The circumference of a circular pond in the park is 120 meters. Find the area.

Identify the two triangle congruence criteria that do NOT guarantee congruence. Explain why they do not guarantee congruence, an

Mashcka [7]

Answer: Hello mate!

there are two congruence criteria that do not guarantee congruence:

AAA ( or 3 angles)

two triangles can have the same 3 angles, but different size, then they are not congruent; an example of this is:

take the triangle rectangle of both cathetus = 1 and hypotenuse = √2, where the angles are 90°, 45° and 45°

and now take the triangle rectangle with both cathetus = 2 and hypotenuse = √8, this triangle also has the angles 90°, 45°, and 45°, so this two triangles succeed the AAA criteria, but are not congruent.

SSA (side-side-angle)

If two triangles satisfy the SSA criteria and the corresponding angles are acute and the length of the side opposite to the angle is greater than the length of the adjacent side multiplied by the sine of the angle (but less than the length of the adjacent side), then the two triangles are not necessarily congruent.

This is kinda harder to illustrate;

think on a triangle rectangle where you have the measure of both cathetus and one of the angles different from 90° as the SSA data.

and now think on another triangle that has the same adjacent cathetus and angle, and where the other cathetus is rotated (in a sense where 90° is decreasing) to the point where its tip intercepts the hypotenuse of the first triangle.

Those two triangles meet the SSA criteria but are not congruent.

7 0

3 years ago

Mrs. Ameldo's class has 5 students with blue eyes, 7 with brown eyes, 4 with hazel eyes, and 4 with green eyes. Two students are

Vitek1552 [10]

Answer:

5/19

Step-by-step explanation:

There's no explanation, it's just common sense ‍♀️

7 0

3 years ago

Question 5 Multiple Choice Worth 1 points) (04.05 MC) Determine if the ordered pair (-1 , -5) is a solution to the inequality y≤

Zielflug [23.3K]

Answer:

(-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line''.

Step-by-step explanation:

Given the inequality

$y\le -\frac{3}{4}x-1$

substituting (-1, -5) to check whether it satisfies the inequality or not

$-5\le \:-\frac{3}{4}\left(-1\right)-1$

$-5\:\le \:\frac{3}{4}-1$

$-5\:\le -\frac{1}{4}$

TRUE

Thus, (-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line''.

4 0

3 years ago

MAY SOMEONE PLZ HELP ME ON THIS, I DONT KNOW THE EQACTION

just olya [345]

Answer:

I will use "complete-the-square" approach if thats ok

first 0.5(x - 2)² - 2

second -2(x - 4)² + 8

7 0

2 years ago

A set of numbers is shown below:

eimsori [14]

Answer:

[2,4,6]

Step-by-step explanation:

GIVEN EQUATION : 2X+3≥7

i.e, 2x≥7-3

i.e, 2x≥4

i.e, x≥4/2

i.e, x≥2

it's represent number should be greater than or equal to 2

The only number which follows the inequality from the set is 2,4&6

✌️:)

8 0

3 years ago