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Sholpan [36]
3 years ago
12

Which of the following describe an angle with a vertex at E? Check all that apply. A. DEF B. DFE C. FED D. EFD

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
6 0

Answer:  The correct options are

(A) DEF.

(C) FED.

Step-by-step explanation:  We are given to select the correct options that describes an angle with a vertex at E.

We know that

while writing the name of an angle, we always write the vertex in the middle and the points on the two legs of the angle are written on the two sides, left and right.

<u><em>Option (A):</em></u>  DEF.

Since the vertex E is written in the middle and the points D and F on the two legs ED and EF are written on the left and right side respectively,

so DEF describes an angle with vertex E.

<u><em>Option (B):</em></u>  DFE.

Since the vertex E is not written in the middle, so DFE does not describes an angle with vertex E.

<u><em>Option (C):</em></u>  FED.

Since the vertex E is written in the middle and the points F and D on the two legs EF and ED are written on the left and right side respectively,

so FED describes an angle with vertex E.

<u><em>Option (D):</em></u>  EFD.

Since the vertex E is not written in the middle, so EFD does not describes an angle with vertex E.

Thus, the correct descriptions of an angle with vertex E are DEF and FED. The angle is shown in the attached figure below.

Options (A) and (C) are CORRECT.

laiz [17]3 years ago
5 0
The answers are A and C
PS you should give me the brainliest andswer
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The perimeter of a rectangular piece of plastic is 30 millimeters. The area is 54 square millimeters. What are the dimensions of
Delvig [45]

Answer:

6 mm and 9 mm are the dimensions of the piece of plastic.

Step-by-step explanation:

Keep in mind the formulas for the area and perimeter of a rectangle:

A = lw

P = 2 (l + w)

List the factors of 54:

1, 2, 3, 6, 9, 18, 27, 54

POSSIBLE DIMENSIONS of the piece of plastic:

1 mm and 54 mm:

Area - 54 mm^2

Perimeter - 110 mm

2 mm and 27 mm

Area - 54 mm^2

Perimeter - 58 mm

3 mm and 18 mm

Area - 54 mm^2

Perimeter - 42 mm

6 mm and 9 mm

Area - 54 mm^2

Perimeter - 30 mm

The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.

Hope this helps!

6 0
2 years ago
What is the quotient when 4x3 + 2x + 7 is divided by x + 3?
Arte-miy333 [17]

Answer:

The quotient of this division is (4x^2 -12x + 38). The remainder here would be -26.

Step-by-step explanation:

The numerator 4x^3 + 2x + 7 is a polynomial about x with degree 3.

The divisor x + 3 is a polynomial, also about x, but with degree 1.

By the division algorithm, the quotient should be of degree 3 - 1 = 2, while the remainder shall be of degree 1 - 1 = 0 (i.e., the remainder would be a constant.) Let the quotient be a\,x^2 + b\, x + c with coefficients a, b, and c.

4x^3 + 2x + 7 = \left(a\,x^2 + b\, x + c\right)(x + 3).

Start by finding the first coefficient of the quotient.

The degree-three term on the left-hand side is 4 x^3. On the right-hand side, that would be a\, x^3. Hence a = 4.

Now, given that a = 4, rewrite the right-hand side:

\begin{aligned}&\left(4\,x^2 + b\, x + c\right)(x + 3) \cr =& \left(4x^2 + (b\, x + c)\right)(x + 3) \cr =& 4x^2(x + 3) + (bx + c)(x + 3) \cr =& 4x^3 + 12x^2 + (bx + c)(x + 3)\end{aligned}.

Hence:

4x^3 + 2x + 7 = 4x^3 + 12x^2 + (b\,x + c)(x + 3)

Subtract \left(4x^3 + 12x^2\right from both sides of the equation:

-12x^2 + 2x + 7 = (b\,x + c)(x + 3).

The term with a degree of two on the left-hand side has coefficient (-12). Since the only term on the right hand side with degree two would have coefficient b, b = -12.

Again, rewrite the right-hand side:

\begin{aligned}&\left(-12 x + c\right)(x + 3) \cr =& \left(-12 x+ c\right)(x + 3) \cr =& (-12x)(x + 3) + c(x + 3) \cr =& -12x^2 -36x + (bx + c)(x + 3)\end{aligned}.

Subtract -12x^2 -36x from both sides of the equation:

38x + 7 = c(x + 3).

By the same logic, c = 38.

Hence the quotient would be (4x^2 - 12x + 38).

6 0
3 years ago
F(x)=x−5 translated 2 units down
inna [77]
Answer: f(x) = x-7
explanation: the function is already being translated down 5, so subtracting 2 more units leaves you with this new equation
6 0
3 years ago
When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.
Scorpion4ik [409]

Answer:

i think n = 4

Step-by-step explanation:

3(n+7) = 33

3n+21 = 33

3n = 12

n = 4

4 0
2 years ago
Read 2 more answers
If h(x) = x - 7 and g(x) = x^2 , which expression is equivalent to (gOh)(5)?
Ann [662]

(5 - 7)^2 is your answer


7 0
3 years ago
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