Answer:
A
Step-by-step explanation:
it's a geometric sequence since it is continuously being multiplied by the same number which in this case is 2.
Answer:
subtract the number you have from the number you're going to. For example, if you were trying to figure out the distance between 6 and 18, you would subtract 6 from 18 which is 12. I hope this answers your question!
Step-by-step explanation:
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°
<h3> </h3><h2> F-{1} (x)= x/6 + 5/6</h2>
Answer:
m = 7.5
Step-by-step explanation:
4m/5 - 2m/3 =1
We want to get rid of the fractions so multiply each side by 5*3 or 15
15 *(4m/5 - 2m/3 ) =1*15
15 *(4m/5) -15( 2m/3 ) =1*15
Canceling like factors
3* 4m -5*2m = 15
Multiply
12m - 10m = 15
2m = 15
Divide each side by 2
2m/2 = 15/2
m = 7.5
