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Olegator
1 day ago
15

Which points are on the perpendicular bisector of the given segment? Check all that apply. Please explain how you got your answe

rs
(−8, 19)
(1, −8)
(0, 19)
(−5, 10)
(2, −7)

Mathematics
2 answers:
AnnZ [9K]1 day ago
7 0
The points that fit are (−8, 19), (1, −8), and <span>(−5, 10).</span>
Leona [9.2K]1 day ago
4 0
Initially, determine the perpendicular bisector equation for the specified line. 
This requires both the slope of the perpendicular line and a point.
Step 1: Calculate the slope of the given line segment using the endpoints (10, 15) and (-20, 5), resulting in m=(15-5)/(10-(-20))=1/3
thus, the slope of the perpendicular line is its negative reciprocal, m=-3/1=-3 
Step 2: Identify the midpoint as: x=(-20+10)/2=-5, y=(15+5)/2=10      (-5, 10)
therefore, the equation for the perpendicular line in point-slope form is (y-10)=-3(x+5)

subsequently, substitute the given coordinates into the equation to discern which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, confirming that (-8, 19) is on the perpendicular line. 

Examine the other pairs, and you’ll find that (1,-8) and (-5, 10) also satisfy the equation. The point (-5,10) is the midpoint. 

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The three equivalent numerical expressions are:

(0.0004). (0.005) = (\frac{4}{10000}).(\frac{5}{1000})

(0.0004). (0.005)= (\frac{1}{2500}).(\frac{1}{200})

(0.0004). (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})

Solutions to create three numerical expressions equivalent to (0.0004). (0.005)

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3 days ago
Each leg of a 45°-45°-90° triangle measures 12 cm. Triangle X Y Z is shown. Angle X Y Z is a right angle and angles Y Z X and Z
babunello [8412]
Using the Pythagorean theorem: In a right triangle where legs are labeled a and b, and hypotenuse is c. Given the triangle ΔXYZ has a right angle at Y, with angles YZX and ZXY both measuring 45 degrees, and ZY = YX = 12 cm. The task is to find the length of XZ.
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10 days ago
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Find the measure of x. Line PU has points R and S between points P and U, lines QR and ST are parallel, line QR intersects line
Leona [9267]

Response:

  • Solution for x is 1

Detailed explanation:

Line PU acts as a transversal intersecting parallel lines QR and ST

The angles PRQ and UST sum to 180 degrees

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Value of expression 6 3/4(-11.5)
Inessa [8997]

Answer:

6 * 3/4 = 4.5 = 9/2 = 412

Step-by-step

6 * 3/4 = 6/1  3*4 = 18/4 = 9/2

2 · 2 = 9/2

Both the numerators and denominators are to be multiplied. Retain the resulting fraction with the lowest possible denominator; GCD(18, 4) = 2. In this intermediate calculation, cancelling by the common factor of 2 results in 9

2

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In summary - six times three quarters equals nine halves.

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29 days ago
El área de una propiedad en metros cuadrados, mide 704/5. Se construye una casa que ocupa 5/6 del área total. La mitad del área
tester [8820]

Answer:

The remaining area available for construction is \frac{704}{60}\ m^{2}

Step-by-step analysis:

The inquiry in English reads

The total area of a property, measured in square meters, amounts to 704/5. A house is constructed occupying 5/6 of this area. Half of the leftover space is utilized for a terrace; thus, how much area remains for additional construction?

We know that

The total area is represented by the fraction 6/6

A house accounts for 5/6 of the entire area

Thus, the remaining area is (6/6)-(5/6)=1/6 of the overall area

If half of this leftover area is designated for a terrace

then

the terrace occupies (1/6)/2=1/12 of the total area

consequently,

The area remaining for construction is 1/12 of the total area

therefore

(\frac{1}{12})\frac{704}{5} =\frac{704}{60}\ m^{2}

8 0
25 days ago
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