You want to paddle a cance across a small lake and want to know how far it is to the other side. You take
measurements on your side of the lake and make the drawing shown. What is the distance x across the lake?

Answer: 9 1/3%

Step-by-step explanation:

Answer:

y = x^4-6

y=1/ x-2

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Supplementary angles are two or more angles whose the addition of their measures add up to [tex]180^{o}[/tex].

Given: <1 and <2.

<1 + <2 =  [tex]180^{o}[/tex] (supplementary angles)

If <1 ≅ <2 (congruent property), then we have;

<1 + <1 =  [tex]180^{o}[/tex]

2<1 =  [tex]180^{o}[/tex]

<1 = [tex]\frac{180}{2}[/tex]

   = [tex]90^{o}[/tex]

<1 = [tex]90^{o}[/tex]

So that since <1 and <2 are congruent, then;

<1 ≅ <2 ≅ [tex]90^{o}[/tex]

Therefore if <1 and <2 are supplementary and congruent, then they are right angles.

Answer:

-1

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

Answer:

The numerator is the number on top of the bottom number (denominator)

Answer:

y = 2

Step-by-step explanation:

(4x+9y)-(4x+5y) = 14-6

4x-4x+9y-5y = 8

4y = 8

y = 2

Hope this helped!

Answer:

x would be 110 degrees as well and its pair would be the angle opposite of it. The other pair of angles would be the ones next to it. Those equal250 degrees.

Step-by-step explanation:

Answer:

a) 67

b) x= -8 and 4

c) 31

Step-by-step explanation:

a) if m<1 = (6x - 5) and m<5 = (5x+7), find m<3.

6x - 5 = 5x + 7

-5x + 5 - 5x + 5

x = 12

6(12) - 5 = 5(12) + 7

72 - 5 = 60 + 7

67 = 67

b) if m<4 = 32 and m<8 = (x^2 - 4x), find x.

32 = x^2 - 4x

- 32 - 32

x^2 - 4x - 32

(x - 8)(x + 4)

x - 8 = 0 x + 4 = 0

+ 8 + 8 - 4 - 4

x = -8 and 4

c) if m<4 = (4x - 17) and m<5 = (5x - 29), find m<1.

4x - 17 = 5x - 29

-5x + 17 -5x + 17

-x = -12

/-1 /-1

x = 12

4(12) - 17 = 5(12) - 29

48 - 17 = 60 - 29

31 = 31

1 meter = 3.28 feet

3 meters x 3.28 = 9.84 feet

5 meters x 3.28 = 16.4 feet.

Area = Length x width

Area = 9.84 x 16.4 = 161.38 square feet.

1 meter = 3.28 feet

3 meters x 3.28 = 9.84 feet

5 meters x 3.28 = 16.4 feet.

Area = Length x width

Area = 9.84 x 16.4 = 161.38 square feet.

Answer:

1. x = ±3

2. x  =  13  over 5

3. –4x + 7

Answer:

1)10

2)10

3) 7

Step-by-step explanation:

Modulus means we always take the positive value for example

|-3| = +3

1) Find the absolute value of |8 + y| when y = 2

[tex]|8+2| \\|10|\\10[/tex]

2) Find the absolute value of |-8 + y| when y = -2

[tex]|-8+(-2)|\\|-8-2|\\|-10|\\10[/tex]

3) Simplify 4 + |x + 2| when x = -5

[tex]4 + |x + 2|\\4+|-5+2|\\4+|-3|\\4+3\\7[/tex]

Answer:

0

Step-by-step explanation:

Answer:

8.5 FPS

Step-by-step explanation:

Answer:8.5%

Step-by-step explanation:

Answer:

0.085

Step-by-step explanation:

I hope this helps! :)

Answer:

c

Step-by-step explanation:

Answer: it is A

Step-by-step explanation:

just took this test

The coordinates of point S" is (-3/2,9/2). Check more about coordinates in a graph below.

The term coordinates is known to be one that is often formed by two parts and it is one that shows direction or the point of a given object.

Conclusively, when you look at the graph, you will see that the coordinates of point S" can only be found in the line of  -3/2,9/2.

Learn more about coordinates from

https://brainly.com/question/17206319

#SPJ2

Answer:

[tex]G(0, -\dfrac{2}{3})[/tex]

Step-by-step explanation:

Given that:

The coordinates of the vertices of a triangle [tex]\triangle PQR[/tex] are given as:

[tex]P(-4, -1)[/tex], [tex]Q(2, 2)[/tex], and [tex]R(2, - 3)[/tex].

To find:

The coordinates of the centroid of the triangle.

