Which represents an exterior angle of triangle XYZ?O LXZ
O JXM
O JXZ
O HXJ
on edge 2020
Answers
An exteriorangle of ΔXYZ is ∠HXJ.
The correct option is D.
What is an angle measure?
When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
As per the provided diagram, the exterior angles in the ΔXYZ are:
∠LXH,
∠MXJ,
∠HXJ,
∠OYK,
∠GZN,
∠MXZ,
∠YXL,
∠KYZ,
∠GZY.
From the given choices, ∠HXJ is an exterior angle of ΔXYZ.
To learn more about the angle measure;
#SPJ7
Answer:
The answer is C, <JXZ.
Step-by-step explanation:
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The probability that Jonas will win the race is 0.6 and the probability that he will not win is 0.5.The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal to 1.
Answers
Answer:
Step-by-step explanation:
Answers
Explanation:
To find the value, put 320 where x is and do the arithmetic.
f(320) = 0.11·320 +43 = 35.20 +43 = 78.20
The meaning is described by the problem statement:
"how much Derek pays for phone service" for "the number of minutes, [320], used for international calls in a month."
Derek pays 78.20 for 320 minutes of international calls in a month.
__
The units (dollars, rupees, euros, pounds, ...) are not specified.
Answer:
Given the function f(x) = 0.11x + 43, this shows the relationship between how much Derek has to pay for phone service for the amount of minutes he uses on international calls a month. f(320) can be solved by substituting x = 320, and this is shown below: f(x) = 0.11x + 43 f(320) = 0.11(320) + 43 f(320) = 78.2 This means that Derek has to pay $78.20 for the 320 minutes of calls. Among the choices, the correct answer is B.
Answers
Answer:
6x
Step-by-step explanation:
2x*3x=6x
Answers
Answer:
29 miles were used per gallon
Step-by-step explanation:
257 / 9 = 28.555..
We can round 28.555 to about 29.
So John got 29 miles per gallon.
Answers
Answer:
Step-by-step explanation:
So we have the function:
And we want to find h(x)=3/4.
So, we want to find the value of x such that h(x) equates to 3/4.
So, substitute 3/4 for h(x):
First, subtract both sides by 5/4. The right will cancel.
Subtract on the left:
Reduce on the left:
Now, multiply both sides by -1/2. The right will again cancel:
Multiply on the left:
So, for h(x) to be 3/4, the value of x is 1/4.
And we're done!
Answer:
x = 1/4
Step-by-step explanation:
We are given the function as h(x) = - 2x + 5/4. If we have to determine h(x) = 3/4 given this function, let's substitute this value into our function and solve for 'x.' This will be our solution -
3/4 = - 2x + 5/4,
If we subtract 5/4 from either side : - 2x = - 1/2
Now divide either side by - 2 : x = 1/4
Therefore our solution is x = 1/4
Answers
Answer:
Step-by-step explanation:
Let X denote the amount of time spending exercise in a given week
Given that X normal (3.8, (0.8)²)
Thus we know that
i)P [ amount of time less than two hour ]
= P[x < 2]
ii)
= P[z > 2.25] ∴ symmetric
= P[0 ≤ z ≤ ∞] - P[0 ≤ z ≤ 2.25]
= 0.5 - 0.48778
= 0.0122
iii)
P[2 < x < 4]
Answer:
i) Check attached image.
ii) P(x < 2) = 0.0122
iii) Check attached image.
iv) P(2 < x < 4) = 0.5865
Step-by-step explanation:
This is a normal distribution problem with
Mean = μ = 3.8 hours per week
Standard deviation = σ = 0.8 hours per week
i) The probability that a person picked at random exercises less than 2 hours per week on a shaded graph?
P(x < 2)
First of, we normalize/standardize the 2 hours per week
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (2.0 - 3.8)/0.80 = -2.25
The probability that someone picked at random exercises less than 2 hours weekly is shown in the attached image to this question.
P(x < 2) = P(z < -2.25)
ii) To determine the probability that someone picked at random exercises less than 2 hours weekly numerically
P(x < 2) = P(z < -2.25)
We'll use data from the normal probability table for these probabilities
P(x < 2) = P(z < -2.25) = 0.01222 = 0.0122 to 4 d.p
iii) The probability that a person picked at random exercises between 2 and 4 hours per week on a shaded graph?
P(2 < x < 4)
We then normalize or standardize 2 hours and 4 hours.
For 2 hours weekly,
z = -2.25
For 4 hours weekly,
z = (x - μ)/σ = (4.0 - 3.8)/0.80 = 0.25
The probability that someone picked at random exercises between 2 and 4 hours weekly is shown in the attached image to this question.
P(2 < x < 4) = P(-2.25 < z < 0.25)
iv) To determine the probability that a person picked at random exercises between 2 and 4 hours per week numerically
P(2 < x < 4) = P(-2.25 < z < 0.25)
We'll use data from the normal probability table for these probabilities
P(2 < x < 4) = P(-2.25 < z < 0.25)
= P(z < 0.25) - P(z < -2.25)
= 0.59871 - 0.01222 = 0.58649 = 0.5865
Hope this Helps!!!