Answer:
The value of x = 8
Step-by-step explanation:
For better understanding of the solution, see the attached figure of the diagram :
∠1 and ∠2 are alternate exterior angle and ∠3 is adjacent to ∠2
⇒ ∠1 = (4x + 28)°
⇒ ∠3 = (14x + 8)°
Now, ∠2 + ∠3 = 180° (Linear Pair)
⇒ ∠2 = 180 - 14x -8
⇒ ∠2 = 172 - 14x
Since the alternate exterior angles formed by the transversal between two parallel lines are equal in measure.
⇒ ∠1 = ∠2
⇒ (4x + 28)° = (172 - 14x)°
⇒ 18x = 144
⇒ x = 8
Therefore, ∠1 = ∠2 = 60° and ∠3 = 120°
Hence, The value of x = 8
Answer:
a. 281.25 grams
b. The 500 represent the original amount of aspirin.
c. 3/4 tells us what amount of the aspirin remains after every hour.
d's answer is in the picture. Just copy the line.
Step-by-step explanation:
A is the only part that needs any explanation.
Since the t represent hours, I'll subsititute t for 2.
500 * (3/4)²
<em>3/4 squared is 9/16.</em>
500 * 9/16
<em>Multiply 500 by 9 to get 4500.</em>
4500/16
<em>Simplify 4500/16 to 1125/4 (4 is canceled out.)</em>
1125/4
<em>Divide 1125 by 4 to get 281.25</em>
281.25
281.25 grams of aspirin will be in the patient body after two hours.
Answer:
30 - 12x or 6(5 - 2x)
Step-by-step explanation:
Given expression:
First, let us simplify the expression inside the parentheses;
- ⇒ 4[5 + (-3x)] + 10
- ⇒ 4[5 - 3x] + 10
Then, let us open the parentheses by simplifying the distributive property;
- ⇒ 4[5 - 3x] + 10
- ⇒ 20 - 12x + 10
Finally, let us simplify the expression by adding 10 to 20.
- ⇒ 20 - 12x + 10
- ⇒ 30 - 12x
[Optional] Factor the expression by putting the expression in parentheses.
Since 6 is divisible to all the terms in the expression, we can divide 6 to all the terms in the expression and take "6" outside the parentheses.
- ⇒ 6(30/6 - 12x/6)
- ⇒ 6(5 - 2x)
Therefore, the simplified expression is 30 - 12x or 6(5 - 2x).
Length (L) = 2 · W
Width (W) = W
Area (A) = L · W
252 = (2W)(W)
252 = 2W²
126 = W²
11.2 ≈ W
L = 2 · W
= 2 · 11.2
= 22.4
Dimensions: 11.2 ft x 22.4 ft
Answer:
(3,2)
Step-by-step explanation:
The equation of the line graphed is
y = 2/3x + 2
Parallel lines have the same slope.
y = mx + b
y = 2/3x + 0 P tells me that the y-intercept is 0
y = 2/3 x Which point would make this true?
Point (3,2) We plug in 3 for x and 2 for y
2 = 2/3(3)
2 = 2 This is a true statement, so the point (3,2) is on the line.