Based only on the information given in the diagram, which congruence

Mathematics

1 answer:

mamaluj [8]3 years ago

8 0

Answer:

C. HA

D. AAS

Step-by-step explanation:

∆HIJ is a right triangle with a given labelled acute angle and a given hypotenuse, which are congruent to the acute angle and hypotenuse length of ∆KLM, by on the Hypotenuse-Acute Angle Theorem (HA), ∆HIJ and ∆KLM are congruent.

Also, the two triangles have two given angles that are congruent, and a non-included side (hypotenuse), which are congruent in both triangles, by definition of the AAS congruency theorem, both triangles can be said to be congruent.

Therefore, the congruency theorems that could be given as reasons why both triangles are congruent to each other are the HA and AAS theorems.

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Vector A⃗ has magnitude 5.00 and is at an angle of 36.9∘ south of east. Vector B⃗ has magnitude 6.40 and is at an angle of 20.0∘

timama [110]

Answer:

3.9984i-3.0021j

Step-by-step explanation:

Due to the fact that we are only asked for the components on A, we will focus on that information.

The first thing we need to do is to dimension the magnitud of A as a hypotenuse of a right triangle. As the vector is ponting in south-east direction, we can asume that it´s (i) component will be positive and it´s (j) component will be negative.

Now, using trigonometric functions we can find the components of the vector A by multiplying the magnitude by -sin(x) for (j) and cos(x) for (i).

-5sin(36.9)=-3.0021

(this component is negative due to the fact that the vector is pointing down)

5cos(36.9)= 3.9984

Now we write in the correct notation x(i) + y(j)

3.9984i-3.0021j

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4 years ago

What is the angle measure for angles with 110 degrees and 2x degrees. What is the missing angle measure.

madreJ [45]

It is 35 degrees a piece. Check the previous answer between both of us for clarification.

Hope I helped!

Good luck!

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