Answer:
1.83333333333
Step-by-step explanation:
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Answer:
Q1) D
Q2) C
Step-by-step explanation:
Q1)
y ∝ x
y = kx
Let x=-1,y=2
2 = k(-1)
k = -2
Q2)
directly (y=kx)
Let x=2,y=4
4 = k(2)
k = 2
y = 2x
inverse (y = k/x)
Let x=2,y = 4
4 = k/2
k = 8
xy = 8
Answer:
![m\angle B=65\°](https://tex.z-dn.net/?f=m%5Cangle%20B%3D65%5C%C2%B0)
![m\angle C=140\°](https://tex.z-dn.net/?f=m%5Cangle%20C%3D140%5C%C2%B0)
Step-by-step explanation:
From the figure ABCD given:
![BC=CD](https://tex.z-dn.net/?f=BC%3DCD)
![AB=AD](https://tex.z-dn.net/?f=AB%3DAD)
![m\angle A=90\°](https://tex.z-dn.net/?f=m%5Cangle%20A%3D90%5C%C2%B0)
![m\angle D=65\°](https://tex.z-dn.net/?f=m%5Cangle%20D%3D65%5C%C2%B0)
The given figure ABCD is a kite as it fulfills the properties of a kite.
The properties of kite are:
1) It is 4 sided
2) It has 2 pairs of equal sides adjacent to each other.
3) The angles formed between the 2 pairs of sides is equal.
By the 3rd property of kite stated above:
![m\angle B=m\angle D](https://tex.z-dn.net/?f=m%5Cangle%20B%3Dm%5Cangle%20D)
Given ![m\angle D=65\°](https://tex.z-dn.net/?f=m%5Cangle%20D%3D65%5C%C2%B0)
∴ ![m\angle B=65\°](https://tex.z-dn.net/?f=m%5Cangle%20B%3D65%5C%C2%B0)
Sum of interior angle of a quadrilateral = 360°
So, we have ![m\angle A+m\angle B+m\angle C+m\angle D=360\°](https://tex.z-dn.net/?f=m%5Cangle%20A%2Bm%5Cangle%20B%2Bm%5Cangle%20C%2Bm%5Cangle%20D%3D360%5C%C2%B0)
Plugging in values of the angles known.
![90\°+65\°+m\angle C+65\°=360\°](https://tex.z-dn.net/?f=90%5C%C2%B0%2B65%5C%C2%B0%2Bm%5Cangle%20C%2B65%5C%C2%B0%3D360%5C%C2%B0)
![m\angle C+220\°=360\°](https://tex.z-dn.net/?f=m%5Cangle%20C%2B220%5C%C2%B0%3D360%5C%C2%B0)
Using subtraction property of equality, we have
![m\angle C=360\°-220\°](https://tex.z-dn.net/?f=m%5Cangle%20C%3D360%5C%C2%B0-220%5C%C2%B0)
∴ ![m\angle C=140\°](https://tex.z-dn.net/?f=m%5Cangle%20C%3D140%5C%C2%B0)
He had a profit of $2. Made a $1 each time he sold it.
Answer:
Each person will receive 3/20 portion of the whole pizza! Now 3 quarter of a pizza=3/4th of a pizza. That is 3/4 of full= 3/4×100=75 percent of the pizza is being shared by 5 people. Now share of 5 persons=75/100, hence share of each person=75/100÷5=15/100 or 3/20th equal portion of the whole pizza.
Step-by-step explanation: