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Sergeu [11.5K]
1 year ago
9

14. Let g represent Gupta's age. You can solve the equation 2g - 5+ g = 31 to find g. Which property would not be used in solvin

g this equation? A. Addition Property of Equality B. Commutative Property of Addition C. Division Property of Equality D. Subtraction Property of Equality
Mathematics
1 answer:
True [87]1 year ago
8 0

Answer:

B. Commutative Property of Addition

Explanation:

To find out the property that would not be used in solving this equation, we solve for g.

\begin{gathered} 2g-5+g=31 \\ 3g-5=31 \\ \text{Add 5 to both sides} \\ 3g-5+5=31+5 \\ 3g=36 \\ \text{Divide both sides by 3} \\ \frac{3g}{3}=\frac{36}{3} \\ g=12 \end{gathered}

We have applied the following:

A. Addition Property of Equality/D. Subtraction Property of Equality​

C. Division Property of Equality

Therefore, the property that would not be used is:

B. Commutative Property of Addition

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Every triangle in the figure at right is equilateral. What is the measure of ∠AGE?
Andrew [12]

Answer:

120°

Step-by-step explanation:

All the angles of an equilateral triangle are equal, and hence have a measure of 60°.

∵ ∠AGF is a part of equilateral Δ AGF, m∠AGF = 60°.

∵ ∠FGE is a part of equilateral Δ AGF, m∠FGE = 60°.

Also note that ∠AGE = ∠AGF + ∠FGE.

⇒ m∠AGE = m∠AGF + m∠FGE

⇒ m∠AGE  = 60° + 60°

                    = 120°.

7 0
3 years ago
Draw a rectangle that shows 8 equal parts . Shade more than 3/8 of the rectangle but less than 5/8 .what fraction did you model?
Tresset [83]

Answer:

4/8 more than 3/ but less than 5/8

6 0
3 years ago
Prove that a triangle with the sides a - 1 cm to root under a ​
vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.  

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm  

Hence,

{AB}^2 = (a -1)^2 

Now We know that

(a- b)^2 = a^2+b^2 - 2ab

So;

{AB}^2= a^2 + 1^2 -2\times a \times1

{AB}^2 = a^2 + 1 -2a

Now;

{BC}^2 = (2\sqrt{a})^2= 4a

Also;

{CA}^2 = (a + 1)^2

Now We know that

(a+ b)^2 = a^2+b^2 + 2ab

{CA}^2= a^2 + 1^2 +2\times a \times1

{CA}^2 = a^2 + 1 +2a

{CA}^2 = AB^2 + BC^2

[By Pythagoras theorem]

a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a

Hence, {CA}^2 = AB^2 + BC^2

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

4 0
3 years ago
Pls help this question is way to hard
lubasha [3.4K]

Answer:

men dog-59.09 women-40.90  total- 100%

men cat-61.29 women-38.70  total- 100%

men bird-39.13 women- 60.87  total- 100%

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Step-by-step explanation:

6 0
3 years ago
What is the median of this data set? {29, 22, 23, 31, 29, 29, 22, 23} Enter your answer in the box.
GaryK [48]

Answer:

The median is 26

Step-by-step explanation:

A "median" is equivalent to, when the terms are arranged in the proper order, whichever term is in the "middle".

So- first, arrange the terms in ascending order.

[22, 22, 23, 23, 29, 29, 29, 31]

There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.

(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.

(52)/2 = 26

Therefore, the median is 26.

I hope this helped! :)

4 0
2 years ago
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