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2 years ago

A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus.

Mathematics

2 answers:

Alisiya [41]2 years ago

7 0

Answer:

The value of x is 55 ⇒ 2nd answer

Step-by-step explanation:

* Lets revise the properties of the rhombus

- It has 4 equal sides

- Every two opposite sides are parallel

- Every two opposite angles are equal

- Every two adjacent angles are supplementary (their sum is 180°)

* Now lets solve the problem

- A square divided into two rectangles

- Each rectangle contains a shaded rhombus

- The shaded rhombus has two adjacent angles their measures are

(2x + 20)° and 50°

∵ Every two adjacent angles in the rhombus are supplementary

∵ The sum of the supplementary angles = 180°

∴ The sum of the measures of the angles (2x + 20)° and 50° is 180°

- lets put the equation and solve it to find x

∴ (2x + 20)° + 50° = 180° ⇒ add the like terms

∴ 2x + 70° = 180° ⇒ subtract 70° from both sides

∴ 2x = 110° ⇒ divide both sides by 2

∴ x = 55°

* The value of x is 55

Julli [10]2 years ago

4 0

Answer:

Step-by-step explanation:

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2 years ago

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Answer:

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2 years ago

Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak

Ivenika [448]

Given:

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To find:

When would automatic payments make the value of the account zero?

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2 years ago

Isabella filled her pool with water at a constant rate.

Anon25 [30]

Answer:

The size of Isabella's pool is 220 liters.

Step-by-step explanation:

Let the size of Isabella's pool be $x$ liters, $R$ be the rate of fill, $t$ be the time of fill and $V$ be the volume of water filled in the pool.

As the rate of fill is constant,

Therefore, volume of water filled in the pool can be given as,

$V= Rt$

Volume of water left is given as $x-V=x-Rt$

From the table,

Volume of water left after $t=2$ minutes is 184 liters.

So, $x-R(2)=184\\x-2R=184$ -------- 1

Volume of water left after $t=12$ minutes is 4 liters.

So, $x-R(12)=4\\x-12R=4$ ------------2

Multiply equation 1 by 6 and equation 2 by -1, we get

$6x-12R=1104\\-x+12R=-4$

Now, we add the above equations, we get

$(6x-x)+(12R-12R)=1104-4\\5x=1100\\x=\frac{1100}{5}=220$

Therefore, the size of Isabella's pool is 220 liters.

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2 years ago