He reads 1/11 book in 2/5 hour.
A whole book is 11/11 of a book.
Multiply by 11.
He reads 11/11 book in 11 * 2/5 hour.
He reads 1 book in 22/5 hour.
22/5 hour = 4.4 hour = 4 hours and 24 minutes
Answer:
Option A.
Step-by-step explanation:
The given equation is
Step 1: Multiply both sides by (x-4).
Step 2: Multiply both sides by 7.
Step 3: Using distributive property.
Step 4: Isolate all terms on one side.
Step 5: Find factors by splitting the middle term.
Step 6: Using zero product property, we get
It means student solved the equation correctly.
Therefore, the correct option is A.
Answer:
- X = 70°
- arc ZY = 140°
- arc XY = 82°
Step-by-step explanation:
The angle sum theorem helps you compute the angle inside the triangle. The inscribed angle theorem helps you compute the arc measures outside the triangle.
<h3>Theorems</h3>
The Angle Sum theorem tells you the sum of angles in a triangle is 180°. That lets you write the equation ...
X +Y +Z = 180°
X +69° +41° = 180°
The Inscribed Angle theorem tells you an inscribed angle has half the measure of the central angle subtending the same arc. The arc and the central angle have the same measure: twice that of the inscribed angle.
arc ZY = 2×∠X
arc XY = 2×∠Z
<h3>Solutions</h3>
Using the equations we wrote describing the relationships of the unknowns to the known information, we find ...
X = 180° -110° = 70°
arc ZY = 2×70° = 140°
arc XY = 2×41° = 82°
we are given
We will simplify left side and make it equal to right side
Left side:
we can use trigonometric identity
we can replace it
we know that
csc=1/sin and sec=1/cos
so, we can replace it
and we get
now, we know that
tan =sin/cos
we can simplify it
and we get
we can also write it as
Right Side:
we can see that
left side = right side
so,
......Answer
