Jan skips 5 m north, 4 m east, 6 m north, 16 m east, and 4 m north. How far is Jan from where
she started?

help asap!!

Two lines are said to be perpendicular if they are at right angle to each other. The prove that PQ = TS is as stated below:

SR ⊥ QT   (given)

QR ⊥ PS  (given)

Comparing Δ PQS and ΔQST, we have:

Points Q and T are equidistant to bisector SR (bisection property of a line)

Points P and S are equidistant from QR (bisection property of a line)

QS is a common side to the triangles

Then,

PS ≅ QT (similar property of triangles)

Thus,

PQ ≅ ST (Side-Side-Side (SSS) property of triangles)

Therefore by Side-Side-Side (SSS) theorem, PQ = ST.

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Answer:

00000

Step-by-step explanation:

Answer:

[tex]A)13[/tex]

Step-by-step explanation:

[tex]4(x+2)-6=x+41[/tex]

[tex]→4x + 4 \times 2 - 6 = x + 41[/tex]

[tex]→4x + 8 - 6 = x + 41[/tex]

[tex]→4x + 2 = x + 41[/tex]

[tex]→4x + 2 - x = x + 41 - x[/tex]

[tex]→4x - x + 2 = x - 41 - x[/tex]

[tex]→3x + 2 = x + 41 - x[/tex]

[tex]→3x + 2 = 41[/tex]

[tex]→3x + 2 - 2 = 41 - 2[/tex]

[tex]→3x - 39[/tex]

[tex]→ \frac{3x}{3} = \frac{39}{3} [/tex]

[tex]→x = \frac{39}{3} [/tex]

[tex]→x = 13[/tex]

Answer:

3

Step-by-step explanation:

72÷8=9

3×y=9

3=y

I hope this helps

Answer:

6/5

Step-by-step explanation:

He reads 1.2 page every 1 minute, 1.2X15(mins)=18 page.

Answer:

1) x = 13 (because other angle of the triangle is 45°.Then the foots faced to equal angles are equal)

Then we can calculate y by pythagoras law

[tex] {y}^{2} = {x}^{2} + {13}^{2} \\ {y}^{2} = {13}^{2} + {13}^{2} \\ y = \sqrt{2 \times 169} \\ y = 13 \sqrt{2} [/tex]

We can get answers for others by this way. If you want others answers text me in comment box

Answer:

m∠2 = 17°

Step-by-step explanation:

y + 10 = 3y - 24

34 = 2y

17 = y

Step-by-step explanation:

Answer:

8 ft. 5 in.

Step-by-step explanation:

First, let's change everything to inches

[] 3 ft. 8 in -> 3 * 12 = 36, 36 + 8 = 44 inches

[] 4 ft. 9 in -> 4 * 12 = 48, 48 + 9 = 57 inches

Now, we can add

44 + 57 = 101 inches

Last, we will simplify

101 -> 8 feet and 5 inches

Have a nice day!

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- Heather

The equivalent expression will be;

⇒ m + 13 = 18 - 4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ m + 17 = 18

Now,

Since, The expression is,

⇒ m + 17 = 18

Solve for m as;

⇒ m + 17 - 17 = 18 - 17

⇒ m = 1

For option (i);

The expression is,

⇒ m + 7 = 18 - 12

⇒ m + 7 = 6

⇒ m = - 1

For option (ii);

The expression is,

⇒ m + 6 = 18 - 10

⇒ m + 6 = 8

⇒ m = 2

For option (iii);

The expression is,

⇒ m + 17 - 2 = 17

⇒ m + 15 = 17

⇒ m = 2

For option (iv);

The expression is,

⇒ m + 13 = 18 - 4

⇒ m + 13 = 14

⇒ m = 1

Thus, The equivalent expression is,

⇒ m + 13 = 18 - 4

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The equivalent expression of m + 17 = 18 is determined as m + 13 = 18 - 4 (Option D).

An equivalent expression refers to a mathematical or algebraic expression that has the same value or meaning as another expression, despite potentially having a different appearance or form.

