Rational numbers.
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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:
The width of the area model is equal to
Step-by-step explanation:
<u><em>The complete question is</em></u>
Todor was trying to factor 10x^2-5x+15 he found the greatest common factor of these terms was 5 what is the width
we know that
The area of a rectangular model is given by the formula
----> equation A
where
L is the length
W is the width
we have
Factor the expression
substitute the value of the Area in the equation A
In this problem
The greatest common factor of these terms is the length (L=5 units)
so
we can say that the width is equal to (2x^2-x+3)
therefore
The width of the area model is equal to
We know that
x-------------> length rectangle launch tray
w------------< width rectangle launch tray------> 15 cm
<span>length is at least 20% greater than it's width
</span>x>=1.2w---------> x>=1.2*15
the answer part a) is
x>=18 ---------------> (<span> inequality to represent this situation)
part b) </span><span>suppose X is a whole number find the least possible permitted and the least possible area of the lunch tray
</span><span>
the least possible permitted length is 18 cm
</span>the least possible area of the lunch tray is 18*15=270 cm²
Answer:
11/24 - 6/24 = 5/24
Step-by-step explanation:
Common denominator is 24
24 * 1 = 24 11 * 1 = 24 11/24
4 * 6 = 24 1 * 6 = 24 6/24
New fractions are 11/24 and 6/24
Subtract them
11/24 - 6/24 = 5/24
