Option A:
The simplest radical form of x is 
.
Solution:
Hypotenuse = 16 in
Two sides are 11 in and x.
To find the value of x:
Pythagoras theorem:
In a right angle triangle, the hypotenuse is equal to the sum of the other two sides.
Subtract 121 from both sides of the equation.
Taking square root on both sides of the equation.
Hence option A is the correct answer.
Hence the simplest radical form of x is .
Answer:
Option B
Step-by-step explanation:
When two intersecting lines cut each other they form four angles. these two pair of angles are called opposite angles or vertical angles. The vertical angles formed by two intersecting segments are equal.
Thus option B is correct: The vertical Angles Formed By Two Intersecting Segments Are Congruent !
Answer:
Rectangle calc: find D ( diagonal); Golden rectangle; Properties of a rectangle; Rectangle vs. other shapes. Is a square
hope it helps
Answer:
Part 1) The exact value of the arc length is \frac{25}{6}\pi \ in
Part 2) The approximate value of the arc length is 13.1\ in
Step-by-step explanation:
ind the circumference of the circle
The circumference of a circle is equal to
C=2\pi r
we have
r=5\ in
substitute
C=2\pi (5)
C=10\pi\ in
step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion
\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in
Find the approximate value of the arc length
To find the approximate value, assume
\pi =3.14
substitute
\frac{25}{6}(3.14)=13.1\ in
Multiply the numbers on the major axis which are 2 and -9 to get -18. Subtract from that 3*4 = 12. So -18-12 = -30. That's the determinant.
