Remember:
sin²x + cos²x = 1
(-5/13)² + cos²<span>θ = 1
(25/169) + cos²</span><span>θ = 1
cos²</span><span>θ = 1 - (25/169)
cos²</span><span>θ = (144/169)
tan </span>θ > 0 ⇒ cos<span>θ = negative
cos</span>θ = -√(144/169)
cos<span>θ = -(12/13)</span>
Answer: Nancy = x
Kevin = 2x-2
Step-by-step explanation:
Answer:
ΔABC is similar to ΔCDE
Step-by-step explanation:
<u>Statement</u> <u>Reason</u>
DE ║AB Given
∠CDE ≅ ∠CAB Corresponding Angles Theorem
∠C ≅ ∠C Reflexive property of congruence
ΔABC is similar to ΔCDE AA postulate
The Corresponding Angles Theorem states: If two parallel lines (DE and AB) are cut by a transversal (CA), then the pairs of corresponding angles are congruent (∠CDE and ∠CAB).
Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself (∠C is congruent to itself).
Angle Angle (AA) postulate states that two triangles are similar if they have two corresponding angles congruent (∠CDE ≅ ∠CAB and ∠C ≅ ∠C)
Given that,
An expression : 4(n- 3²) + n
To find,
The equivalent expression.
Solution,
We have,
4(n- 3²) + n
As 3²= 9
= 4(n- 9) + n
Opening the brackets,
= 4n-4(9) + n
= 4n-36 +n
= 5n-36
Hence, the equivalent expression is 5n-36.
Answer:
3
Step-by-step explanation:
rise ÷run
6÷2=3
and yh
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