Answer:
∠1=135°
∠2=45°
∠3=45°
∠4=135°
∠5=135°
∠6=45°
∠7=45°
∠8=135°
Step-by-step explanation:
→∠1=∠4[Being vertically opposite angles]
→∠4=135°
→∠1=∠5[Corresponding angles]
→∠5=135°
→∠5=∠8[Being vertically opposite angles]
→∠8=135°
→∠1+∠2=180°[Sum of linear pair]
→∠2=180°-135°
→∠2=45°
→∠2=∠3[Being vertically opposite angles]
→∠3=45°
→∠3=∠6[Alternate angles]
→∠6=45°
→∠6=∠7[Being vertically opposite angles]
→∠7=45°
Answer:
b=9
x=5.5
Step-by-step explanation:
find the common ration
AB is 6, and XY is 3 (they are the corresponding sides)
ratio is 2 to 1 (6/3=2/1)
AC corresponds with YZ
XY is 4.5 so b is 4.5*2=9
ZY corresponds with CB
CB is 11, since XYZ is the smaller divide by 2 instead of multiplying by 2
<em><u>Question:</u></em>
In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.
What is the arc length?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
<em><u>Answer:</u></em>
<h3>Arc length is 11.30 feet</h3>
<em><u>Solution:</u></em>
Given that,
Radius of circle = 12.6 feet
Central angle = 
radians
To find: Arc length
<em><u>The arc length of a circle of radius "r" when central angle given in radians is:</u></em>
Where,
s is the arc length
r is the radius
is the central angle in radians
<em><u>Substituting the values we get,</u></em>
Thus, arc length is 11.30 feet
Answer:
a = 4
Step-by-step explanation:
Here, we want to write and solve the given equation
a - 2.5 = 1.5
a = 2.5 + 1.5
a = 4
To check, we simply substitute a = 4
That would be;
4-2.5 = 1.5
This is correct
