Answer:
A = 57°
B = 19°
C = 104°
Step-by-step explanation:
We have a triangle with 3 angles:
A, B, and C.
We know that:
"Angle A is 3 times larger than angle B"
We can write this as:
A = 3*B
"Angle C was 10° less than 6 times angle B"
This can be written as:
C = 6*B - 10°
And we also know that the sum of all interior angles of a triangle is 180°
Then we also have the equation:
A + B + C = 180°
So we have a system of 3 equations:
A = 3*B
C = 6*B - 10°
A + B + C = 180°
To solve this, the first step is to isolate one of the variables in one of the equations.
We can see that A is already isolated in the first one, so we can skip that step.
Now we need to replace A in the other equations, to get:
C = 6*B - 10°
(3*B) + B + C = 180°
Now we have a system of two equations.
Let's do the same procedure, we can see that C is isolated in the top equation, so we can just replace that in the other equation to get:
3*B + B + (6*B - 10°) = 180°
Now we can solve this for angle B
4*B + 6*B - 10° = 180°
10*B - 10° = 180°
10*B = 180° + 10° = 190°
B = 190°/10 = 19°
Now that we know the measure of angle B, we can input this in the equations:
A = 3*B
C = 6*B - 10°
To find the measures of the other two angles:
A = 3*19° = 57°
C = 6*19° - 10° = 104°
Answer:
Through ASA axiom.
Step-by-step explanation:
It should be by ASA axiom.
The ASA Theorem says: If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
Answer:
$44,850
Step-by-step explanation:
Gross income is $65,500
Allowable deductions are $2,500
Operating income is $65,500-$2,500=$63,000
From the given tax structure, Veronia will pay 15% for the first $25,000 then 30% for $63,000-$25,000=$38,000
Tax will be (0.15*$25,000)+(0.3*$38,000)=$15,150
Remaining expenses will be $5,500-$2,500=$3,000
Income after tax will be $63,000-$15,150=$47,850
Net income=$47,850-$3,000=$44,850
<u>Ans=$44,850</u>
Answer:
Step-by-step explanation:
The answer is 1.3
Answer:
Your answer is 8
Step-by-step explanation:
First you have to convert the mixed number into an improper fraction. To do this, multiply the denominator by the whole number. Then add the numerator and put that answer in a fraction over the original. So it would be 3*5=15+1=16/3. So now that the denominators are the same, all you need to do is see how many times 2 goes into 16. 16/2 which is 8. Answer = 8
