9-6\sqrt{2} }{-3}[/tex]

[tex]=\frac{3(3-2\sqrt{2} )}{-3}[/tex]

[tex]=-(3-2\sqrt{2})[/tex]

[tex]=-3+2\sqrt{2}[/tex]

1.5 divided by 12
i want an explanation cuz i don't know how to divide a small decimal with a larger number

Answers

Step-by-step explanation:

1.5 ÷ 12

1½÷12

³/²÷12

3/2 *1/12

3/24

1/8

well it’s 0.125, what you do is
__
12| 1.5 you bring the decimal up
. —
12| 1.>>5 = 15 :)
.1
12| 15
- 12
30
.12
12| 15 0 0|
|
|
- 12
30
- 24
60
.125

-
Find the 7th term of the arithmetic sequence – 2x – 1, 4x – 5, 10x - 9, ...
Help

Answers

34x-25 is the answer

Explanation in image

Average house prices in Hobart are expected to grow by 8%
per year for the next 5 years. What is the expected average
value of a house in Hobart in 5 years time, to the nearest
dollar, if it is currently valued at $370000?

Answers

Answer:

518000 if it increases 8% per year

Step-by-step explanation:

8 times 5, because there are 5 years, is 40%

we take 40% out of 370000 and we get 148000 then we add 370000 and 148000 together and we get 518000

HELP ME NOWWW PLS K12

Answers

Answer:

2 units

Step-by-step explanation:

Graph the solution to this inequality on the number line.

−12≥−4p

Answers

Answer:

A closed circle on 3 going right.

Step-by-step explanation:

-12 ≥ -4p

/-4   /-4

3 ≤ p which also mean p ≥ 3

This will be a closed circle on 3 going right.

Hope that helps!

Alexa put $850 into savings account that earns 0.75% annual simple interest. If Alexa doesn’t make any deposits or withdrawals for 18 months, how much money will be in her account?

Answers

Principal= 850

rate = 0.75%

period = 18months

interest = 850x0.75%x18

= 850x0.0075x18

= 114.75

amount after 18 months

= 850+114.75 = $964.75

NIE
VIEW
(Score for Question 3: of 5 points)
Admissions to a zoo cost $12 for adults and $8 for children. A group of 34 people attending the zoo paid a
total of $312 in admission fees
(a) Write and solve a system of equations that model the problem. Show all your work,
(b) How many adults went to the zoo?
(c) How many children went to the zoo?
Answer:

Answers

Hi!

Please see the attached image for your answer with explanation.

Have a great day!

If a(x)=5x^2+7x+4 and b(x)=4x^2+3x+2
Then 4a(x) + 2b(x) =

Answers

Answer:

[tex]28x^2+34x+20[/tex]

Step-by-step explanation:

figure out 4a(x) and 2b(x) separately by distributing, and then add them together to get your answer.

hope this helps :)

Order the numbers from least to greatest. -1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. -1.95, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95, -1 WOMALOWAS Please select the best answer from the choices provided B c D​

Answers

Answer:

Step-by-step explanation:

uhhhh O-1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. 1.95-, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95

The larger the negative number, the lower the value the number actually is.


Answer: b. -1.95, -1.895, -1

Convert the statement into if-then form, "Squares have right angles."

Answers

Answer:

If the shape is a square, then it has right angles.

Answer:

If a shape is a square, then it has right angles.

Step-by-step explanation:

Hi there!

The statement 'squares have right angles' tells us that any and all squares have right angles. Therefore, if a shape is a square, then it has right angles.

I hope this helps!

six tickets were purchased a total cost pf $345. the cost of each ticket includes a $11.25 fee. what was the price of each ticket before the fee was applied?

Answers

Answer:

57.50

Step-by-step explanation:

simply divide 345/6 which equals 57.5 which is 57.50

Answer:

price before fee was applied is $46.25

Step-by-step explanation:

$345/6= $57.5

divide total cost by number of tickets bought

$57.5-$11.25= $46.25

subtract the fee applied

Need help with this question ASAP for geometry!

Can the triangles be proven similar?

Answers

#1, they are similar by SAS

What is the radius and diameter of 11cm

Answers

I believe it is 5.5cms

Step by Step Explanation:
11 divided by 2 is 5.5cms
The diameter of a circle ⭕️ is two times its radius.

Hope this helps!!!!

Answer: Radius=11cm Diameter=22cm

Step-by-step explanation:

4) Shown below is a series of steps to solve the equation 4x + 2(x - 4) = 28.
Given: 4x + 2(x - 4) - 28
Step 1 = 4x + 2x - 8 = 28
Step 2 => 6x - 8 = 28
Step 3 => 6x - 8 + 8 = 28 + 8
Step 4 = 6x = 36
6x36
Step 5
6 6
Step 6 => x = 6
Which THREE statements are correct?
A) Step 1 is justified by the distributive property.
B) Step 2 is justified by the subtraction property of equality
C) Step 3 is justified by the addition property of equality
D) Step 4 is justified by the additive Identity property.
E) Step 5 is justified by the division property of equality

Answers

It is a! I did this assignment and got it right that’s how I know!
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