-7 is the missing exponent
Answer:
Step-by-step explanation:
a + 143 = 180 {Linear pair}
a = 180 - 143
a = 37
37 + 93 + b = 180 {Angle sum property of triangle}
130 + b = 180
b = 180 - 130
b = 40
c + b = 90
c + 40 = 90
c = 90 - 40
c = 50
d + 120 = 180 {Linear pair}
d = 180 - 120
d = 60
? = 60 + 40 {Exterior angle property of triangle}
? = 100
Given Equations :
✿ 2x + y = 20 ------------------ [1]
✿ 6x - 5y = 12 ----------------- [2]
Multiplying Equation [1] with 5, We get :
⇒ 5(2x + y) = 5(20)
⇒ 10x + 5y = 100 -------------- [3]
Adding Equations [2] and [3], We get :
⇒ (10x + 5y) + (6x - 5y) = 100 + 12
⇒ 16x = 112
⇒ x = 7
Substituting x = 7 in Equation [1], We get :
⇒ 2(7) + y = 20
⇒ 14 + y = 20
⇒ y = 20 - 14
⇒ y = 7
So, The Solution for the Given System of Equations is : (x , y) = (7 , 7)
Answer:
a) 40 degrees b) 148 degrees
Step-by-step explanation:
a) Complementary angles are angles that in total measure 90 degrees, or form a right angle. If one angle is 50 degrees, then 90 - 50 = 40, meaning the measure of its complement will be 40 degrees.
b) Supplementary angles are similar but in total measure 180 degrees, or form a straight angle. If one angle measures 32 degrees, then 180 - 32 is equal to 148, meaning the measure of its supplement will be 148 degrees.
$12.80
Explanation:
3=$2.40 3\2.40 =0.80 0.80 • 16 = $12.80
