What's an example of a true conditional statement with a true converse?

Jadon Melendez
2022-07-27
Answered

What's an example of a true conditional statement with a true converse?

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Cheyanne Charles

Answered 2022-07-28
Author has **13** answers

If the 3 angles in a triangle are equal to the the 3 angles in another triangle , then the ratos of sides oppposite to the equal angles in the 2 triangles will be same.

Then the triangles are said to be similar

Conversely

If the three sides of one triangle bear the same ratio with the 3 sides of another triangle , then the respective angles in the 2 triangles will be equal . Respective angles mean those corresponding or opposite to the sides in equal ratio

Then the triangles are said to be similar

Then the triangles are said to be similar

Conversely

If the three sides of one triangle bear the same ratio with the 3 sides of another triangle , then the respective angles in the 2 triangles will be equal . Respective angles mean those corresponding or opposite to the sides in equal ratio

Then the triangles are said to be similar

Lisa Hardin

Answered 2022-07-29
Author has **2** answers

Conditional - If it is cold, then I will wear my coatConverse - If I wear my coat, then it is cold

Conditional - If you fall in the pond, then you will get wet.Converse - If you are wet, then you fell in the pond.

Conditional - I'll kiss you if the moon is made of green cheese.Converse - If I kiss you, then the moon is made of green cheese.

Conditional - If you fall in the pond, then you will get wet.Converse - If you are wet, then you fell in the pond.

Conditional - I'll kiss you if the moon is made of green cheese.Converse - If I kiss you, then the moon is made of green cheese.

asked 2022-07-22

Proof of the Exterior Angle Theorem.

The exterior angle theorem for triangles states that the sum of “The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it; this is the exterior angle theorem. The sum of the measures of the three exterior angles (one for each vertex) of any triangle is 360 degrees.” How can we prove this theorem?

So, for the triangle above, we need to prove why $\mathrm{\angle}CBD=\mathrm{\angle}BAC+\mathrm{\angle}BCA$

The exterior angle theorem for triangles states that the sum of “The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it; this is the exterior angle theorem. The sum of the measures of the three exterior angles (one for each vertex) of any triangle is 360 degrees.” How can we prove this theorem?

So, for the triangle above, we need to prove why $\mathrm{\angle}CBD=\mathrm{\angle}BAC+\mathrm{\angle}BCA$

asked 2022-08-05

The central angle of a spherical wedge is 1 radian. Find its volume if the radius of the sphere is 1 unit.

asked 2022-08-12

Integral over solid angle in Cartesian coordinates

I have an integral that is an average of some (unknown) function f over solid angle: $\overline{f}=\frac{1}{4\pi}\underset{\mathrm{\Omega}}{\iint}f\mathrm{sin}\theta \text{}\mathrm{d}\theta \text{}\mathrm{d}\varphi $

I have an integral that is an average of some (unknown) function f over solid angle: $\overline{f}=\frac{1}{4\pi}\underset{\mathrm{\Omega}}{\iint}f\mathrm{sin}\theta \text{}\mathrm{d}\theta \text{}\mathrm{d}\varphi $

asked 2022-11-07

Direction in 3d space described with 2 values: Horizontal and Vertical (x and y) ranging the full 360 degrees (from -180 to +180), thus describing every possible view direction.

It seems fairly straight forward to me, that the angle between (0,0) and (5,0) would be 5 degrees.

But what is the angle between (0,0) and (5,5). If it was 2 points in 2d I would use Pythagoras theorem; having the difference be $\sqrt{(}{5}^{2}+{5}^{2})$. But I don't think that would apply in 3d? How do I go about calculating the angle between these 2 directions?

It seems fairly straight forward to me, that the angle between (0,0) and (5,0) would be 5 degrees.

But what is the angle between (0,0) and (5,5). If it was 2 points in 2d I would use Pythagoras theorem; having the difference be $\sqrt{(}{5}^{2}+{5}^{2})$. But I don't think that would apply in 3d? How do I go about calculating the angle between these 2 directions?

asked 2022-10-11

Find angle of isosceles triangle

Let ABC an isosceles triangle ($AB=AC$) and the bisector from B intersects AC at D such that $AD+BD=BC$. Find the angle A.

Let ABC an isosceles triangle ($AB=AC$) and the bisector from B intersects AC at D such that $AD+BD=BC$. Find the angle A.

asked 2022-11-03

Hypotenuse and angle ratio relationship

In triangle $\mathrm{\angle}BAC=90$, $\mathrm{\angle}ABC$: $\sqrt{ACB}=1:2$ and $AC=4cm$. Calculate the length of BC. I am interested in the solution using Pythagoras theorem.

In triangle $\mathrm{\angle}BAC=90$, $\mathrm{\angle}ABC$: $\sqrt{ACB}=1:2$ and $AC=4cm$. Calculate the length of BC. I am interested in the solution using Pythagoras theorem.

asked 2022-10-13

Angle bisector theorem for computing an angle

Trianlge ABC has $AB=33,AC=88,BC=77.$. Point D lies on BC with $BD=21.$. Compute $\mathrm{\angle}BAD.$.

Trianlge ABC has $AB=33,AC=88,BC=77.$. Point D lies on BC with $BD=21.$. Compute $\mathrm{\angle}BAD.$.