If ΔGJI and ΔPKH are similar, then ∡G≅∡P, ∡J≅∡K and ∡I≅∡H.
We have m∡G + m∡P = 50°, therefore m∡G = m∡P = 50° : 2 = 25°.
m∡I = 48° therefore m∡H = 48°.
We know, the sum of the measures of the angles of a triangle is equal 180°.
Therefore we have the equation:
m∡G + m∡J + m∡I = 180°
25° + m∡J + 48° =180°
73° + m∡J = 180° <em>subtract 73° from both sides</em>
m∡J = 107° → m∡K = 107°.
<h3>Answer: ΔGJI and ΔPKH: 25°, 107°, 48°</h3>
Answer: $16
Step-by-step explanation:
reduce by 20% means cutting from 100% and leftover with 80% of original
100%-20%=80%
original price: $20×100%=$20
after reduction: $20×(100%-20%)=$16
Answer:
x > 
Step-by-step explanation:
Given
x - 
> 1
Multiply through by 15 to clear the fractions
10x - 3 > 15 ( add 3 to both sides )
10x > 18 ( divide both sides by 10 )
x > 
, that is
x >
Answer:
10 inches.
Step-by-step explanation:
First we need to find what is the bigger dimension of the box, because the relay baton will occupy the box, and the larger dimension of the relay baton (that is, it's length) need to be less or equal than the larger dimension of the box.
The dimensions of the box are: 4 inches, 6 inches and 10 inches.
The larger dimension of the box is 10 inches. So, If we want the relay baton to fit in the box, the maximum length it can have is 10 inches.
The answer is 60 people. Each person would get <span>4 pins, 6 ornaments and 9 mugs.</span>
