Questions:
PQ is a straight line.
Diagram NOT
accurately drawn
(126% )
(a)
Work out the size of the angle marked xº.
(b) (i) Work out the size of the angle marked yº.
Give reasons for your answer.

Answer:

c is the correct option of the question

Answer:

c) [tex]3^{9}[/tex]

Step-by-step explanation:

[tex]3^{5}[/tex] = 3 x 3 x 3 x 3 x 3

[tex]3^{4}[/tex] = 3 x 3 x 3 x 3

all together would be 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

which would be [tex]3^{9}[/tex]

Step-by-step explanation:

hope this helps. if you have any questions don't hesitate to ask :))

Answer:

m = 5

Step-by-step explanation:

Given

2(m + 1) = 3(m - 1) ← distribute parenthesis on both sides

2m + 2 = 3m - 3 ( subtract 2m from both sides )

2 = m - 3 ( add 3 to both sides )

5 = m

Given:

[tex]\Delta FUN\cong \Delta TEA[/tex]

To find:

Identify the congruent corresponding parts of [tex]\angle N\cong \angle \_\_[/tex].

Solution:

We have,

[tex]\Delta FUN\cong \Delta TEA[/tex]

We know that corresponding parts of congruent triangles are congruent.

[tex]\angle F\cong \angle T[/tex]

[tex]\angle U\cong \angle E[/tex]

[tex]\angle N\cong \angle A[/tex]

Therefore, the required corresponding part is  [tex]\angle N\cong \angle A[/tex].

Answer:

2y-x=0

Step-by-step explanation:

Please mark as brainliest

Answer:

True

Step-by-step explanation:

Answer:

The answer is 0.3 repeating or in a fraction 1/3

Step-by-step explanation:

All you have to do is divide 1/5 th by 6 and then make it a fraction it's not that hard.

Answer:

Angle 1

Step-by-step explanation:

corresponding angles are angles that are congruent and on the same side if that makes sense

Look at image for reference

it is C because x dont reapeat

Answer:

m<D = 26

Step-by-step explanation:

<D = x

x + 122 + 32 = 180

x + 154 = 180

x = 180 - 154

x = 26

Answer:

Step-by-step explanation:

<D + 122° + 32° = 180° ( being sum of angles of triangle )

< D = 180° - 154°

< D = 26°

Answer:

The correct answers are:

A. The Vertical axis should be labelled as the Number of Jars for Each Flavour

B. an interval of 7 could be appropriate

Step-by-step explanation:

A. The number of jars for each flavour is the dependent variable against the flavour type, which is the independent variable, hence it is displayed on the vertical axis to show the height of the bars.

B. since the number of sticks in a jar vary from 0 to 49, dividing 49 by 7 will give 7 without a remainder, hence, an interval of 7 will be ideal for the plot, nd a total of 7 bars will be plotted. Intervals are: 0-7, 8-14, 15-21, 22-28, 29-35, 36-42, 43-49.

Answer:

Step-by-step explanation:

[tex]2.4 \times10^{-3}=\frac{24}{10} \times \frac{1}{10^3} =\frac{24}{10^4} =\frac{24}{10000} =0.0024[/tex]

Answer:

x=0

Step-by-step explanation:

ima break it apart so it is easier to understand, going from left to right.

15(x-3)/5 you will distribute the 15 to the x and the -3

15x-45/5 you will divide 5 to both the 15x and the 45

3x-9 it will now be combined with the right side

now on the right side:

3(2x-3) you will distribute the 3 to the 2x and -3

6x-9 will now be combined with the left side

combining the left and right.

3x-9=6x-9 combine both 'x' es and constants

3x-6x=9-9 solve

-3x=0 divide

-3x=0 /-3 (all of it will be divided by 3 cuz what you do to one side, you gotta do to the other)

x=0

without distributive property

15(x-3)/5=3(2x-3) remove the parenthesis from the left side

3(x-3)=3(2x-3) distribute the 3 through the parenthesis on both sides

3x-9=6x-9 the rest is the same as in the combined section up above.

i hope this helps

The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of A is given by

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

By using the distributive property , we get

On opening the bracket , we get

( 15x - 45 ) / 5 = 6x - 9

Divide by 5 on LHS , we get

3x - 9 = 6x - 9

Subtracting 6x on both sides of the equation , we get

-3x - 9 = - 9

Adding 9 on both sides , we get

-3x = 0

x = 0

Now , without using distributive property , we get

The equation is

15 ( x - 3 ) / 5 = 3 ( 2x - 3 )

Divide by 5 on both sides , we get

3 ( x - 3 ) = 3 ( 2x - 3 )

Divide by 3 on both sides , we get

x - 3 = 2x - 3

Adding 3 on both sides of the equation , we get

x = 2x

Subtracting x on both sides , we get

x = 0

Hence , The value of the equation 15 ( x - 3 ) / 5 = 3 ( 2x - 3 ) is x = 0

To learn more about equations click :

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Answer:

I agree with Jamie

Step-by-step explanation:

Given the inequality expression -2°C > -5°C, to compare both temperatures, we are to determine whether we agree or disagree with him.

Note that negative values that are closer to zero on the number line are greater than those that are far from zero. Hence, since -2 is closer to zero on the number line than -5, this means that -2 is greater than -5 hence I agree with Jamie's temperature value comparison.

