Answer:
O B. 17 units
Step-by-step explanation:
The chord is AC and the radius of the circle is perpendicular to the chord at B. AB = 8.5 units. According to the perpendicular bisector theorem, if the radius of a circle is perpendicular to a chord then the radius bisects the chord. This means that chord AC is bisected by the radius of the circle at point B. The length of the circle is calculated using:
The length of the chord is 17 units.
Sample = 75 printers, Printers used by small businesses = 15
p(15) = 15/75 = 0.2
At 90% limit, Z =1.64
Limit of proportion of printers used by small business = p +/- Z Sqrt [p(1-p)/n]
=0.2 +/- 1.64 * Sqrt [0.2(1-0.2)/75] = 0.2 +/- 0.0757
Limit of proportion => (0.2-0.0757) to (0.2+0.0757) => 0.1243 to 0.2757 or 12.43% to 27.57%
I think its either 9 or 10
∠C is 148°.
Step-by-step explanation:
- Step 1: Given ∠A = 16° and ∠B = (10x - 64)°. Also, AC = BC. Now, the angles opposite to equal sides of a triangle are equal. So ∠B = 16°
- Step 2: Sum of angles of a triangle is 180°
⇒ 16° + 16° + ∠C = 180°
⇒ ∠C = 180 - 32 = 148°
Answer:
Hello your question is incomplete attached below is the complete question
Given: wxyz is a parallelogram, zx ≅ wy prove: wxyz is a rectangle what is the missing reason in step 7? a. triangle angle sum theorem. b. quadrilateral angle sum theorem. c. definition of complementary. d. consecutive ∠s in a ▱ are supplementary. 1. wxyz is a ▱; zx ≅ wy 1. given 2. zy ≅ wx 2. opp. sides of ▱ are ≅ 3. yx ≅ yx 3. reflexive 4. △zyx ≅ △wxy 4. sss ≅ thm. 5. ∠zyx ≅ ∠wxy 5. cpctc 6. m∠zyx ≅ m∠wxy 6. def. of ≅ 7. m∠zyx + m∠wxy = 180° 7. ? 8. m∠zyx + m∠zyx = 180° 8. substitution 9. 2(m∠zyx) = 180° 9. simplification 10. m∠zyx = 90° 10. div. prop. of equality 11. wxyz is a rectangle 11. rectangle ∠ thm.
answer: consecutive angles of any parallelogram are supplementary
Step-by-step explanation:
The missing reason in step 7 is : consecutive angles of any parallelogram are supplementary i.e. m∠ZYX + m∠WXY = 180°
<u>Reason </u>: ZY || WX also XY is the transversal line hence ∠wyx and ∠wxy are the consecutive angles on lines ZY and WX therefore m∠ZYX + m∠WXY = 180° ( sum of consecutive angles )
