Ronan and Hazel are adding books to their class libraries. Ronan's classroom started out with 14 books and she plans to but 2 more books per week. Hazel started out with 22 books, and she has enough money in her budget to purchase one book per week. At some point, the teacher’s will have the same amount of books. Which week will have the same number of books and how many books will each class have?​

The Measurement of Line GX will be 13 and ∠ABX will be 22°

What is the right-angle triangle?

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, Point X is the incenter of ΔABC. Triangle A B C has point X as its incenter. Lines are drawn from the points of the triangle to point X.

Also Given :

EX = 4z + 1  and XF = 2z + 7

Solution :

Take EX and XF equal time each other and then solve for z and then you will get GX because EX = XF = GX is congruent.

EX = XF

4z + 1 = 2z + 7

2z = 6

z = 3

As,    EX = XF = GX

EX = 4(3) + 1

EX = 13

Thus, GX = 13      ------      ( EX = XF = GX )

To find the  ∠ABX, divide  ∠ABC them  by 2 you will get

∠ABX = 22°

Therefore, The Measurement of Line GX will be 13 and ∠ABX will be 22°.

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Answer:

The first one is 13.

The second one is 22.

Step-by-step explanation:

I took the  test I know this is correct. :)

Answer:A1 = a  If A1 represents a variable in an equation, we need the equation and any additional information to solve for its value. Once we have the equation and any given values, we can substitute those values into the equation and solve for A1.  Without more context or information, it is not possible to determine the value of A1. If you can provide the equation or any additional details, I will be able to help you further in determining the value of A1.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

8 38/45 inches

Step-by-step explanation:

A regular size chocolate bar is 5 and 4/9 inches long. If the king size bar is 3 and 2/5 inches longer, what is the length of the king size bar?

Let us represent:

Length of regular size chocolate bar = x

Length of king size chocolate bar = y

A regular size chocolate bar is 5 and 4/9 inches long.

x = 5 4/9 inches

If the king size bar is 3 and 2/5 inches longer,

Hence:

y = x + 3 2/5 inches

The length of the king size bar is calculated as:

5 4/9 inches + 3 2/5 inches

(5 + 3) + ( 4/9 + 2/5)

Lowest common denominator = 45

8 + (20 + 18/45)

8 38/45 inches

Final answer:

The king size chocolate bar is 8 and 26/45 inches long, which is calculated by adding the given lengths of the regular bar and the additional length of the king size bar.

Explanation:

The question asks about the length of a king size chocolate bar given the lengths of a regular size bar and the additional length of the king size bar. To find the length of the king size bar, we need to add the additional length to the length of the regular bar. The regular bar is 5 and 4/9 inches long and the king size bar is 3 and 2/5 inches longer. If we add these lengths together:

5 4/9 + 3 2/5 = 8 and 26/45 inches

So, the length of the king size bar is 8 and 26/45 inches.

This problem involves basic arithmetic with fractions, which is a common concept in Mathematics for Middle School students. Remember that when adding fractions, you need to have the same denominator.

Learn more about Adding Fractions here:

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