Which of the following segments is an angle bisector?<br><br> 1. AL<br> 2. JB<br> 3. KC

svp [43]

we can divide the composite shape into on quadrilateral and triangle as shown in the diagram. since the line that joins the two shape is parallel to the base AB, the angle DEC is 85°.The angle CEA is 180°- angle DEC = 180-85=95. Angle BCE is sum of angle CEA, ABC and EAB subtracted from360°= 360°-(95+95+85)=85°. Angle DCE is 120°- ECB=35°. So, angle CDE = 180°-(35°+85°)= 60°. For reference see the diagram.

7 0

3 years ago

Each of the line segments in the word MATH are numbered in the graph below. Find the slope (as a ratio of rise over run) of each

emmasim [6.3K]

Answer/Step-by-step explanation:

7. Line 1 = undefined.

Slope of a vertical line is always undefined. The run is zero as x-coordinate remains the same.

8. Line 2 = $\frac{4}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 4}{-5 -(-8)}$

$slope = \frac{8 - 4}{-5 + 8}$

$slope = \frac{4}{3}$

9. Line 3 = $\frac{4}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 4}{-2 -(-5)}$

$slope = \frac{8 - 4}{-2 + 5}$

$slope = \frac{4}{3}$

10. Line 4 = undefined (slope of a vertical line is always undefined)

11. Line 5 = $\frac{7}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 1}{5 - 2}$

$slope = \frac{7}{3}$

12. Line 6 = $-\frac{7}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 1}{5 - 8}$

$slope = \frac{7}{-3}$

$slope = -\frac{7}{3}$

13. Line 7 = 0

An horizontal line has no rise.

14. Line 8 = 0 (slope of horizontal line is always zero)

15. Line 9 = undefined (slope of a vertical line is always undefined)

16. Line 10 = undefined (slope of a vertical line is always undefined)

17. Line 11 = 0 (slope of horizontal line is always zero)

18. Line 12 = undefined (slope of a vertical line is always undefined)

5 0

3 years ago

State the name of the property illustrated below.

ivanzaharov [21]

Answer:

Step-by-step explanation:

This is the associative property for addition. In informal language, it says under addition, the order of the addition is not critical.

8 0

2 years ago

Maya is cleaning out her closet and is shocked when she realizes that she has 55 shirts. She decides to donate 40% of them.

ipn [44]

Maya is cleaning out her closet and is shocked when she realizes that she has 55 shirts. She decides to donate 40% of them. How many more shirts does she have for her ?

Answer:

The number of T-shirt that Maya will have after donating 40% is 22 shirts

Explanation:

Given:( as per the above data provided)

Total number of T-shirts = 55

Percentage of T-shirts she wish to donate = 40%

To find:

Remaining number of T-shirt left after donating?

Formula to be used:

Remaining T shirt = (Total number of T-shirt /100) X The Percentage of T-shirt she wish to donate

Steps:

Substituting all the above provided values in the formula we get,

= (55/100)*40

= 22 shirts.

Thus the number of T-shirts left with her is 22.

3 0

3 years ago

Need help.....................................

adoni [48]

Answer: w, 0

Step-by-step explanation:

you can see that G has the same distance from 0 as E does, so you can just take away the - sign. It hasn't left the line so its still 0.

8 0

3 years ago

Which of the following segments is an angle bisector? 1. AL 2. JB 3. KC