Answer:
x=9
Step-by-step explanation:
The sum of all three angles inside a triangle is always 180 and the small square in the bottom left corner means that that is a 90 degree angle.
90+5x+5x=180
add the x values together
90+10x=180
subtract 90 from both sides
10x=90
divide both sides by 10
x=9
Answer:
x=10
A = 84
Step-by-step explanation:
A and B are supplementary angles so they add to 180 degrees
A + B =180
2x+76 + 5x+34 = 180
Combine like terms
7x+ 110 = 180
7x+110-110 = 180-110
7x = 70
Divide by 7
x = 10
Now find A
A = 5x+34
A = 5*10 +34
= 50+34
A = 84
9514 1404 393
Answer:
3x -4y = -9
Step-by-step explanation:
Multiply by 4 to clear the fraction.
4(y -6) = 3(x -5)
Subtract the left-side term to get variables on the same side, with a positive x-coefficient.
0 = 3(x -5) -4(y -6)
Eliminate parentheses and collect terms.
0 = 3x -15 -4y +24
0 = 3x -4y +9
Subtract 9 and swap sides to get standard form.
3x -4y = -9
_____
Standard form is ...
ax +by = c
where a ≥ 0, and a, b, c are mutually prime integers. If a=0, then b > 0.
__
The attached graph shows the equations give the same line. The original line is shown dotted so that you can see they overlap.
Answer:
7
Step-by-step explanation:
Given the information from the question:

Next we can use the order of operations to find the value of the expression.

Answer:
k = 0.25
Step-by-step explanation:
The standard equation of a proportional relationship is
y = kx ← k is the constant of proportion
y = 0.25x ← is in this form
with k = 0.25