The next 5 terms are 165, 200, 235, 270, 305
Answer:
105
Step-by-step explanation:
Let the angle of B be x
According to the question,
5x+x=90
or, 6x=90
or, x=15
The angle of B is 15
The angle of A is (15*5)=75
The supplementary angle of A is
(180-75)=105
The answer is C because you can have a triangle with 5,9,n 5,10,n 9,10,n and 5,10,9
The reason why is because the sum of two sides is always larger than the value of the third side.
I hope that this helps.
Answer:
72 sq. mi
Step-by-step explanation:
Breaking this down, we have 2 right triangles with sides of 3, 4, and 5 miles, and 3 rectangles with dimensions 3 x 5, 4 x 5, and 5 x 5 miles. Remember that the area of a triangle is 1/2 x b x h , where b and h are the triangle's base and height. The base and height of the triangles at the bases of the figure are 3 and 4, so each triangle has an area of 1/2 x 3 x 4 = 1/2 x 12 = 6 sq. mi, or 6 + 6 = 12 sq. mi together.
Onto the rectangles, we can find their area by multiplying their length by their width. Since the width of these rectangles is the same for all three - 5 mi - we can make our lives a little easier and just "glue" the lengths together, giving us a longer rectangle with a length of 3 + 4 + 5 = 12 mi. Multiplying the two, we find the area of the rectangles to be 5 x 12 = 60 sq. mi.
Adding this area to the triangle's area gives us a total area of 12 + 60 = 72 sq. mi.
Answer:
Step-by-step explanation:
Remark
The rate is going to be the same as the distance travelled in 1 hour. The units will be different.
Formula
d = r * t
Givens
d = 558 miles
t = 3 hours
Problem A
r = d / t
r = 558/ 3 = 186 miles / hr
Problem B
Givens
r = 186 miles / hour
t = 1 hour
d = ?
Solution
d = 186 mi/hr * 1 hr
d = 186 miles
<u>Note</u>
This looks really trivial, but it's not. You have to learn to see the difference between a number and its units. It's not very often that the numbers will be the same, but if the units differ, then it is an entirely different question.
