Answer:
12 andy 9
Step-by-step explanation:
10. Not equivalent.
11. Equivalent
12. Not equivalent
13. Not equivalent
14. Equivalent
15. Can't read, but I think not equivalent.
Basically, if they can be multiplied by the same scale factor they are equivalent, else they aren't.
Answer:
14 apples, 10 bananas
Step-by-step explanation:
.07 * 12 = .84 (12 apples at 7 pence/per = 84 pence)
5 - .84 = 4.16 (4.16 pound remaining)
4.16/.4 = 10.4 (you can buy 10 bananas with 4.16 pounds, with .16 pence remaining)
.16 / .7 = 2.3 (you can buy two more apples with 16 pence)
Hope this helps.
Answer:
(2187 *y∧3) / (x∧10 *z) You must know a∧m * a∧n = a∧(m+n) and
a∧m / a∧n = a∧(m-n)
Step-by-step explanation:
First I will rewrite your expression
( 9*x∧(-2)*y∧(-3)*z∧4)∧2 / (3*x∧(-2)*y∧3*z∧(-3))∧(-3) =
= (9∧2) *( (x∧(-2))∧2) * (y∧(-3))∧2 * (z∧4)∧2 / (3∧(-3)) * (x∧(-2)∧(-3)) * ((y∧3)∧(-3)) * (z∧(-3)∧(-3)) =
= ((3∧2)∧2) * (x∧(-4)) * (y∧(-6)) * (z∧8) / (3∧(-3)) * (x∧6) * (y∧(-9)) *(z∧9) =
= (3∧4)/(3∧(-3)) * (x∧(-4-6)) * (y∧(-6-(-9))) * (z∧(8-9) =
= (3∧(4-(-3))) * (x∧(-10)) * (∧y(-6+9)) * (z∧(-1)) = (3∧(4+3) * (x∧(-10)) *(y∧3) * (z∧(-1)) =
(3∧7) * (x∧(-10)) * (y∧3) * (z∧(-1)) = (2187 * y∧3) / (x∧10 * z)
Good luck!!!
Answer:
m∠1 = 68°
m∠2 = 68°
m∠3 = 112°
m∠4 = 112°
m∠5 = 68°
m∠6 = 68°
m∠7 = 112°
Step-by-step explanation:
<u>Vertical Angle Theorem</u>
When two straight lines intersect, the opposite vertical angles are congruent.
<u>Corresponding Angles Postulate</u>
When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.
<u>Angles on a Straight Line</u>
Angles on a straight line sum to 180°.
Applying the Vertical Angle Theorem and the Corresponding Angles Postulate:
⇒ m∠3 = m∠4 = m∠7 = 112°
To find the measure of angle 2, apply the Angles on a Straight Line theorem:
⇒ m∠2 = 180° - 112° = 68°
Applying the Vertical Angle Theorem and the Corresponding Angles Postulate:
⇒ m∠2 = m∠1 = m∠5 = m∠6 = 68°