Answer:
m∠7 = 63 degrees
m∠8 = 117 degrees
m∠9 = 63 degrees
Step-by-step explanation:
When two lines intersect at a point, then they formed 2 pairs of vertically opposite angles and 4 pairs of linear angles
- The vertically opposite angles are equal in measures
- The linear angles have a sum of 180°
In the given figure
∵ There are two lines intersected at a point
∴ The angle of measure 117° and ∠8 are vertically opposite angles
∴ ∠7 and ∠9 are vertically opposite angles
∴ The angle of measure 117° and ∠7 are linear angles
∵ The vertically opposite angles are equal in measures
∴ The angle of measure 117° and ∠8 are equal in measures
∴ m∠8 = 117°
∵ The sum of the measures of the linear angles is 180°
∴ m∠7 + 117° = 180°
→ Subtract 118 from both sides
∵ m∠7 + 117 - 117 = 180 - 117
∴ m∠7 = 63°
∵ m∠7 = m∠9 ⇒ proved up
∴ m∠9 = 63°
Answer:
3/4 bucket
Step-by-step explanation:
Elle placed a bucket under a leaky roof. The bucket was 3/10 full after 2/5 of an hour. How much water is leaking per hour
Water leaking : time taken
Let x = amount of water leaking per hour
3/10 : 2/5 = x : 1
3/10 ÷ 2/5 = x / 1
3/10 × 5/2 = x / 1
15 / 20 = x / 1
Cross product
15 * 1 = 20 * x
15 = 20x
x = 15/20
= 3/4
3/4 bucket of water is leaking per hour
Answer:-1
Step-by-step explanation:
2 dollars gained in July 2 dollars gained in August and 5 dollars lost in September is -1
explain how you know whether to add or subtract when you use the distributive property to multiply.
