Answer:
26.0 cm
Step-by-step explanation:
Given quadrilateral ABCD with diagonal BD forming triangles ABD and BCD, and angles A=90°, C=52°, ADB=35°, and CBD=52°, you want the length of CD to 3 significant figures.
<h3>Law of Sines</h3>
The law of sines tells you the relation between sides and opposite angles is ...
a/sin(A) = b/sin(B) = c/sin(C)
This lets us write two proportions that can be solved for the measure of CD.
In triangle ABD:
BD/sin(A) = AB/sin(D)
BD = AB·sin(90°)/sin(35°) = 12 cm/sin(35°) ≈ 20.921 cm
In triangle BCD:
CD/sin(B) = BD/sin(C)
CD = BD·sin(B)/sin(C) = 20.921 cm·sin(102°)/sin(52°) ≈ 25.969 cm
The length of CD is about 26.0 cm.
Answer:
x<-14
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: x<-14
Answer:
Equation: 14 + x = 16
The unknown variable: x = 2
Step-by-step explanation:
The sum of 14 and a number x:
14 + x
is equal to 16
14 + x = 16
14 + x = 16
x = 16 - 14
x = 2
Answer:
It is $3.46
Step-by-step explanation:
Hope this helped have an amazing day!
Answer: y= (6/5)x - (18/5)