calculate 16% of £50

Answer:

64

Step-by-step explanation:

When two angles are supplementary, their measures must add up to 180 degrees. Therefore:

x+y=180

x+116=180

x=180-116=64 degrees

Hope this helps!

Answer:

∠x = 64°

Step-by-step explanation:

∠x+∠y=180°

∠x+116°=180°

Subtract 116° from both sides

∠x=64°

Answer:

A

Step-by-step explanation:

Perhaps you know of the {3, 4 ,5} Pythagorean triple.

Pythagoras stated a² + b² = c²

so checking for A:

a² + b² = c²

5² + 12²

25 + 144 = 169 which is 13²

Only answer A. (5, 12, 13) is a Pythagorean triple.

The others are not.

The correct answer for Pythagorean triple are (5,12,13). The correct option is A.

A Pythagorean triple is a set three positive integers (a, b, c) that validates the Pythagorean theorem, According to which in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagorean theorem can be written as:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Check each option:

A. (5, 12, 13)

=[tex]5^{2} +12^{2} \\[/tex]

= [tex]25 + 144[/tex]

= 169

[tex]= 13^{2} \\= 169[/tex]

Since both sides are equal (169 = 169), this is a Pythagorean triple.

B. (1, 1, 2)

[tex]1^{2} +1^{2} \\= 1+1\\= 2[/tex]

[tex]= 2^{2} \\= 4[/tex]

The two sides are not equal (2 ≠ 4), so this is not a Pythagorean triple.

C. (3, 4, 6)

[tex]3^{2} +4^{2} \\= 9 + 16\\= 25[/tex]

[tex]=6^{2}[/tex]

[tex]= 36[/tex]

The two sides are not equal (25 ≠ 36), so this is not a Pythagorean triple.

D. (5, 8, 10)

[tex]= 5^{2} +8^{2}\\= 25 + 64\\= 89[/tex]

[tex]= 10^{2} \\= 100[/tex]

The two sides are not equal (89 ≠ 100), so this is not a Pythagorean triple.

The correct answer is (5,12,13). The correct option is A.

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Answer:

-12x+12y

Step-by-step explanation:

[tex]-\dfrac{3}{5}(20x-20y)=\\\\-\dfrac{3}{5}(20x)+-\dfrac{3}{5}(-20y)=\\\\-12x+12y[/tex]

Hope this helps!

Answer:

[tex]-12x+12y[/tex]

Step-by-step explanation:

We have the following expression:

[tex]-\frac{3}{5} (20x-20y)[/tex]

TO remove the parenthesis, we need to multiply each term within them by each term on the outside of the parenthesis. Then, we can simplify our answer..

[tex](-\frac{3}{5} )(20x)-(-\frac{3}{5} )(20y)\\\\-12x+12y[/tex]

Answer:

Step-by-step explanation:

5•-4= -20

5•-3x= -15x

-6x•-4= 24x

-6x•-3x= 18x^2

Answer:

20 : 15x

:

: : : : :

24x : 18x

:

Step-by-step explanation:

5×-4=20

5×-3x=-15x

-6x×-4=24x

-6x×-3x=18x

// have a great day //

Answer:

slope = 1 and y- intercept = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 6) ← 2 points on the line

m = [tex]\frac{6-4}{2-0}[/tex] = [tex]\frac{2}{2}[/tex] = 1

The y- intercept is the y- coordinate of the point where the line crosses the y- axis.

Here the y- intercept = 4

Answer:

Before starting, parallel lines are lines on the same plane that never intersect with each other. From the figure, the pairs of parallel lines would be WX & ZY and WZ and XY. The only correct statement in the choices is letter B.

Answer:

Option A

Step-by-step explanation:

In trapezoid, one pair of opposite sides are parallel.

Parallel lines have the same slope.

So , we have to find the slope of four sides and from that we can show that it is a trapezoid.

Answer:

-22/3 =x

Step-by-step explanation:

(4x-4) /(x+4) = 10

Multiply each side by (x+4)

(4x-4) /(x+4) * (x+4) = 10 * (x+4)

(4x-4) = 10 * (x+4)

Distribute

4x-4 = 10x+40

Subtract 4x from each side

4x-4-4x = 10-4x+40

-4 = 6x+40

subtract 40 from each side

-4 -40 = 6x+40-40

-44 = 6x

Divide each side by 6

-44/6 = -6x/6

-22/3 =x

Answer:

x = -22/3

Step-by-step explanation:

4x - 4 / x + 4 = 10

=> 4x - 4 = 10(x + 4)

=> 4x - 4 = 10x + 40

=> 4x - 10x = 40 + 4

=> -6x = 44

=> x = -44/6

=> x = -22/3

Answer:

vertex = (- 3, - 1 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

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

y = - [tex]\frac{1}{2}[/tex] (x + 3)² - 1 ← is in vertex form

with vertex = (- 3, - 1 )

Answer: The correct answer is B or Team C scored 307 points.