The equivalent expression is calculated as

m + 17 = 18

Solve for m as;

m + 17 - 17 = 18 - 17

m = 1

So we are going to solve all the equations and the one that has the value of m equal to 1 is the equivalent expression.

Solving for option (1)

m + 7 = 18 - 12

m = -1

Solving for option (4)

m + 13 = 18 - 4

m + 13 = 14

m = 1

Thus, the equivalent expression is m + 13 = 18 - 4

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Answer:

x = 21 and both sides are 53 units long

Step-by-step explanation:

They are congruent, so they are equal, so

3x-10=x+32 then solve for x

2x=42

x=21

then plug x into each side to get its length

3x-10=3(21)-10=53

x+32=21+32=53

You would expect them to be the same since they are congruent

Answer:

1 = x

Step-by-step explanation:

First eliminate the fractions by multiplying both sides by the LCD, which is 4:

x + 1 = 2x

Subtracting x from both sides yields 1 = x

Answer:

w/11+10=10w/11=0•w=10

Answer:

4/3

Step-by-step explanation:

216/162 216 is divisible by 54 and so is 162 so if you divide both by 54 you get 4/3

Answer:

4/3

Step-by-step explanation:

lowest terms is 4/3 e e e. e

Answer:

200

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

5 action+4 comedy+3 drama= 12 total movies

12 will be the denominator of our fraction.

The question asks: What is the probability that the movie she selects is NOT a drama?

So, we add the number of action and comedy movies.

5+4=9

9 is our numerator.

But wait! We have to simplify the fraction 9/12!

9 divided by 3= 3

12 divided by 3= 4

Reduced answer: 3/4

Answer:

x = 12

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

8 + 6x is an exterior angle of the triangle , then

8 + 6x = 30 + 4x + 2

8 + 6x = 32 + 4x ( subtract 4x from both sides )

8 + 2x = 32 ( subtract 8 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Answer:

No

Step-by-step explanation:

For something to be a function, there must be no duplicate x values, or if there is they must represent the same y. The table has a duplicate value of 2 so it is not a function.

I hope this helps!

Answer:

£60 per day

Step-by-step explanation:

1 week = 5 days

Dan earned = £300

therefore 1 day = 300 ÷ 5 = £60 per day

Answer:

0.62982 monthly price increase

Step-by-step explanation:

Answer:

Reminder: [tex]log _a x[/tex] answers the question: "what power do I have to raise a to in order to get x?"

Thus said.

[tex]1. \ 64= 2^6 = 4^3 \implies log_464=3\\2. \ 5^1 = 5 \implies log_55 = 1\\3.\ 3^1=3; \ 2^1=2 \implies Log_33 + log_22 = 1+1=2\\4.\ 5^1=5; \ 8^1=8 \implies log_55 - log_88=1-1=0\\5. \ 8=2^3; 32=2^5 \implies log_28+log_232 = 3+5=8[/tex]

Last one, if you already talked about log properties, can be handled as:

[tex]log_28+log_232= log_2(8\times32) = log_2256 =8\ (256=2^8)[/tex]

Answer:

yeeeeee

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the slope-intercept form:

In the equation y=mx+b, b is the coordinate on the y-axis where the graph crosses the y-axis and m denotes the slope of the line. The x and y represents all the (x, y) order pairs that graph points.

Substitute x for 0 to find the pair (0, Y). y=3(0)+4 Since 3 times 0 is 0, y will equal 4.

y=3(-1)+4 ⇒-1,1 y=1

y=3(0)+4 ⇒0,4 y=4

y=3(1)+4 ⇒ 1, 7 y=7

y=3(2)+4 ⇒ 2, 10 y=10

y=3(3)+4 ⇒ 3, 13 y=13

Answer:

Sami can make 7 necklaces.

233.8cm ÷ 33.4 = 7

Answer:

residual is a quantity remaining after other things have been subtracted.

Answer: A residual is a measure of how well a line fits an individual data point. This vertical distance is known as a residual. For data points above the line, the residual is positive, and for data points below the line, the residual is negative.

Step-by-step explanation: