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Answer:

(7x-4)°= (3x+28)°. ( :. m || n, so it is alternate angle)

7x° - 4° = 3x° + 28°

4x° = 32°

x = 32/8

x = 4°

Answer:

x = 8

Step-by-step explanation:

< (7x - 4)° and < (3x + 28)° are Alternate interior angles that do not have a common vertex on alternate sides of the transversal, t. Therefore, they have the same measure.

We can establish the following equality statement to solve for x :

< (7x - 4)° = < (3x + 28)°

Subtract 3x from both sides:

7x -3x - 4 = 3x - 3x + 28

4x - 4 = 28

Add 4 to both sides:

4x - 4 + 4 = 28 + 4

4x = 32

Divide both sides by 4 to solve for x:

4x/4 = 32/4

x = 8.

To verify whether the value of x is correct, substitute x = 8 into the equality statement:

< (7x - 4)° = < (3x + 28)°

< [(7(8) - 4]° = < [3(8) + 28]°

< (56 - 4)°  = < (24 + 28)°

< 52° = < 52° (True statement. Therefore, the correct answer is x = 8).

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The required statement for the 2 congruent triangles is 1. EF = FG, 2. EH = GH, and ∠E = ∠G.

Given that,
Triangle HEF is the image of triangle HGF after a reflection across line FH. To determine a congruence statement for the 2 congruent triangles.

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

Here,
Since triangle HEF is the image of triangle HGF after a reflection across line FH.
Implies,
1. EF = FG
2. EH = HG
3. ∠E = ∠G

Thus. the required statement for the 2 congruent triangles is 1. EF = FG, 2. EH = GH, and ∠E = ∠G.

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Answer:

0.75

Step-by-step explanation:

I hope this helps!

We must do rise over run to find the slope.

First find 2 points that cross the corner of the grid as shown in the attached image.

Then count how many units up and over it takes to connect the 2 points. For this example, there are 3 up and 4 across.

ΔX = 0 – -4 = 4

ΔY = 1 – -2 = 3

Slope (m) = ΔY/ΔX = 3/4 = 0.75

To solve for slope, it would be [tex]\frac{rise}{run}=\frac{3}{4} =0.75[/tex] is the slope.

Answer:

A variable represents an unknown, numerical value that can vary, taking on different values.

Step-by-step explanation:

In algebra/math, a variable stands for an unknown quantity that can vary, taking on different values. It is often represented by the letter x, but it can be different kinds of symbols such as a, b, z, etc.

Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment.

Step-by-step explanation:

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Answer:

1/2

Step-by-step explanation:

11/3 divided by 2/3

=5.5

11/3 divided by 2/3 , the quotient is 5 and remainder is 1.

The divisor is the integer that divides a given number. The resultant number is sometimes referred to as the quotient. The residual is the number that the divisor leaves after partially dividing the original integer.

Let,  first number is x and second number is y

On dividing given two number

Division=x/y

[tex]x/y=\frac{11/3}{2/3}[/tex]

[tex]x/y=11/2[/tex]

It is given that the quotient for dividing two numbers is 5.

Using,

Dividend = Divisor x Quotient + Remainder

Here,

Dividend =11

Divisor =2

Quotient =5

On, substituting these values to get Remainder

11=2 x 5+ Remainder

Remainder=1

Thus, remainder is 1.

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Answer:

-4[tex]\leq[/tex]x<3

Step-by-step explanation:

1)Break this into 2 case, equal to 0 and and less than 0.

2)The number equals zero if its numerator is 0 which happens when x=-4.

3) A fraction is less than 0 it is negative. Negative fractions are either +/- or -/+,  so we have two subcases.

3a) For +/- the numerator is positive when x>-4 and denominator is negative when x<3. Putting those two together we have -4<x<3.

3b)For -/+ the numerator is negative when x<-4 and the denominator is positive when x>3 however those two values don't overlap.

4) Putting this together we have -4[tex]\leq[/tex]x<3

Answer:

The numbers are 24, 16 and 48

Step-by-step explanation:

For this equation you need to use all the information you have to add in 3 variables, use the information you have to connect them, so you only use one number. You’ll have the second number (x), the first number (x+8) and the third number (3x) now we use all of that to make an equation.

