Answer: m<PQT=60 and m<PQS=4x+14
m<PQS and m<SQT are same
m<PQT = m<PQS + m<SQT = m<PQS + m<PQS = 2m<PQS
m<PQT = 2m<PQS
So m<PQS =
Plug in the given information and solve for x
4x + 14 =
4x + 14 = 30 (subtract 14 on both sides)
4x = 16 (Divide by 4 on both sides)
x = 4
The value of x is 4
Answer:
b
Step-by-step explanation:
Answer:
43.60°
Step-by-step explanation:
We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.
Considering triangle ΔDEF, where ∠F=90°, FE = 21, DF = 20, and ED = 29
As such, with respect to angle E, ED is the hypotenuse, DF is the opposite side and FE is the adjacent side
Cosine ∠E = 21/29
∠E = cos-1 0.724137931
∠E = 43.60° to the nearest hundredth
Answer:
403+40√3 ft^2
Step-by-step explanation:
(20+√3)(20+√3)
400+20√3+20√3+3
403+40√3
Hopes this helps please mark brainliest