Solution:

The coordinates of the centroid of a triangle is given as:

[tex]G(\dfrac{x_1+x_2+x_3}{3}, \dfrac{y_1+y_2+y_3}{3})[/tex]

Where [tex](x_1,y_1), (x_2,y_2)\ and\ (x_3,y_3)[/tex] are the coordinates of the vertices of the triangle.

As per the given values, we have:

[tex]x_1 = -4\\y_1 = -1\\x_2 = 2\\y_2 = 2\\x_3 = 2\\y_3 = -3[/tex]

Putting the values,we can find the coordinates of centroid as:

[tex]G(\dfrac{-4+2+2}{3}, \dfrac{-1+2-3}{3})\\\Rightarrow G(0, -\dfrac{2}{3})[/tex]

Therefore, the coordinates of the centroid is:

[tex]G(0, -\dfrac{2}{3})[/tex]

Answer:

∠A is 55°

∠B is 125°

∠C is 55°

∠D is 125°

Step-by-step explanation:

The two acute angles in a parallelogram are equal, and the two obtuse angles are equal too. The angles in all quadrilaterals add to 360°. Since You're given one of the obtuse angles, multiply that number by 2 (125 × 2 = 250) , then subtract that from 360 (360 - 250 = 110) for the value of BOTH acute angles. Divide that by 2 for each individual acute angle (110/2 = 55)

Answer:

A.55

b.125

c.55

d.125

Step-by-step explanation:

thank you

First difference,

[tex]\Delta_{1} = a_{2} - a_{1} = 3 - 1 = 2 = 1 + 1[/tex]

Second difference,

[tex]\Delta_{2} = a_{3} - a_{2} = 6 - 3 = 3 = 2 + 1[/tex]

Third difference,

[tex]\Delta_{3} = a_{4} - a_{3} = 10 - 6 = 4 = 3 + 1[/tex]

And so on.

Assuming the pattern holds on, we see that

i-th difference,

[tex]\Delta_{i} = a_{i + 1} - a_{i} = i + 1[/tex]

[tex]\implies a_{i + 1} = a_{i} + i + 1[/tex]

Then, nth term is,

[tex]\implies a_{n} = a_{n - 1} + n[/tex]

[tex]= a_{n - 2}+ (n + (n - 1))[/tex]

[tex]= a_{n - 3} + (n + (n - 1) +(n - 2))[/tex]

[tex]= a_{n - (n - 1)} + \sum \limits^{n - 2}_{k = 0}(n - k)[/tex]

[tex]= a_1 + \sum \limits^{n - 2}_{k = 0}n- \sum \limits^{n - 2}_{k = 0}k[/tex]

[tex]= a_1 +n(n -2 + 1 )- \frac{1}{2} (n - 2)(n - 1)[/tex]

[tex]= a_1 +n(n -1 )- \frac{1}{2} (n - 2)(n - 1)[/tex]

[tex]= a_1 +(n -1 )(n- \frac{1}{2} (n - 2))[/tex]

[tex]= a_1 + \frac{1}{2} (n -1 )(2n- n + 2)[/tex]

[tex]= a_1 + \frac{1}{2} (n -1 )(n + 2)[/tex]

[tex]\implies a_{n} = 1 + \frac{1}{2} (n -1 )(n + 2)[/tex]

Now, the 21st term in the sequence is,

[tex]\implies a_{21} = 1 + \frac{1}{2} (21 -1 )(21 + 2)[/tex]

[tex]= 1 + \frac{1}{2} \times 20 \times 23[/tex]

[tex]= 231[/tex]

Answer:

M= -13/9

Step-by-step explanation:

use y=mx+b formula

Answer:

(-5,-8)

Step-by-step explanation:

I hope this helps!!! XD

Answer:

rise over run go up y and right x

Answer:

Its A

Step-by-step explanation:

Answer:

3.) 10

Step-by-step explanation:

8x-2(x+1) = 7x+8

8x-2x-1=7x+8

6x-1=7x+8

-1=1x+8

+1     +1

1x+9

/x

x=1+9

x=10

Answer:

it's -2/5 !

Step-by-step explanation:

Answer:

410 minutes

Step-by-step explanation:

Given that:

Time for which Jesse practices trumpet in the first week = 165 minutes

Time for which Jesse practices trumpet in the second week = 245 minutes

To find:

The total amount of time rounded to the nearest 10 minutes.

Solution:

To find the total amount of time for which Jesse practices, we need to add the time taken for practice in the first week and the time taken for practice in the second week.

Therefore, total time taken = 165 + 245 = 410 minutes

It is already rounded off to the nearest 10 minutes.

Therefore, the answer is:

Total amount of time for which Jesse practices = 410 minutes

Answer:

__1___ - _8___

x + 4 x - 6

x^2 . x ^ + 4

1 - cos^2 (x)

Step-by-step explanation:

hope you the best on it good luck on it and have a good as day :)