Answer: 20π/9 cm²
Step-by-step explanation:
Central angle is given as = 50°
We should note that for a complete circle to be made, it needs 360∘. Therefore, this is 50/360 = 5/36 of the area of a sector.
Area of the sector = 5/36 × πr².
= 5/16 × π × 4²
= 5/36 × π × 16
= 80π/36
= 20π/9 cm²
Answer:
56
Step-by-step explanation:
Factors of 39: 1, 3, 13, 39.
39+13+3+1=
39+4=43
43+13=58
Answer:
The two column proof is presented as follows;
Statement
Reason
1. Parallelogram SUPN
⊥
1. Given
and
⊥ 
2. ∠SRU = ∠PMN = 90°
2. Definition of perpendicular lines
3. ∠SRU ≅ ∠PMN
2. Definition of congruency
4.
║
4. Opposite sides of a parallelogram are
congruent
5. ∠SNR ≅ ∠PUM
5. Alternate interior angles are congruent
6.
≅
6. Opposite sides of a parallelogram are
congruent
7. ΔPMU ≅ ΔSRN
7. By AAS rule of congruency
By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM,
≅
) of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)
Step-by-step explanation:
Answer:
B) {14,7}
Step-by-step explanation:
If the x-axis increases by 2 and the y-axis increases by 1 then think of it as the y-axis will always be HALF of the x-axis. In this case, 7 is half of 14 (14÷2=7). :)