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NemiM [27]
2 years ago
5

Help please asap geometry

Mathematics
1 answer:
zvonat [6]2 years 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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The answer is 103 it's false
3 0
3 years ago
Can the lengths 15 cm, 4 cm, and the square root of 209 cm make a right triangle?
Dimas [21]

Answer: Yes they can

Step-by-step explanation:

Use Pythagoras rule c²=b²+a²

b²=209

c²=15²=225

a²=4²=16

209+16=225

6 0
3 years ago
the rectangular top of Kathleen's desk has a length of 24 inches and a width of 17 inches. What is the area of the top of Kathle
Olin [163]

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28

Step-by-step explanation:

7 0
3 years ago
Find the distance between points P(5, 1) and Q(1, 3) to the nearest tenth.
bonufazy [111]

Answer:

Idk if its multiple choice but you can do 1 of 2 ways theres using distance formula =√(5-3)sq+(1-4)sq

=√4+9

=√13 <--

or

3.6 units

Given: The two points that are P(5,1) and Q(3,4).

To find: The distance between these two points.

Solution: It is given that there are two points that are P(5,1) and Q(3,4).

The distance between these two points can be found out as using the distance formula that is: 3.6

Thus, the distance between the given two points is 3.6 units.

So you choose 13 or 3.6 Hope this helps :)

3 0
3 years ago
The edges of the diameter of a circle are at (-1,2) and (3,-1). Write the equation of the circle in general form.
Y_Kistochka [10]

Answer:

(x-1)²+ (y-0.5)²=6.25

Step-by-step explanation:

<u>The standard form of equation of a circle is;</u>

(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius

<u>Finding the mid-point of the given points</u>

(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)

midpoint= {1/2(-1+3), 1/2(2+-1)}

midpoint=(1,0.5)

<u>Finding the radius r; the distance from the center to either of the given two points</u>

Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²

Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then

d=√ (-1-1)² +(2-0.5)²

d= √ (-2)²+(1.5)²

d=√4+2.25⇒√6.25⇒2.5

r=2.5

<u>Equation of the circle</u>

(x-1)² + (y-0.5)²=2.5²

(x-1)²+ (y-0.5)²=6.25

3 0
3 years ago
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