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).
Answer:
The Ratios are Proportional
Step-by-step explanation:
Let,
R1 = 48 / 72 ----- (1)
R2 = 6/9 ------ (2)
If we divide right hand side of above equation by 8, we get,
Therefore, it means that, in simplified form, both ratios are same and hence proportional.
R1 : R2 = 6/9 : 6/9
Simplify the fractions-
girls》12/30》2/5
boys》16/40》2/5
So, the ratio for both are the same.
Answer:
Joel donated 27 dollars to the second charity.
Step-by-step explanation:
27 x 5 = 135
Answer:8x(7+1)=(8x7)+(8x1)
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