12 Rose and Haydn share £250 in the ratio 2:3
Rose gives all her share of the money to charity.
Haydn gives 42% of his share of the money to charity.
Rose gives more money to charity than Haydn gives to charity.
Work out how much more.

9514 1404 393

Answer:

Step-by-step explanation:

A and the angle marked 48° are vertical angles, hence congruent.

  A = 48°

B is part of a linear pair with the angle marked 65°, so it is supplementary to that angle.

  B = 115°

C is an alternate interior angle with angle B, so is congruent.

  C = 115°

D is a vertical angle with the one marked 67°, so is congruent.

  D = 67°

E is an alternate exterior angle with the one marked 48°, so is congruent. It is also a corresponding angle with A, so congruent to that as well.

  E = 48°

Answer:

(a) See attachment

[tex](b)\ y =2.5x[/tex]

Step-by-step explanation:

Given

[tex]x \to pineapple[/tex]

[tex]y \to fruit[/tex]

[tex]x : y =2 : 5[/tex]

Solving (a): The graph

First, we create an equation from [tex]x : y =2 : 5[/tex]

Express as fraction

[tex]\frac{x }{ y} =\frac{2 }{ 5}[/tex]

Cross multiply

[tex]2y = 5x[/tex]

See attachment for graph

Solving (b): An expression that represents the relationship

In (a), we have:

[tex]2y = 5x[/tex]

Divide by 2

[tex]y = \frac{5}{2}x[/tex]

[tex]y =2.5x[/tex]

Answer:

B   a = 180 -77-60

Step-by-step explanation:

The angles add to 180 degrees since they form a straight line

77+ 60+a = 180

a = 180 -77-60

The answer is B.

Step-by-step explanation:

We know that the sum of angles in a straight line = 180°

Therefore:

77° + 60° + a = 180°

a = 180° - 77° - 60°

Hence, option B is the answer.

Answer:

Step 1: Set up a product of two ( ) where each will hold two terms. Step 2: Find the factors that go in the first positions. Step 3: Find the factors that go in the last positions. We need two numbers whose product is 9 and sum is 2.p explanation:

Answer:

A❤️✌️❤️✌️❤️Aaaaaa

Step-by-step explanation:

Let x and y be two integers

x * y = 132

x + y = -23

x= -23 - y

y(-23 - y) = 132

-23y - y^2 = 132

y^2 +23y + 132 = 0

(y + 11) (y + 12) = 0

y = -11 or - 12

If y = -11 then x + (-11) = -23 -> x = -12

If y = -12 then x + (-12) = -23 -> x = -11

So the two integers are -11 and -12

Answer:

2 grams

Step-by-step explanation:

a = 145 * (1/2)⁶

a = 2.265625

Rounded

2 grams

Answer:

Area = 972 square feet

Step-by-step explanation:

Let  90 square meter be = x square feet

Given :

                      square meter             square feet

                              1                             10.8

                             90                            x

[tex]\frac{1}{90} = \frac{10.8}{x}\\\\1 \times x =10.8 \times 90 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ cross \ multiply \ ]\\\\x = 972[/tex]

Therefore , 90 square meter = 972 square feet

Answer:

The table will be:

x |-2 | -1 | 0 | 1 | 2  

y | 1  | 4 | 5 | 4 | 2

Step-by-step explanation:

The function is:

[tex]y=5-x^{2}[/tex]

a) The x values of the table is:

x |-2 | -1 | 0 | 1 | 2

So, when x = -2, y will be:

[tex]y(-2)=5-(-2)^{2}=5-4=1[/tex]

Doing the same with the other x values we have:

[tex]y(-1)=5-(-1)^{2}=5-1=4[/tex]

[tex]y(0)=5-(0)^{2}=5[/tex]

[tex]y(1)=5-(1)^{2}=5-1=4[/tex]

[tex]y(2)=5-(2)^{2}=5-4=1[/tex]

The table will be:

x |-2 | -1 | 0 | 1 | 2  

y | 1  | 4 | 5 | 4 | 1

I hope it helps you!

