Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
Answer: 31500 to 38500
Step-by-step explanation:
Lets find lower limit of guess
35000 - ( 35000 * 10% )
= 31500
Upper limit of guess
35000 + ( 35000 * 10% )
= 38500
So your guess can be anything between these two values.
Answer:
C = 6.28r
Step-by-step explanation:
If the circumference of a circle is C, then C = 2(3.14)r, where r is the radius.
Then C = 6.28r
Answer:In Heather's solution to the problem, she wrote and solved an equation.
Her work is:
Step 1: 1.08(x +9.01 +0.98 +5.01) = 21.87
Solving like terms
1.08(x+15}=21.87
dividing both side by 1.08
we get
x+15=21.87/1.08
x+15=20.25
subtracting both side by 13.9198
x=20.25-15
x=5.25
According to correction
;
<u>Option 1st</u>
<u>yes,it is correct</u>
Given :
The square of a number, x, is 16 less than eight times the number.
To Find :
The value of x .
Solution :
The mathematical equation with all given data is :
Therefore , the value of x is 4 .
Hence , this is the required solution .
