Perimeter of a rectangle = 2 (length + breadth)
or, 56 = 2(2.5 breadth + breadth)
or, 56 = 7*breadth
breadth = 56*7 = 8 cm
length = 2.5*8 = 20 cm
Answer:
The cost has been reduced by approximately 33%.
Step-by-step explanation:
1% of 120 is 1.2.
80 divided by 1.2 is 66.66666666...
Meaning that $80 is about 66% of the original cost. Therefore, about 33% of the cost was removed.
Hope this helps
Answer:
<em>x</em><em> </em><em>=</em><em> </em><em>-</em><em>2</em><em>/</em><em>3</em>
Step-by-step explanation:
<em>5</em><em> </em><em>*</em><em> </em><em>2</em><em> </em><em>+</em><em> </em><em>1</em><em>5</em><em>x</em><em> </em><em>=</em><em> </em><em>0</em><em> </em>
<em>t</em><em>h</em><em>e</em><em> </em><em>s</em><em>o</em><em>l</em><em>u</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>i</em><em>s</em><em> </em><em>:</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>-</em><em>2</em><em>/</em><em>3</em>
The value of x is 4 and the value of ∠ABC is 68°.
To solve this problem we first have to understand the concept of an angle bisector. Angle bisector is a straight line passes through the vertex of an angle dividing the angle in two equal angles.
According to the condition BD bisects ∠ABC
Therefore the two angles formed by the angle bisector are ∠ABD and ∠CBD.
The angle value of these two angles are equal.
Given:
m∠ABD=11x-10
m∠CBD=8x+2
Therefore from the above condition:
m∠ABD=m∠CBD
Substituting the values we get:
11x-10=8x+2
Solving the linear equation to find the value of x.

Now let us find the value of ∠ABC
m∠ABC=m∠ABD+m∠CBD
or,∠ABC=11x-10+8x+2
or,∠ABC=19x-8
Substituting the value x=4 in the equation we get:
m∠ABC=19×4-8
or,m∠ABC=68°
Therefore we can conclude that the value of xis 4 and the value of ∠ABC is 68°.
To learn more about angle bisectors:
brainly.com/question/12896755
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