MCE = 360 - (150 + 70 + 50)
mCE = 360 - 270
mCE = 90
<CDE = 1/2(mBE + mCE)
<CDE = 1/2(150 + 90)
<CDE = 1/2(240)
<CDE = 120
answer
<CDE = 120°
Answer:
7*(n+4) =8
Step-by-step explanation:
seven times the sum
7*(
of an number and 4
7*( n+4)
equal 8
7*(n+4) =8
The required solution is ∠RQT = 202° and ∠QTS = 51°
<h3 />
<h3>What is a cyclic quadrilateral?</h3>
A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also called as inscribed quadrilateral.
Its main property is that the sum of opposite angles of inscribed quadrilateral is always 180 degrees.
Now, the given circle has a cyclic quadrilateral QRST in which it is given that ∠RQT = 202° and ∠QRS = 129°
Since,sum of the opposite angles of a cyclic quadrilateral = 180°
⇒∠QTS + ∠QRS = 180°
⇒ ∠QTS + ∠129° = 180°
⇒ ∠QTS = 180° - ∠129°
⇒ ∠QTS = 51°
Hence,the requires angles are ∠RQT = 202° and ∠QTS = 51°.
More about cyclic quadrilateral :
brainly.com/question/14323008
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given:
x² + 12x = 11
perfect square:
a² + 2ab + b²
a² = x² ⇒ x * x
2ab = 12x ⇒ 2(6)x
b² = 6² ⇒ 36
x² + 12x + 36 = 11 + 36
(x+6)(x+6) = 47
Both sides must be added with 36.
Answer:
m = 134 miles
Step-by-step explanation:
f(m) = 16.95 + 0.92m
140.23 = 16.95 + 0.92m
0.92m = 140.23 - 16.95
0.92m = 123.28
m = 123.28/0.92
m = 134 miles
