Answer:
<h2>
</h2>
Step-by-step explanation:
Write -13x as a difference
Factor out x from the expression
Factor out -10 from the expression
Factor out x-3 from the expression
Hope I helped!
Best regards!!
Answer:
<em> </em><em>here </em><em>9</em><em>*</em><em>1</em><em>0</em><em>^</em><em>4</em><em> </em><em>is </em><em>a </em><em>square </em><em>number </em>
Step-by-step explanation:
<em>9</em><em>*</em><em>1</em><em>0</em><em>^</em><em>4</em><em> </em><em>=</em><em> </em><em>9</em><em>0</em><em>0</em><em>0</em><em>0</em>
<em>and </em><em>it </em><em>is </em><em>a </em><em>square </em><em>of </em><em>3</em><em>0</em><em>0</em><em> </em>
5x -15 + 3 -8x = 13
5x -12 -8x = 13
5x -8x =13 -12
-3x = 1
x = -1/3
Answer:
m<ABC = 45
m<DBC = 34°
Step-by-step explanation:
Given:
m<ABD = 79°
m<ABC = (8x - 3)°
m<DBC = (5x + 4)°
Step 1: Generate an equation to find the value of x
m<ABC + m<DBC = m<ABD (angle addition postulate)
(8x - 3) + (5x + 4) = 79
Solve for x
8x - 3 + 5x + 4 = 79
13x + 1 = 79
Subtract 1 from both sides
13x + 1 - 1 = 79 - 1
13x = 78
Divide both sides by 13
x = 6
Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle
m<ABC = (8x - 3)°
m<ABC = 8(6) - 3 = 48 - 3 = 45°
m<DBC = (5x + 4)°
m<DBC = 5(6) + 4 = 30 + 4 = 34°
Step-by-step explanation:
!!
Given:
25/50/25 basic liability on her car.
25 - represents the bodily injury per person. 25 stands for $25,000 maximum payout per injured person.
In this case, 2 persons were injured excluding the son. The person who suffered $30,000 will only receive $25,000 from the insurance company. The person who suffered $10,000 will receive $10,000 from the insurance company.
50 - represents the bodily injury per accident. 50 stands for $50,000 maximum payout per accident. In the above case, the two injured passengers totalled $35,000, which is below the maximum payout.
25 - represents the amount of property damage. 25 stands for $25,000 maximum payout. The other car suffered a damage of $20,000 so the insurance company will payout $20,000.
Total payouts are:
passenger 1 - 25,000
passenger 2 - 10,000
car damage - 20,000
total payout from insurance: $55,000
Since this is an at-fault incident, Teresa will have to payout $5,000 to passenger 1 to cover the $30,000 damage. She will have to personally answer for the $10,000 cost of damage to her son as well as the $7,500 damage to her vehicle.
