All sides are the same, hence, all three angles are the same, and each one of them is 60 degrees. Due to that:
7x + 4 = 60
7x = 56
x = 56/7 = 8
8y + 12 = 60
8y = 48
y = 48/8 = 6
Answer:
4. x = 16.8
5. x = 35.98
Step-by-step explanation:
For both triangles that you need to work on, use the trigonometric function which is tan and you are dividing opposite by adjacent for the answers.
For number 4, the equation you are setting up is tan 35 = x/24. Multiply 24 on both sides to get the answer which is 16.8 for the x side.
For number 5, the equation you are setting up is tan 17 = 11/x. As a result on your calculator, you should get 35.98 for the x side.
Answer:
m∠ABC = 119° and DC = 105 feet
Step-by-step explanation:
For better understanding of the solution see the attached figure of the trapezium ABCD :
m∠BCD = 61°
By using the property, Sum of interior opposite angles in a trapezium is supplementary ⇒ m∠BCD + m∠ABC = 180°
⇒ m∠ABC = 180° - 61°
⇒ m∠ABC = 119°
Now, to find length of DC,
Draw a perpendicular BE on CD ⇒ CD = DE + EC
AB = DE
⇒ DE = 80 feet
In ΔBEC, By using Pythagoras theorem
EC² = BC² - BE²
⇒ EC² = 65² - 60²
⇒ EC = 25 feet
Hence, DC = 80 + 25
= 105 feet
Answer:
33
Step-by-step explanation:
We cant make greatest odd num by adding these numbers but:
33
Answer:
41 degrees
Step-by-step explanation:
The three angles need to add up to 180 degrees!