To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number <em>subtracted </em>from the square root. In other words, the conjugate of 
would be
.
Applying that information to our fraction shown here, the conjugate of the denominator would be 
. We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.
Our answer is 
.
Answer:
Statement 3
Step-by-step explanation:
∠GAF ≅ ∠TAE
Since, there is no relation between these angles,
Therefore, statement is False.
∠TAE and ∠FAH are complementary.
If the sum of the two angles is 90°, pair of angles is said to be complimentary angles.
Therefore, this statement is False.
∠TAF is obtuse.
Measure of obtuse angle is more than 90°
From the given picture, measure of ∠TAF = m∠TAH + m∠HAF
= 90° + 50°
= 140°
Here, m∠TAF > 90°
Therefore, ∠TAF is an obtuse angle.
Statement (3) is the correct statement.
Answer:
Its 48 °
Since its a triangle, the total angle will be 180°
So,
x° + 42°+90°=180°(90° as one angle in triangle is 90°)
x°=180°-90°-42°
x°=48°
AC is parallel to MN then triangle ABC and triangle MBN are similar and the ratio of the corresponding sides are equal...
Answer:
139.36
Step-by-step explanation:
first you do 8*8 because that would be the area of the square part
8*8=64
then find the area of the semicircle
first the Radis of it is 4 because 8/2=4
A=3.14R^2/2
3.14*4^2/2
3.14*16/2
50.24/2
25.12
now because there are 3 of the semicircles you do
25.12*3
75.36
then you add the 64 from the square to get your answer
75.36+64
139.36
