Answer:
6.5 cm
Step-by-step explanation:
The computation of the length of the apothem is shown below:
Given that
The side length is 9.4 centimeters
And, the radius is 8 centimeters
Now based on the above information
As per the attached figure
AB = 8 cm
BC = 9.4 ÷ 2 = 4.7 cm
Now apply the pythagoras theorem
AB^2 = BC^2 + AC^2
8^2 = 4.7^2 + AC^2
AC^2 = 41.91
AC = 6.47 cm
= 6.5 cm
Answer:
Hence the correct option is option b) Yes, the upper level of one standard deviation is 72.
A score of 74 is not within one standard deviation of the mean.
Step-by-step explanation:
Here the given details are,
Mean = 68
SD = 4
Distribution is normal.
Z-score for x = 74 is given as below:
So, the score of 74 is 1.5 standard deviations from the mean.
Therefore the score is not lies between 64 and 72.
Yes, the upper level of one standard deviation is 72.
The right triangles that have an altitude which forms two right triangles
are similar to the two right triangles formed.
Responses:
1. ΔLJK ~ ΔKJM
ΔLJK ~ ΔLKM
ΔKJM ~ ΔLKM
2. ΔYWZ ~ ΔZWX
ΔYWZ ~ ΔYZW
ΔZWX ~ ΔYZW
3. x = <u>4.8</u>
4. x ≈ <u>14.48</u>
5. x ≈ <u>11.37</u>
6. G.M. = <u>12·√3</u>
7. G.M. = <u>6·√5</u>
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<h3>What condition guarantees the similarity of the right triangles?</h3>1. ∠LMK = 90° given
∠JMK + ∠LMK = 180° linear pair angles
∠JMK = 180° - 90° = 90°
∠JKL ≅ ∠JMK All 90° angles are congruent
∠LJK ≅ ∠LJK reflexive property
∠JLK ≅ ∠JLK by reflexive property
By the property of equality for triangles that have equal interior angles, we have;
2. ∠YWZ ≅ ∠YWZ by reflexive property
∠WXZ ≅ ∠YZW all 90° angle are congruent
∠XYZ ≅ ∠WYZ by reflexive property
∠YXZ ≅ ∠YZW all 90° are congruent
Therefore;
3. The ratio of corresponding sides in similar triangles are equal
From the similar triangles, we have;
8 × 6 = 10 × x
48 = 10·x
3. From the similar triangles, we have;
20 × 21 = x × 29
420 = 29·x
4. From the similar triangles, we have;
20 × 48 = 52 × x
5. From the similar triangles, we have;
13.2 × 22.4 = 26 × x
6. The geometric mean, G.M. is given by the formula;
The geometric mean of 16 and 27 is therefore;
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7. The geometric mean of 5 and 36 is found as follows;
Learn more about the AA similarity postulate and geometric mean here:
