Answer:
10
Step-by-step explanation:
Two negatives equal a positive.
Answer:
30 degrees
Step-by-step explanation:
∠BAC= ∠DAE (vert. opp. ∠s)
(x +10)°= (2x -10)°
x +10= 2x -10
<em>Bring</em><em> </em><em>constants</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>,</em><em> </em><em>x</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>other</em><em>:</em>
2x -x= 10 +10
x= 20 <em>(</em><em>simplify</em><em>)</em>
∠BAC= (x +10)°
∠BAC= (20 +10)° <em>(</em><em>substitute</em><em> </em><em>x</em><em>=</em><em>2</em><em>0</em><em>)</em>
∠BAC= 30°
Answer:
y = -2/3x + 5
Step-by-step explanation:
(-3, 7) and (3, 3)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(3 - 7) / (3 -(-3))
Simplify the parentheses.
= (3 - 7) / (3 + 3)
Simplify the fraction.
= (-4) / (6)
= -4/6
= -2/3
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2/3x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 3). Plug in the x and y values into the x and y of the standard equation.
3 = -2/3(3) + b
To find b, multiply the slope and the input of x(3)
3 = -2 + b
Now, add 2 to both sides to isolate b.
5 = b
Plug this into your standard equation.
y = -2/3x + 5
This is your equation.
Check this by plugging in the other point you have not checked yet (-3, 7).
y = -2/3x + 5
7= -2/3(-3) + 5
7 = 2 + 5
7 = 7
Your equation is correct.
Hope this helps!
Answer:
N is (8,5)
Step-by-step explanation:
Find the difference between M, and A, then add it to the M coordinates
The difference between M (x) and A (x) is 3, so you have to add 3 to M's x coordinate to get the N's x coordinate.
Do the same for the y coords and you will get (8,5)
76÷4= ; x=19, you divide 76 by 4 because if he is 1/4 then it would be a group of one of the 4's, thus saying ehen you divide 76 by 4, it equals 19, so he is 19 years old, you could also do 19×4 and 22×4 to see which equals 76.
