ABC is a straight line.
А
B
С
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.

Answer:

x=35

Step-by-step explanation:

Answer:24

Step-by-step explanation:Let the number we seek be X.

We are Given:

1). (5X+3 ) x (2) = 30

Expand and Rearrange.

(10X +6 ) = 30.

10X = 24.

2). X equals 2.4 . This is the answer for the number we seek.

Always check the answer.

This is Good Working Practice ALWAYS.

For Exams or similar remember:

Presentation (Neat & Tidy), Method & Layout (Show you understand), Accuracy.

All these count in most exams.

The first two points help greatly if your Answer is in error, but your METHOD Is CLEAR & CORECT.

Similarly, if the Check is wrong, mention this, but also, if the case, mention e.g. time ran out .. You may be credited as AWARE if your presentation and Method show you understood what to do and why.

CHECK: Substitute the answer for X into the original equation 1).

Equn. 1). (5X +3)*2 = 30.

Put in the value for X. Expand & Re-arrange.

(( 5 ).( 2.4 ) + ( 3 ).( 2 ) = 30.

( 12 + 6 ) = 30.

24 = 24. Checked & Agreed.

That’s about it.

Answer: x=7 and AC = 44 unuts.

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. (i)

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

[tex]BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7[/tex]

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 unuts.

Answer:

38°

Step-by-step explanation:

4x-9=3x+29 ------- because corresponding angles are equal

x=38°

Answer:

n

Step-by-step explanation:n

Answer:

If you need slope intercept, y = 12x + 10

i hope this helps

Answer:

please give me brainiest

Step-by-step explanation:

8cm are the one that is shaded and go get your self someone more than my Sista

Answer:

x = 135

Step-by-step explanation:

Cross multiply (Multiplicacao cruzada)

[tex]\frac{30}{x}=\frac{2}{9}[/tex]

2x = 270

(Now just divide both sides by X) So dividir os 2 lados por 2x

x = 135

Ace

Answer:

Type A Type B

Median 52 grams 52 grams

Lower Quartile 49 grams 51 grams

Upper Quartile 57 grams 54 grams

Range 14 grams 8 grams

Interquartile Range 8 grams 3 grams

From this table we can see that both types of tomato have the same average mass because their medians are the same.

Comparing the medians and interquartile ranges shows that there is far more variation in the masses of the type A tomatoes, which means that the masses of type B are more consistent than those of type A.

However, comparing the two box and whisker plots, and the upper quartiles, shows that type A tomatoes will generally have a larger mass than those of type B.

Nevertheless, there will be some type A tomatoes that are lighter than any of type B.

Taking all this together, the gardener would be best advised to plant type A tomatoes in future as he is likely to get a better yield from them than from type B.

Step-by-step explanation:

Hi

Answer:

-2 < a

Step-by-step explanation:

Answer:

depends but nike

Answer:

1) d and e

2)a, d and f

Step-by-step explanation:

Answer:

Step-by-step explanation:

for number one: D and E is not equivalent

for number 20: A D and F

Answers:

Input the numbers only.

=========================================================

Explanation:

In any rectangle the diagonals are the same length. Also, the diagonals cut each other in half (aka bisect).

This means EI and FI are the same length

EI = FI

4x+5 = 6x+1

4x-6x = 1-5

-2x = -4

x = -4/(-2)

x = 2

This then leads to

Both are 13 units long to help confirm we have the correct x value.

If EI = 13, then EG = 2*EI = 2*13 = 26 since EG is twice as long as EI. This goes back to the fact that the diagonals cut each other in half.

-------------

If angle EIH is 100 degrees, then so is angle FIG (they are vertical angles).

Focus on triangle FIG. We just found that angle i = 100. This triangle is isosceles with FI = IG being the two equal sides. The angles opposite these congruent sides are angles F and G. Let's call them x for now.

