Answer:
240°
Step-by-step explanation:
Draw a line EF perpendicular to AB and CD passing through M
In △BME
∠BME+∠MBE+∠BEM=180∘ (Angle sum proprerty)
∠BME+35∘+90∘=180∘∠BME=180∘−125∘∠BME=45∘
In △DMF
∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )
∠DMF+75∘+90∘=180∘∠DMF=180∘−165∘∠DMF=15∘
x=∠DMF+∠BME+∠EMF
x=15∘+45∘+180∘x=240∘
Answer:
b = 3.5 cm
Step-by-step explanation:
Given that,
The area of a rectangle, A = 14. sq cm
The length of one side, l = 4 cm
We need to find the length of another side. The formula for the area of a rectangle is given by :
A = lb
So,

So, the length of the other side is equal to 3.5 cm.
Answer:
The probability that Bentely will be selected first = 0.046
Step-by-step explanation:
The person will be randomly selected, it is not stated that sex is considered in the selection.
The total number of people present at the party = 10 + 12 = 22
The probability that Bentely will be selected first = 1/22
The probability that Bentely will be selected first = 0.046
Answer:
no of kernels pop = 4.34
Step-by-step explanation:
given data
kernels pop in 5 second = 12
kernels are present = 235
solution
we get here kernels are pop at rate of here
kernels are pop at rate = 12 ÷ 235
kernels are pop at rate = 0.051063
and
we get here maximum kernels are remaining that is
maximum kernels remaining = 235 - 140
maximum kernels remaining = 85
so
no of kernels pop in 5 second will be
no of kernels pop = 0.051063 × 85
no of kernels pop = 4.34