Step-by-step explanation:

Answer:

Choice B. Team C scored 307 points.

Step-by-step explanation:

Team B scored 227 points.

Choice A:

Team A: 2b - 5 = 2(227) - 5 = 454 - 5 = 449

Choice A is false.

Choice B:

Team C: b + 80 = 227 + 80 = 307

Choice B is true.

Choice C:

2 * 307 = 614

614 is not the same as 449.

Choice C is false.

Choice D:

The sum of the points is given as 983.

Choice D is false.

Answer: Choice B. Team C scored 307 points.

Answer:

1/2

Step-by-step explanation:

Answer:

k= 112

Step-by-step explanation:

12y = 7z

y= 7z/12

_________

3x =8y

3x= 8× 7z/12

3×=56z/12

36x=56z

x=56z/36

_________

zk=72x

zk= 72 ×(56z/36)

k= (72×56)/36

k=112

Answer:

[tex]13 \: \: \: \: : \: \: \: \: 9[/tex]

Step-by-step explanation:

[tex]plates = 13 \\ cups = 9[/tex]

So the ratio of the number of plates to the number of cups.

[tex]plates \: \: \: \: \: : \: cups \\ \: \: \: \: \: \: \: \: 13 \: \: \: \: \: \: \: \: : \: \: 9[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Experimental

Step-by-step explanation:

It is not a theory he actually tossed the penny

Answer: The answer is C

Step-by-step explanation:

Answer:

lll

Step-by-step explanation:

hope it's helpful

Most welcome

Answer:

A

Step-by-step explanation:

The height of the triangle is always perpendicular to the base. Therefore, in this figure, the base of the triangle corresponds to segment A

Answer:

The second choice. m < 4 = 85 degrees.

Step-by-step explanation:

m < 4 = 180 - m < 1

= 180 - 95

= 85 degrees.

The measure of angle 4 is 85 degrees.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

We are given that measure of Angle 1 is 95 degrees.

Therefore, we can see that  angle 4 and Angle 1 makes linear pair so.

Angle 4 = 180 - Angle 1

= 180 - 95

= 85 degrees.

Learn more about angles here:

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Answer:

the answer is 420km.

Step-by-step explanation:

Given speed of car =60km/hr

then,distance travelled in 7hours

=speed×time

=60×7=420

=distance 420 km.

Answer:

r=12.5

Step-by-step explanation:

V=2/3πr³

V=1300π m³

r=?

r=3√(3*1300π/2)

r=12.49

Answer:

a arithmetic; -23

Step-by-step explanation:

this is not geometric sequence as we don't  see multiplication effect in the terms

let's see what is the difference in terms

-207- (-184)= -23

-230- (-207)= -23

-253- (-230)= -23

we can state it is an AP with common difference of  -23

option a. is correct

Answer:

n - 5 = 28

Step-by-step explanation:

The number is n.

5 less than the number is n - 5.

5 less than the number is 28

n - 5 = 28

Answer: 28

Step-by-step explanation:

Since this is an isosceles triangle, two of the angles are congruent.

180 - 124 = 56

56/2 = 28

Answer:

A.  1/12.

Step-by-step explanation:

Orville and Wilbur  ate 1/3 + 1/4

= 4/12 + 3/12

= 7/12 of the pizza.

So there was 1 - 7/12 = 5/12 of the pizza left.

So Ruth ate 5/12 * 1/5

= 5/60

= 1/12.

Answer:

[tex]x^4[/tex]

Step-by-step explanation:

[tex]\frac{x^{3} }{\sqrt[6]{x}}[/tex]

[tex]((\sqrt{x})^{2})(x^{3} )[/tex]

[tex](x)(x^3)\\x^4[/tex]

Answer: A cosine graph is the darker curve on a graph. It shifts to the left of the sine curve.  A sine graph is the lighter curve on the graph.

Answer:

<-8,-2>

Step-by-step explanation:

Answer:

(x - 8, y - 2)

Step-by-step explanation:

x-coordinates:

3 and -5

How do you get from 3 to -5?

You subtract 8

This means:

x - 8

y-coordinates:

2 and 0

How do you get from 2 to 0?

You subtract 2

This means:

y - 2

Put it together:

(x - 8, y - 2)

Therefore, the algebraic rule is subtract 8, subtract 2.