Answer:
<u>x = 52°</u>
Step-by-step explanation:
The angles add up to 360°.
- x + 98 + x + 91 + x + 15 = 360
- 3x + 204 = 360
- 3x = 156
- <u>x = 52°</u>
Answer:
A. 
Step-by-step explanation:
We have that, ΔABC is transformed to get ΔA''B''C''.
We see that the following transformations are applied:
1. Reflection across x-axis i.e. flipped across x-axis.
Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.
2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.
So, ΔA'B'C' is translated 2 units downwards and 6 units to the left to get ΔA''B''C''.
Hence, the sequence of transformations is Reflection across x-axis and then Translation of 2 units down and 6 units left.
answer:
mean: 15.8
median: 12
mode: no mode
range: 27
step-by-step explanation:
- first know how to find each of the above and what they are
- mean = (avg) add all the numbers, then divide by the number of numbers
- median = the middle number from increasing order
- mode = the one that repeats the most
- range = the difference between the largest and smallest number
8, 35, 10, 12, 14
<u>mean</u>
8 + 35 + 10 + 12 + 14 = 79
79 / 5 = 15.8
<u>median</u>
- put them from smallest to largest
8, 10, 12, 14, 35
- 12 is the median OR the middle number
<u>mode</u>
- no number repeat, so no mode
<u>range</u>
35 - 8 = 27
The answer is 40°
i will tell you how,
Total angle sum of any triangle is 180°
∠A + ∠B + ∠E = 180°
70° + 80° + ∠E = 180°
solve for ∠E
∠E = 30°
Now solve use ∠BDE,
∠B + ∠D + ∠E = 180°
20° + 90° + 30° + x = 180° (in triangle DEB, ∠E = 30 + x ) (∠D is 90°)
solve for x
there fore, x = 40°