Answer:

B = 155°, C = 25°, D = 155°

Step-by-step explanation:

Assuming you require B, C, D

A and B are adjacent angles and are supplementary , that is

A + B = 180°

25° + B = 180° ( subtract 25° from both sides )

B = 155°

A and C are vertically opposite angles and are congruent, then

C = 25°

B and D are vertically opposite angles and are congruent , then

D = 155°

Answer:

950kg

Fruits = 3052.06

vegetables = 2712.94

$0.12

$0.44

Step-by-step explanation:

The first step is to determine the total tonnes of fruits and vegetables sold

7/12 x b = 2.28

b = 2.28 tonnes

Next we determine the tonnes of fruits sold

5/12 x 2.28 = 0.95 tonnes

Next we convert tonnes to kg

1 tonne = 1000kg

0.95 x 1000 = 950 kg

Money he received from selling fruits = 9/17 x $5765 = $3052.06

Money he received from selling vegetables = $5765 - $3052.06 = $2712.94

If price was reduced by 40%, price would be (100-40%) 60% of the original price

0.6 x 0.35 = $0.21

If price was increased by 25%, price would be (100 + 25) 125% of the original price

1.25 x 0.35 = $0.44

In this exercise we have to use the knowledge of finance and percentage to calculate the values ​​of vegetables and fruits:

A)[tex]950\ kg[/tex]

B)Fruits: [tex]\$ 3052.06[/tex] and Vegetables: [tex]\$ 2712.94[/tex]

C)[tex]\$0.12[/tex]

D)[tex]\$0.44[/tex]

The first step is to determine the total tonnes of fruits and vegetables sold:

[tex](7/12)*( b )= 2.28\\b = 2.28\ tonnes[/tex]

Next we determine the tonnes of fruits sold:

[tex](5/12)*( 2.28) = 0.95 \ tonnes[/tex]

Next we convert tonnes to kg:

[tex]1 \ tonne = 1000 \ kg\\(0.95)*( 1000) = 950\ kg[/tex]

If price was reduced by 40%, price would be 60% of the original price, so:

[tex](0.6)*(0.35) = \$0.21[/tex]

If price was increased by 25%, price would be 125% of the original price, will be:  

[tex](1.25)*(0.35) = \$0.44[/tex]

See more about finances at brainly.com/question/10024737

Answer:  The y-intercept would be -2

Step-by-step explanation:  To find a y-intercept you just need to find the point at which the line crosses the y axis (which is the vertical one.)  We know its -2 also because of the unit amount of the graph itself.  The 5 at the top of the y axis is at the 5th box which means that each vertical unit represents 1.  This is how I know my answer is correct.  I hope this answer has been of use to you and if you have further questions please do not hesitate to reach out :)

Answer:

x=54

Step-by-step explanation:

55+54= 109

180-109=71

x+17=71

=54

Answer:

2x 2 x 2 x 2= 8 + 1 = 9?

Step-by-step explanation:

The solution of the equation 2x + 1 = 9 will be 4.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The equation is given below.

2x + 1 = 9

Simplify the equation, then we have

2x + 1 = 1

2x = 9 - 1

2x = 8

x = 8 / 2

x = 4

The solution of the equation 2x + 1 = 9 will be 4.

More about the solution of the equation link is given below.

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Answer:

BCF = 140°

See attached image.

Answer:

m<BCF=140°

Step-by-step explanation:

first find m<BCD

m<BCD=180-50-90

m<BCD=40°.

to find m<BCF, we can do 180-m<BCD, since m<BCD and m<BCF add up to 180° (they form a straight angle)

180-m<BCD=m<BCF

180-40=m<BCF

m<BCF=140°

Answer:

6.5 cm

Step-by-step explanation:

0.5/0.25 = 2

13/2 = 6.5

Answer:

the mean is 18.2, median is 16, and there is no mode

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

mean is the average of the number.you have to add up all the number then divide it by how many numbers there are.

your question is :30,16,29,14,21 (5 number)

(30+16+29+14+21) / 5 = 22

Answer:

30 and 5 left over

Step-by-step explanation:

185/6=30.83333333

30x6=180

185-180=5 left

Answer:

112°

Step-by-step explanation:

50 + 62 = 112

Answer:

10

Step-by-step explanation:

I'm stuck on that question too but I would say 10

Answer:

The answer is 10 :))

Step-by-step explanation:

Answer:

2/9 - 1/6 = 1/18

Step-by-step explanation:

2/9= 4/18 and 1/6=3/18

so...

4/18-3/18=1/18

Hope This Helps!

Answer:

1/18

Step-by-step explanation:

find the LCD

= 18

say

18

= 18 ÷ 9

= 2

= 18 ÷6

= 3

now say

2 × 2 = 4

3 × 1 = 3

4-3/18

= 1/18

Answer:

4

Step-by-step explanation:

hope the diagram helps haha

Simplifying

4(x + 2) = 28

Reorder the terms:

4(2 + x) = 28

(2 * 4 + x * 4) = 28

(8 + 4x) = 28

Solving

8 + 4x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 4x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 4x = 28 + -8

4x = 28 + -8

Combine like terms: 28 + -8 = 20

4x = 20

Divide each side by '4'.

x = 5

Simplifying

x = 5

Simplifying

2(x + 4) = 28

Reorder the terms:

2(4 + x) = 28

(4 * 2 + x * 2) = 28

(8 + 2x) = 28

Solving

8 + 2x = 28

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 2x = 28 + -8

Combine like terms: 8 + -8 = 0

0 + 2x = 28 + -8

2x = 28 + -8

Combine like terms: 28 + -8 = 20

2x = 20

Divide each side by '2'.

x = 10

Simplifying

x = 10

Answer:

42

Step-by-step explanation:

46-4=42

Answer:

son is 14

Step-by-step explanation:

s = son's age

46 = 4 + 3s

42 = 3s

s = 14