What measurement is a perfect square
2 answers:
You might be interested in
<h2>
</h2>
Given statements:
- Mack is double Cici's age.
- Three times Mack's age minus two times Cici's age is 52.
First statement:
<u>We know the following:</u>
- The word "double" means 2 times greater than a number or variable.
- The word "is" means "=", which states that two expressions or terms are equivalent.
Therefore, the first statement, when converted into an equation, is;
- ⇒ Mack = 2(Cici)
<em>Let Mack be known as "M" and Cici be known as "C". Then,</em>
- ⇒ M = 2C
Second statement:
<u>We know the following:</u>
- The phrase "three times" means "triple", which means 3 times greater than the original number.
- The phrase "two times" means "double", which means 2 times greater than the original number.
- The word "is" means "equivalent".
Therefore, the second statement, when converted into an equation, is;
- ⇒ 3(Mack) + 2(Cici) = 52
<em>Let Mack be known as "M" and Cici be known as "C". Then,</em>
- ⇒ 3(M) + 2(C) = 52
From the above, we obtained:
- Equation 1: M = 2C
- Equation 2: 3(M) + 2(C) = 52
When the value of "M", in equation 1, is substituted in equation 2, we get;
- ⇒ 3(2C) + 2(C) = 52 [M = 2C]
When simplified, we get;
- ⇒ 3(2C) + 2(C) = 52
- ⇒ 6C + 2C = 52
- ⇒ 8C = 52
- ⇒ 8C/8 = 52/8
- ⇒ C = 52/8 = 26/4 = 13/2 = 6.5
Therefore, the age of Cici is 6.5 years.
But, we are asked to determine the age of Mack. Simply substitute the age of Cici in equation 1 to determine the age of Mack.
- ⇒ M = 2C
- ⇒ M = 2(6.5)
- ⇒ M = 13
Therefore, the age of Mack is 13 years.
Learn more about this topic: brainly.com/question/26032086
Answer:
Step-by-step explanation:
Please find the attached image for the quadrilateral QRST.
We have been given that . We are asked to find the area of quadrilateral QRST.
Upon looking at the image of quadrilateral QRST, we can see that quadrilateral QRST is a kite as it has one pair of diagonally opposite equal angles (98 degrees).
We know that area of kite is equal to half the product of its diagonal.
We can see from our image that QS and RT are diagonal of kite, so the area of quadrilateral QRST would be:
Therefore, the area of quadrilateral QRST is 216 square units.
