Please review the image for the question

An angle bisector of a triangle divides the opposite side of the triangle into segments 5 cm and 3 cm long. A second side of the

attashe74 [19]

There is a little-known theorem to solve this problem.

The theorem says that
In a triangle, the angle bisector cuts the opposite side into two segments in the ratio of the respective sides lengths.

See the attached triangles for cases 1 and 2. Let x be the length of the third side.

Case 1:
Segment 5cm is adjacent to the 7.6cm side, then
x/7.6=3/5 => x=7.6*3/5=4.56 cm

Case 2:
Segment 3cm is adjacent to the 7.6 cm side, then
x/7.6=5/3 => x=7.6*5/3=12.67 cm

The theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.

6 0

3 years ago

Melissa collected data from a group of people regarding whether or not they prefer turkey or ham and whether or not they prefer

dedylja [7]

Answer:

I’m pretty sure it’s B)- Z

Step-by-step explanation:

18. The correct table must display the following information.

38% prefer turkey with mayonnaise 20% prefer turkey with mustard 24% prefer ham with mayonnaise 18% prefer ham with mustard

In tables Z and W, each table totals 50 people.

To find the relative frequencies of the data in these tables, divide each number in the table by 50.

In tables X and Y, each table totals 100 people.

To find the relative frequencies of the data in these tables, divide each number in the table by 100.

The only table which is a possible representation of the data collected is table Z.

Likes Baseball

Does Not Like Baseball

Total

Likes Football Does Not Total Like Football

0.50 0.64 0.54

0.50 0.36 0.46 1.00 1.00 1.00

Mayonnaise Mustard

Total

Turkey

19 ÷ 50 = 0.38

10 ÷ 50 = 0.20

29 ÷ 50 = 0.58

Ham

12 ÷ 50 = 0.24

9 ÷ 50 = 0.18

21 ÷ 50 = 0.42

Total

31 ÷ 50 = 0.62

19 ÷ 50 = 0.38

50 ÷ 50 =1.00

3 0

3 years ago

Evaluate the expression

Oksanka [162]

answer: I think the result is 12

Step-by-step explanation:

c(b+a)-a=

2(3+6)-6=

6+12-6= 12

6 0

2 years ago

Lydia graphed ΔDEF at the coordinates D (−2, −1), E (−2, 2), and F (0, 0). She thinks ΔDEF is a right triangle. Is Lydia's asser

alukav5142 [94]

Answer:

No; the slopes of segment EF and segment DF are not opposite reciprocals.

Step-by-step explanation:

The slope between two points O(e, f) and X (g,h) is given as:

$slope\ of\ |OX|=\frac{h-f}{g-e}$

The slopes of segment EF and segment DF are given below:

$slope\ of\ |EF|=\frac{0-2}{0-(-2)}=-1\\\\slope\ of\ |DF|=\frac{0-(-2)}{0-(-1)}=2\\$

For triangle DEF to be a right triangle, DF and EF are supposed to be perpendicular to each other. Two line are said to be perpendicular if the product of their slope is -1, i.e the slope of one line is the negative reciprocal (opposite reciprocal) of the other line.

Since the slope of DF and EF are not opposite reciprocals, ΔDEF is not a right triangle.

3 0

3 years ago

Need help fast!!! 15 points!!

garri49 [273]

Answer:

y=-1/3x+1/2

the slope is -1/3 and the y intercept is where the line crosses the y axis, which in this case, is 1/2

8 0

3 years ago