Answer:
z = 110°
Step-by-step explanation:
Angles z and the one marked 70° form an linear pair, hence are supplementary.
z = 180° -70° = 110°
<h3>Angles where chords cross</h3>
The angle made by two chords is half the sum of the arcs intercepted by those chords. Here, that means ...
70° = 1/2(60° +x) ⇒ x = 140° -60° = 80°
The arc w completes the circle of 360°, so we have ...
w +x +79° +60° = 360° ⇒ w = 360° -219° = 141°
Finally, z is the average of w and 79°:
z = (w +79°)/2 = (141° +79°)/2 = 110° . . . as above
Answer:
This is an inverse variation, and the constant of variation is k = 2.
Step-by-step explanation:
Direct variation is something like:
y = k*x
Where k is the constant of variation.
So as x increases also increases y.
Inverse variation is something like:
y = k/x
k is the constant of variation.
In this case, if x increases, y decreases.
Now let's look at the equation:
-10 + 15*x*y = 20
Let's isolate y in one side of the equation:
15*x*y = 20 + 10 = 30
15*x*y = 30
y = 30/(15*x) = (30/15)/x = 2/x
y = 2/x
Then we can conclude that this is an inverse variation, with a constant of variation equal to 2.
Answer:
50 pages
Step-by-step explanation:
3 hours divided by 30 mins is 5
5 × 10 = 50
-4(x-1)=-3x+13-9-x
-4x+4=-3x+4-x
-4x+4=-4x+4
-4x=-4x
0=0
Answer:
z ≥ 2
Step-by-step explanation:
Step 1: Write inequality
-7z - (-5z - 4) ≤ -3z - 2 + 4z
Step 2: Solve for <em>z</em>
- Distribute negative: -7z + 5z + 4 ≤ -3z - 2 + 4z
- Combine like terms: -2z + 4 ≤ z - 2
- Add 2z to both sides: 4 ≤ 3z - 2
- Add 2 to both sides: 6 ≤ 3z
- Divide both sides by 3: 2 ≤ z
- Rewrite: z ≥ 2
