A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle. Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
1.) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
2.) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
3.) Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
4.) Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Answers
Answer:
4.) Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Step-by-step explanation:
o and p are supplementary angles, and therefore add up to 180 degrees.
Related Questions
The value of a particular rookie baseball card was $2.00 when it was first printed. Five years later, when the player was at his peak, the card was valued at $25.00. Ten years after printing, the card was valued at $8.00. Model the above scenario, showing the value of the card, y, with respect to years since it was printed, x. Write the equation in standard form, y = ax2 + bx + c, where a, b, and c are real numbers rounded to the nearest tenth.
Estimate 2/3% of $141
Please answer this, I am confused (5^2)(7^2)(3^2)
Find each x-value at which f is discontinuous and for each x-value, determine whether f is continuous from the right, or from the left, or neither. f(x) = x + 4 if x < 0 ex if 0 ≤ x ≤ 1 8 − x if x > 1 x = (smaller value) continuous from the right continuous from the left neither
.True
.False
Answers
Answer:
False
Step-by-step explanation:
Sorry for the lat reply hopefully you still have that question ready. But basically in order for these equations to be considered inverses of one another it has to map its domain value and switch it to the range value and in this case it does not match the inverse when graphed.
Final answer:
The functions f(x) = 3x - 7 and g(x) = (1/3)x + 7 are inverses of each other.
Explanation:
Two functions are inverses of each other if the composition of the functions results in the identity function. To check if f(x) = 3x - 7 and g(x) = (1/3)x + 7 are inverses, we need to find their composition.
Let's substitute g(x) into f(x) and simplify: f(g(x)) = f((1/3)x + 7) = 3((1/3)x + 7) - 7 = x + 7 - 7 = x.
Since f(g(x)) = x, it means that f(x) and g(x) are inverses of each other, and therefore the statement is True.
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Answers
Answer:
x = 1.7
Step-by-step explanation:
Explanation: I checked with calculator!
gas, Write a function d(x), that gives the distance the Escape can travel with x gallons of gas in
the tank.
Answers
Given :
Maximum capacity of fuel tank , M = 14 gallon .
It can travel approximately 26 miles with one gallon of gas.
To Find :
A function d(x), that gives the distance the Escape can travel with x gallons of gas in the tank.
Solution :
Car can travel 26 miles in one gallon of gas.
So , distance covered in x gallon of gas :
( Here, 0 ≤ x ≤ 14 ) or x ∈ [ 0 , 14 ] .
Hence , this is the required solution.
which equals 120 seconds.
raal
Answers
Answer:
4 times
Step-by-step explanation:
Note,
- 60 seconds = 1 minute
- 120 seconds = 2 minutes (60*2).
Since the student rode a horse for 120 seconds, to find the number of times the student riding the carousel completed the up-down cycle, we divide it by 30 seconds (which is the duration for the horse to complete one up-down cycle) because the student would be having the same duration as the horse because he was on top the horse.
Hence, we have;
120/30 = 4
40.4)
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4
(4,4)
3
3
3 2
2
2
2
(2.1)
6,2)
1
5 -4 -3 -2 -14
1
3
4
-5 4 -3 -2 -14
234
-5 6 -3 -2 -14
2
3
4
5
X
-2
-2
نا دیا
-3
-3
4
W4
-5
5
Tu
5
4
(
24)
Answers
Graph of the function is attached below.
Correct option is D.
What is exponential function?
As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:
Definition of exponential function
In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant called the base of the function, which must be greater than 0.
Given, exponential function
f(x) = (1/4)4ˣ
exponential function is defined for x∈R
Putting x = 0
f(0) = (1/4)4⁰
f(0) = 1/4
Point on curve is (0,1/4)
Putting x = 1
f(1) = (1/4)4¹
f(1) = (1/4)4
f(1) = 1
Point on curve is (1,1)
Putting x = 2
f(2) = (1/4)4²
f(2) = (1/4)16
f(2) = 4
Point on curve is (2,4)
Putting x = 3
f(3) = (1/4)4³
f(3) = (1/4)64
f(3) = 16
Point on curve is (3,16)
Point (0, 1/4), (1, 1), (2, 4), (3, 16) can be used to draw graph of the function.
Hence, graph of the function is drawn as follows.
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Answer:
The Third one
Step-by-step explanation:
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