Answer:
x = 28
Step-by-step explanation:
angle 1 and angle 2 are complementary (their sum is 90°)
x + 5 + 2x + 1 = 90 add like terms
3x + 6 = 90 subtract 6 from both sides
3x = 84 divide both sides by 3
x = 28
Answer:
65
Step-by-step explanation:
The sum of the angles in a triangle is 180. In a right triangle, there is one 90 degree angle. If the second angle is 25, and 90+25+the last angle must add up to 180, simple math can find the value of the last angle.
180-90-25=65
Answer:
A) 
Step-by-step explanation:
The graph has x-intercepts at
and
, so our factors for the polynomial will be
and
. This means we can rule out options B and D.
Our graph also has a y-intercept of
when
, so if we let
and
, we can find the multiplier:

Thus, the correct equation is A) 
Answer:
x = 15
Step-by-step explanation:
2(x+3)=36
x+3=18
x=15
I hope this helps! have a wonderful rest of ur day :)
Answer:
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given mean of the Population = 25cm
Given standard deviation of the Population = 2.60
Let 'x' be the random variable in normal distribution
Given x=22

<u><em>Step(ii):</em></u>-
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = P( Z<-1.15)
= 1-P(Z>1.15)
= 1-( 0.5+A(1.15)
= 0.5 - A(1.15)
= 0.5 - 0.3749
= 0.1251
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251