Step-by-step explanation:
<u>Statement Reason </u>
∠5 and ∠7 are vertical angles Vertical angles theorem
m∠5 = m∠7 Definition of vertical angles
m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given
-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality
-6x + 8 = 3x - 9 - 1 Distributive property
3x + 6x = 8 + 10 Addition property
9x = 18 Addition property
x = 18/9 Division property
x = 2 Proved
It’s the first one. I think
Answer:
Step-by-step explanation:
Given
Required
Determine the part left
The part left is calculated using:
Take LCM
Answer:
blank 1: 3x
blank 2: 3y
blank 3: dilation?
Step-by-step explanation:
Honestly for these I don't think I have enough information. There could be multiple answers
<h3>Solution(s):</h3>
<u>1)</u><u> What distance did a car travel that went 70 mph for 6 hours?</u>
Given:
<u>Multiply the RHS by 6 to see what distance was covered by the car in 6 hours.</u>
- 70 miles = 1 hour
- => 70 x 6 miles = 6 hours
- => 420 miles = 6 hours
The car traveled 420 miles in 6 hours.
<u>2)</u><u> What is the perimeter of a rectangle with a length of 7 cm and a width of 4 cm?</u>
Given:
- Length: 7 cm
- Breadth: 4 cm
Formula to find perimeter: 2(L) + 2(B)
<u>Substitute the values into the formula to find the perimeter.</u>
- 2(L) + 2(B)
- => 2(7) + 2(4)
- => 14 + 8
- => 22 cm
The perimeter of the rectangle is 22 cm.
