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3 years ago

The product of 9 and a number is 12 less than three times that number. What is the number?

1 answer:

5 0

So let me give you the answer with procedure so that you can understand it better:
Let x = Number

Product of 9 and Number:
9x 
is 12 less than 3 times that number. So: 
3x - 12 
Set them equal and solve for x like this:
9x = 3x - 12 
6x = -12 
x = -2
I hope this is very useful for you

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Find the angle measures given the figure is a rhombus

IrinaK [193]

Answer:

74°

Step-by-step explanation:

A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.

According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.

The remaining angle of the rhombus will be calculated as thus;

= 360° - (32°+32°)

= 360° - 64°

= 296°

This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°

This means that each obtuse angles of the rhombus will be 148°.

To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.

m° = 148°/2

m° = 74°

Hence the angle measure if m(1) is 74°

4 0

3 years ago

Concept Check: Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measu

soldi70 [24.7K]

Step-by-step explanation:

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

......

8 0

3 years ago

The power of ten representation of four thousandths

m_a_m_a [10]

Answer:

if its thousandths, its 4 x 10^-1. If you mean 4000, its 4 x 10^3

Step-by-step explanation:

5 0

3 years ago

A wood board 156 centimeters long is cut into three parts .The two longer parts are the same length and are 15 centimeters longe

n200080 [17]

The everyone of two longer parts has 57 cm length and the shortest part has 42 cm length.
less 30cm from 156 and divide the remain amount of 126 into three parts. The answer will be 42 cm, then add 15,15 in longer parts.

6 0

4 years ago

18 Andy flies from the UK to Japan.

kotykmax [81]

Answer:

Leila pays more than Andy to fly from the UK to Australia.

Step-by-step explanation:

Given:

Andy flies from the UK to Japan.

His plane ticket costs £554.

Andy then flies from Japan to Australia.

His plane ticket costs 70 140 Japanese Yen.

The exchange rate is £1 = 140 Japanese Yen.

Leila flies from the UK to Australia.

Her plane ticket costs 1860 Australian dollars.

The exchange rate is 1 Australian dollar = £0.62.

Now, to find Andy or Leila who pays more to fly from the UK to Australia.

Andy flies from the UK to Japan.

His plane ticket costs = £554.

Andy then flies from Japan to Australia.

His plane ticket costs 70 140 Japanese Yen.

The exchange rate is £1 = 140 Japanese Yen.

So, by using conversion factor we convert Japanese Yen to £.

140 = £1

70140 = $70140\div 140=\£501.$

His plane ticket costs = £501.

Now, adding both the cost of tickets:

$501+554=\£1055.$

Andy total pays fly from the UK to Australia is £1055.

Now, to get the cost of plane ticket of Leila from the UK to Australia.

Her plane ticket costs 1860 Australian dollars.

The exchange rate is 1 Australian dollar = £0.62.

So, by using conversion factor:

1 Australian dollar = £0.62

1860 Australian dollar = $1860\times 0.62=\£1153.2$

Her plane ticket costs is £1153.2.

As, we see that cost of plane ticket of Andy is £1055 and cost of plane ticket of Leila is £1153.2.

Thus, Leila pays more.

Therefore, Leila pays more than Andy to fly from the UK to Australia.

4 0

3 years ago