The measure of angle E is 75°.
Solution:
Given data:
∠E = 5x, ∠F = 7x – 13 and ∠R = –2 + 6x
A quadrilateral inscribed in a circle is called cyclic quadrilateral.
∠R and ∠G are opposite angles in a cyclic quadrilateral.
<em>In cyclic quadrilateral, opposite angles are supplementary.
</em>
⇒ m∠R + m∠F = 180
⇒ –2 + 6x + 7x – 13 = 180
⇒ 13x – 15 = 180
Add 15 from both sides of the equation, we get
⇒ 13x = 195
Divide by 13 from both sides of the equation, we get
⇒ x = 15
<u>To find the measure of angle E:</u>
m∠E = 5x
m∠E = 5(15)
m∠E = 75
The measure of angle E is 75°.
Answer:
132 students
Step-by-step explanation:
Mr Smith offers to take extra help session for students after school
The day after the help session 11 of his students were talking and found out that only 2 had stayed up for the help session
= 2/11
There were actually a total number of 24 students that stayed
We are asked to find the number of student that Mr Smith teaches throughout the day
Let x represent the number of students that were taught during the day
Therefore, the number of student that Mr Smith teaches during the day can be calculated as follows
2/11=24/x
Cross multiply both sides
2 × x = 24 × 11
2x= 264
Divide both sides by 2
2x/2=264/2
x= 132
Hence Mr Smith teaches 132 students during the day.
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The value of x is 45 degrees my friend
Answer:
Assuming it is a square with side length 3.2 then the area is:
10.24 units squared
Step-by-step explanation:
Assuming the figure s a square with sides 3.2 by 3.2 then the area is found by multiplying the sides.
3.2 * 3.2 = 10.24 units squared