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Answer:

The two parallel sides a and b are 17 cm and 23 cm respectively

Step-by-step explanation:

Area of a trapezium = {(a+b)/2} h

Where

h = height = 18 cm

a = parallel side 1 = x

b = parallel side 2 = x + 6

Area of a trapezium = {(a+b)/2} h

360 = {(x + x + 6) / 2} 18

360 = { (2x + 6) / 2} 18

360 = (2x + 6) 9

360 = 18x + 54

Subtract 54 from both sides

360 - 54 = 18x

306 = 18x

Divide both sides by 18

x = 306 / 18

= 17

x = 17 cm

a = parallel side 1 = x

x = 17 cm

b = parallel side 2 = x + 6

x + 6

= 17 + 6

= 23 cm

Answer:

Tanya is 18 years old.

Step-by-step explanation:

In order to determine this, we assume the following

x =  tens digit of the age of Tanya, and also the hundreds digit of Tanya's great-grandfather age

y = units digit of the age of Tanya, and also the units digit of Tanya's great-grandfather age

Therefore, we have:

10x + y = (1 / 6) * (100x + y)

Multiply both sides by 6, we have:

[10x + y] * 6 = [(1 / 6) * (100x + y)] * 6

60x + 6y = 100x + y

Collect the like terms, we have:

6y - y = 100x - 60x

5y = 40x

Divide through by 5, we have:

y = 8x

That is,

8x = y

Note that x and y has to be single digits. This can only be obtained only when x = 1 and y = 8. And given how x and y is defined above, we have:

The age of Tanya = 18

This can be verified as follows:

18 = 108 / 6

18 * 6 = 108

108 = 108

Therefore, Tanya is 18 years old.

Answer:

2(n+8)

sum is 30

Step-by-step explanation:

Answer:

2(n+8)

Step-by-step explanation: taking quiz right now

Answer:

Option C - 0.03 cm

Step-by-step explanation:

The model has a length of 15 cm.

Now, we are told that the scale is 1:500. This means that 1 unit is represents 500 cm on the model.

Since the length on the model is 15 cm which is 15 units, then the true length would be;

15 × 1/500 = 0.03 cm

Therefore, the true length is 0.03 cm.

Option C is correct

Answer:

0.03 cm

Step-by-step explanation:

[tex]3^{2} + 12 = 9 + 12 = 21[/tex]

The answer is 21.

Answer:

The correct answer is 21.

Step-by-step explanation:

To solve this problem, we simply substitute 3 for a in the expression.

Given the expression,

a^2 + 12

we should replace "a" with 3, as denoted by the problem, giving us:

(3)^2 + 12

Now, we simplify using the order of operations.  PEMDAS tells us that we should simplify what is in the parentheses first because it has an exponent.

9 + 12

Now, we can just add the two remaining terms together, giving us:

21

Therefore, the answer is 21.

Hope this helps!

Answer:

2/9ths hope this helps!

Please mark brainliest.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x + 1 + x + 23 = 180

3x + 24 = 180

3x = 156

x = 52

2(52) + 1 = 104 + 1 = 105

52 + 23 = 75

Answer:84

Step-by-step explanation:

you multiply each side by 12. That gets you 60 white cars and 84 black cars. 60 is 24 less than 85

Answer:

the graphed points are in the picture attached

They intersect at (-8,1)

It passes through the x-axis at (-10,0)

It passes through the y-axis at (0,5)

Step-by-step explanation:

:)

Answer:

its a blue line from one ten to anothor

Answer:

0.00565 miles / second

Step-by-step explanation:

1 mile = 1609.344 meters

100 meters = 100/1609.344 = 0.0621 miles    (aprox)

100 meter/ 11 seconds = 0.0621miles / 11 seconds

= 0.00565 miles / second

Answer:

I think the first one.

