Answer:
First Question = 16 Second Question = 8
Step-by-step explanation:
First one
32+48=x(2+3)
80=5x
Divide each sides with 5 and you have x=16
Second one
32+48=4(x+12)
80=4x+48
subtract 48 from 48 and 80 and you have 32=4x.
Divide it with 4 both side and you have x=8
Answer:
By definition, angles A and 1 are corresponding angles and angles B and 1 are consecutive angles. By the corresponding angles postulate, angles A and 1 are congruent, and by the consecutive angles theorem, angles B and 1 are supplementary. By the definition of supplementary angles, measures of angle B and 1 add up to 180 degrees (m<B + m<1 = 180). By definition of congruent angles, angles A and 1 have same measurement (m<A = m<1). By substitution property of equality, measures of angles A and B add up to 180 degrees (m<A + m<B = 180). By definition of supplementary angles, angles A and B are supplementary.
Answer:
x=12
Step-by-step explanation:
8x6=48 =x
6x6=36
equation= 6x*6-48=x
Answer:
Step-by-step explanation:
a) P(X > 6) = (9.5-6)/(9.5-5.5) = 3.5/4 = 0.875
b) P(X < 7) = (7-5.5)/(9.5-5.5) = 1.5/4 = 0.375
c) E(X) = (9.5+5.5)/2 = 7.5
Standard deviation = (9.5-5.5)/sqrt(12) =4/3.46 = 1.154
P= 1.156*2/(9.5-5.5) = 2.308/4 = 0.577
d) P(X > t) = 0.25
(9.5-t) /(9.5-5.5) = 0.3
9.5-t = 1.2
t = 9.5-1.2 = 8.3
Side of a square=s=3⁵/² in
A=s²
A=(3⁵/² in)²=3¹⁰/² in²=3⁵ in²=243 in²
answer. 243 in²
