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°.
6/x = x-1
Multiply x by both sides
6= x(x-1)
Set x and x-1 equal to 6
x = 6, x = 1+6 = 7
Answer:B
Step-by-step explanation:
The tree is 52.8 feet, since the hypotenuse is only part of the tree, you have to add 12, since then it would equal the total height of the tree.
a^2+b^2=c^2
12^2+ 39^2=c^2
144+1521= 1665
√1665
= 40.8
40.8 + 12
= 52.8 feet
Just plug in the numbers into the equation.
m = 4a + 2c
a = adults
c = children
m = meatballs
The information given says there are 25 adults and 5 children. So now:
a = 25
and
c = 5
in the equation m = 4a + 2c
Now plug in the values.
m = 4(25) + 2(5)
m = 100 + 10
m = 110
This means that 110 meatballs are required for 25 adults and 5 children.
