Answer:
Therefore,
Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.
Step-by-step explanation:
Given:
The wind speed near the center of a tornado is represented by the equation,
Where,
d = the distance, in miles
S = the wind speed, in miles per hour.
To Find:
S = ? at d = 4 miles
Solution:
We have
.........Given
Substitute d = 4 in above equation we get,
Rounding the answer to the nearest tenth we have
Therefore,
Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.
Answer:
She didn't put the sign's in the proper place, it should be ( x + 3 ) ( x - 7 )
Step-by-step explanation:
( x - 3 ) ( x + 7 ) = x² + 7x - 3x - 21 = x² + 4x - 21
( x + 3 ) ( x - 7 ) = x² - 7x + 3x - 21 = x² - 4x - 21
Answer:
The measure of angle LMN is 68° ⇒ the last answer
Step-by-step explanation:
* Lets revise the properties of the rhombus
- The rhombus has 4 equal sides in length
- Every two opposite angles are equal in measure
- Every two adjacent angles are supplementary (their sum = 180°)
- The two diagonals bisect each other
- The two diagonals perpendicular to each other
- The two diagonals bisect the vertices angles
* Lets solve the problem
∵ LMNO is a rhombus
∴ ∠LMN and ∠MNO are adjacent angles
∴ ∠LMN and ∠MNO are supplementary
∴ m∠LMN + ∠MNO = 180°
∵ m∠MNO = 112°
∴ m∠LMN + 112° = 180° ⇒ subtract 112 from both sides
∴ m∠LMN = 68°
* The measure of angle LMN is 68°
Answer: See the figure attached.
Step-by-step explanation:
Observe the figure attached. The vertices of the triangle ABC have the following coordinates:
A(2,5); B(6,2) and C(3,-5)
To graph the image (in this case we can identify it as A'B'C'), you must use the rule 
→
.
Then, you have to subtract 6 units from the x-coordinate of each vertex and subtract 4 units from the y-coordinate of each vertex.
Therefore, you get:
Vertex A'→ 
Vertex B'→ 
Vertex C'→ 
Having the vertices of the image A'B'C', you can graph it (See the figure attached).
Answer:
Step-by-step explanation:
TO prove this we have to prove one of following.
SSS ( all three sides are equal )
SAS ( two sides and their middle angle is equal )
ASA ( two angles and their middle side are equal )
I am proving both triangles equal by ASA method.
The complete proof and explanation is given in attachment below.
