Math help on questions #4 and #5

Angle G and Angle F are the same, which means that HF = GH

This means that x = 15

Answer:x=15

Step-by-step explanation:

Answer: The correct option is D.

Step-by-step explanation: We are given a linear equation:

[tex]m\times 5=30[/tex]

To calculate the value of , we need to separate m from the constant '5' which is done when 5 goes to the other side of the equation and gets divided there:

[tex]m=\frac{30}{5}\\\\m=6[/tex]

Conclusion: Hence, the value of m is 6 for the given equation.

Answer:

D) 154 feet

Step-by-step explanation:

The angle is less than 45°, so you know the distance will be more than 89 feet. There is only one choice in that range.

_____

The mnemonic SOH CAH TOA reminds you ...

... Tan = Opposite/Adjacent

so ...

... tan(30°) = (89 ft)/(distance to boat)

Then ...

... distance to boat = (89 ft)/tan(30°) ≈ 154 ft

Answer:

8  1/4

Step-by-step explanation:

Hey There!

The answer is going to be the answer is

mEFC=253°

To find the answer you must find the value of mEF  which is

mEF,mFEC,mDC,mED

You subtract each of them  and you should get 73.

Then  add 180 and your final choice should be 253

Answer:

253

Step-by-step explanation:

Answer:

First question answer: The limit is 69

Second question answer: The limit is 5

Step-by-step explanation:

For the first limit, plug in [tex]x=8[/tex] in the expression [tex](9x-3)[/tex], that's the answer for linear equations and limits.

So we have:

[tex]9x-3\\9(8)-3\\72-3\\69[/tex]

The answer is 69

For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value [tex]x=1[/tex] into the simplified expression to get the correct answer. Shown below:

[tex]\frac{x^2+8x-9}{x^2-1}\\\frac{(x+9)(x-1)}{(x-1)(x+1)}\\\frac{x+9}{x+1}[/tex]

Now putting 1 in [tex]x[/tex] gives us the limit:

[tex]\frac{x+9}{x+1}\\\frac{1+9}{1+1}=\frac{10}{2}=5[/tex]

So the answer is 5

Answer is C 18%

Step-by-step explanation:

The domain of the function for one week of work is all values of x that are less than or equal to 50.

The domain of a function represents the set of all possible input values for that function. In this situation, the function represents the daily cost of hiring a plumber for x hours of work, and the maximum number of hours the plumber works per week is 50. Therefore, for one week of work, the domain of the function is the set of all values of x that are less than or equal to 50.

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Answer:

The correct option is C.

Step-by-step explanation:

From the given figure it is noticed that the coordinates of B are (-5,-7).

If ABC is reflected across x = 1, then

[tex](x,y)\rightarrow(1-(x-1),y)[/tex]

[tex](x,y)\rightarrow(2-x,y)[/tex]

[tex](-5,-7)\rightarrow(2+5,-7)[/tex]

[tex](-5,-7)\rightarrow(7,-7)[/tex]

If ABC is reflected across y =-3.

[tex](x,y)\rightarrow(x,-3-(y-(-3)))[/tex]

[tex](x,y)\rightarrow(x,-6-y)[/tex]

[tex](7,-7)\rightarrow(7,-6-(-7))[/tex]

[tex](7,-7)\rightarrow(7,1)[/tex]

Therefore option C is correct.

Answer:

105

Step-by-step explanation:

first, the printer print 15  (75/5) pages per minutes,

next, 7×15=105

Answer:

The percent error of Jocelyn's estimate is 2.14 .

Step-by-step explanation:

Formula

[tex]Percentage\ error = \frac{Error\times 100}{exact\ value}[/tex]

Where

[tex]error = \left | approx\ value - exact\ value \right |[/tex]

As given

Jocelyn estimates that a price of wood measures 5.5 cm.

If it actually measures 5.62 cm.

approx value =  5.5 cm

exact value = 5.62 cm

Put in the error formula

[tex]error = \left | 5.5 - 5.62 \right |[/tex]

[tex]error = \left | -0.12\right |[/tex]

error = 0.12

Put in the formula

[tex]Percentage\ error = \frac{0.12\times 100}{5.62}[/tex]

[tex]Percentage\ error = \frac{12}{5.62}[/tex]

Percentage error = 2.14 (Approx)

Therefore  the percent error of Jocelyn's estimate is 2.14 .

Answer:

3

Step-by-step explanation:

I can see it in the demonstration graph

Answer:

3

Step-by-step explanation:

Male: 12

Female: 9

12 - 9 = 3

Hopes this helps

Answer:

The equation of the line would be y = 5x - 28

Step-by-step explanation:

First, we need to know that perpendicular lines have opposite and reciprocal slopes. Give that information, we know that the new line will be the reciprocal and opposite of -1/5. This would be 5. Now that we have that information, we can use it along with a point to fill in the point-slope form of the equation.

y - y1 = m(x - x1)

y - 2 = 5(x - 6)

Then we must solve for y.

y - 2 = 5(x - 6)

y - 2 = 5x - 30

y = 5x - 28

Answer:

0.25 pints of raspberries do you get per dollar.

Step-by-step explanation:

Unit rate defined as the rates are expressed as as a quantity of 1, such as 3 feet per second or 4 miles per hour, they are called unit rates.

As per the given statement: A farm lets you pick 3 pints of raspberries for $12.00.

⇒ for $12 a farm lets you pick 3 pints of raspberries.

then by unit rate definition,

Unit rate per dollar = [tex]\frac{3}{12} = \frac{1}{4} = 0.25[/tex] pint

Therefore, 0.25 pints of raspberries do you get per dollar.

Answer:0.25

Step-by-step explanation: hope I helped !

Answer:

(-3,3)

Step-by-step explanation:

3x=36-15y and 11x =-78+15y

We move all x  and y terms to the left hand side of the equation , so that we can apply elimination method

3x=36-15y , Add 15 y on both sides , 3x + 15y = 36

11x =-78+15y, subtract 15y on both sides, 11x -15y = -78

Now we add both equations

3x  + 15y = 36

11x -15y = -78

------------------------

14x  = -42

divide both sides by 14

x= -3

Now Plug in -3 for x in any one of the given equation

3x=36-15y

3(-3) = 36 - 15y

-9 = 36 - 15y

Subtract 36 on both sides

-45 = -15y

Divide both sides by -15

So y= 3

Answer is (-3,3)

Answer:

The combined speeds of the trains equals 800 miles per 4 hours or

200 miles per hour.

This averages out to 100 miles per hour for each train.  

Westbound train is 18 mph faster so  

109 mph = Westbound

91  mph = Eastbound

That seems to be right except trains speeds of 91 mph and 109 mph seem to be VERY fast.

Step-by-step explanation:

Answer: point Q is located in (3,4)

Step-by-step explanation: the ratio of SQ:QT is 5:2, and for every two units (up two, right two) it is one ratio. go up two, right two five times that leads a ratio between 5:2.

Answer:

562 + x ≥ 650

x ≥ 88

Step-by-step explanation:

He has 562 points.  He needs x points to get an A.  He must get at least 60 points to get an A.

562 + x ≥ 650

To solve this, we subtract 562 from each side

562-562 + x ≥ 650-562

x  ≥ 650-562

x ≥ 88

c) definition of midpoint

f) definition of congruency

g) property of rectangle (opposite sides are congruent)

h) SAS

i) CPCTC

Answer:

Let x represents the number of apple tree and y represents the number of pear tree and z represents the number of cherry tree in an orchard.

From the given statement: The number of apple trees is 8 more than twice the number of pear trees.

⇒ [tex]x = 2y + 8[/tex]                         .....[1]

Also, It is given that the number of cherry and pear trees combined is 11 more than the number of apple trees.

⇒[tex]y + z = x + 11[/tex]                    ......[2]

The farmer plants 143 trees total.

⇒[tex]x +y +z =143[/tex]                        .....[3]

Substitute equation [2] into [3] we get;

[tex]x + x + 11 = 143[/tex]

Combine like terms;

[tex]2x +11 = 143[/tex]

Subtract 11 on both sides we get;

2x + 11 -11 =143 -11

Simplify:

2x = 132

Divide both sides by 2 we get;

x = 66

Substitute the value of x in equation [1];

66 = 2y + 8

Subtract 8 on both sides we get;

[tex]66 -8 =2y + 8 -8[/tex]

Simplify:

58 = 2y

Divide by 2 on both sides we get;

y = 29

Substitute the value of x and y in equation [3];

we have;

29 + 66 + z = 143

95 + z =143

Subtract 95 on both sides, we get;

95+ z -95 = 143- 95

Simplify:

z = 48

The framer plant in the orchard =  66 apple trees , 29 pear trees and 48 cherry trees

Answer:

(179.10 * 0.035) =6.2685    185.3685 = $196.32

Step-by-step explanation:

First we add 3.5% to the total.

Second we see that the total is over $125.01 thus we add another 10.95 and get 196.3185, rounded to 196.32

Answer:

Option C., $196.32 is the answer.

Step-by-step explanation:

Millicent filled out an order, worth of items = $179.10

The sales tax on that item = [tex]3\frac{1}{2}[/tex]% = 3.5%

total price of the item = 179.10 + ( 3.5% of 179.10)

179.10 + (0.035 × 179.10)

179.10 + 6.2685 = $185.3685 ≈ $185.37

Shipping and handling charges up to $125.01 and above is $10.95

Total price + shipping = 185.37 + 10.95 = $196.32

The total amount of her order is $196.32

Answer:

If this is from TTM the answer is 10 cars.

Step-by-step explanation:

Answer:

4:1

Step-by-step explanation:

If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².

Answer:

1:4     C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To find the number of real roots for a quadratic, we apply the discriminate. The discriminate is the inside portion of the square root from the quadratic formula.

a. [tex]x^2-6x+12=0[/tex] where a=1, b=-6, and c=12

    [tex]b^2-4ac=(-6)^2-4(1)(12)=36-48=-12<0)[/tex] has no real roots

b. [tex]x^2-25=0[/tex] where a=1, b=0, and c=-25

    [tex]b^2-4ac=(0)^2-4(1)(-25)=0+100=100>0)[/tex] has 2 real roots

c. [tex]x^2+11x=0[/tex] where a=1, b=11, and c=0

    [tex]b^2-4ac=(11)^2-4(1)(0)=121-0=-121>0)[/tex] has 2 real roots

d. [tex]x^2+12x+11=0[/tex] where a=1, b=12, and c=11

    [tex]b^2-4ac=(12)^2-4(1)(11)=144-44=100>0)[/tex] has 2 real roots

Answer:

all of your answers are correct

1.) 64

2.) x= -5+4i and x= -5-4i

3.) (4x+3iy)(4x-3iy)

Answer:

When we are completing squares, we need to divide by 2 the linear term and then find its square power, that's the term we need to add on both sides of the equality, as follows

[tex](\frac{16}{2})^{2} =(8)^{2}=64[/tex]

Basically, we need to add the number 64 both sides

[tex]x^{2} +16x+64=18+64[/tex]

The given equation is

[tex]x^{2} +10x+41=0[/tex]

We need to apply the quadratic formula to solve this equation

[tex]x_{1,2} =\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}[/tex]

Where [tex]a=1[/tex], [tex]b=10[/tex] and [tex]c=41[/tex]. Replacing these values, we have

[tex]x_{1,2} =\frac{-10(+-)\sqrt{10^{2}-4(1)(41) } }{2(1)}\\x_{1,2} =\frac{-10(+-)\sqrt{100-164 } }{2}=\frac{-10(+-)\sqrt{-64} }{2}[/tex]

There we need to use complex number, to transform the subradical number in a positive number

[tex]x_{1,2}=\frac{-10(+-)\sqrt{64}i }{2}=\frac{-10(+-)8i}{2}\\ x_{1,2}=-5(+-)4i[/tex]

Therefore, the complex solutions are

[tex]x_{1}=-5+4i\\ x_{1}=-5-4i[/tex]

The given expression is

[tex]16x^{2} +9y^{2}[/tex]

To solve this expression, remember that [tex]i=\sqrt{-1}[/tex]

First, we expresse both squares uniformly,

[tex]16x^{2} +9y^{2}=(4x)^{2}+(3y)^{2}[/tex]

But, we know that [tex]-(-1)=1[/tex], so

[tex](4x)^{2}+(3y)^{2}=(4x)^{2}-(-1)(3y)^{2}[/tex]

Then,

[tex](4x)^{2}-(-1)(3y)^{2}=(4x)^{2}-(3y)^{2}i^{2}[/tex], because [tex]i^{2}=-1[/tex]

Therefore, the expression with complex numbers is

[tex](4x)^{2}-(3iy)^{2}\\\therefore (4x+3iy)(4x-3iy)[/tex]

Answer: choice C, y = 0.014x+0.85

==============================

Explanation:

Each column of the table represents an (x,y) pair of values

x = number of pages

y = cost

If we look at the first two columns, we see the two points (50,1.55) and (100,2.25). The x value is listed first. Let's compute the slope of the line through these two points

m = (y2-y1)/(x2-x1)

m = (2.25-1.55)/(100-50)

m = 0.7/50

m = 0.014

So far, we see the answer is between A,B or C as they have the slope of 0.014

Use this slope value, and one of the points -- say (x,y) = (50,1.55) -- to find the y intercept b

y = mx+b

y = 0.014x+b .... plug in the slope found earlier

1.55 = 0.014*50+b ... plug in the point (x,y) = (50,1.55)

1.55 = 0.7+b

1.55-0.7 = 0.7+b-0.7 ... subtract 0.7 from both sides

0.85 = b

b = 0.85

With m = 0.014 as the slope and b = 0.85 as the y intercept, we can say that y = mx+b turns into y = 0.014x+0.85. That narrows the answer down to choice C.