Answer:
x = 10
y = 6
Step-by-step explanation:
<u>Vertical Angle Theorem</u>: When two straight lines intersect, the opposite vertical angles are always equal to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4
⇒ m∠1 = m∠3
⇒ 10x = 100
⇒ x = 10
<u>Linear pair:</u> Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ 100 + 10y + 20 = 180
⇒ 120 + 10y = 180
⇒ 10y = 60
⇒ y = 6
9. she spends 1 hour total and 1/2 hour on spanish. So she has another 1/2 on another subject ( as she spends equal time on each subject)
So number of subjects = 1 / 1/2 = 1 * 2 = 2
Answer:
Step-by-step explanation:
You need the Pythagorean Theorem to solve this question. There is no be part.
Equation
c^2 = a^2 + b^2
Givens
a = 32
b = 21
c = ?
Solution
c^2 = a^2 + b^2 Substitute the values
c^2 = 32^2 + 21^2 Expand
c^2 = 1024 + 441 Combine
c^2 = 1465 Take the square root of both sides
√c^2 = √1465
c = 38.275
Answer: 38.3 rounded
Answer:
5j
Step-by-step explanation:
Multiply the number of boxes time the pencils in each box
5j
