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Angle_abc_is_congruent_to_angle_def_Angle_A_is_22_degrees_Angle_D_is_5y-3_degrees_Find_x_y_Given_are_the_hypotenuse_of_9_and_3x

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Q: Angle abc is congruent to angle def Angle A is 22 degrees Angle D is 5y-3 degrees Find x y Given are the hypotenuse of 9 and 3x?
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An acute angle called apb has inside it angle cpb. Angle cpb is 17 degrees and angle apc and cpb are congruent. What is the angle of apc?

Angle cpb is given as 17 degrees, and it's inside angle apb. Additionally, angle cpb is congruent to angle apc. That means angle apb is twice angle cpb, or twice 17 degrees, or 34 degrees.


What is the length of BC in this triangle angle BAC equals 40 degrees and angle ABC equals 50 degrees and angle BCA equals 90 degrees .?

In order to find length BC the length of AC or length of the hypotenuse must be given


SSA does not guarantee congruence between two triangles?

True. Only if the given angle is between the two sides will the two triangles guarantee to be congruent (SAS), unless the given angle is a right angle (90°) in which case you now have RHS (Right-angle, Hypotenuse, Side) which does guarantee congruence.


How do you find the hypotenuse with only a leg and a degree?

If it's a right angle triangle and an acute angle plus the length of a leg is given then use trigonometry to find the hypotenuse.


How can you prove a triangle ABC is isosceles if angle BAD is congruent to angle CAD and line AD is perpendicular to line Bc?

Given: AD perpendicular to BC; angle BAD congruent to CAD Prove: ABC is isosceles Plan: Principle a.s.a Proof: 1. angle BAD congruent to angle CAD (given) 2. Since AD is perpendicular to BC, then the angle BDA is congruent to the angle CDA (all right angles are congruent). 3. AD is congruent to AD (reflexive property) 4. triangle BAD congruent to triangle CAD (principle a.s.a) 5. AB is congruent to AC (corresponding parts of congruent triangles are congruent) 6. triangle ABC is isosceles (it has two congruent sides)

Related questions

An acute angle called apb has inside it angle cpb. Angle cpb is 17 degrees and angle apc and cpb are congruent. What is the angle of apc?

Angle cpb is given as 17 degrees, and it's inside angle apb. Additionally, angle cpb is congruent to angle apc. That means angle apb is twice angle cpb, or twice 17 degrees, or 34 degrees.


If an angle of rhombus is 35degrees what are the remaining three angles?

The opposite angles of a rhombus are congruent. So the angle opposite to the given angle is also 35 degrees. The consecutive angles of a rhombus are supplementary (add up to 180 degrees). So the supplement angle of the given angle is 145 degrees (180 - 35), and the angle opposite to that angle also will be 145 degrees.


How do you know if a triangle is right angled if the hypotenuse measurement is not given?

You should be able to see the right angle - 90 degrees


What is the length of BC in this triangle angle BAC equals 40 degrees and angle ABC equals 50 degrees and angle BCA equals 90 degrees .?

In order to find length BC the length of AC or length of the hypotenuse must be given


SSA does not guarantee congruence between two triangles?

True. Only if the given angle is between the two sides will the two triangles guarantee to be congruent (SAS), unless the given angle is a right angle (90°) in which case you now have RHS (Right-angle, Hypotenuse, Side) which does guarantee congruence.


What name is given to the longest side of a right angle?

hypotenuse . and the hypotenuse is always c :)


What are facts about right triangles?

The ratio of the length of the side opposite a given angle to the hypotenuse is the sine of that angle.The ratio of the length of the side adjacent to a given angle to the hypotenuse is the cosine of that angle.The ratio of the length of the side opposite a given angle to the side adjacent to that angle is the tangent of that angle.


For a given angle the length of the side opposite the angle divided by the hypotenuse is called the?

Sine.


What name is given to the line opposite the right angle in any right angle triangle?

The Hypotenuse.


How many degrees are in a supplementary angle?

A supplementary angle is a 180-degree angle minus the number of degrees in the given angle.


How do you find the hypotenuse with only a leg and a degree?

If it's a right angle triangle and an acute angle plus the length of a leg is given then use trigonometry to find the hypotenuse.


How do you find angle of elevation when given hypotenuse and a base?

Given the hypotenuse and the base ...-- divide the (base) by the (hypotenuse); get a number less than '1'.-- the number is the 'cosine' of the elevation angle.-- either take the cos-1 of the number on a calculator, which is the angleOR-- look up the number in a table of cosines and see what angle it represents.