Simplify: −6(14x - 23x + 56x) A)-212x B)-x C)2x D)34x
1 answer:
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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°
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:
Answer:
Graph C
Step-by-step explanation:
Hi there!
The given linear equations are organized in slope-intercept form: where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept, or the value of y when the line crosses the y-axis.
y = 2x + 4
Here, the <em>b</em> value is 4. Therefore, the y-intercept of this line is 4.
y = -3x - 2
Here, the <em>b</em> value is -2. Therefore, the y-intercept of this line is -2.
To identify the graph that models these equations, we just have to look for the graph where the lines cross the y-axis at 4 and -2.
The only graph that does this is graph C.
I hope this helps!
Answer:
C and D
Step-by-step explanation:
1
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
= 2π × 10 × =
=
cm → C
-----------------------------------------------------
2
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² ×
= π × 10² × =
=
cm² → D