Answer:
X=6
Step-by-step explanation:
We need to remember the theorem that Tangent always makes a right angle at the point of contact with the circle.
Given details-
PQ=9= circle radius
QR=12
As given in the question
PQ is the radius
PQ=PY (since both are the radius to the circle)
⇒If the line QR = tangent than ∠ PQR must be 90°
Hence Δ PQR is a right-angled triangle with hypotenuse PR
PQ²+QR²=PR² (Pythagoras theorem)
∴Substituting the value of PQ, QR
⇒We get (9)² +(12)² = PR²
PR²= 225
⇒PR=15
As clear in figure PR= PY+YR
∴15=9+x
⇒ YR(x)= 6cm
Answer:
To answer this question, you need to makes the unit of the smartphone screen same. In this case, phone A is using decimal and phone B is using a fraction. You can use which was easier.
Let's try to use decimal. Then you need to convert phone B fraction width into decimal width. The calculation would be: 5cm + 1/3cm= 5 cm + 0.333cm= 5.333cm
From here it clear that phone B has a wider screen than phone A.
Step-by-step explanation:
The conjugate of any pair is just the same pair with a different sign in the middle.
a + b conjugate a - b
a - b conjugate a + b
-z - w conjugate -z + w
and so on.
The total revenue that is obtained from selling the tickets is the sum of the revenue from selling the child tickets and the adult tickets. If x and y are the number of child and adult ticket, the equation that would represent the given is,
4x + 6y = 420
The equation that would allow us to solve for the number of adult tickets is,
6y = 420 - 4x
Simplifying,
<em>y = 70 - 2x/3</em>