Answer:
No Options
∠QOB=45º
Step-by-step explanation:
we have that: point O=Incenter, sides S, Q, R they form right angles with the point O, angle OBC = 15º and angle OCR=30º, find angle QOB
we know that the sum of all the internal angles of a triangle is 180º, so
α =180-30-15-90=45º and β = 180-90-α → β = 180-90-45 =45º,
Finally β=∠QOB=45º
Answer:
C
Step-by-step explanation:
y-9=6 y-9=-6
+9 +9 +9 +9
y=15 y=3
Since all the angles are congruent, the sides must be congruent too.
So, just have one equation on one side equal to another.
5x= 3x+6
Subtract 3x from both sides.
2x=6
Divide 2 into both sides.
x=3.
We can check this by seeing if all the sides are the same.
5(3)= 15
6(3)-5= 15
3(3)+6= 15
I hope this helps!
~cupcake
Answer:
4/5
Step-by-step explanation:
The cosine of the angle is found as the ratio of adjacent to the hypotenuse.
To find it first find the sin 45 = √8/ x. This is equal to 4.
sin 45 = √8/ x
x = √8/ sin 45
x = 4
This means the triangle FHE has side lengths 3, 4, and 5.
The cosine of FHE will be FH / HE. This is 4/5.
He can buy a total of 5 caramel apples
1.75*5=8.75
He has 1.25 left.
Hope this helps
