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Novay_Z [31]
3 years ago
9

Help please and show work too

Mathematics
1 answer:
Maru [420]3 years ago
5 0

Answer:

Below

Step-by-step explanation:

51)

Let n be the first even number.

So the four consecutive even numbers are:

● n

● n+2

● n+4

●n+6

The smallest minus twice the larger is 4

● n-2(n+6)= 4

●n-2n-12 =4

● -n -12 =4

● -12 = 4+n

● -12-4 = n

● -16 = n

so the first even number is -16 and the largest one is -10

● -16+6= -10

■■■■■■■■■■■■■■■■■■■■■■■■■

Let m be the first integer

So the five consecutive integers are:

● m

● m+1

● m+2

● m+3

● m+4

The sum of this terms is 5.5 times the middle(m+2)

● m+m+1+m+2+m+3+m+4 = 5.5(m+2)

● 5m + 10 = 5.5 m +11

● -0.5 m = 1

●-m = 2

● m= -2

So the integers are;

● -2

● -1 (-2+1)

● 0

● 1

● 2

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Hey guys I need help plz asap
Ilya [14]
Answer:

Explanation:

AB = BC
=> Triangle ABC is an Isosceles Triangle
Thus, Angle C = Angle A
DE = BE
=> Triangle DEB is an Isosceles Triangle
Thus, Angle D = Angle B

Proof that triangle ABC and DEB are similar:

Angle DBE = Angle A (corresponding angle)
Angle BDE = Angle C (Both Triangle are Isosceles, if one pair of the angle are equal then the other pair should also be equal)

=> Triangle ABC ~ Triangle DEB (AA)

Therefore, Angle E = Angle B

Find angle B:

Angle C + Angle A + Angle B = 180
40 + 40 + angle B = 180
Angle B = 180 - 80
Angle B = 100 degree

But Angle B = Angle E = 100 degree

Therefore, Angle E = 100 degree
3 0
2 years ago
Helppp please I have limited time
Sophie [7]

Answer:

p = <u>T</u> - a - <u>b</u>

Step-by-step explanation:

Hope that helps, not sure if it is correct though.

7 0
3 years ago
Read 2 more answers
Please help me solve this
In-s [12.5K]

Step-by-step explanation:

Erase the dot points you already have. We are supposed to substitute those values in the right side of problem 1 into the function as x.

For example if x=-4

- ( - 4) + 5 = 9

If x=-2

- ( - 2) + 5 = 7

If x=0

0 + 5 = 5

- 2 + 5 =  3

- 4 + 5 = 1

So our point should be

-4,9

-2,7

0,5

-2,3

-4,1.

The range is all possible y values in a function. Since this is discrete and we are given the domain, our range will just be the y value of the points you graphed.

(9,7,5,3,1)

5 0
2 years ago
Line segment ST is dilated to create line segment S'T' using the dilation rule DQ,2. 25. Point Q is the center of dilation. Line
abruzzese [7]

The distance between points S' and S is x= 2.5 units.

<h2>Given that</h2>

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ 2. 25.

Point Q is the center of dilation.

Line segment ST is dilated to create line segment S prime T prime.

The length of QT is 1. 2 and the length of QS is 2.

The length of SS prime is x and the length of TT prime is 1. 5.

<h3>We have to determine</h3>

What is x, the distance between points S' and S?

<h3>According to the question</h3>

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ, 2.25.

Also, SQ = 2 units, TQ = 1.2 units, TT'=1.5, SS' = x.

Since the line ST is dilated to S'T' with the center of dilation Q, the triangles STQ and S'T'Q must be similar.

We know that the corresponding sides of two similar triangles are proportional.

So, from ΔSTQ and ΔS'T'Q.

\dfrac{SQ}{S'Q} = \dfrac{TQ}{T'Q}\\&#10;\\&#10;\dfrac{SQ}{SQ+SS} = \dfrac{TQ}{TQ+TT'}\\&#10;\\ &#10;\dfrac{2}{2+x} = \dfrac{1.2}{1.2+1.5}\\\rm &#10;\\&#10;\dfrac{2}{2+x} = \dfrac{1.2}{2.7}\\\\ \dfrac{2}{2+x} = \dfrac{12}{27}\\\\2(27) = (2+x) 12\\\\ 54 = 24 + 12x\\&#10;\\&#10;12x = 54-24\\&#10;\\&#10;12x=30\\&#10;\\&#10;x = \dfrac{30}{12}\\&#10;\\&#10;x = 2.5

Hence, the distance between points S' and S is x= 2.5 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/16016926

5 0
2 years ago
Given the function f(x) = −3x3 + 9x2 − 2x + 3, what part of the function indicates that the left end starts at the top of the gr
shutvik [7]

Answer: The correct option is, The coefficient of the first term.

Step-by-step explanation:

The given function is,

f(x)=-3x^3+9x^2-2x+3

End behavior of the polynomial function : It is defined as the graph of f(x) as x approaches +\infty and -\infty.

The end behavior of the graph depends on the leading coefficient and degree of the polynomial.

As, the degree of the polynomial is '3'. So, the leading coefficient will determine the structure of the graph.

Therefore, the coefficient of the first term will indicate that the left end starts at the top of the graph.

The graph is also shown below.

5 0
3 years ago
Read 2 more answers
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