In the diagram below of triangle ABC,
D is the midpoint of AC and E is the
midpoint of BC. If DE = 34 - 6x,
and AB = 28 - 4x, what is the measure
of DE?
A
Answer:
DE =
Submit Answer
D
C
E
B

The probability of getting all heads when flipping a coin four times is 1/16.

(HHHH), (HHHT), (HHTH), (HHTT), (HTHH), (HTHT), (HTTH), (HTTT), (THHH), (THHT), (THTH), (THTT), (TTHH), (TTHT), (TTTH), (TTTT) are some examples of spaces.

There were 16 total outcomes.

Probability going out of control

HHHH P(A) = P(getting all heads) = 1/16

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The correct answer to reflection of hexagon  is Option B

y=x, x-axis, y=x, y-axis

What is hexagon?

6-sided polygon is called hexagon , it is type of polygon( a plane figure made up of lines).

Main body:

using point B(−3,1)

Across the line y=x(x,y)→(y,x)

so we get (1,−3)

Across the x-axis (x,y)→(x,−y)

we get (1,3)

Across the line y=x(x,y)→(y,x)

we get (3,1)

Across the y-axis (x,y)→(−x,y)

we get (−3,1)

Hence the option B is correct.

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The length of the guys wire to the nearest foot is 56 feet.

The pole 5 ft tall is used to support the guy wire for the tower, which runs from the tower to a metal stake in the ground.

The situations forms a right angle triangle.

Therefore, the length of the guy wire can be found as follows:

Using trigonometric ratios, we can find the angle the guy wire made with the ground.

tan ∅ = opposite / adjacent

tan ∅ = 5 / 1

∅ = tan ⁻¹ 5

∅ = 78.690067526

∅ = 78.69°

Therefore, let's find the length of the guy wire using the angle.

cos 78.69° =  adjacent / hypotenuse

0.1961172908 = 11 / h

h = 11 / 0.1961172908

h = 56.088884361

Therefore,

length of the guy wire = 56 feet

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The given system of equations has no solution.

What is substitution method?

In order to solve a system of equations, the substitution approach is typically utilized in mathematics. The first equation involving the variable must be solved using this procedure before the variable's value is substituted in the second equation.

Consider, the given system of equations,

y + 7 = 3x          ..(1)

6x - 2y = 12             ..(2)

From equation (1),

y = 3x - 7.

Substitute value of (y) in inequation (2),

6x - 2(3x - 7) = 12

6x - 6x - 14 = 12

            -14 = 12

It is not possible to solve -14 = 12.

Therefore, the given system of equations has no solution.

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Answer:

39%

Step-by-step explanation:

The percentage increase per year, assuming that the number of lions increased by the same percentage each year is 20%.

Given that, there were 500 lions in an African nature reserve. 3 years later there were 864 lions in the same nature reserve.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the percentage increase per year be x.

a) According to the question,

500(1+x)³=864

⇒ (1+x)³=864/500

⇒ (1+x)³=1.728

⇒ 1+x= 1.2

⇒ x =0.2

In percentage 20%

b) [tex]500(1+0.2)^1[/tex]

= $600

Hence, the percentage increase per year, assuming that the number of lions increased by the same percentage each year is 20%.

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The value of x is 6.67 degrees.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

The (5x + 9)° angle on line m and the (7x -  9)° angle on line n are corresponding angles.

We have given that Line m and Line n are parallel.

t line is the transversal line on the two parallel lines, line m and line n.

We see that,

(5x + 9)° angle on line m is corresponding to the  (7x -  9)° angle on line n.

So,

(5x + 9)° +  (7x -  9)° = 180

12x = 180

x = 80 /12

x = 6.67

Thus, The value of x is 6.67 degrees.

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The train will travel for approximately 50 kilometres in 1 hours.

The train travels 1 kilometre in 1 minute 20 seconds.

At this rate the number of kilometres the train will travel in 1 hour can be calculated as follows;

Therefore, lets convert 1 minutes and 20 second to hours.

20 seconds = 0.333333 minutes

Hence,

60 minutes = 1 hour

1.33333 minutes = ?

cross multiply

time in hours = 1.3333 / 60

time in hours = 0.02222221666

Therefore,

0.02 hours = 1 km

1 hours = ?

number of kilometres the train will travel in 1 hours = 1 / 0.02 = 50 km

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The number of sticks in the sixth and nth patterns will be 32 and 5n + 2, respectively.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

In the first pattern, the number of sticks is 7. Then in each succession of the pattern, 5 sticks are added, then the number of sticks in the nth pattern will be given as,

aₙ = 7 + (n - 1) × 5

aₙ = 7 + 5n - 5

aₙ = 5n + 2

The number of sticks in the 6th pattern will be calculated as,

a₆ = 7 + (6 - 1) × 5

a₆ = 7 + 5 × 5

a₆ = 7 + 25

a₆ = 32

The number of sticks in the sixth and nth patterns will be 32 and 5n + 2, respectively.

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Answer:

Let h = number of hours.

[tex]20 + 5h = 10 + 10h[/tex]

[tex]4 + h = 2 + 2h[/tex]

[tex]4 = 2 + h[/tex]

[tex]h = 2[/tex]

In 2 hours, we will have the same amount of money.

Answer:

Step-by-step explanation:

first up, the perimeter is 4 side added up. so we do 72/4= which equals 18. we need to apply the 6 to the sides so we do 6/2=3 18/3=15 f=15 18+3= 21 one side is 15 & the other side is 21 to double check, 21+15*2= 72

Answer:

false

Step-by-step explanation:

question 4

0. 25 points

if py increases to 6 the vertical intercept will be the same and the slope will be steeper

The number she divides the 1572 and got an answer of 104, the remainder of 12 is 15.

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

The dividend = 1572,

The quotient = 104,

The reminder = 12

Calculate the divisor by the following formula,

Dividend = Divisor × quotient + Reminder

Substitute the values,

1572 = Divisor × 104 +12

Divisor = 15

Therefore, the number she divides the 1572 and got an answer of 104, the remainder of 12 is 15.

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Answer:1 3/5

Step-by-step explanation:

All you have to do is we take quotient 1 as a whole part and in the fractional part remainder 1 as the numerator, and divisor 5 as the denominator.

Answer:1 3/5

Step-by-step explanation: 8/5-5/5= 3/5 so that leaves you with 1 3/5

Answer:

y = 4x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

here m = 4 , then

y = 4x + c ← is the partial equation

to find c substitute (2, 9 ) into the partial equation

9 = 8 + c ⇒ c = 9 - 8 = 1

y = 4x + 1 ← equation of line

The ratio of time that the red ball reaches the ground when compared with the green ball is 2:1

By using the equations of motion we first find the acceleration and time of both the balls using [tex]v^{2} -u^{2} =2as[/tex] and [tex]v=u+at[/tex]

where,

v=final velocity,

u=intial velocity,

a=acceleration,

s=height,

t=time

For the red ball,[tex]v^{2} -u^{2} =2as[/tex], v=4m/s, u=0m/s, s=3m by substitiuting in the equation we get ,

[tex]4^{2} -0^{2} =2*a*3[/tex],

acceleration=a=16/6=8/3,

[tex]v=u+at[/tex] by substituting we get,

4=0+8/3*t,

time taken by the red ball to reach ground t=3/2

For the green ball,[tex]v^{2} -u^{2} =2as[/tex], v=8m/s, u=0m/s, s=3m by substituting in the equation we get ,

[tex]8^{2} -0^{2} =2*a*3[/tex],

acceleration=a=64/6=32/3,

[tex]v=u+at[/tex] by substituting we get,

8=0+32/3*t,

time is taken by the green ball to reach ground t=3/4

and their ratio of time red ball/green ball=(3/2)/(3/4)=2/1,

hence time to reach the ground is independent of their mass

therefore, the ratio of time that the red ball reaches the ground when compared with the green ball is 2:1

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Answer:

19 1/4

Step-by-step explanation:

1 3/4 × 11 = 7/4 × 11/1 = 77/4 = 19 1/4

If the side lengths of the state flag of Michigan are in the ratio 4:7. when the flag is 28 feet long the height will be 49 feet

The height of the flag is calculated using the scale factors,  4 : 7

if 4 is equivalent to 28 what would 7 be

4 / 7 = 28 / ?

4 * ? = 7 * 28

? = 7 * 28 / 4

? = 49 feet

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Answer:

3.57 × 10⁹

Step-by-step explanation:

Scientific Notation:

*Note: Your problem is already in scientific notation.

Answer: 3,570,000,000

Step-by-step explanation:

Your problem is already in scientific notation but if you are trying to turn it into a standard form, then that is the answer

Answer:

last one: 20

Step-by-step explanation:

4 divided by 5 is 0.8

so is 20 divided by 25

The first mechanic worked 20 hours and the second mechanic worked 5 hours

The work charge of first mechanic = $115 per hour

The  work charge of second mechanic = $55 per hours

Total number of hours they worked = 25 hours

The total amount they charged = $2575

Consider the number of hours that first mechanic work as x and second mechanic as y

Then the equations will be

x + y = 25

x = 25 -y

The second equation

115x + 55y = 2575

Here we have to use substitution method here

115(25-y) + 55y = 2575

2875 - 115y +55y = 2575

2875 -60y = 2575

60y = 2875 - 2575

60y = 300

y = 300 / 60

y = 5 hours

Then x = 25 - y

= 25 -5

= 20 hours

Hence, the first mechanic worked 20 hours and the second mechanic worked 5 hours

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Answer:

84 counters

Step-by-step explanation:

⅖ + ½ = 7/10

10 - 7 = 3

280 ÷ 10 × 3 = 84

Answer:

28

Step-by-step explanation:

1/2×280=140(red counters)

2/5×280=112(yellow counters)

140+112=252

280-252=28(green counters)

The distance the plane traveled from point A to point B is 10952 feet approx.

To solve this we have to use the Pythagoras theorem.

Given that the plane is at a constant height which can be supposed as the perpendicular (i.e 5750 feet) for the triangle which the plane , ground and the makayla make.

Now when the plane is at the A point then the angle of the elevation is 16°, so the distance from the makayla the plane  is :

tanθ = P/B,

B(distance of makayla to plane on ground at point A) = P/tanθ ,

B = 5750 / tan 16°,

B = 5750/ 0.28;

B1 = 20535 feet approx

Similarly when the plane reach at the point B then the angle of the elevation is 31° then the distance from the makayla and the plane would be different, which will be :

tanθ = P/B,

B(distance of makayla to plane on ground at point B) = P/tanθ ,

B = 5750 / tan 31°

B = 5750 / 0.6

B2 = 9583 feet approx

now the distance traveled by the plane is B1 - B2 :

which is 20535  - 9583

10952 feet approx

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Answer:10483

Step-by-step explanation:

the probability that the mean tire pressure of the sample is less than 69 psi 0.2030

The formula of the z-score is z = (x - μ)/σ, where

x is the score

μ is the mean

σ is the standard deviation

given,

a mean of 70 pounds per square inch

μ = 70

the standard deviation of 1.2 psi.

σ = 1.2

the sample is less than 69

x=69

so on substituting

z=(69-70)/1.2

z=-1/1.2

z=-0.83

The value corresponding to the z score is 0.2030 i.e 20.30%

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Answer:

9.34 billions of pounds

Hope that helps ;)

a) The lower bound of the length of the line is 12.12

b) The upper bound of the length of the line is 12.25

What is a lower bound?

The least value that would round up to the predicted value is the lower bound. The smallest value that would round up to the following anticipated value is the upper bound.

What is an upper bound?

A value that is greater than or equal to every element of a set of data.

What is the difference between the lower and upper bound?

An element of K that is greater than or equal to each element of S is known in mathematics as an upper bound or majorant of the subset S of some preordered set (K, ), especially in order theory. In addition, each element of K that is less than or equal to each element of S is characterized as a lower bound or minorant of S.

Here,

We have to find the lower bound and upper bound of 12.2

We get a lower bound = 12.12

and upper bound = 12.25

Hence, a) The lower bound of the length of the line is 12.12

b) The upper bound of the length of the line is 12.25

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If an urn contains two red balls and three white balls and a ball is chosen at random, then the probability of getting white ball is 3/5

The number of red balls = 2 balls

The number of white balls = 3 balls

Total number of balls = 2 + 3

= 5 balls

The probability = Number of favorable outcomes / Total number of outcomes

Number of favorable outcomes = Number of white balls = 3

Total number of outcomes = 5

The probability = 3/5

Hence, if an urn contains two red balls and three white balls and a ball is chosen at random, then the probability of getting white is 3/5

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A statement of the equation could be as; "John bought y oranges which are 5 times the apples more than 3".

An equation is an expression that shows the relationship between two or more numbers and variables.

The information provided is that the real-world situation in which opposite quantities combine to make zero.

We have been given an equation as y = 5x + 3

A statement of equation could be as; "John bought y oranges which are 5 times the apples more than 3".

If the number of apple x is 6 then;

y = 5x + 3

y = 5(6) + 3

y = 33

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8 ounces for $1.47. It comes out to $0.07 per ounce compared to $0.12 per ounce.

Answer:Rite aid

Step-by-step explanation:

8 ounces for $1.47. It comes out to $0.07 per ounce compared to $0.12 per ounce.