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1 year ago

Find X and QT. The shape is a Rhombus

Mathematics

1 answer:

kompoz [17]1 year ago

8 0

Answer:

See below ~

Step-by-step explanation:

Sides of a rhombus are equal.

⇒ QT = TS

⇒ x² - 4x - 10 = 6x + 14

⇒ x² - 10x - 24 = 0

⇒ x² + 2x - 12x - 24 = 0

⇒ x (x + 2) - 12 (x + 2) = 0

⇒ (x + 2)(x - 12) = 0

⇒ x = -2 or x = 12

Substitute both values and see which gives a positive value for QT :

When x = -2 :

QT = (-2)² - 4(-2) - 10
QT = 4 + 8 - 10
QT = 2

When x = 12 :

QT = (12)² - 4(12) - 10
QT = 144 - 48 - 10
QT = 86

The 2 possible answers are :

x = -2, QT = 2
x = 12, QT = 86

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Elizabeth is selling jam at a farmers market, and she earns $5.00 for each jar of jam that she sells. Her goal for the weekend i

Musya8 [376]

Answer:

66 jars of jam

Step-by-step explanation:

Elizabeth is selling jam at a farmers market.

She earns $5 for each jar of Jan that she sells

Her goal is to earn $450 during the weekend.

Elizabeth has already made $95 from the sale of her jams and $24 from leading a demonstration

Therefore the total amount that has been made is

= $95 + $24

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Since her target is $450 and she has already made $119 then the amount remaining to complete the target can be calculated as follows

= $450 - $119

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The minimum number of jars that Elizabeth must sell to realize her goal can be calculated as follows

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= 66

Hence Elizabeth must sell 66 jars of jam to reach her goal.

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2 years ago

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liraira [26]

Answer:

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

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hyp = 6 / cos 60

hyp = 6 / (1/2)

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3 0

2 years ago

the sum of three number is 202, the second is three more than the first number, the third number is three times the second numbe

sertanlavr [38]

Answer:

x = 38

y = 41

z = 123

Step-by-step explanation:

x + y + z = =202

y = x + 3

z = 3y = 3(x + 3) = 3x + 9

x + y + z = x + x + 3 + 3x + 9 = 5x + 12 = 202

5x + 12 = 202

5x = 190

x = 38

y = x + 3 = 41

z = 3y = 123

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2 years ago

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elixir [45]

Answer:

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Step-by-step explanation:

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Answer:

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