no
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Answer:
x = 34
Step-by-step explanation:
This is a straight line so the sum of angles must be 180°
4x + 20 + x - 10 = 180 add like terms
5x + 10 = 180 subtract 10 from both sides
5x = 170 divide both sides by 5
To calculate each angle we replace x with the value we found
4x + 20 ➡ 4×34 + 20 = 156
x - 10 ➡ 34 - 10 = 24
22 - 6 = 16
its 22 and 6
Since DE || BC, and AC is a transversal,
∠AED and ∠ECB are congruent.
In ΔADE, since two angles are given, the third angle can be found by using Triangle Sum Theorem.
So, ∠AED = 180° - (68° + 90°)
= 180° - 158°
= 22°
Hence, the correct statements and reasons are:
Corresponding angles are congruent
Triangle Sum Theorem
Measure of angle AED is 22°
Answer: m = 1/2
Step-by-step explanation: To find the slope of the line, we would first put the equation in y = mx + b form to get y by itself on the left side.
So divide both sides by 2 to get y = 1/2x - 4.
Now the slope is the coefficient of the x term which is 1/2.
This is a positive slope.
There are 5193 species will be left
* Lets explain how to solve the problem
- The number of species (n) that live in a region of some area (A), can
be found by using the logarithmic model n = k log A where k is
a constant
- If 5,800 species live in a rain forest that has an area of 750 square
kilometers
∴ n = 5800 species
∴ A = 750 km²
- Substitute the value of A and n in the equation to fined k
∵ A = 750 , n = 5800
∵ n = k log A
∴ 5800 = k log (750)
- Divide both sides by log (750)
∴ k = 5800 ÷ log (750)
∴ k = 2017.34
- Lets substitute the value of k in the equation
∴ n = 2017.34 log A
- The half of the rain forest is destroyed due to an amusement park
being built there
∴ The new area is 1/2 the old area
∵ The old area is 750
∴ The new area = 1/2 × 750 = 375 km²
- Lets substitute this value in the equation to find the number of
species will be left in the new area
∵ A = 375
∴ n = 2017.34 log (375) = 5192.696 ≅ 5193
∴ There are 5193 species will be left