88=x+(x+8)+3x

Now you simplify the equation,

88=5x+8

Now get the x and it’s coefficient alone on one side

80=5x

Now divide both sides so the x is alone

x=16

Since the second number was x you know the second number

the first number is x+8 since x is 16 the first number is 24

The third number is 3 * x so the third number is 48.

So the numbers are 24, 16 and 48

Answer: 0.234 is less than 0.76

Step-by-step explanation:

0.234 can be rounded out to 0

0.76 can be rounded out to 1

Answer: 400 seconds

Step-by-step explanation:

3,000/150=20

20*20=400

150:20 = 3,000:400

2 hours after 20 25 is 22 25

25 minutes after 22 25 is 22 50

The movie ended at 22 50

Answer: f(x) is an odd function

Step-by-step explanation: The major characteristic of odd functions is that one end of the graph goes down to negative infinity, the other end goes up to positive infinity.

Answer:

b<5

Step-by-step explanation:

-4b -5 > -25

add 5 to both sides

-4b>-20

divide by -4

flip the greater than sign

b<5

Answer:

66 months

Step-by-step explanation:

12 months are in a year.

12 x 5 = 60

plus the 6 months that we have been told.

60+6 = 66

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Answer:

-P is true.

Step-by-step explanation:

q v-p is false.

First we need interest annually

[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{150000(6.6)}{100}[/tex]

[tex]\\ \sf\longmapsto I=1500(6.6)[/tex]

[tex]\\ \sf\longmapsto I=9900[/tex]

Now monthly interest

[tex]\\ \sf\longmapsto \dfrac{9900}{12}[/tex]

[tex]\\ \sf\longmapsto 825[/tex]

Monthly principal=150000/12=12500

Answer:

the magnitude of the vector is given by the √(px^2+py^2) so the value is 5.65

The magnitude of the given vector (4, -4) in the simplified form will be 5.65.

A vector is a quantity with both magnitude and direction in physics. It is often depicted by an arrow with the same direction as the amount and a length proportionate to the size of the quantity.

A vector lacks position, but has magnitude and direction. A vector is therefore unaffected by displacement parallel to itself as far as its length is unaltered.

As per the given data in the question,

4² + (-4)² = 16 + 16

= 32

Magnitude = √32

Magnitude = 5.65

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Answer:

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Step-by-step explanation:

Answer:

120

Step-by-step explanation:

all you have to do is multiply 20*60

Answer:

The machine can blow up 300 balloons in 60 min.

Step-by-step explanation:

60 ÷ 4 = 15. 15 x 20 = 300. We know it takes 4 minutes to blow up 20 balloons. 4 minutes is only 1/15 of 60, so that means you have to blow up 20 balloons 15 times, which will take 60 minutes, and in that 60 minutes, you blew up 300 balloons.

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Answer:

I believe this is an acute scalene triangle

Step-by-step explanation:

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Answer:

straight line = 180°

2x+3x+5x= 180 combine like terms

10x=180

x=18

76, 860, 001 in words is Seventy six million, eight hundred and sixty thousand and one.

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Answer:

seventy six million eight hundred and sixty thousandth and 1

Step-by-step explanation:

Answer:

hi so im jeff wanna be my friends

Step-by-step explanation:

Answer:

y-intercept: 2

x-intercept: -7

Step-by-step explanation:

Answer:

13/2

Step-by-step explanation:

Answer:

13/18

Step-by-step explanation:

1/2 ×13/9

1×13 =13

2×9= 18

Answer:

In 1 second it Rotates 15× 360 / 60

Step-by-step explanation:

Wheel Rotates 15 times in 60 seconds

This implies that the wheel completes

15 × 360 degrees in 60 seconds

therefore,

In 1 second it Rotates 15× 360 / 60

=> 15×6 = 90 °

in 12 seconds , 12×90 = 1080°.

[tex]3.32×10^4[/tex]

Answer:

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Step-by-step explanation:

3.32×10^4