Answer:
A
Step-by-step explanation:
Replace the point (0,0) in each inequality
A. y - 4 < 3x - 1
B. y - 1 < 3x - 4
C. y + 4 < 3x - 1
D. y + 4 < 3x + 1
A. 0 - 4 < 3(0) - 1
- 4 < - 1
True
B. 0 - 1 < 3(0) - 4
- 1 < - 4
False
C. y + 4 < 3x - 1
0 + 4 < 3(0) - 1
4 < - 1
False
D. y + 4 < 3x + 1
0 + 4 < 3(0) + 1
4 < 1
False
Answer:
80°
Step-by-step explanation:
Since they are vertical angles, they are congruent to each other.
∠r ≅ 80°
Answer:
17
Step-by-step explanation:
Number of students in soccer club, n(S) = 50
Number of students in Art club, n(A) = 53
Number of students in Gaming club, n(G)
n(
) = 100
n(
) = 9
n(
) = 20
n(
) = 35
n(
) = 29
Formula:
n ( A ∪ B ∪ C ) = n(A) + n(B) + n(C) – n ( A ∩ B ) – n(B ∩ C) – n (A ∩ C) + n( A ∩ B ∩ C )
Putting the values:
100 = 50 + 53 + n(G) - 20 - 35 - 29 + 9
100 = 112 + n(G) - 84
n(G) = 72
Number of students in gaming club only = n(G) - n() - n() + n()
= 72 - 35 - 29 + 9
= <em>17</em>
Answer:
The sum of the angles that do not measure 22 degrees is equal to 316°
Step-by-step explanation:
The question in English is
A rhombus has a 22-degree angle. How much is the sum of its angles that do not measure 22 degrees worth?
we know that
The opposite internal angles of a rhombus are equal and the adjacent internal angles are supplementary
so
Let
x -----> the measure of an adjacent angle to 22 degrees in the rhombus
x+22°=180°
x=180°-22°=158°
therefore
The sum of the angles that do not measure 22 degrees is equal to
158°+158°=316°
