Answer:
The length of BC = 28 units
Step-by-step explanation:
* In triangle ABC
∵ Angles B and C are congruent
∴ m∠B = m∠C
* In any triangle if two angles are equal in measure, then the triangle is isosceles means the two sides which opposite to the congruent angles are equal in length
∴ AB = AC
∵ AB = 4x - 7
∵ AC = 2x + 7
∴ 4x - 7 = 2x + 7 ⇒ collect like terms
∴ 4x - 2x = 7 + 7
∴ 2x = 14 ⇒ divide both sides by 2
∴ x = 14 ÷ 2 = 7
* Now we can find the length of BC
∵ The length of BC = 4x ⇒ substitute the value of x
∴ The length of BC = 4 × 7 = 28 units
Answer: Mike bought 120 pounds of fish and Millie bought 30 pounds of fish.
Step-by-step explanation:
If the ratio is 8 to 2 then 8/10 will be the probability of Mike buying fist and 2/10 will be the probability of Millie buying fish.
Now multiply each fraction by the total number of pounds to find how many pounds each bought.
8/10 * 150 = 1200/10 = 120
2/10 * 150 = 300/10 = 30
In this case, Mike bought 120 pounds of fish and Millie bought 30 pounds of fish.
Answer:
$2,373.23
Step-by-step explanation:
-Tax refund is determined by comparing your total income tax to the amount that was withheld for federal income tax.
-Assuming that the amount withheld for federal income tax was greater than your income tax for the year, you will receive a refund for the difference.
#Refund =Withheld -Actual Tax liability=$15345.21-$12971.98=$2,373.23
Hence James' tax refund will be $2,373.23
Answer:
Step-by-step explanation:
The volume of a sphere is
We are told our volume is 500pi/3, so we fill that in and solve for r:
Start by multiplying both sides by 3 over 4 pi:
Simplifying gives us
Take the cubed root of both sides to get that
r = 5
