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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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a line is perpendicular to y = 3/7x - 2 and intersects the point (3,3). What is the equation of this perpendicular line?
snow_lady [41]

Answer:

y = -7/3x + 10

Step-by-step explanation:

Step 1: Find the slope of the perpendicular line

Do this by taking the negative inverse of the first line

m = -7/3

Step 2: Find <em>b</em>

y = mx + b

y = -7/3x + b

3 = -7/3(3) + b

3 = -7 + b

b = 10

You should get y = -7/3x + 10 as your final answer.

6 0
3 years ago
A mobile company charges a fixed rate of x cents per minute for the first 120 minutes of talk time and another rate of y cents p
patriot [66]

Answer:

$21.2

Step-by-step explanation:

From the problem given, we express them as algebra so that we can easily solve;

    the total charge on a call greater than 120min is given as;

   120x + y(n - 120) = total cost of call

where n is the number of minutes which is greater than 120;

  •   Ethan paid $26.80  for 175 mins

  n = 175min here;

      120x + y(175 - 120) = 26.80

       120x + 55y = 26.80 ----- (I)

  • $32.40 for 210 minutes

      n = 210min

       120x + y(210 - 120) = 32.4

       120x + 90y = 32.4 ----- (II)

Now let us solve both equations for y and x;

      120x + 55y = 26.80 ----- (I)

     120x + 90y = 32.4 ----- (II)

subtract the two equations;

             90y - 55y = 32.4 - 26.8

                  35y = 5.6

                       y = \frac{5.6}{35}  = 0.16cents

then x;

       120x = 26.8 - 55y from equation I

       120x = 26.8 - 55(0.16)

       120x = 18

            x = \frac{18}{120}  = 0.15cents

Find the cost of 140min of talk time;

  n =140min;

      =  120(0.15) + 0.16(140 - 120)

      = 18 + 0.16(20)

      = 18 + 3.2

      = $21.2

4 0
3 years ago
Distances in space are measured in light-years. The distance from Earth to a star is 6.8 × 1013 kilometers. What is the distance
baherus [9]
I light year = 9.46 x 10¹² km

-------------------------------------------------------------------------------------
Find the number of light years
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\text {Number of light years = } \dfrac{6.8 \times 10^{13}}{9.46 \times 10^{12}}

\text {Number of light years = } 7.18

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Answer: The distance from Earth to the star is 7.18 light-years.
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8 0
3 years ago
Read 2 more answers
PLEASE HELP.. How do you do this?
juin [17]

Answer:

Step-by-step explanation:

(7x-5)(6x+10)=0

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82x = 50

x = 50/82

3 0
3 years ago
Calculate the principal if the maturity value is $4,500 and the simple interest is $350.
suter [353]

Answer:

The principal is $4,150.

Step-by-step explanation:

We have to find the principal if the maturity value is $4,500 and the simple interest is $350.

<u>As we know that the formula for calculating the final amount or maturity amount is given by;</u>

Amount = Principal + Interest

Here, Simple interest = $350

Amount or Maturity value = $4,500

So, the Principal = Amount - Interest

Principal = $4,500 - $350

               = $4,150

Hence, the principal if the maturity value is $4,500 and the simple interest is $350 is $4150.

4 0
3 years ago
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