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3 years ago

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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25. Save the simultaneous equations 2x-y=4;x+y=5

Helen [10]

Answer:

x = 3

Step-by-step explanation:

2x - y = 4

x + y = 5

y = 5 - x

2x - (5 - x) = 4

2x + x - 5 = 4

3x = 9

x = 3

3 0

2 years ago

For better clarification I guess

marissa [1.9K]

Answer:

1.) $=\frac{\sqrt{3}}{3}$

2.) $42\sqrt{30}$

Step-by-step explanation:

1.) $\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{3}}{\sqrt{3}}$

2.) $\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{b}=\sqrt{a\cdot b}$

$\sqrt{6}\sqrt{5}=\sqrt{6\cdot \:5}$

6 0

3 years ago

Use the order of operations to evaluate -(3 2) 2 + 4 * 3 - 2

LenaWriter [7]

So first remember the order of operations. Parentheses, exponents, multiply, divide, addition, subtraction.

So we have the following problem.

-(3*2)2+4*3-2

Multiply the three and two inside the parentheses first.

-6*2+4*3-2

Next multiply any numbers that need multiplied.

-12+12-2

Next add and subtract from left to right to get an answer of...

-2

Hope this helps!

4 0

3 years ago

For the equation 2n - 3 = 7, what is the coefficient of the variable

scoray [572]

Answer:z

Then variable is n

Variable is an alphabet that depend on number. Then the variable there is n

And the coefficient of the variable is 2

The coefficient is the number behind a variable

And the value of the variable is

2n-3=7

Add 3 to both sides

2n-3+3=7+3

2n=10

Divide both side by 2

2n/2=10/2

n=5

4 0

2 years ago

Read 2 more answers

Consider the vector x: x <- c(2, 43, 27, 96, 18) Match the following outputs to the function which produces that output. Opti

Nookie1986 [14]

Completed Question

Outputs to be matched to the functions are:

1,2,3,4,5
1,5,3,2,4
1, 4, 3, 5, 2
2, 18, 27, 43, 96

Answer:

sort(x): 2, 18, 27, 43, 96
order(x): 1, 5, 3, 2, 4
rank(x) : 1, 4, 3, 5, 2
none of these : 1, 2, 3, 4, 5

Step-by-step explanation:

Given the vector x: x <- c(2, 43, 27, 96, 18)

Sort

In R, the sort(x) function is used to arrange the entries in ascending or descending order. By default, R will sort the vector in ascending order.

Therefore, the output that matches the sort function is:

sort(x): 2, 18, 27, 43, 96

Rank

The rank function returns a vector with the "rank" of each value.

x <- c(2, 43, 27, 96, 18)

2 has a rank of 1
43 has a rank of 4
27 has a rank of 3
96 has a rank of 5
18 has a rank of 2

Therefore, the output of rank(x) is: 1, 4, 3, 5, 2

Order

When the function is sorted, the order function gives the previous location of each of the element of the vector.

Using the sort(x) function, we obtain: 2, 18, 27, 43, 96

In the vector: x <- c(2, 43, 27, 96, 18)

2 was in the 1st position
18 was in the 5th position
27 was in the 3rd position
43 was in the 2nd position
96 was in the 4th position

Therefore, the output of order(x) is: 1, 5, 3, 2, 4

7 0

3 years ago