Answer:
Step-by-step explanation:
Top Problem:
Reason:
1. Given
2. Definition of segment bisector ( segment bisector is a line, ray or segment that divides a segment into to congruent segments)
3. Vertical angles are congruent
4. SAS (Side ZP≅XP Angle ZPY ≅ WPX Side WP≅YP)
Bottom Problem
Reason:
1. Given
2. Definition of angle bisector ( an angle bisector is a line, ray or line segment that divides an angle in two congruent angles)
3. Definition of angle bisector
4. Reflexive Property ( a line segment is congruent with itself)
5. ASA (Angle Side Angle Theorem of Congruency)
Answer:

Step-by-step explanation:
Please find the attachment.
We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.
To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.
Upon substituting our given values in Pythagoras theorem, we will get:
Take square root of both sides:
Therefore, the length of side 'a' is
units.
We know that tangent relates opposite side of a right triangle with adjacent side.

We can see that 'a' is opposite side of angle A and 'b' is adjacent side.


Therefore, the value of tan(A) is
.
These are chords of a circle, and the equation to solve for any unknowns is to multiply the 2 sections of one chord and set it equal to the mutiplied 2 sections of the other chord. In our case that will look like this: x * 15 = 6 * 5. That's 15x=30. x = 2
Answer:
Length BC = 26
Step-by-step explanation:
Perimetre = 94
; Perimetre = 2(2x + 3) + 2(3x - 1)
; 94 = 4x + 6 + 6x - 2
; 94 - 4 = 10x
; 90 = 10x
;Therefore the value of x = 9....Hence the length of BC
BC = 3(9) - 1
; BC = 26
Which Expression can be used to solve 3/5÷7/10
A. 5/3*7/10
B. 5/3*10/7
C. 3/5*10/7
D. 3/5*7/10
This expression 3/5÷7/10 means
An option to solve the expression is inverting the fraction that is dividing and going to multiply
3/5 x 10/7 C.
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Verification
A and D are the same