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yan [13]
2 years ago
14

HELPPPPPPPP MEEEEE PLEASEEEE

Mathematics
1 answer:
scoundrel [369]2 years ago
3 0

Step-by-step explanation:

a rectangle has two pairs of equally long sides and each of the 4 angles between the sides is 90 degrees.

given that ABCDEF is a regular hexagon, it means that all its sides are equally long, and therefore also all internal angles are the same size.

that means for ACDF that the sides DC and FA are equally long.

DEF and ABC are congruent triangles, as the sides DE = BC, EF = AB, and the angle E is congruent to angle B.

based on the SAS criteria this confirms that DF is congruent to AC.

the angles ACB, CAB, EDF and EFD have to be all the same, and therefore also the angles FDC, DCA, CAF and DFA.

so, all 4 angles of the parallelogram ACDF are the same, and the sum of all these angles has to be 360 degrees, we have

360 = 4×angle

angle = 90 degree.

so, all angles are 90 degrees and we have two pairs of equally long sides : this process that ACDF us a rectangle

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Solve for in the diagram below.
ch4aika [34]
X is 35. 180=75+3x. 180-75/3=35
8 0
3 years ago
Daniella made gift bows from 8 yards of ribbon. The bows are all the same size. If she made 16 bows, how much ribbon did she use
solniwko [45]

Answer:

1.5 feet

Step-by-step explanation:

there are three feet in a yard, so 8*3= 24, and 24/16=1.5 feet of ribbon used for each bow

4 0
3 years ago
Write an equation of a line parallel to y=10x+6 and going through point (2,-4)
nadya68 [22]

Answer:

Y= 10x-24 would be parralel to y=10x+6

Step-by-step explanation:

well a parralel line has to have the same slope and a different y-intercept.

To find the y-intercept the x has to be exactly 0.

So we have (2,-4)

The slope is 10/1 which is 10y and 1 x which in an ordered park would be Add 1 x and add 10 y. But we’re trying to get x to be 0 to find the y-intercept.

So subtract 1 x and subtract 10y

2-1=1

-4-10=-14

(1, -14)

1-1=0

-14-10=-24

(0, -24)

THe y-intercept is -24 and w have the slope since its the same thing So

y=10x-24 is the equation

7 0
3 years ago
In a given year, the population of Metro City is 7420, and the population is decreasing by 152 people per year. The population o
Anit [1.1K]

Answer:

The correct option is D.

Step-by-step explanation:

Let <em>x</em> denote the years.

The information provided is:

  • The population of Metro City is 7420.
  • The population is decreasing by 152 people per year.
  • The population of Smallville is consistently 1200 less than half of Metro City.

From the provided data derive the equation for the population of Smallville <em>x</em> years after as follows:

Y = [\frac{1}{2}\cdot (7420-152x)]-1200

The population of Smallville is 2282 after <em>x</em> years.

Compute the value of <em>x</em> as follows:

2282= [\frac{1}{2}\cdot (7420-152x)]-1200

\frac{7420-152x}{2}=2282+1200\\\\7420-152x=3482\times 2\\\\152x=7420-6964\\\\152x=456\\\\x=3

Thus, the time it will take for Smallville's population to reach 2282 is 3 years.

The correct option is D.

7 0
3 years ago
What is the answer to x and y
Olin [163]

Answer:

y= 128,  x=52

Step-by-step explanation:

The Sum of all the angles in a quadrilateral is 360.

y is 128 because both those angles are equal

the other 2 angles are also equal to each other.

360 - 128-128= 104

104/2 is 52

5 0
2 years ago
Read 2 more answers
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