Answer:
z = 155 ( second choice )
Step-by-step explanation:
x = 25
65 + 90 = 155
180 - 155 = 25 = x
180 - 25 = 155 = z
Up 2 units = y shifted up by 2:
y = x^2 + 2
to the right 3 units = x shifted right (+) by 3:
y + 3 = x^2 +2
new equation:
y = x^2 - 1
<span>Consider a angle â BAC and the point D on its defector
Assume that DB is perpendicular to AB and DC is perpendicular to AC.
Lets prove DB and DC are congruent (that is point D is equidistant from sides of an angle â BAC
Proof
Consider triangles ΔADB and ΔADC
Both are right angle, â ABD= â ACD=90 degree
They have congruent acute angle â BAD and â CAD( since AD is angle bisector)
They share hypotenuse AD
therefore these right angle are congruent by two angle and sides and, therefore, their sides DB and DC are congruent too, as luing across congruent angles</span>
ANSWER: x=12
EXPLANATION:
9+x/6=11
(54+x)/6=11 (finding common denominator)
x/6=11-54/6 (rearranging terms)
x/6=(66-54)/6 (finding common denominator so 6 gets cancelled from both the sides)
x=12
Answer:
3 : 7 =>
Anna = $180
Raman = $420
1 : 4 =>
Anna = $120
Raman = $480
Step-by-step explanation:
<u>Shares when ratio is 3 : 7</u>
Anna : Raman = 3 : 7
Sum of ratio 10
Anna's share=

Raman 's share=

<u>Shares when ratio is 1 : 4</u>
Anna : Raman = 1 : 4
Sum of ratio = 5
Anna 's share =

Raman's share =
