Answer: The journey took 4 hours and 15 minutes.
For numbers 15-17, we need to remember that two of a triangle's angles are always acute and the third angle will allow us to classify the triangle based on its angles. now that we know this, let's look at #15. the first two angles listed are acute, and the third is an obtuse angle, therefore it is an obtuse triangle. on #16 we have three acute angles, so it is an acute triangle. #17 has two acute angles and a right angle so it is a right triangle.
on numbers 21-23, we need to know that a triangle with all congruent sides is called equilateral, a triangle with two equal sides is isosceles, and a triangle with no equal sides is called scalene. #21 shows two equal sides so it is an isosceles triangle. #22 has three equal sides so it is an equilateral triangle. #23 has no equal sides so it is scalene. hope this helped! :)
Th term of an arithmetic sequence:
We have to find the difference (d)
an=a₁+(n-1)d
Data:
a₁=-7
a₁₈=95
95=-7+(18-1)d
95+7=17d
17d=102
d=102/17
d=6
Now, we can calculate the 35 th term of an arithmetic sequence:
a₃₅=-7+(35-1)*6
a₃₅=-7+34*6
a₃₅=-7+204
a₃₅=197
Answer: the 35th term of this arithmetic sequence is 197. (a₃₅=197)
Answer:
no 15x — 20xy as 5x(3— 4xy is not correct
Step-by-step explanation:
15x — 20xy ≠ 5x(3— 4xy)
there are not equal because 5x(3 - 4xy) =
when you simplify the bracket, you will have
15x - 20x²y
Answer:
The correct answer is option D. 13
Step-by-step explanation:
From the figure we can see two matrices A and B
<u>To find the sum of a₃₂ and b₃₂</u>
From the given attached figure we get
a₃₂ means that the third row second column element in the matrix A
b₃₂ means that the third row second column element in the matrix B
a₃₂ = 4 and b₃₂ = 9
a₃₂ + b₃₂ = 4 + 9
= 13
The correct answer is option D. 13