∠KPL ≅ ∠MRL as perpendicular always makes an angle of 90°.
<h3>
What specifically is meant by "triangle congruency"?</h3>
- When two triangles' three corresponding sides and angles are the same sizes, they are said to be congruent.
- These triangles can be moved, rotated, flipped, and turned to look exactly the same.
- They will coincide if they are moved.
- Congruence exists when two triangles satisfy the five congruence conditions.
- They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).
So,
Given: ∠ K ≅ ∠M, KP⊥ PR, MR ⊥ PR
To Prove: ∠KPL ≅ ∠MRL
- As MR ⊥ PR (Given), then: ∠MRL = 90°
- Similarly, KP⊥ PR (Given), then: ∠KPL = 90°
So, ∠KPL ≅ ∠MRL.
Therefore, ∠KPL ≅ ∠MRL as perpendicular always makes an angle of 90°.
Know more about the congruency of a triangle here:
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Hey there! I'm happy to help!
When talking about percents, the word "is" usually means equals. Let's use this to solve an equation! We will call our number n. Note that 30% is equal to 0.3 in decimal form because 0.3 is 30% of one! :D
0.3n=45
To solve, we need to isolate the n. To do this, we divide both sides by 0.3 because this cancels out the 0.3 that is being multiplied by n and it shows us what n will then equal.
0.3n÷0.3=45÷0.3
n=150
Therefore, 30% of 150 is 45. Try multiplying 0.3 by 150 and you will get 45!
Have a wonderful day! :D
Answer:
The numerical length of BD is 20 units
Step-by-step explanation:
Let us solve the question
∵ Point C lies on the line segment BD
→ That means C divides BD into 2 parts
∴ C divides BD into 2 parts BC and CD
∴ BD = BC + CD
∵ BD = 5x
∵ BC = 4x
∵ CD = 4
→ Substitute them in the equation above
∴ 5x = 4x + 4
→ Subtract 4x from both sides
∵ 5x - 4x = 4x - 4x + 4
∴ x = 4
→ Substitute the value of x in the expression of BD
∵ BD = 5x
∵ x = 4
∴ BD = 5(4) = 20
∴ The numerical length of BD is 20 units
Answer:
Step-by-step explanation:
The exact value of sin(45) sin ( 45 ) is √22 2 2 . The exact value of cos(60) cos ( 60 ) is 12 1 2 . The exact value of cos(45) cos ( 45 ) is √22 2 2 . The exact value of sin(60) sin ( 60 ) is √32 3 2 .
Answer:
ABC is a right triangle. Angle B is 90 degrees. XYZ is not a right triangle. There are no points or angles with 90 degrees.
Step-by-step explanation: