They retail price would have to be .93 or lower
Answer:
x + 96 = 90°
x + 89 = 80°
Step-by-step explanation:
<u>Consecutive Interior Angles Theorem</u>
When a transversal line intersects two parallel lines, it forms two pairs of consecutive angles on either side of the transversal line. Each pair of consecutive interior angles are supplementary (sum to 180°).
<u>Question 1</u>
To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 96)° + (x + 96)° = 180°
⇒ x + 96 + x + 96 = 180
⇒ 2x + 192 = 180
⇒ 2x + 192 - 192 = 180 - 192
⇒ 2x = -12
⇒ 2x ÷ 2 = -12 ÷ 2
⇒ x = -6
Substitute the found value of x into the expression to find the measure of the angle indicated in bold:
⇒ x + 96 = -6 + 96 = 90°
<u>Question 2</u>
To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 109)° + (x + 89)° = 180°
⇒ x + 109 + x + 89 = 180
⇒ 2x + 198 = 180
⇒ 2x + 198 - 198 = 180 - 198
⇒ 2x = -18
⇒ 2x ÷ 2 = -18 ÷ 2
⇒ x = -9
Substitute the found value of x into the expression to find the measure of the angle indicated in bold:
⇒ x + 89 = -9 + 89 = 80°
Answer:4
Step-by-step explanation:
Answer:
Lina's solution is correct because it expresses 126 as a product of prime factors.
Step-by-step explanation:
Prime factorization can be defined as a methodology of breaking down an original number down into the set of prime numbers which when multiplied together give us the original number.
Prime factorization makes use of a factor tree
The number we are to carry out prime factorization on is 126
126
/\
3 42
/\
6 7
/\
2 3
The Prime Factorization is:
2 x 3 x 3 x 7
Hence, Lina's factor tree of 126. 126 branches to 3 and 42. 42 branches to 6 and 7. 6 branches to 2 and 3. The equation is 126
= 2 times 3 squared times 7.
Is correct.
Answer:
qwertyuiop[]sdfghjkl;'sxcfvgbhnjmk,l.;zsexdrcftvgybhunjimko,lp.zsexdrcftvgybhunjimko,lp.;
Step-by-step explanation:
