Define bisect and midpoint. Using constructions, draw and label an angle bisector and a perpendicular bisector. Show segment addition postulate and angle addition postulate with examples of solving for a variables

Answer:

111.75 degrees

Step-by-step explanation:

EDF = cos^-1((b²+c²-a²)/2bc)

EDF = cos^-1((10.4²+19.6²-13.2²)/2(10.4)(19.6))

EDF = 111.75 degrees

Answer:

Slope = 8

Y-intercept = (0, 9)

Step-by-step explanation:

Slope-intercept form of an equation :

Therefore, on comparing with the given equation :

Answer:

there are 120 slices of orange.

Step-by-step explanation:

The reason for this is because if theres 10 slices per orange, and there is 12 oranges, you multiply 10x12 and you get 120 slices.

Answer:

  7/2 ≤ x < 4

Step-by-step explanation:

When an increasing function is applied to both sides of an inequality, their order does not change. We can solve the given inequality as though the square root symbol were not present.

__

  5 -x > 2x -7

  12 > 3x . . . . . add x+7

  4 > x

The domain of f(x) requires that its argument be non-negative.

  5 -x ≥ 0   ⇒   x ≤ 5

  2x -7 ≥ 0   ⇒   x ≥ 7/2

Together with the domain restriction on f(x), the solution to the inequality is ...

  7/2 ≤ x < 4

Answer:

(- 0.9)³

Step-by-step explanation:

(- 0.9) × (- 0.9) × (- 0.9)

= (- 0.9)³

Answer:D

Step-by-step explanation:

Answer:

$102.00

Step-by-step explanation:

Simply multiply 68 by 50 percent

68 × 50% or 68 × .5 = 34

so . .

Add 68 + 34 = 102  

An expression is defined as a set of numbers, variables, and mathematical operations. The value of x is 3.48.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The solution of the expression (x+3)²=41 can be found as shown below,

(x+3)²=42

(x+3)=√42

x+3=6.48

x = 3.48

Hence, the value of x is 3.48.

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Answer:

14th term

Step-by-step explanation:

12÷10 = 1.2

14.4÷12 = 1.2

17.28÷14.4 = 1.2

Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’

We call it (Vn)

The general term of the sequence:

Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹

To determine the term at which the sequence exceeds 100 we have to solve the equation:

Vn ≥ 100

⇔ 10×(1.2)ⁿ⁻¹ ≥ 100

⇔ (1.2)ⁿ⁻¹ ≥ 100/10

⇔ (1.2)ⁿ⁻¹ ≥ 10

⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)

⇔ (n-1)×ln(1.2) ≥ ln(10)

[tex]\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}[/tex]

[tex]\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14[/tex]

Verification:

[tex]V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072[/tex]

Answer: 12.6%

Step-by-step explanation:

403,200/3,200,000 = 0.126

0.126 = 12.6%

Answer:

1. 84º

Step-by-step explanation:

1. CEB = 180º - 96º

  CEB = 84º

you do the rest

Answer:

See below ~

Step-by-step explanation:

Finding x-intercept

Finding y-intercept

Graph (with points marked)

Step-by-step explanation:

[tex]2x - 5y = 10 \\ 2x = 10 - 5y \\ x = \frac{10 - 5y}{2} [/tex]

when y=0,-2,2,-4,4

then x=5,10,0,15,-5,

Yes

Step-by-step explanation:

Because the sides of this triangle follow the Pythagorean Theorem.

i.e.

[tex]52^{2} = {20}^{2} + {48}^{2} [/tex]

[tex]\boxed{\textbf{Therefore it IS a right triangle}} [/tex]

The value for c is 36 which completes the square for the quadratic x² + 12x + c.

The polynomial having a degree of 2 is termed as the quadratic equation.It means that the equation will have the maximum power of 2.

Here we have the equation

=x²+12x+c

=x^2+12x+36

=x^2+6x+6x+36

=x(x+6)+6(x+6)

=(x+6)(x+6

=(x+6)²

hence value for c is 36 which completes the square for the quadratic x² + 12x + c.

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Answer:

But it not a prime number :( maybe divide

Step-by-step explanation:

Answer:

Somewhere between 12 and 13, perhaps 12.25

Step-by-step explanation:

This is a (rather) simple explanation:

Look for 2 square numbers that are either side of 150

In this case, it is 144 and 169

The square root of 144 is 12 and the square root of 169 is 13

Therefore we can estimate that the square root of 150 is somewhere between 12 and 13.

As 150 is a lot closer to 144 to 169, I would estimate around 12.25 but you do not need an exact value :)

Step-by-step explanation:

optically, they are congruent.

so, it must be a reflection followed by a translation.

there is no 90° rotation. and the result cannot be created only by a reflection.

Answer:

See below ~

Step-by-step explanation:

Based on the Ideal Gas Equation,

Using T :

Using P :

He can do this either by changing the temperature to 150 kelvins or by changing the pressure to 200 kilopascals.

Answer:

45.6 x 10^3

Step-by-step explanation:

76 can be expressed as 7.6 x 10^1.

Now, you can multiply the two values together.

7.6 x 6.0 is 45.6.

Then, add the two exponents together:

1 + 2 = 3

45.6 x 10^3

Answer:

Step-by-step explanation:

Answer:

Exact Form:

- 31/80

Decimal Form:

-0.3875

Step-by-step explanation:

hope this helps

sorry if wrong

Answer:

-0.3875

Step-by-step explanation:

Pa Brainless

Answer:

754 divided by 13= 58

I hope this Helps! ;)

Answer:

You find the volume of a cylinder with the formula of π × r² × h

Answer:

Here is the long division

Step-by-step explanation:

Answer:

it's option B 42,938

Step-by-step explanation:

in the question the value of 2 in 135,284 is 200

200× 10 =2000

therefore the number with 2 in thousands place is option B 42,938

Answer:

The surface area of this cylinder is  1168.67

Step-by-step explanation:

To find the surface area of a cylander use this formula

Plug in

Answer is 1168.67