Answer:ln is called the natural log, or log to the base e. ln can also be written as

So, we can write the given expression as

The property of logs is:

This mean if the number a is raised to log whose base is the same as the number a itself, then the answer will be equal to the argument of the log which is x.

In the given case, the number e and the base of log are the same. So the answer of the expression will be the argument of log which is 6.

so, we can write

Thus, the correct answer is option D

Step-by-step explanation:

Answer:

(0,-41)

Step-by-step explanation:

Let see if this table of values are proportional.

This mean that the function is proportional. This also gives us the slope which is 19/9.

This tell us that this function will be a linear function since we are trying to find the y intercept we would use this equation

We know the slope and we know a point so let use point slope form to find the intercept.

[tex]y - y _1= m(x - x _1)[/tex]

Let use points (-18,-79) and let m =19/9.

[tex]y + 79 = \frac{19}{9} (x + 18)[/tex]

[tex]y + 79 = \frac{19}{9} x + 38[/tex]

[tex]y = \frac{19}{9} x - 41[/tex]

This is in slope intercept form so the y intercept is

[tex] - 41[/tex]

The answer is -41.

Answer:

The converse of the statement is: If two angles are supplementary, then they form a linear pair.

Step-by-step explanation:

The statement is a representation of the following compound proposition: [tex]p \rightarrow q[/tex], where:

[tex]p =[/tex] Two angles form a linear pair

[tex]q =[/tex] They are supplementary

The converse of this implication is represented by the following inferential formula:

[tex]q \rightarrow p[/tex]

Therefore, the converse of the statement is:

If two angles are supplementary, then they form a linear pair.

Answer:

113.04^2

Step-by-step explanation:

radius = diameter / 2

=12/2

=6 ft

area of circle = πr^2

=3.14 * 6^2

=3.14 *36

=113.04 ft^2

Answer:

[tex]{ \boxed{ \tt{ formular : { \tt{area}} = \pi {r}^{2}}}} \\ { \green{radius = \frac{diameter}{2} = \frac{12}{2}}} \\ area = \frac{22}{7} \times { (\frac{12}{2} )}^{2} \\ { \boxed{area = 113.04 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

Answer:

its true trust biggie on this one fam

Step-by-step explanation:

its true broski

Let a,b,c,d and e are five numbers

mean = (a +b+ c+ d+e)/5 = 30

⇒ (a +b+ c+ d+e) = 150_______(1)

now, Let the number excluded be a

then, new mean =  (b+ c+ d+e)/4 = 28

⇒ (b+ c+ d+e)= 112

putting this value in (1),

⇒a + 112 = 150

⇒a = 150 -112 = 38

excluded number = 38

Answer:

16

Step-by-step explanation:

[tex]5 + 9 \div 3 + 4 \times 2 \\ = 5 + 3 + 8 \\ = 16[/tex]

Multiplication and division are priority to addition and subtraction

Brainliest please

Answer: Answer C , Only student 2, because dilation preserve angle measures and side lengths are proportional

The true statement is only student 2, because dilations preserve angle measures and side lengths are proportional.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

In Reflection the figure is flipped. In other words, a figure when undergoes reflection becomes it's mirror image.

Dilation preserves the angle measures, so the triangles will be similar.

Reflection, on the other hand, will result in congruent triangles.

Student 1 said that  Reflect △ABC across the y-axis and then dilate it by a scale factor of 1 with the center of dilation at the origin.

If the scale factor is 1, then the dilated image will be the same as the original image.

So the resulting triangle will be congruent to the original triangle.

In the case of what student 2 said, scale factor is 2. Triangle is enlarged.

So the resulting image will be similar to the original one.

Hence student 2 is correct.

