The value of y is 18.46 when x=10 and z = 26
Step-by-step explanation:
The direct proportion is denoted as:
y∝x
And the inverse proportion will be denoted as:
y∝1/z
combining both
y∝ x/z
When the symbol of proportionality is removed, the proportionality constant is introduced
Given
y = 32 when x=4 and z = 6
Putting the values
So the equation will become:
Putting x=10 and z= 26
Hence,
The value of y is 18.46 when x=10 and z = 26
Keywords: Proportion, variation
Learn more about proportion at:
#LearnwithBrainly
Answer:
The answer is given below
Step-by-step explanation:
From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.
The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠BYZ and ∠DZY are interior angles.
∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)
∠BYZ/2 + ∠DZY/2 = 180/2
∠BYZ/2 + ∠DZY/2 = 90°
In ΔOYZ:
∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).
But ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180
90 + ∠YOZ = 180
∠YOZ = 180 - 90
∠YOZ = 90°
Therefore Angle bisectors of the same side interior angles are perpendicular.
Answer:
A.) k=0.5
Step-by-step explanation:
If we use the formula given: y=kx, we can plug in values.
0.5=k(1)
0.5=(0.5)(1)
0.5=0.5
We know that to get from 1 to 0.5, we need to divide by two, or multiple by 1/2. 1/2 in decimal form is 0.5
Answer:
the answer is written in the picture.
