Answer:
a=34 °
b=76°
c=70°
d=70°
Step-by-step explanation:
The angles 76° , 34°, and c make up a triangle. A triangle has a sum of 180°.
180° = 76° + 34° +c
c=70°
The parallel lines create 2 congruent triangles so we can use the same angles from the first triangle for the second one.
Answer:
29
Step-by-step explanation:
x+61=90
This is because they are complementary angles.
You can tell by the little square in the corner next to them
x=29
Answer:
Step-by-step explanation:
The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.
Answer:
The two numbers are 8 and 5.
Step-by-step explanation:
Let consider x and y to be these two numbers.
So;
(x) * (y) = 40 ---- (1)
x + y = 13 ----- (2)
From (2), let x = 13 - y
Then;
(13 - y) * y = 40
13y - y² = 40
13y - y² - 40 = 0
-y² + 13y - 40 = 0
Multiply through by (-)
y² - 13y + 40 = 0
By factorization;
(y - 8) (y - 5) = 0
y = 8 or y = 5
CHECK:
8 * 5 = 40
8 + 5 = 13
Therefore, the two numbers are 8 and 5.
