Answer:
6x = 30
Step-by-step explanation:
6x
Let x = 5
6*5 = 30
6x = 30
Answer: 17 families
Step-by-step explanation:
Answer: See explanation
Step-by-step explanation:
Here is the remainder of the question:
a. Who has more money after the first additional deposit? Explain.
b. Who has more money after the second additional deposit?
a. Amount put in savings account = $300
Leroi's amount after first week = $300 + $60 = $360
Sylvia's amount after first week = $300 + (20% × $300) = $300 + (0.2 × $300) = $300 + $60 = $360
They both have equal amount after the first week.
b. After the second deposit,
Leroi's saving = $360 + $60 = $420
Sylvia's saving = $360 + (20% × $360) = $360 + $72 = $432
Sylvia has more savings after the second week
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°