On this picture is shown a quadrilateral inscribed in a circle and by the Inscribed Quadrilateral Theorem the angles on the opposite vertices are supplementary, or in other words are equals to 180 degrees.
On this exercise it is asked to find the measure of angle B, First of all, you need to find the value of x. To so you have to select two opposite angles on this case angles A and C.
m<A+m<C=180 Substitute the given values for angles A and C
x+2+x-2=180 Combine like terms
2x=180 Divide by 2 in both sides to isolate x
x=90
Now, that the value of x is known you can substitute it in the expression representing angle D, and then subtract that number from 180 to find the measure of angle B.
m<D=x-10 Substitute the value of x
m<D=90-10 Combine like terms
m<D=80
m<B=180-m<D Substitute the value of angle D
m<B=180-80 Combine like terms
m<B=100
The measure of angle B is 100 degrees, and the value of x is 90.
the required numbers are 7 and 5,
since, 12 = 7 + 5
and 7 × 5 = 35
14.88 to 12.32
14.88 : 12.32. 2 into 14.88 is 7.44, 2 into 12.32 is 6.16
7.44 : 6.16 2 into 7.44 is 3.72, 2 into 6.16 is 3.08
3.72 : 3.08 2 into 3.72 is 1.86, 2 into 3.08 is 1.54
1.86 : 1.54 2 into 1.86 is 0.93, 2 into 1.54 is 0.77
0.93 : 0.77
You can multiply both numbers by 100 to change it whole numbers.
0.93*100 : 0.77*100
93 : 77
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is
Step-by-step explanation:
From the question we are told to obtain the area to the of the z-score 1.39 and to the left of the z-score 1.53, this is mathematically represented as
From the z table on the question the area under the normal curve to the left corresponding to 1.53 and 1.39 is
and
So
=>