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Marrrta [24]
3 years ago
8

The sum of four consecutive integers is 174 write and solve an equation that can be used to determine the smallest of the four i

ntegers
A•38
B•42
C•43
D•45
Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Let's say that the smallest is called "a"

We can re-write the question like this:

a+(a+1)+(a+2)+(a+3) = 174

4a+6=174

4a=168

a=42

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A larger number is one less than five times a smaller number. The sum of
Andre45 [30]

Answer:

whichever of these formats you need its the same answer (16/6) or 2.66666 or (2 and 2/3rds)

Step-by-step explanation:

replace smaller variable with x for example

(x) + (5x-1) = 17

6x-1=17

6x=16

x=(16/6 or 2.666666 or 2and2/3)

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3 years ago
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Sergeu [11.5K]

Answer:

-4

Step-by-step explanation:

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3 years ago
What is the area of this polygon?
ra1l [238]
Step 1) Draw a line from point F to point S. A rectangle forms (rectangle FSCW)

Step 2) Find the area of this rectangle. The area is 18 square units because it is 2 units high and 9 units across (9*2 = 18). You can count out the spaces or you can note how we go from x = -4 to x = 5 so subtracting the values gives -4-5 = -9 which has an absolute value of 9. 

Step 3) Find the area of triangle FSN. The base is 9 units and the height is 6 units (count out the spaces or subtract y values). So the area is A = b*h/2 = 9*6/2 = 54/2 = 27

Step 4) Add up the area of the rectangle to the area of the triangle: 18+27 = 45

Final Answer: 45 square units

note: another way to find the answer is to find the area of rectangle WABC where point A is at (-4,4) and point B is at (5,4). Then subtract off the triangular areas of AFN and BNS
6 0
3 years ago
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Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha
GalinKa [24]

Answer:

\theta_1 \ n\ \theta_2 = 120, 240

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

Nonagon = 9\ sides

Hexagon = 6\ sides

Divide 360 degrees by the number of sides in each angle, then find the multiples.

<u>Nonagon</u>

\theta = \frac{360}{9} =40

List the multiples of 40

\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320

<u>Hexagon</u>

\theta = \frac{360}{6} =60

List the multiples of 60

\theta_2 = 60, 120, 180, 240, 300

List out the common angles

\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320

\theta_2 = 60, 120, 180, 240, 300

\theta_1 \ n\ \theta_2 = 120, 240

This means that, only a rotation of 120, 240 will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

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2 years ago
Find the area of this shape shown below
KiRa [710]

Answer:

The answer is 8units^2.

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3 years ago
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