When a quadrilateral is inscribed in a circle, the opposite angles are supplementary
The description of the angles in the quadrilaterals are:
- b. m∠M = 55°, m∠J = 48°, and m∠L = 132°
- d. m∠L = 40°, m∠M = 60°, and m∠K = 120°
- e. m∠K = 72°, m∠L = 44°, and m∠M = 108°
- f. m∠J = 105°, m∠K = 65°, and m∠L = 75°
<h3>How to describe the angles</h3>
The quadrilateral is given as: JKLM
The opposite angles are:
- Angles J and L
- Angles K and M
The opposite angles are supplementary
So, we have:
Next, we test the options
<u>Option (a)</u>
This is not true
<u>Option (b)</u>
This is true
<u>Option (c)</u>
This is not true
<u>Option (d)</u>
This is true
<u>Option (e)</u>
This is true
<u>Option (f)</u>
This true
Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)
Read more about inscribed quadrilaterals at:
brainly.com/question/26690979
Answer:
The answer is option 3.
Step-by-step explanation:
First we have to find the area of both rectangle and triangle :
Rectangle,
Let base = 9,
Let height = 3,
Triangle,
Let base = 3,
Let height = 3,
Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :
Actually Welcome to the concept of expo functions.
f(x) = -8(2)^x - 12 ,
for f(0) ,here substitute x = 0
so we get as ,
==> f(0) = -8(2)^0 -12
==> f(0) = -8-12
==> f(0) = -20
hence, f(0) = -20
Answer:
y =14
11x = 11*3.5 =38.5
3x+2y = 11x = 38.5
Step-by-step explanation:
The perimeter of a triangle is the sum of all three sides
3x+2y + 11x+y = 91
Combine like terms
14x +3y = 91
The lines mean the sides are equal
3x+2y = 11x
Simplify
Subtract 3x from each side
3x-3x+2y = 11x-3x
2y = 8x
Divide by 2
2y/2 = 8x/2
y = 4x
Substitute 4x in the first equation every time you see y
14x +3y = 91
14x +3(4x) = 91
14x+12x=91
26x = 91
Divide by 26
26x/26 =91/26
x = 3.5
Now we can find y
y = 4x
y = 4(3.5)
y = 14
We know x and y we can find the length of each of the sides
y =14
11x = 11*3.5 =38.5
3x+2y = 11x = 38.5
There are 16 possible outcomes.
This is found by taking the number of possible outcomes for each toss, 2, and raising it to the 4th power (for 4 tosses):
2⁴ = 2*2*2*2 = 16