One way is to first find the measure of one external angle:-
Measure 1 ext angle = 360 / 10 = 36 degrees (Note the sum of the external angles of all polygons is 360 degrees)
So the internal angle = 180 - 36 = 144
So sum of the internal angles
= 10 * 144
= 1440 degrees (answer)
Answer:
See below for an explanation
Step-by-step explanation:
I'm unsure of your answer choices, so I'll show you how to solve for the remainder of the whole triangle:
Since we are given a hypotenuse of 5 and a side length of 4 which is adjacent to ∅, the trig function to solve for ∅ would be cosine because cos∅=adjacent/hypotenuse (SOHCAHTOA). This means cos∅=4/5 and taking the arccos (the inverse of cosine aka. cos^-1) of both sides gets us ∅=36.87°
Side AC can be solved by using the Pythagorean Theorem since a²+b²=c² can be turned into 4²+b²=5². We would then have 16+b²=25 which is also b²=9, thus taking the square root of both sides gives us b=3 (since distance is positive). Thus, side AC has a length of 3 units.
∠A can be found by using the Triangle Angle-Sum Theorem. Since all the interior angles of a triangle must add up to 180°, then ∠A+∠B+∠C=180°. We know that since ∠B=36.87° and ∠C=90°, then we have the equation ∠A+36.87°+90°=180°. Combining like terms on the left side gets us ∠A+126.87°=180° and subtracting on both sides get us ∠A=53.13°
<u>Final sides and angles of the triangle:</u>
∠A=53.13°
∠B=36.87°
∠C=90°
BC=4
BA=5
AC=3
Answer:
2 cups
Step-by-step explanation:
If you have 3 cups of flour and only want 2/3 of the recipe you would subtract 1 from the 3 to give you 2.
88 minutes (1 hour and 28 mins)
Since 5 miles takes 40 minutes, multiplying both numbers by 2 gets you to 10 miles in 80 minutes. To get the extra 1 more miles you have to find the unit rate
5 miles in 40 minutes : divided both numbers by 5 to get
1 mile in 8 minutes
add the one mile in 8 minutes to the 10 miles in 80 mins and you get 11 miles in 88 minutes
Let h be the numbers of hours, f be the one-time fee and c the cost charged. The equation is
Since you pay $15 per four, plus the fee. We can solve this equation for the fee:
If we plug c=195 and h=9, we have
