576+52=
628
So, the restaurant sold 628 meals in all.
Answer:
x = 34
∠S = 38
∠T = 111
Step-by-step explanation:
Angles in a triangle add up to equal 180
If ΔRST is a triangle and ∠R, ∠S and ∠T are angles in that triangle
Then ∠R + ∠S + ∠T = 180
That being said we want to create an equation to solve for x
If angles in a triangle have a SUM of 180
Then, 31 + x + 4 + 3x + 9 = 180
We now solve for x
Step 1 combine like terms
31 + 4 + 9 = 44
x + 3x = 4x
we now have 44 + 4x = 180
step 2 subtract 44 from each side
44 - 44 cancels out
180 - 44 = 136
We now have 136 = 4x
Step 3 divide each side by 4
4x / 4 = x
136 / 4 = 34
We're left with x = 34
Now we want to find the measures of ∠S and ∠T
To do so, we substitute 34 for x in their given expression
∠S = x + 4
* substitute 34 for x *
∠S = 34 + 4
34 + 4 = 38
Thus ∠S = 38°
∠T = 3x + 9
* substitute 34 for x *
∠T = 3 ( 34 ) + 9
34 * 9 - 102
102 + 9 = 111
Thus, ∠T = 111°
Answer:Answer: point (3,-4) is 3 units to the right of the origin and 4 down
Step-by-step explanation: easiest to graph
Answer:
(x - 4)^2 + (y - 1)^2 = 2^2 = 4
Step-by-step explanation:
The applicable equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2. Here, h = 4; k = 1; and r = 2.
So the desired equation is (x - 4)^2 + (y - 1)^2 = 2^2
