Answer:
7
Step-by-step explanation:
The area for a parallelogram is given by the following formula:

Where b is the base and h is the height.
We already know the area is 28 and the height is 4. So, substitute:

Divide both sides by 4:

So, the base length is 7.
Our answer is 7 :)
Answer:

The slope is negative.
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (-5, 19)
Point (-1, 7)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Simplify:

- Subtract/Add:

- Divide:

4¹ = 4
4² = 16
4³ = 64
4⁴ = 256
(4⁵ = 1,024 too big)
Answer:
Both angles have a measure of 134degrees, y = 27degrees.
Step-by-step explanation:
As per what is given in the problem:
There are 2 parallel lines, both are intersected by a transversal.
Remember the theorem, when two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.
The is meanse that:
3y + 53 = 7y - 55
Solve using inverse operations:
3y + 53 = 7y - 55
+55 +55
3y + 108 = 7y
-3y -3y
108 = 4y
/4 /4
27 = y
Now, substitute back in to find the value of the angle:
3y + 53
y = 27
3 ( 27 ) + 53
81 + 53
= 134
Since the angles are alternate exterior, they are congruent, hence both angles have a measure of 134degrees.