Answer:
102,000
Step-by-step explanation:
Answer:
Let the number be x.
Given the statement: The ratio of the measure of the three angles is, 4 : 5 : 6.
Then, the angles be 4x , 5x and 6x respectively.
We know that: The sum of all the measures of angles is 180 degree.
then;

Combine like terms;

Divide by 15 both sides we get;

Then, the measure of each angle of triangle:



Answer:
m∠Q = 61°
m∠S = 61°
m∠R = 58°
Step-by-step explanation:
Since we have an isosceles triangle, we know that ∠Q and ∠S are congruent.
Step 1: Definition of isosceles triangle
2x + 41 = 3x + 31
41 = x + 31
x = 10
Step 2: Find m∠Q
m∠Q = 2(10) + 41
m∠Q = 20 + 41
m∠Q = 61°
Step 3: Find m∠S
Since m∠Q = m∠S,
m∠S = 61°
Step 4: Find m∠R (Definition of a triangle)
Sum of angles in a triangle adds up to 180°
m∠R = 180 - (61 + 61)
m∠R = 180 - 122
m∠R = 58°
Answer:
New price of the ball after discount = $16.65
Step-by-step explanation:
Selling price of the soccer ball = $45
Discount labeled on the ball = 63% off
Therefore, selling price after the discount = Original selling price - %discount
= $45 - (63% of $45)
= $45 - $28.35
= $16.65
New price of the ball after discount = $16.65
Answer:

Step-by-step explanation:
Given
Dimension: 10in by 20in by 10in
Required
Determine the capacity of the aquarium
This question implies that, we calculate the volume of the prism and this is calculated by multiplying the dimensions of the aquarium. i.e.

Substitute values for the dimensions


Hence, the volume of the aquarium is 2000 cubic inches