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ECH is an acute angle.

FCG is also an acute angle.

Answer:

Vertical angles

Step-by-step explanation:

Vertical angles are angles formed by two intersecting lines, which the angles are facing the opposite direction. Also the angles are on the same vertice (point).

Answer:

90°

Step-by-step explanation:

If E=F, and E is the complement to F, they must both be 45 degrees.

2x45=90

180-90=90

Answer: x^2+2x-8<0

Step-by-step explanation:

A. x^2 - 2x - 8 < 0

(x - 4)(x + 2) < 0

B. x^2 + 2x - 8 < 0

(x + 4)(x - 2) < 0

C. x^2 - 2x - 8 > 0

(x - 4)(x - 2) > 0

D. x^2 + 2x - 8 > 0

(x + 4)(x - 2) > 0

When you test a point in the interval between -4 and 2, for example 0, it is negative.

[tex]x^2+2x-8 < 0[/tex] represents the given solution set.

A mathematical expression in which left hand side is not equal to right hand side is known as inequality.

The given solution set is x>-4 and x<2

Option A: [tex]x^2-2x-8 < 0[/tex]

(x+2)(x-4)<0

x<-2 and x<4

Option B: [tex]x^2+2x-8 < 0[/tex]

(x-2)(x+4)<0

x<-4 and x<2

Option C: [tex]x^2-2x-8 > 0[/tex]

(x+2)(x-4)>0

x>4 and x>-2

Option D: [tex]x^2+2x-8 > 0[/tex]

(x-2)(x+4)>0

x>-4 and x>2

Hence, [tex]x^2+2x-8 < 0[/tex] represents the given solution set.

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Answer:

x = (√6/√5) - 1

Step-by-step explanation:

- 10 x = 5x^2 -1

can be written as

5x² + 10x - 1 = 0

completing the square method :

for quadratic equation of the format ax² + bx + c = 0 ,

step 1, divide equation by a

therefore. dividing the equation by 5

=> x² + 2x - (1/5) = 0

=> x² + 2x = 1/5

c - 2b/4 = -1/5 - (2(2)/4) = -(6/5)

b/2 = 1

=> x² + 2x +1 = 6/5

=> (x + 1)² = 6/5

=> x = (√6/√5) - 1

Answer:

m∠2=65

Step-by-step explanation:

They are corresponding angels which means they are congruent.

Answer:

Step-by-step explanation:

2x + 1 + x + 23 = 180

3x + 24 = 180

3x = 156

x = 52

2(52) + 1 = 104 + 1 = 105

52 + 23 = 75

Answer:

2√6cm

Step-by-step explanation:

Area = L×L

A=L2

24 =L2

√24 =√L2

2√6= L

:.L =2√6.cm.

Answer:

¾x + 7

Step-by-step explanation:

"The sum of": Addition expression

"¾ of a number": ¾x

"and 7": + 7

Combine them all and you get ¾x + 7

Answer:

A. -2, x= -2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given

- 12x - 2(x + 9) = 5(x + 4) ← distribute parenthesis on both sides )

- 12x - 2x - 18 = 5x + 20 , that is

- 14x - 18 = 5x + 20 ( subtract 5x from both sides )

- 19x - 18 = 20 ( add 18 to both sides )

- 19x = 38 ( divide both sides by - 19 )

x = - 2 → A

The tree grows linearly, then the tree grows each year will be 20 inches.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The height of a tree is 38 inches.

After 4 years, the height is 9 feet 10 inches.

1 ft = 12 inches

9 ft = 180 inches

Then 9 ft and 10 inches will be

→ 108 + 10

→ 118 inches

The tree grows in 4 years and will be

→ 118 - 38

→ 80 inches

Let the tree grows linearly, then the tree grows each year will be

→ 80 / 4

→ 20 inches

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Answer:

Exercise, 8 hrs of sleep, healthy diet with lots of fruits and vegetables are all good for your health

Step-by-step explanation:

Answer:

  A) inches: 1.5, 1.2, 3.0, 3.9

  B) km 72, 46.25, 340, 101.5

Step-by-step explanation:

A) To find the distance in inches, divide by 10 miles:

  15 miles ⇒ 1.5 inches

  12 miles ⇒ 1.2 inches

  30 miles ⇒ 3.0 inches

  39 miles ⇒ 3.9 inches

__

B) To find the distance in km, multiply the map distance by 5.

  14.4 in ⇒ 72 km

  9.25 in ⇒ 46.25 km

  68 in ⇒ 340 km

  20.3 in ⇒ 101.5 km

The probability of an event is a number from 0 to 1 that measures the chance that an event will occur. In this lesson, we will look into experimental probability and theoretical probability.

The following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.

he following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.

Experimental vs Theoretical Probability

How to find the Experimental Probability of an event?

Step 1: Conduct an experiment and record the number of times the event occurs and the number of times the activity is performed.

Step 2: Divide the two numbers to obtain the Experimental Probability

How to find the Theoretical Probability of an event?

The Theoretical Probability of an event is the number of ways the event can occur (favorable outcomes) divided by the number of total outcomes.

Answer:

7.5

Step-by-step explanation:

It is greater because it is closer to 8.

Answer:

-2x/100 + 35

Step-by-step explanation:

Step 1:

12x ÷ 100 + 35,000 - 14x ÷ 100

Step 2:

- 2x ÷ 100 + 35,000 ÷ 100

Step 3:

- 2x ÷ 100 + 35

Answer:

- 2x/100 + 35

Hope This Helps :)

Answer:

110 Degrees

Step-by-step explanation:

Subtract 150 from 40

Answer: First choice. ECFBDA

Explanation:

The answer choices list either step E or step F first.

It turns out that step E must come first because we place the compass on the original angle ABC to help copy this angle.

The arc formed on angle ABC intersects the two rays as described in step E. Those two intersection points are labeled point D and point E, which is what step C describes. So C must be the next step.

Therefore the correct sequence is ECFBDA.

ECFBDA is the correct order of steps for bisecting angle ABC.

"Angle bisector is defined as the ray which divides an angle into two equal measures."

According to the question,

Rearrange the given statements in correct order of steps for angle bisector.

E. Place the compass on point B, and swing an arc that intersects rays BA and BC.

C. Place point D on the intersection of the arc on ray BA and point E on                                                

    the intersection of the arc with ray BC.

F. Place the compass on point D, and draw an arc inside the angle.

B. Keeping the compass the same distance , place the compass on point

    E. draw an arc inside the angle.

D.  Place point F on the intersection of the arcs created from points D

     and E.

A. Draw a ray from point B through point F.

Hence, ECFBDA is the correct order of steps for bisecting angle ABC.

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Answer:

20 weeks

Step-by-step explanation:

35+5=40

40/2=20

Answer:

88

Step-by-step explanation:

if the decimal is below 5 then round down

Answer:

88

Step-by-step explanation:

2 is less than 5, therefor it would be rounded to 88. If a number higher than five or five was in two's place it would be rounded to 89.

Answer:

It is C

Step-by-step explanation:

Got it right in edg

Answer:

A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. This means that after 5,730 years, only half of the original amount of carbon-14 will remain.  Which equation can be solved to determine the age of the charcoal?

C on edg

Step-by-step explanation:

Answer:

0.00484

Step-by-step explanation:

Answer:

-1 1/5

Step-by-step explanation:

Answer:

[tex]4n = 24[/tex]

Step-by-step explanation:

Given

[tex]Cars = 4[/tex]

[tex]Empty = 3[/tex]

[tex]Occupied = 21[/tex]

Required

Determine an equation to find number of seats

Let the number of seats in each car be represented by n;

If [tex]1\ car = n[/tex]

Then:

[tex]4\ cars = 4 * n[/tex]

[tex]4\ cars = 4 n[/tex]

This implies that there are 4n total seats

Solving further:

[tex]Occupied\ Seats + Empty\ Seats = Total[/tex]

Substitute values for the above parameters:

[tex]21 + 3 = 4n[/tex]

[tex]24 = 4n[/tex]

Reorder

[tex]4n = 24[/tex] ---- This equation can be used to solve for n

Answer:

y= 1/4x + 8

comparing with

y= mx + c

slope = 1/4

for y intercept x=0

y=8

Step-by-step explanation:

The slope of the line is 1/4, The y-intercept is 8.

In the equation y = (1/4)x + 8, the coefficient of x is 1/4. This coefficient represents the slope of the line.

Therefore, the slope of the line is 1/4.

The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.

In this equation, the y-intercept is the value of y when x is 0. By substituting x = 0 into the equation, find the y-intercept.

y = (1/4)(0) + 8

= 0 + 8

= 8

Hence, the y-intercept is 8.

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Answer:

[tex]y=\frac{3}{2}x-\frac{15}{2}[/tex]

Step-by-step explanation:

Use the point-slope formula [tex]y-y_{1}=m(x-x_{1})[/tex]

First you have to find m with the formula [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

[tex]m = \frac{9 - 6}{11 - 9} = \frac{3}{2}[/tex]

Choose whichever point you want as [tex](x_{1}, y_{1})[/tex], in this case I'll choose [tex](9, 6)[/tex]

[tex]y - y_{1} = m(x - x_{1})\\y - 6 = \frac{3}{2} (x - 9)\\y - 6 = \frac{3}{2}x - \frac{27}{2} \\y = \frac{3}{2}x - \frac{27}{2} + 6\\y = \frac{3}{2}x - \frac{15}{2}[/tex]

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where [tex]w[/tex] is the width and [tex]l[/tex] is the length.

The perimeter of a rectangle is twice its length added to twice its width.

[tex]2l+2w=22[/tex]

The length is 3 more than the width:

[tex]l = w+3[/tex]

We can now substitute in [tex]w+3[/tex] as [tex]l[/tex] in the equation [tex]2l+2w=22[/tex].

[tex]2(w+3) + 2w = 22[/tex]

Distribute the first terms:

[tex]2w+6+2w=22[/tex]

Combine like terms:

[tex]4w+6=22[/tex]

Subtract 6 from both sides:

[tex]4w=16[/tex]

Divide both sides by 4:

[tex]w = 4[/tex]

Now we know that w = 4. We can now substitute this inside an equation to find [tex]l[/tex].

[tex]l = w+3\\\\l = 4+3\\\\l=7[/tex]

Hope this helped!

Answer:

What the other guy said XDDDDDDDDDD

Step-by-step explanation:

I'm awesome =D

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line given a point and slope we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-2,-2) and slope = 1/2

The equation of the line is

[tex]y + 2 = \frac{1}{2} (x + 2) \\ y + 2 = \frac{1}{2} x + 1 \\ y = \frac{1}{2} x + 1 - 2[/tex]

We have the final answer as

[tex]y = \frac{1}{2} x - 1[/tex]

Hope this helps you