Answer:
x = 2
Step-by-step explanation:
OK so lets do it together.
2x = -2x + 8
Subtract 8 from both sides
2x - 8 = -2x
Add 2x to both sides
4x - 8 = 0
Add 8 to both sides
4x = 8
Divide each side by 4
x = 2
Check:
4 = -4 + 8
4 = 4
correct
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Answer:
m∠S=30°
m∠T=60°
m∠P=90°
Step-by-step explanation:
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
In the triangle STP
m∠S+m∠T+m∠P=180° ----> equation A
m∠T=2(m∠S) ----> equation B
m∠P=3(m∠S) ----> equation C
Solve the system of equations by substitution
Substitute equation B and equation C in equation A
m∠S+2(m∠S)+3(m∠S)=180°
Solve for m∠S
6m∠S=180°
m∠S=30°
<em>Find m∠T</em>
m∠T=2(m∠S)
m∠T=2(30°)=60°
<em>Find m∠P</em>
m∠P=3(m∠S)
m∠P=3(30°)=90°
22^7 - 22^4 = 2,494,123,632 .
Answer:
x = 20
Step-by-step explanation:
2x + 7x = 180
⇔ 9x = 180
⇔ x = 180/9 = 20
Answer:
(B) 
Step-by-step explanation:
we can use formula
where
Po is the initial population
r is the growth rate
t is the time in months
We are given
initial population of insects
so, Po=6
The scientists find that the insect population, x, is growing exponentially 20% per month
so, r=0.20
now, we can plug these values
there to be a population of 477 insects
so, P(t)=477
now, we plug it
and we get
