Answer: (just the first question)
x=3
y=17
Step-by-step explanation:
3x+8=-5x+32
add 5x and subtract 8 from both sides
8x=24
divided by 8
x=3
substitute+simplify
y=3x+8
y=9+8
y=17
y=-5x+32
y=-15+32
y=17
Answer:
1,6
-5,9
2,3
Step-by-step explanation:
Answer
By using the exterior angle property
The measure of exterior angle is equal to the sum of two opposite interior angles.
In ∠QSR is exterior angle.
∠SPQ and ∠SQP are the opposite interior angle of the exterior angle ∠QSR .
Thus
∠QSR = ∠SPQ + ∠SQP
As given in the diagram
∠QSR = 2x , ∠SQP = x
Put in the above
2x = x + ∠SQP
∠SQP = 2x - x
∠SQP = x
Thus
∠SPQ = ∠SQP = x
By using the property
if two angles are equal in a triangle than their opposite sides are also equal .
Thus
PS = SQ
Two sides of triangle are equal .
therefore Δ PQS is a isosceles triangle .
Since we need an angle measure we have to use an inverse trig ratio, sin^-1, cos^-1, or tan^-1.
Setting up the right triangle we have the opposite and adjacent so we use tan.
tan angle = 28/32
tan^-1 (28/32) = 41 degrees
Answer:
Either (3,b) or (3,e) must be removed to form the above relation to be function.
Step-by-step explanation:
Given the relation between the elements of domain and range. we have to remove the link between two elements so that relation becomes a function.
A function is a relation in which each element in domain set maps into only one element of range set i.e one element can never have two images in range set.
Here, the element 3 in domain set maps into two element b and e in range set. Therefore, to form a function one link must be removed either
f(3)=b or f(3)=e
Hence, either (3,b) or (3,e) must be removed to form the above relation to be function.
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