Smallest angle is 
°
<u>Step-by-step explanation:</u>
Here we have , Quadrilateral WXYZ has interior angles that meet the following criteria:
Angles W and X are congruent.
According to question , angles are congruent i.e. Both angle measure same
⇒ 
Now ,
• The smallest angle's measure is 100° less than twice the measure of W.
According to above statement we have ,
Smallest angle = 
• The largest angle's measure is 10º more than twice the measure of X. ( correction , in question given as 2X )
According to above statement we have ,
Largest angle = 
Now , We know that sum of all 4 angles in 360 i.e.
⇒ 
{ X=W }
⇒ 
⇒ 
⇒ 
Smallest angle is : 
Therefore , Smallest angle is ° .
Answer:
6:11
Step-by-step explanation:
There are 12 grapes and 12 + 5 + 2 + 3 = 22 total fruits, so the ratio is 12:22 which simplifies to 6:11.
This question doesn't make sense since the LCM of 10 and 6 is 30.
Hope i helped!!! :)
Answer:
547 m
Step-by-step explanation:
Given :
Angle of depression, θ = 63°43' ; 43/60 = 0.7167 = 63 + 0.7167 = 63.7167°
The height, h = 270
The distance of park bench from the building, d is given by :
Tan θ = opposite / Adjacent
Tan 63.7167 = d / 270
d = 270 * Tan 63.7167
d = 546.70459
d, distance of Park bench from building is 547 m
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.
