The congruence statement and the rule used is: ΔTIG ≅ ΔAIN by SAS.
<h3>The Side-Angle-Side Congruence Theorem</h3>
- It is also referred to as the SAS Congruence Theorem.
- SAS Congruence Theorem is used to show that two triangles, with two pairs of congruent sides and a pair of congruent included angles, are congruent.
Thus, in the image shown below, ΔTIG and ΔAIN have:
two pairs of congruent sides - TI ≅ NI and GI ≅ AI.
one pair of congruent included angles - ∠TIG ≅ ∠AIN
Therefore, the congruence statement and the rule used is: ΔTIG ≅ ΔAIN by SAS.
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In the context of the disc assessment, Belinda would most likely score high in conscientiousness
- Conscientiousness is one of the five big personality of people. It is the extent an individual is focused especially on a few goals, making the person to behave in ways that are responsible, highly dependable, consistent, and is focused on achieving something and not being a failure.
Conclusively we can therefore say that in the context of the disc assessment, Belinda would most likely score high in conscientiousness
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What the sample suggests is that; the mean body temperature couldvery possibly bevery possibly be 98.6 °F.
<h3>What is the Confidence Interval?</h3>
For a 99% Confidence Interval and DF = 103 - 1 = 102, the value of z = 2.33.
The formula for confidence interval is;
CI = x⁻ ± z(σ/√n))
We are given;
Sample mean; x⁻ = 98.9
standard deviation; σ = 0.67
sample size; n = 103
Thus the confidence Interval is;
CI = [98.9 - 2.33(0.67/√103)], [98.9 + 2.33(0.67/√103)]
CI = (98.9 - 0.154, 98.5 + 0.154)
CI = (98.36, 98.64)
Thus, 98.6 is contained within the 99% CI,and so we can conclude that the the mean body temperature could very possibly bevery possibly be 98.6 °F.
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Answer:
2: 35 and 70
Explanation:
1. The LCM of 5 and 7: <em>35</em>
2. 35 * 2 = 70
3. 35 * 3 = 105, not 2-digit
So, the only 2-digit numbers that are multiples of both 5 and 7 are 35 and 70, so 2.