Answer:
B.
Step-by-step explanation:
<span>Complementary angles by definition sum up to 90 degrees.
Let x = measure of angle2.
It's given that angle1 = x + 54
Since complementary, we know (x+54)+x = 90
2x+54=90
2x=36
x=18.
So angle2 measures 18 degrees and angle1 is 18 degrees+54 degrees, or 72 degrees. 72+18 = 90 as expected for complementary angles.</span>
Answer:
The smaller number is 22
The larger number is 30
Step-by-step explanation:
L + S = 52
L = S + 8
Set both equations equal to L.
S + 8 = -S + 52
+S +S
2S + 8 = 52
- 8 - 8
2S = 44
S = 22
To find the larger number, plug 22 in as S into the equations.
L = 30
Answer:
(A) 
(b) 
(c) 
(d) 
Step-by-step explanation:
We have given expression and we have to simplify the expression using exponent property
(A) 
So 
(b) 
So 
(c) 
So 
(d) 
Answer:
a = 14
b = 24
c = 24.9
A = 33.2 degrees
B = 70 degrees
C = 76.8 degrees
Step-by-step explanation:
a/sin(A) = b/sin(B) = c/sin(C)
14/sin(A) = 24/sin(70)
sin(A)×24 = sin(70)×14
sin(A) = sin(70)× 14/24 = sin(70) × 7/12 = 0.548154029...
A = asin(0.548154029...) = 33.240464... degrees
the sum of all angles in a triangle is airways 180 degrees.
C = 180 - 70 - 33.240464... = 76.75954... degrees
24/sin(70) = c/sin(76.75954...)
c = 24×sin(76.75954...)/sin(70) = 24.86133969...