Answer:
140°
Step-by-step explanation:
<u>Given:</u>
Dana draws a triangle with one angle that has a measure of 40∘.
<u>Question asked:</u>
What is the measure of the angle’s adjacent exterior angle?
Solution:
<u>As we know:</u>
<u><em>Sum of the adjacent interior and exterior angles is 180°.</em></u>
Interior angle = 40°
Adjacent exterior angle = ?
Interior angle + Adjacent exterior angle = 180°
40° + Adjacent exterior angle = 180°
<u>By subtracting both sides by 40°</u>
40° - 40° + Adjacent exterior angle = 180° - 40°
Adjacent exterior angle = 140°
Therefore, the measure of the angle’s adjacent exterior angle will be 140°.
Answer:
x = 22.5
Step-by-step explanation:
Vertical angles are congruent by the vertical angles theorem. Therefore is angle G is 45 degrees, then that means that angle H must be 45 degrees as well.
The value of x can be found by making the expression that represents angle H (2x) equal to 45 in an equation to solve for x.
2x = 45
Divide both sides by 2.
x = 22.5
The feeders in battling machine are represented in proportions and fractions.
- The equation that represents the problem is:

- The feeder can hold <em>30 baseballs</em>, when full
The given parameters are:
<em />
<em> ------ 1/6 full</em>
<em />
<em> --- baseballs added</em>
<em />
<em> ---- 2/3 full</em>
<em />
So, the equation that represents the problem is:

So, we have:

The number of baseballs it can hold is calculated as follows:

Multiply through by 6

Collect like terms


Divide through by 3

Hence, the feeder can hold 30 baseballs, when full
Read more about proportions and fractions at:
brainly.com/question/20337104
I was scared of dances in the dark I was going to put the girls in certain conversations all my friends on your the magicians within an hour dreams are all
Answer:
A. (U+V)^2 or (U-V)^2
Step-by-step explanation:
