Answer:
Step-by-step explanation:
-2(p + 4) = 3 - 3p + 1p.....combine like terms
-2(p + 4) = 3 - 2p...distribute the -2 through the parenthesis
-2p - 8 = 3 - 2p
-2p + 2p = 3 + 8
0 = 11 <==== no solution
if it is a false statement, it has no solutions
if it ends like : 6 = 6 or -2 = -2, then there is infinite solutions
if it ends like : x = 8 or x = -5, then there is 1 solution
7.91 feet tall.
4.52 x 0.75= 3.39
3.39 + 4.52 = 7.91
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°
Explanation:
First, switch sides of an equation.
Then, you subtract by the 80 from both sides of an equation.
And finally, simplify and subtract the numbers.
Hope this helps!
Thank you!
Have a great day!
