Answer:
(7) (3) and (9)
Step-by-step explanation:
Answer:
The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.
So we have:
32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)
32 + 2x = 180 (combine the 2 x's together)
2x = 148 (subtract a 32 from both sides)
x = 74
Let me know if this helps!
Answer:
A : -30(3+2w)
B : (-9-6w) ⋅ 10
E : −20(4.5 + 3w)
Step-by-step explanation:
Using distributive property:
A : -30(3+2w) = -90 - 60w : equivalent to -90 - 60w
B : (-9-6w) ⋅ 10 = -90 - 60w : equivalent to -90 - 60w
C : -3(30 - 20w) = -90 + 60w : NOT equivalent to -90 - 60w
D : (6 + 4w)×15 = 90 + 60w : NOT equivalent to -90 - 60w
E : −20(4.5 + 3w) = - 90 - 60w : equivalent to -90 - 60w
Answer:
A : -30(3+2w)
B : (-9-6w) ⋅ 10
E : −20(4.5 + 3w)
Answer:
At x= 20.10723974, both f(x)=g(x)
Step-by-step explanation:
f(x) = 300(1-0.04)^x = 300(0.96)^x
g(x) = 60(1+0.04)^x = 60(1.04)^x
now equate both of them and calculate x
300(0.96)^x = 60(1.04)^x
5(0.96)^x = (1.04)^x
ln(5) + x ln(0.96) = x ln(1.04)
x={ln(5)}/{ln(1.04)-ln(0.96)}
x= 20.10723974
Answer:
a) Probability of picking Two MAGA buttons without replacement = 0.15
b) Probability of picking a MAGA and GND button in that order = 0.0833
Probability of picking a MAGA and GND button in with the order unimportant = 0.167
Step-by-step explanation:
10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL] buttons.
Total number of buttons = 10 + 5 + 10 = 25
Let probability of picking a MAGA button be P(M) = 10/25 = 0.4
Probability of picking a GND button be P(G) = 5/25 = 0.2
Probability of picking a NAW button be P(N) = 10/25 = 0.4
a) Probability of picking Two MAGA buttons without replacement = (10/25) × (9/24) = 3/20 = 0.15
b) Probability of picking a MAGA and GND button in that order = (10/25) × (5/24) = 1/12 = 0.0833
Probability of picking a MAGA and GND button in with the order unimportant = [(10/25) × (5/24)] + [(5/25) × (10/24)] = 1/6 = 0.167
