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Greeley [361]
3 years ago
8

What are benchmark angles?

Mathematics
1 answer:
Komok [63]3 years ago
4 0
Any angle that is bent at 45 degree, 90 degree,180 degree are called benchmark angles. Obtuse angle, Acute angle, Right angle, Straight angle are called benchmark angles

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What is the sum of the arithmetic series
docker41 [41]

Answer:

S_ {12} = 192

Step-by-step explanation:

The nth term of the given arithmetic sequence is

U_n = 3 + 2n

The first term of this series is:

U_1 = 3 + 2(1) = 5

The last term of this series is when

n = 12

U_ {12}= 3 + 2(12)

U_ {12}= 3 + 24 = 27

The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

S_n =  \frac{n}{2}(a + l)

Where a=5 is the first term and l=27 is the last term.

S_ {12} =  \frac{12}{2}(5 + 27)

S_ {12} =6(32) =19 2

6 0
3 years ago
Find the distance between Point A (9, -3) and Point B (16,<br> 7), correct to 2 decimal places.
sleet_krkn [62]

Answer:

8.06

Step-by-step explanation:

use distance formula

5 0
3 years ago
F(x) = 4x + 7, g(x) = 3x^2 Find (f + g)(x)
kondor19780726 [428]
For the functions f(x) = 4x + 7 and g(x) = -9x + 11, find f(g(0)). For the functions f(x) = 3x2 - 7 and g(x) = -3x2 + 4, find f(g(2)). (Do NOT put commas in large numbers.)
3 0
3 years ago
How do I find these equations using substitution y=-3x+5 and 5x-4y=-3 ?
lapo4ka [179]

Answer:

x=1

Step-by-step explanation:

you would change it to 5x-4(-3x+5)=-3, because you put the info for the first equation into the second equation.

5x-4(-3x+5)=-3

5x+12x-20=-3

17x-20=-3

17x=17

x=1

6 0
2 years ago
Read 2 more answers
11. What's the perimeter of a regular heptagon if one side measures 3 inches?
NemiM [27]
When a polygon is regular, that means that all of its sides are the same length and all of its angles are the same. A heptagon has seven sides and you know that all of them measure 3 inches. You can find the perimeter by adding all of the side measures together, so 3 + 3 + 3 + 3 + 3 + 3 + 3, or 3 x 7. So, the perimeter of the heptagon is 21 inches.
7 0
2 years ago
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