Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:

Answer:

92 minutes

Step-by-step explanation:

"Roughly" 17,150 miles per hour

(which is about 5 minutes per second)

this means that the space station orbits Earth once every 92 minutes.

hoped that helps you and God bless

Answer:

1439.4702≈1439

Answer:

3600

Step-by-step explanation:

125%=4500

5*25%=4500

25%=900

125%-25%=100%

4500-900=3600

Answer:

14.76 cm

Step-by-step explanation:

Use the pythagorean theorem:

a² + b² = c²

Plug in the side lengths and solve for c:

7² + 13² = c²

49 + 169 = c²

218 = c²

14.76 = c

So, the hypotenuse is approximately 14.76 cm

Answer:

If my calculations are correct, $5415.75 of interest was paid throughout 6 years.

Step-by-step explanation:

7.25% of 12,450 is 902.625.

If the interest being paid was the 7.25% of 12,450 throughout the 6 years then the answer is 902.625 x 6 ( the amount of years ) = $5415.75.

In other cases such as 7.25% of the new number of invested money after the loss of 902.625 then this answer is wrong, but I solved as I understood.

Hope this helps.

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Answer: A. f(n) = 4 ∙ 2n-1

Step-by-step explanation:

because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.

9514 1404 393

Answer:

  y = 7/3x +13/3

Step-by-step explanation:

The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...

  m = -1/(-3/7) = 7/3

The y-intercept of the perpendicular line can be found from ...

  b = y -mx

  b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3

Then the slope-intercept equation of the perpendicular line is ...

  y = mx +b

  y = 7/3x +13/3

_____

Additional comment

You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...

  y -k = m(x -h)

For our perpendicular line, the equation is ...

  y +5 = 7/3(x +4)

Answer:

y = 2x + 1

Step-by-step explanation:

Hope this helps!

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.

Answer:

8.7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Draw an angle of 15° like this (∠) on a piece of paper, label this angle J, extend the base of the triangle and label the hypotenous 11cm (JK). Do you get the solution now? If no, here is an explanation.

This problem can be explained with sin law,

[Assume KL = 4cm]

(sin15)/4 = (sinL)/11

L = 45.4° or 135° (3 sig. fig.)

Since we got 2 possible case for the angle L, there are two possible set of triangles. Hope this will help you understand more about the problem, comment below if you still have any questions.

Answer:

438.4

Step-by-step explanation:

100% + 37% = 137% = 1.37

320 x 1.37 = 438.4

so the answer that I got is 438.4

I really hope this helps

Answer:

No, it would be 72

Step-by-step explanation:

In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)

Pls give brainliest

Answer:

[tex]Area = 455.11\ in^2[/tex]

Step-by-step explanation:

Given

[tex]Patches = 8\ by\ 8[/tex]

[tex]Length = 2\frac{2}{3}\ in[/tex] each

Required

The area of the quilt

First, calculate the length of the quilt.

[tex]Length = 8 * 2\frac{2}{3}[/tex]

[tex]Length = 8 * \frac{8}{3}[/tex]

[tex]Length = \frac{64}{3}[/tex]

Next, the width

[tex]Width= 8 * 2\frac{2}{3}[/tex]

[tex]Width= 8 * \frac{8}{3}[/tex]

[tex]Width = \frac{64}{3}[/tex]

The area is then calculated using:

[tex]Area = \frac{64}{3} * \frac{64}{3}[/tex] i.e. Length * Width

[tex]Area = \frac{4096}{9}in^2[/tex]

[tex]Area = 455.11\ in^2[/tex] --- approximated

Answer:

17 units

Step-by-step explanation:

Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.

Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg.  We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:

d = √(15² + 8²) = √289 = 17

The distance between the given points is 17 units.

Answer:

250x+1000

Step-by-step explanation:

The linear equation that represents the total amount paid is 1000 + 250x.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given,

Amount of down payment = $1000

Per month payment = $250

For x number of months = $250x

Total paid = 1000 + 250x

Hence "The linear equation that represents the total amount paid is 1000 + 250x".

For more about the equation,

brainly.com/question/10413253

#SPJ5

Answer:

You simply take the values away from 180°.

a) 180-85-65 = 30°

b) 180-37-63=80°

c) 180-52-78=50°

d) 180-102-58=20°

e) 180-100-60=20°

f) 180-105-25=50°

g) 180-127-23=30°

Answer:

n = 15

Step-by-step explanation:

A straight line equals 180 degrees

Angle SWT is congruent to angle XWV meaning:

SWT (55 degrees) = XWV (55 degrees)

Set up an equation:

3n + 80 + 55 = 180

Combine like terms

3n + 135 = 180

Subtract both sides by 135 to isolate variable n

3n = 45

Divide both sides by 3 to isolate variable n

n = 15

Answer:

24cm

Step-by-step explanation:

The ribbons they both have can be found by adding 15 to 9

15 + 9 = 24cm

Answer:

3 both sides

Step-by-step explanation:

Answer:

i cant estimate it but i think 4

Answer:

the other person is right hope this cockledodledoes your day

Answer:

f(x) = x² - 14x + 43

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (7, - 6 ) , then

f(x) = a(x - 7)² - 6

Since the parabola opens upwards then a > 0

let a = 1

f(x) = (x - 7)² - 6 ←in vertex form

f(x) = x² - 14x + 49 - 6

f(x) = x² - 14x + 43 ← in standard form

Answer:

The length of the arc is approximately 2.0944

Step-by-step explanation:

The given parameters are;

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°

The circumference of the circle, C = 2·π·r

∴ C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

∴ l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.0944

The length of the arc is approximately 2.09

From the question, we have the following parameters

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

The line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

Determine the subtended angle

The angle subtended by the arc is expressed as:

θ = 2 × arctan((√3/2)/(1/2))

θ = 120°

The circumference of the circle, C = 2·π·r

C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.09

The length of the arc is approximately 2.09

Learn more on length of an arc here:https://brainly.com/question/2005046

Answer:

39

Step-by-step explanation:

13 x 3?

Answer:

volume = 160 cm³

Step-by-step explanation:

volume = 4 x 4 x 10 = 160 cm³