The correct answer is: Option (B) m∠a = 38°, m∠b = 52°, m∠c = 90°
Explanation:
Given measure of each angle:
m∠a = (48-x)°
m∠b = (9x-38)°
m∠c = 90°
Now, as you can see, that one angle, m∠C, of the triangle ABC is 90°; therefore, we can infer that it is a right-angled triangle.
For right-angled triangle, the sum of all the angles is 180°. We can write it mathematically as:
m∠a + m∠b + m∠c = 180° --- (1)
Plug in all the measure of angles in equation (1):
(1)=> (48-x)° + (9x-38)° + 90° = 180°
Solve to find the value of x:
8x + 100° = 180°
8x = 80°
x = 10°
Now put the value of x in all individual angles to find m∠a, m∠b, and m∠c.
m∠a = (48-10)° = 38°
m∠b = (9*10-38)° = 52°
m∠c = 90°
Hence the correct answer is Option (B).
Go to Calvin. Edu hope this helps.
Okay, so on this type of question, the exterior angle equals the two interior angles added up, so you take 4x+7+6x-9=118 and then solve!
x=12 :)
Step 1. Simplify 1/3x to x/3
-x/3 > 5
Step 2. Multiply both sides by 3
-x > 5 * 3
Step 3. Simplify 5 * 3 to 15
-x > 15
Step 4. Multiply both sides by -1
x < -15
Your answer is A.
An nth term in arithmetic sequence can be calculated using the following equation:
a(n) = a(1) + (n-1)d
Where a(n) = nth term, a(1) = first term, n= position of a(n), and d= common difference.
In the current task, a(1) = 1.6, n=100, d= 2.3-1.6=3.3-2.3 = 0.7
Therefore
a(100) = 1.6+(100-1)*0.7 = 70.9
