22.9 is the closest but not exact. It was probably rounded off.
I used the formula: leg^2+leg^2=hypotenuse^2
(You can use that formula for any right triangle.)
Answer:
β = 140 - α
we know that the "missing" angle is 40° since 40 + 140 = 180
we also know that the total sum of angles in a triangle is 180
so β = 180 - 40 - α
or β = 140 - α
Step-by-step explanation:
Answer:
x = 129°
Step-by-step explanation:
∠ ABD and ∠ DBC are a linear pair and sum to 180° , then
y + ∠ DBC = 180°
107° + ∠ DBC = 180° ( subtract 107° from both sides )
∠ DBC = 73°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then
x = ∠ DBC + z = 73° + 56° = 129°
Answer:
3
Step-by-step explanation:
A dog buried 18 bones
On Monday he dug up 1/2 of the bones
On Tuesday he dug up 1/3 of the bones
= 1/2 × 18
= 9
= 1/3×18
= 6
Therefore the remaining bones still buried in the ground can be calculated as follows
= 9+6
= 15
= 18-15
= 3
Hence 3 bones are still buried in the ground
The sequence can be represented by 
, where 
is a whole number(
and is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to and confirm that there is a whole number x which equals the values selected.
When trying 160 with our equation, we find that x doesn't equal a whole number, thus our answer is C, or 160. To confirm our answer, we can test 170 and 210 and confirm that they both give us a value for x which is a whole number.