Step-by-step explanation:

Answer:

62.22%

Step-by-step explanation:

First, find how many total marbles there are:

12 + 11 + 17 + 5

= 45

Then, find how many marbles that are not blue:

12 + 11 + 5

= 28

Then, divide 28 by 45, and multiply by 100

(28/45) x 100

= 62.22% is the probability of not choosing a blue marble

Answer:

67

Step-by-step explanation:

9x−5

x=8

9(8)−5

72−5

=67

Given :

[tex]a_1=-25[/tex] .

[tex]a_n=a_{n-1}-14[/tex] .

To Find :

The general equation of [tex]a_n[/tex] .

Solution :

We know , when difference between any two consecutive terms in an A.P is equal , then the series is in arithmetic progression .

Now , common difference ,

[tex]d=a_n-a_{n-1}\\\\d=-14[/tex]

Also , first term is -25 .

Now , general term of an A.P is given by :

[tex]a_n=a+(n-1)d\\\\a_n=-25+(n-1)(-14)\\\\a_n=-25-14n+14\\\\a_n= -11-14n[/tex]

Hence , this is the required solution .

Answer:

I would say c im not 100% sure sorry if i got it wrong

Step-by-step explanation:

Answer:

[tex]\frac{3}{7}[/tex] × [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Step 1. Turn the second fraction upside down (it becomes a reciprocal):

[tex]\frac{4}{5}[/tex] becomes [tex]\frac{5}{4}[/tex]

Step 2. Multiply the first fraction by that reciprocal:

[tex]\frac{3}{7}[/tex] × [tex]\frac{5}{4}[/tex] = ?

3 x 5 = 15

7 x 4 = 28

[tex]\frac{3}{7}[/tex] × [tex]\frac{5}{4}[/tex] = [tex]\frac{15}{28}[/tex]

Step 3. Simplify the fraction:

[tex]\frac{15}{28}[/tex] = [tex]\frac{15}{28}[/tex]  You can't simplify this fraction

Answer:

15/28

Step-by-step explanation:

Answer:

Yes, it is AC.

Explanation:

There’s no other way of naming it.

Answer:

BC= 9cm

Step-by-step explanation:

a^2 + b^2 = c^2

The slanted side of the triangle is always going to be 'c' because it is the longest side of the triangle.

I got these numbers because 12^2= 144 and 15^2= 225

Answer: 15

Step-by-step explanation: 5 roses are 25 dollars so what your going to do is multiply 5 by 3 to get 15 do the same with 25, 25 x 3 is 75 so you will get 15 roses for 75 dollars

Answer:

see below

Step-by-step explanation:

On the real number line you can't

to graph them you have to make a Cartesian plane

with x= the real numbers

and y= the imaginary numbers

Answer:

entire orchestra I'm gonna say

Answer:

y = -10x + 82

Step-by-step explanation:

Plug in the slope and point into y = mx + b to solve for b:

y = mx + b

2 = -10(8) + b

2 = -80 + b

82 = b

Then, plug b and the slope into y = mx + b

y = -10x + 82 is the equation in point slope form.

Answer:

b+t < 12 (< has a line under it)

Step-by-step explanation:

Liz can work at most 12 hours per week. So, add the number of hours she spends babysitting, b, and the number of hours she spends tutoring, t, in a week, and represent the sum as less than or equal to 12:

b + t < 12

Also I just got done doing this problem my self

Answer: -6

Step-by-step explanation: mark me as brainliest if i helped

The value of the expression is 4.

We have,

Expression:

12 - 15 ÷ 3 - 3

Now,

Apply PEMDAS.

Divide 15 by 3.

12 - 15/3 - 3

[ 3 x 5 = 15]

So,

12 - 5 - 3

12 - (5 + 3)

12 - 8

4

Thus,

The value of the expression is 4.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer:

See Explanation

Step-by-step explanation:

m = 46° (vertical angles)

j = 92° (vertical angles)

j + k + 46° = 180° (staright line angles)

92° + k + 46° = 180°

138° + k = 180°

k = 180° - 138°

k = 42°

n = 37° + 44° = 81°

Answer:

Step-by-step explanation:

524-6x3+52-(12÷2)

Multiplique los números

Answer:

3

Step-by-step explanation:

add all numbers

Answer:3

Step-by-step explanation: