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.

$or,11x-10=8x+2\\or,11x-8x=2+10\\or,3x=12\\or,x=4$

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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7 0

1 year ago

The bar graph shows the numbers of reserved campsites at a campground for one week. What percent of the reservations were for Fr

Phoenix [80]

Based on the question, it needs a diagram. However, if there'll be an attachment, that will make this question answerable. If you have the bar graph, look at the bar that falls under Friday and Saturday. Add all the reserved campsites in a week.

To get Friday's percentage, use this formula: Friday / Total * 100.
<span>To get Saturday's percentage, use this formula: Saturday / Total * 100.</span>

4 0

3 years ago

Read 2 more answers

This is the question

Sonja [21]

Answer:

The first option: As the x-values go to positive infinity, the function's values go to negative infinity.

Step-by-step explanation:

Let's focus on the right part of the graph. Notice that at x = 1, the line is on the negative y-axis. The same thing happens to when we locate x = 2, it still continues to go down approaching negative infinity.

5 0

2 years ago