Choose yes or no to tell whether there is more than one way to draw a triangle with the given measures

AB= 15 cm, BC=20 cm, angle B=40 degrees

AB=20 cm, AC=15 cm, angle c=40 degrees

BC=10 cm, AB=5 cm, angle A=20 degrees

AC=5 cm, BC=10 cm, AB=14 cm

Question:

1)  AB = 15 cm, BC = 20 cm, angle B = 40°

2) AB = 20 cm, AC = 15 cm, angle c = 40°

3) BC = 10 cm, AB = 5 cm, angle A = 20°

4) 5 cm, BC = 10 cm, AB = 14 cm

1) No: SAS

2) Yes: SSA

3) Yes: SSA

4) No: SSS

Step-by-step explanation:

To answer the question, we note that a well defined triangle or unique provides information for;

a. SSS All three sides

b. Side Angle Side, SAS Two sides and the included angle(the angle between the two sides), such that there is only one way to draw the triangle

c. Angle Side Angle, ASA and

d. Angle Angle Side, AAS

We analyse each option as follows

1) AB = 15 cm, BC = 20 cm, angle B = 40°

No:

The provided information includes two sides and the angle between the two sides, therefore there is only one way to draw the triangle

2) AB = 20 cm, AC = 15 cm, angle c = 40°

Yes

Here the provided information are SSA hence there are more than one way to draw the triangle

3) BC = 10 cm, AB = 5 cm, angle A = 20°

Yes

Here the provided information are Angle Side Side hence there are more than one way to draw the triangle

4) 5 cm, BC = 10 cm, AB = 14 cm

No

Here the provided information is SSS hence, there is only one way to draw the triangle

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: