Question 2(multiple choice worth 2 points)
(02.06 mc)
the figure shows rectangle rstw. which of the following conditions satisfies the criteria for rectangles?

a. m b. m c. m d. m

m∠SRZ=40°

Step-by-step explanation:

The figure shows rectangle RSTW which has the angle RTW with measure of 40°.

1. Sides SR and TW are parallel as opposite sides of rectangle, then angles SRZ and RTW are alternate interior angles. By alternate interior angles theorem, they are cingruent, so m∠SRZ=40° . This option is true.

2. Angles STZ and RTW aro complementary (add up to 90°), then

m∠STZ=90°-40°=50°. This option is false.

3. Angle SRW is a right angle (in rectangle all angles are right angles). By the definition of right angle,

m∠SRW=90°. This option is false.

4. Angle TWR is a right angle (in rectangle all angles are right angles). By the definition of right angle,

m∠TWR=90°. This option is false.

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

12/11c

or

12

c

11