Answer:
Step-by-step explanation:
(1,3) and (-2,-6)
The sector of the circle is bounded by 2 radii, and the measure of the central angle that forms the sector is 120 degrees
<h3>How to determine the central angle?</h3>
The given parameters are:
- Area = 75π cm^2
- Radius, r = 15 cm
The area is calculated using
Area = α/360 * πr^2
So, we have:
α/360 * π * 15^2 = 75π
Evaluate the exponent
α/360 * π * 225 = 75π
Divide both sides by 75π
α/360 * 3 = 1
Multiply
α/120 = 1
Multiply both sides by 120
α = 120
Hence, the measure of the central angle that forms the sector is 120 degrees
Read more about sectors at:
brainly.com/question/10090807
1. 4 boxes for 12.....12/4 = 3...paid 3 per box
if 6 were bought....6 * 3 = 18 bucks would be spent
2. 2/9 of 36..." of " means multiply
2/9 * 36 = 72/9 = 8 expected to forget their bows
3. 8 packs for 32.....32/8 = 4 per pack
if 14 packs were bought.....14 * 4 = 56 bucks would be spent
Answer: A. Δ LMN ≅ ΔOPQ because of AAS.
Step-by-step explanation:
In the given picture, we have two triangles Δ LMN and ΔOPQ.
Also it is given that in Δ LMN and ΔOPQ.
So by AAS theorem, we have
Δ LMN ≅ ΔOPQ.
- AAS theorem says that if two angles and any side of a triangle are congruent to two angles and any side of another triangle then the two triangles are congruent.
Answer:
Step-by-step explanation:
equation of a line
y - y1 = m(x -x1)
where (x1, y1) is a point on the line and m is the slope
since it is parallel to the line 3x + y = -7, put in y = mx + b form to find the slope
y = -3x - 7, therefore m = -3
y - 1 = -3(x - 2)
