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NemiM [27]
1 year ago
5

Help please asap geometry

Mathematics
1 answer:
zvonat [6]1 year ago
4 0

The solutions for each case are listed below:

  1. x = 65
  2. x = 35
  3. (x, y) = (48, 21)
  4. (x, y) = (15, 8)
<h3>How to solve on systems of linear equation by taking advantage of angle relationships</h3>

In this problem we must solve algebraic equations by taking advantage of angle properties. Now we proceed to solve the variables for each case:

Case 1 - Opposite angles

2 · x - 10 = 120

2 · x = 130

x = 65

Case 2 - Opposite angles

2 · x + 25 = 3 · x - 10

25 + 10 = 3 · x - 2 · x

35 = x

x = 35

Case 3 - Opposite angles generated by two perpendicular lines

2 · y + 50 = x + 44                      (1)

5 · y - 17 = 7 · x - 248                 (2)

- x + 2 · y = - 6

7 · x - 5 · y = 231

x = 48, y = 21

Case 4 - Opposited angles generated by two perpendicular angles

6 · x = 90                     (3)

9 · y + 18 = 90              (4)

The solution to this system of linear equations is (x, y) = (15, 8).

To learn more on systems of linear equations: brainly.com/question/21292369

#SPJ1

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Use the number line below, where RS = 6y + 3, ST = 4y + 7, and RT = 60.​
Mama L [17]

Answer:

Step-by-step explanation:

RS + ST = RT

6y + 3 + 4y + 7 = 60

6y + 4y + 3 + 7 = 60

       10y + 10   = 60

                  10y = 60 - 10

                 10y = 50

                    y = 50/10

y = 5

RS = 6*5 + 3 = 30 +3 = 33

ST = 4*5 + 7 = 20 + 7 = 27

6 0
3 years ago
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Practice with Conversions
mylen [45]

Answer:

1) Newbury Park → The distance is accurate.

2) Thousand Oaks → The distance is not accurate.

3) Los Angeles → The distance is not accurate.

Step-by-step explanation:

It is important to remember that:

1\ mile=1.609\ kilometers

Knowing this, you can make the corresponding conversions:

1) Newbury Park

10 miles to kilometers:

(10\ mi)(\frac{1.609\ km}{1\ mi})=16.0\ km

The distance shown in that California highway sign is accurate.

2) Thousand Oaks

13 miles to kilometers:

(13\ mi)(\frac{1.609\ km}{1\ mi})=20.9\ km

The distance shown in that California highway sign is not accurate.

3) Los Angeles

55 miles to kilometers:

(55\ mi)(\frac{1.609\ km}{1\ mi})=88.4\ km

The distance shown in that California highway sign is not accurate.

3 0
3 years ago
If the point A is located at (-5,-3) and A’ is the image of A after being rotated about the origin by 270 (counter clockwise). W
Rom4ik [11]

Answer:

D (-3, 5)

Step-by-step explanation:

270 counter clockwise is the same as 90 clockwise.

For a 90° clockwise or 270° counter clockwise, take the opposite of the x coordinate then switch the coordinates.

(-5, -3) -----> (5, -3) ------> (-3, 5)

You can also rotate your screen 90° clockwise to see the new coordinates for A.

3 0
2 years ago
please please please help I’ll give the brain thing if you give a correct answer + explain thanks!!!:))
Andreyy89

Answer:

I think its 4 because all the other ones are adding half of the original number

16-24 adds 8

8-12 adds 4

1-1.5 adds .5

so if it's going to 6 it should be 4 adding 2

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2 years ago
The graph of y=x^2 -7x+ 12 is a parabola with x-intercepts at
vesna_86 [32]

Answer:

<h2>x = 3 and x = 4 → (3, 0) and (4, 0)</h2>

Step-by-step explanation:

\text{x-intercept is for y = 0}.\\\\\text{We have the function:}\ y=x^2-7x+12.\\\\\text{Put y = 0 and calculate the value(s) of x.}\\\\x^2-7x+12=0\\\\x^2-3x-4x+12=0\\\\x(x-3)-4(x-3)=0\\\\(x-3)(x-4)=0\iff x-3=0\ \vee\ x-4=0\\\\x-3=0\qquad\text{add 3 to both sides}\\\boxed{x=3}\\\\x-4=0\qquad\text{add 4 to both sides}\\\boxed{x=4}

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3 years ago
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