Only second pair of triangles can be proven congruent by Hypotenuse leg theorem(HL).
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What is hypotenuse theorem leg(HL)?</h3>
The HL theorem leg (Hypotenuse theorem) states that the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
According to the given question.
We have three pairs of triangles.
For the first pair of triangles, both the triangles are not right angled triangles. So, we can't apply hypotenuse leg theorem.
For the second pair of triangles, both the pairs of triangles are right angled triangle and the hypotenuse and leg of one triangle is equals to the hypotenuse and leg of another triangle. Therefore, we can apply hypotenuse leg theorem for the second pair of triangles. So, the given triangles are congruent to each other.
For the third pair of triangles, both the triangles are right angled triangle but the only leg of one triangles is equal to the leg of another triangle. So, we can't apply Leg hypotenuse theorem for the second pair of triangles.
Hence, only second pair of triangles can be proven congruent by Hypotenuse leg theorem(HL).
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Answer:
0.6957 = 69.57% probability that you are randomly assigned a General Practitioner or a doctor under the age of 50.
Step-by-step explanation:
I am going to solve this question treating these events as Venn events.
I am going to say that:
Event A: General practitioner.
Event B: Under the age of 50.
Suppose that 9 out of the 23 doctors in a small hospital are General Practitioners
This means that
10 out of the 23 are under the age of 50
This means that
3 are both General Practitioners and under the age of 50.
This means that
What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 50?
This is:
Considering the values we have for this exercise.
0.6957 = 69.57% probability that you are randomly assigned a General Practitioner or a doctor under the age of 50.
Answer: m = 27, b = 6
Step-by-step explanation:
1. Start by combining like terms
6 + 27x = y
2. Rearrange into standard form (y = mx +b)
y = 27x +6
Interpret the values:
m = slope -> 27
b = y-intercept -> 6
Answer:
2 → 3 → 1 → 4
Step-by-step explanation:
We are given the list of cost of fabric in dollars per square yard.
So, the total cost per square yard of different fabric are:
1. 6.5 for $6.25 = = 0.96
2. 4 for $3 = = 0.75
3. 8.5 for $8.10 = = 0.95
4. 6 for $7.20 = = 1.2
Since, 0.75 < 0.95 < 0.96 < 1.2
Hence, from least to the greatest unit cost, the sequence is 2 → 3 → 1 → 4.
Answer: N:-4,-2 M:-2,-1 P:-1,-4
Step-by-step explanation: