<u>Let's take this problem step-by-step</u>:
<u>The ;unlabeled angle' adjacent to the 'outside angle of measure 78°'</u>
⇒ is on a straight line
⇒ sum of angle measure = 180 degrees

<u>Now we know:</u>
⇒ sum of all angles in a triangle ⇒ 180°
<u>Let's put that in equation form and solve:</u>

<u>Answer: 21°</u>
<u></u>
Hope that helps!
#LearnwithBrainly
Answer:
The area of the polygon is 42
.
Step-by-step explanation:
A polygon is a shape that has three or more sides. They are named with respect to the number of their sides. Example, an octagon has 8 sides, hexagon has 6 sides etc.
From the given figure, the area of the shaded polygon can be calculated by;
Area of polygon = Area of square - Sum of areas given
Sum of areas given = 24 + 30 + 48
= 102
The four sides of the figure are equal, thus it is a square. The length of each side is 12 cm, so that:
Area of square = length × width
= 12 × 12
= 144
Area of polygon = 144 - 102
= 42
The area of the polygon is 42
.
Answer:
The equations are:


Step-by-step explanation:
Let:


For Tina:

For Doug:

Solving for the price of both items:
We have:
--- (1)
--- (2)
Multiply (2) by 2
2 * (
)
-------------------
--- (3)
Subtract (3) from (1)


----------------------



Solve for P


Substitute 1.25 for P in (2)



Collect Like Terms


Solve for H