Learn more about Transformations here :

https://brainly.com/question/1410694

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Answer:

67.38 degrees

Step-by-step explanation:

Here, we want to find the value of the angle at X

We are going to use the appropriate trigonometric ratio here

From the question, the vertex X faces the side 12 and that makes the side the opposite

The side 13 faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects both is the sine

so we have that;

sine X = 12/13

X = arc sin (12/13)

X = 67.38

Answer:

6.55 cm

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.

Cosine rule is used to show the relationship between sides and angles of a triangle. If a, b, and c are sides of a triangle, while A, B, and C are angles opposite to the corresponding sides. Then:

c² = a² + b² - 2ab*cos(C)

Given that PR = 13 cm, PQ = 12 cm and angle QPR = 30°, hence:

QR² = PR² + PQ² - 2(PR)(PQ)cos(∠QPR)

QR² = 13² + 12² - 2(13)(12)cos(30) = 169 + 144 - 270

QR² = 43

QR = 6.55 cm

Answer:

[tex]\frac{7}{4.1}[/tex]

Step-by-step explanation:

the word ''to'' means over

The region D represents the solution of the given system of inequalities.

A system of linear inequalities is a collection of linear inequalities in the same variables.

According to the given equation.

We have system of inequalities.

[tex]y < \frac{-1}{2}x[/tex]

and [tex]y \geq 2x + 3[/tex]

Also, the graph of the inequalities.

Since, y is less than [tex]-\frac{1}{2} x[/tex] shade  below the line.

And, for the second inequality.

y is greater than and equal to 2x + 3 therefore, shade the above the line.

So, the common region D we get after the shading.

Hence, region D represents the solution of the given system of inequalities.

Find out more information about system of inequalities:

https://brainly.com/question/19526736

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Answer:

The point you are rotating at (also called the centre of rotation)

The angle of rotation (usually in degrees but I don't know your school)

Direction of the turn

Step-by-step explanation:

Answer:

91 days

Step-by-step explanation:

Given that,

A planet is at a distance of 98,000,000 km from the centre of the star.

It orbits at an average speed of 45,000 km/h.

The speed of an object is given by the distance covered divided by the time taken. So,

[tex]v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{98,000,000}{45,000}\\\\t= $$2177.77\ h[/tex]

or

t = 90.74 days ≅ 91 days

So, the planet take 91 days to orbit the star.

Answer:

Doing the test rn got 3 1/3 i dont know if u should trust me but just try

Step-by-step explanation:

Answer:

I assume that this is a quadratic equation, something like:

y = -47*x^2 - 24x + (-36)

we can rewrite it as:

y = -47x^2 - 24x - 36

Ok, this is a quadratic equation and we want to find the maximum value.

First, you can notice that the leading coefficient is negative.

This means that the arms of the graph will open downwards.

Then we can conclude that the vertex of the equation is the "higher" point, thus the maximum value will be at the vertex.

Remember that for a general function

y = a*x^2 + b*x + c

the vertex is at:

x = -b/2a

So, in our case:

y = -47x^2 - 24x - 36

The vertex will be at:

x = -(-24)/(2*-47) = -12/47

So we just need to evaluate the function in this to find the maximum value.

Remember that "evaluating" the function in x = -12/47 means that we need to change al the "x" by the number (-12/47)

y = -47*(-12/47)^2 - 24*(-12/47) - 36

y = -32.94

That is the maximum value of the function, -32.94

Answer:

Hello,

I am pretty sure that is is the last answer. 3√3.

Step-by-step explanation:

I hope this helps!

Answer:

The last answer

Step-by-step explanation:

This is asking you to do 9 divided by 3. After you divide 3 by 9 divided by 3 to get the answer

9 divided by 3 equals 3

3 divided by 3 equals 1

Answer:

385

Step-by-step explanation:

(3/5 x 10/8) - (7/9 x 3/8) + (4/5 x 7/2)

=3/4-7/24+14/5

=90/120 - 35/120 + 840/120

=46200/120

=385

Hope this helps!