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3 years ago

Explain why having three congruent angles in two triangles is not a good way to prove two

1 answer:

3 0

Draw an equilateral triangle with side lengths of 1. Each angle here is 60 degrees, which is true of any equilateral triangle.

Now draw another equilateral triangle that has side lengths of 2 units. Clearly this triangle is not the same size as the previous one, but the angles are all still 60 degrees.

We have an example in which there are 2 triangles with the same angles, but the triangles are not congruent. Therefore, having info about congruent angles only isn't sufficient to prove triangles to be congruent.

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Which statement is true? Lisa has one and four twelves cups of grapes. Dawn has one and eleven twelves cups of grapes. Together

andrew11 [14]

Answer:

The fourth one: Gavin has one and thirteen fourteenths buckets of water. Daven has one and three fourteenths buckets of water. Together they have three and two fourteenths buckets of water.

Step-by-step explanation:

Gavin = 1 13/14

Daven = 1 3/14

1 13/14 + 1 3/14 = 2 16/14

2 16/14 = 3 2/14 = three and two fourteenths

8 0

3 years ago

Question 5 Now take a look at the angle measurements of AABC and AA'B'C'. Move the slider, and observe the values of the angle m

jeka57 [31]

Answer:

Step-by-step explanation:

7 0

3 years ago

The quantity y varies directly as x and inversely as z. When x is 10 and z is 4, y is 15. What is y when x is 20 and z is 6?

frosja888 [35]

Y=(kx)/z

15=(k10)/4
15=(5k/2)
15=k(5/2)
ties both sides by 2/5 to clear fraction
6=k

y=(6x)/z

x=20
z=6
y=(6*20)/6
y=20

8 0

3 years ago

143+ [(96 + 8) 5] – 42.

Tresset [83]

Answer:

621

Explanation:

143 + (96 + 8)(5) − 42

(96 + 8)(5)

= 520

143 + 520 - 42

= 663

663 - 42

= 621

7 0

3 years ago

If | 8x -2 | < 4, Which of the following is true of x? Explain as well.

wariber [46]

The true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75

<h3>What are inequality expressions?</h3>

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

<h3>How to determine the true expression of the variable x?</h3>

The inequality expression is given as

|8x - 2| < 4

Divide through the above equations by 2

So, we have the following inequality expression

|4x - 1| < 2

Remove the absolute value sign from the inequality expression

So, we have

-2 < 4x - 1 < 2

Add 1 to all sides of the above inequality expression

So, we have

-1 < 4x < 3

Divide through the above inequality expression by 4

So, we have

-0.25 < x < 0.75

Hence, the true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75