Answer:
Given: It is given that and .
To Prove: ABCD is a parallelogram.
Statements
1. and
Reason: Given
2. are alternate interior angles
Reason: Def of alternate interior angles
3.
Reason: Alternate interior angles are congruent
4.
Reason: Reflexive property
5.
Reason: SAS congruency theorem
6.
Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)
7. ABCD is a parallelogram
Reason: Parallelogram Side Theorem
Step-by-step explanation:
please mark me brainliest
3. 12h
h is the number of floors in the building.
4. 11 floors
7.16d
d represents the number of months
8. 144 sunny days
Hope this helps though I believe I have 3 and 7 incorrect since I'm not good at writing expressions....
Use distributive property: a(b - c) = ab - ac
Answer:\
Answer:
The answer to your question is the second choice
Step-by-step explanation:
Data
Large rectangle Small rectangle
base = 15 ft base = 11 ft
height = 13 ft height = 9 ft
Process
1.- Express the area of the large rectangle
Area = base x height
Substitution
Area = (15)(13)
2.- Express the area of the small rectangle
Area = (11)(9)
3.- Write the area of the shaded region
Shaded area = Area of the large rectangle - Area of the small rectangle
-Substitution
Shaded area = (15)(13) - (11)(9)
Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:
Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is:
