ANSWER
The is 10 is meters
EXPLANATION
The area of a tra-pezoid can be calculated using the formula;
![Area= \frac{1}{2} \times (sum \: of \: bases) \times height](https://tex.z-dn.net/?f=Area%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20%28sum%20%5C%3A%20of%20%5C%3A%20bases%29%20%5Ctimes%20height)
We substitute the values to get,
![95= \frac{1}{2} \times (7 + 12) \times height](https://tex.z-dn.net/?f=95%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20%287%20%2B%2012%29%20%5Ctimes%20height)
![2 \times 95= 19 \times height](https://tex.z-dn.net/?f=2%20%5Ctimes%2095%3D%2019%20%5Ctimes%20height)
![\frac{190}{19} = height](https://tex.z-dn.net/?f=%20%5Cfrac%7B190%7D%7B19%7D%20%20%3D%20height)
![height = 10](https://tex.z-dn.net/?f=height%20%3D%2010)
The height is 10 meters.
Answer:
∠DCE is congruent to ∠CBA by the Vertical Angles Theorem and 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SSS Similarity Postulate.
Step-by-step explanation:
Answer:
Step-by-step explanation:
It's given in this question,
m∠2 = 41°, m∠5 = 94° and m∠10 = 109°
Since, ∠2 ≅ ∠9 [Alternate interior angles]
m∠2 = m∠9 = 41°
m∠8 + m∠9 + m∠10 = 180° [Sum of angles at a point of a line]
m∠8 + 41 + 109 = 180
m∠8 = 180 - 150
m∠8 = 30°
Since, m∠2 + m∠7 + m∠8 = 180° [Sum of interior angles of a triangle]
41 + m∠7 + 30 = 180
m∠7 = 180 - 71
m∠7 = 109°
m∠6 + m∠7 = 180° [linear pair of angles]
m∠6 + 109 = 180
m∠6 = 180 - 109
= 71°
Since m∠5 + m∠4 = 180° [linear pair of angles]
m∠4 + 94 = 180
m∠4 = 180 - 94
m∠4 = 86°
Since, m∠4 + m∠3 + m∠9 = 180° [Sum of interior angles of a triangle]
86 + m∠3 + 41 = 180
m∠3 = 180 - 127
m∠3 = 53°
m∠1 + m∠2 + m∠3 = 180° [Angles on a point of a line]
m∠1 + 41 + 53 = 180
m∠1 = 180 - 94
m∠1 = 86°
Answer: The slope should be infinity.
Step-by-step explanation: I hope this helps you!