Answer:
8
Step-by-step explanation:
Step 1: Add 19 to both side
b-19+19=-11+19
b=8
Hope I helped:D
The length of the copy is 16.8 cm ,The length of the original is 25 cm.
<h3>
What is Percentage ?</h3>
Percentage is a number or ratio that represents a fraction of 100
It is given that
A photocopier makes copies that are 40% larger than the original.
An original is 12cm long. Find the length of the copy.
The copy will be
140 % of 12 cm
140 * 12/100
16.8 cm
Therefore , the length of the copy is 16.8 cm.
A copy is 35cm long. Find the length of the original.
The original will be x
140 * x / 100 = 35
x = 35 * 100 / 140 = 25cm
The length of the original is 25 cm.
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Answer:
2.1
Step-by-step explanation:
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:
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