Answer:
x = 13
Step-by-step explanation:
m∠ABC + m∠CBD = 180° {linear pair}
3x + 43 + 6x + 20 = 180
3x + 6x + 43 + 20 = 180
9x + 63 = 180
9x = 180 - 63
9x = 117
x = 117/9
x = 13
Answer: $447.04
Step-by-step explanation:
Amount (A) = Simple interest + Principal,
Simple interest = (Principal * rate * time)
A = (P * r * t) + P
Principal (P)= $440
rate (r)= 32% or 0.032 as a decimal
Answer:
By Side-Side-Side (SSS) property, CA = CB
Step-by-step explanation:
Given: /AB/ and bisector /CD/.
Proof: CA = CB
But,
AD = BD (since D is the midpoint of AB)
<CDA = CDB (right angle property)
<CAD = CBA (congruent property of triangles)
Therefore;
Δ ACD = ΔBCD (congruence property)
= (proportion of the sides of two congruent triangles)
Thus, by Side-Side-Side (SSS) property, CA = CB
Answer:
The 54th term is -855
Step-by-step explanation:
Since the sequence is arithmetic, then we have to use the rule of the nth term
a is the first term
d is the common difference
n is the position
The given sequence is -7, -23, -39
a=-7
d=-23-(-7)=-23+6=-16
We need to find the 54th term
n=54
Substitute them in the rule
Solve it:
The 54th term is -855