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Genrish500 [490]
3 years ago
8

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

Mathematics
2 answers:
jenyasd209 [6]3 years ago
8 0

Answer:

Equilateral triangle will always have a perpendicular bisector that is also an angle bisector.

Step-by-step explanation:

Equilateral triangle property:

  • All sides of the equilateral triangle are equal.
  • Angle of every equilateral triangle are equal to 60°.
  • Every altitude of an equilateral triangle is also a median and a bisector.
  • Each median is also an altitude and a bisector.
  • Each bisector is also an altitude and a median.

Therefore, by equilateral triangle property;

Perpendicular bisectors are angle bisectors in an equilateral triangle Since, all sides and angles are the same in an equilateral triangle.

Also, the angle bisector of an equilateral triangle forms 90 degree angle with the opposite side and bisects that side.

MariettaO [177]3 years ago
4 0
That would be an Equilateral Triangle.

Hope this helped! :))
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What are the properties of 8×51
Verdich [7]
8×51 = 8 ×(50+1)=8×50+8×1=400+8=408
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3 years ago
Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15. Is Rectan
sergeinik [125]

Rectangles are similar figures, thus if scaled copies of each other then the ratios of corresponding sides must be equal

compare ratios of lengths and widths

rectangles A and B

k = \frac{12}{15} = \frac{4}{5} ← ratio of lengths

k = \frac{8}{10} = \frac{4}{5} ← ratio of widths

scale factors are equivalent, hence rectangle A is a scaled copy of B

rectangles C and B

k = \frac{15}{30} = \frac{1}{2} ← ratio of lengths

k = \frac{10}{15} = \frac{2}{3} ← ratio of width

scale factors (k ) are not equal, hence C is not a scaled copy of B

rectangles A and C

k = \frac{30}{12} = \frac{5}{2} ← ratio of lengths

k = \frac{15}{8} ← ratio of widths

the scale factors are not equal hence A is not a scaled copy of C


4 0
4 years ago
19) Which one of the following expressions has the greatest value?
astra-53 [7]

Answer:

D.

Step-by-step explanation:

3-6-3-6×7=-48

3-7*(-3)-6=6

(3-7)×(-3)-6=6

(3-7)(-3-6)=36

4 0
3 years ago
Algebraically find the inverse of a function​
Savatey [412]

9514 1404 393

Answer:

  1)  f⁻¹(x) = 6 ± 2√(x -1)

  3)  y = (x +4)² -2

  5)  y = (x -4)³ -4

Step-by-step explanation:

In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.

__

1) x = f(y)

  x = (1/4)(y -6)² +1

  4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4

  ±2√(x -1) = y -6 . . . . square root

  y = 6 ± 2√(x -1) . . . . inverse relation

  f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form

__

3) x = √(y +2) -4

  x +4 = √(y +2) . . . . add 4

  (x +4)² = y +2 . . . . square both sides

  y = (x +4)² -2 . . . . . subtract 2

__

5) x = ∛(y +4) +4

  x -4 = ∛(y +4) . . . . . subtract 4

  (x -4)³ = y +4 . . . . . cube both sides

  y = (x -4)³ -4 . . . . . . subtract 4

6 0
3 years ago
Can someone help :))
katovenus [111]

Answer:

the first one, and the last one

Step-by-step explanation:

8 0
3 years ago
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