Answer: 122°
Step-by-step explanation:
When an angle is supplementary to each other , it means the angle measures to 180°.
Now since one of the two angles is 58°, therefore, the other angle will be
180° - 58°
= 122°
Answer:
See explanation
Step-by-step explanation:
<u> ASA Postulate (Angle-Side-Angle):</u>
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Consider triangles XYB and ZYA. In these triangles
- ∠X≅∠Z (given)
- XY≅ZY (given)
- ∠Y is common angle
By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so
BX≅AZ
cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)
So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.
Recall that
cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)
so that
sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)
sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)
Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :
sin(<em>θ</em>) = 1 / √((-2)² + 1)
sin(<em>θ</em>) = 1/√(5)
30% of £10 = £3
30% discount = £10 - £3 = £7
Cake costs £7
Answer:
The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.
Step-by-step explanation:
Let each pound of trail mix cost 
dollars and each pound of jelly beans cost 
dollars.
Given:
7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.
So, 
--------------- 1
Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.
So, 
--------------- 2
Multiplying equation 2 by -3, we get
Now, adding equations 1 and 3, we get
Now, plug in 
in equation 1 and solve for .
Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.
