Solution:
<u>It should be noted:</u>
- Opposite sides of a rhombus are always equal.
- Opposite angles of a rhombus are always equal.
<u>Thus:</u>
- (-y - 10) = 90°
- 3z - 3 = 90°
- 4x - 2 = 90°
<u>Finding x:</u>
- 4x - 2 = 90°
- => 4x = 90 + 2
- => 4x = 92
- => x = 23
<u>Finding y:</u>
- (-y - 10) = 90°
- => -y - 10 = 90°
- => -y = 100
- => y = -100
<u>Finding z:</u>
- 3z - 3 = 90°
- => 3z = 90 + 3
- => 3z = 93
- => z = 31
Answer:
• changing an interior angle to a reflex angle
Step-by-step explanation:
In order for the outline of the polygon to have a pair of sides that is concave (pointed inward, rather than outward), the corresponding interior angle must be a reflex angle. (It must measure more than 180°.) Draw one; you'll see.
First, determine the area of the whole circle by the equation, A = πr². Substituting,
A = π(6²) = 36π
Then, multiply this value with the ratio of the given angle to the whole revolution,
A(sector) = 36π x (120° / 360°)
The area of the sector is therefore 12π units².
Answer:
if their asking for % then this is the answers
1. 41% of 900 is 369
2. 24%
3. 46%
4. 23%
5. 95%
6. 23%
7. 75%
8. 22%
9. 92%
10. 45%
In an isosceles triangle, two sides are equal to each other. So, we know that the third side is either 6 or 15 inches.
If the third side is 6 inches, it would not make a triangle. The sum of any to sides of a triangle must be larger than the third side. However, 6+6 is LESS than 15, so 6 inches would not be the answer.
By process of elimination, the third side is 15 inches. Good luck!