So we have

The three angles of this triangle add to 180

F+I+G = 180

x+100+x = 180

2x+100 = 180

2x = 180-100

2x = 80

x = 80/2

x = 40

So angle F, of triangle FIG, is 40 degrees

This is the same as saying angle IFG is 40 degrees.

Answer:

EG = 26 units

angle IFG = 40 degrees

Step-by-step explanation:

The square has a side length of 9.

The area of the full square would be 9^2 = 9 x 9 = 81 square cm.

The area of the triangle is 1/2 x 4 x 3 = 6 square cm.

The area of the shape = 81 -6 = 75 square cm.

Answer:

30

Step-by-step explanation:

Set up the proportion y=kx k equals y over x

y=2x

y=30 if x is 15

Answer:

C. 24 1/4

Step-by-step explanation:

You turn both the lowest and the highest values into improper fractions and subtract the numerators then turn it back into a mixed fraction.

Answer:

XXX

Step-by-step explanation:

10+10+10 if that helps

Answer:

your question is blard

i can see it sory

Answer:

Simplification :-

=》

[tex] \frac{3 {}^{20} }{3 {}^{19} } \times 3 {}^{3} [/tex]

=》

[tex]3 \times 3 {}^{3} [/tex]

=》

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

you can write

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

as 81

Answer:

210 in

Step-by-step explanation:

Answer:

The answer is 9996

Step-by-step explanation:

Using the identity (x+a)(x+b) = x  ^2  +(a+b)x+ab

Writing 102 as 100+2 and 98 as 100−2

Hence (100+2)(100−2) = 100  ^2  +[2+(−2)]100+(2)(−2)

= 10000+(0)100−4

= 9996

The answer is 9996

Answer:

9996

Step-by-step explanation:

by using suitable identities ;

identity used here is :

[tex](a + b) \times (a - b) = (a {}^{2} - b {}^{2} )[/tex]

..........................

Answer:

Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.

Step-by-step explanation: Furthermore, how many 1/4 unit cubes does it take to fill the prism? Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes. you welcome

Answer:

0.03

Step-by-step explanation:

21/700 = 0.03

Answer: 0.03

Step-by-step explanation:

Answer:

6 different wallpapers

Step-by-step explanation:

Given

[tex]Colours = 27[/tex]

[tex]Textures = 14[/tex]

[tex]Total = 2268[/tex]

Required

Determine the number of different wallpapers he can choose from

From the question, he can choose 1 from 27 colors;

The number of ways is:

[tex]Colours = ^{27}C_1 = \frac{27!}{(27 - 1)!*1!} = \frac{27!}{26!*1!} = = \frac{27*26!}{26!*1} = 27[/tex]

From the question, he can choose 1 from 14 textures;

The number of ways is:

[tex]Textures = ^{14}C_1 = \frac{14!}{(14 - 1)!*1!} = \frac{14!}{13!*1!} = \frac{14*13!}{13!*1} = 14[/tex]

Assume the total number of wallpapers is x and he can only select 1.

The number of ways of selection is:

[tex]Wallpapers = ^{x}C_1 = \frac{x!}{(x - 1)!*1!} = \frac{x* (x - 1)!}{(x - 1)!*1!} = x[/tex]

So, the total selection is:

[tex]Colours * Textures * Wallpapers = Total[/tex]

[tex]27 * 14* x= 2268[/tex]

[tex]378* x= 2268[/tex]

Divide both sides by 378

[tex]\frac{378* x}{378}= \frac{2268}{378}[/tex]

[tex]x= \frac{2268}{378}[/tex]

[tex]x= 6[/tex]

Hence, the number of different wallpaper is 6

Answer:

s=2.5

Step-by-step explanation:

Answer:

I am so sorry i honestly dont know either i am also having trouble. Can someone help?

Step-by-step explanation:

Answer:

3/20

Step-by-step explanation:

15 / 100

divide both the numerator and denominator by 5: 3 / 20

Answer:

3/20 is it's simplest form.

Step-by-step explanation:

How can we solve this?

15% is equal to 15/100.

Therefore, 15/100 can be simplified to 3/20.