Mr. Mills is 5 feet and 11 inches tall. How many inches tall is he?

The required value of x is 7.

In the given statement is:

m/HGS = 3x + 5,

m/SGF=21x +3, and m/HGF = 176º.

and, to find the value of 'x'

The two angles, ∠HGS & ∠SGF, when combined, will result in ∠HGF

m ∠HGS = 3x + 5

m ∠SGF = 21x + 3

m ∠HGF = 176°

Set the equation:

m ∠SGF + m ∠HGS = m ∠HGF

Plug in the corresponding terms to the corresponding variables:

21x + 3 + 3x + 5 = 176°

24x + 8 = 176°

24x = 176° - 8

24x = 168°

x = 168°/24

x = 7

Hence, The required value of x is 7.

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Let a and b be the zeroes of x² + kx + 12 such that |a - b| = 1.

By the factor theorem, we can write the quadratic in terms of its zeroes as

x² + kx + 12 = (x - a) (x - b)

Expand the right side and equate the coefficients:

x² + kx + 12 = x² - (a + b) x + ab

Then

a + b = -k

ab = 12

The condition that |a - b| = 1 has two cases, so without loss of generality assume a > b, so that |a - b| = a - b.

Then if a - b = 1, we get b = a - 1. Substitute this into the equations above and solve for k :

a + (a - 1) = -k   →   2a = 1 - k   →   a = (1 - k)/2

a (a - 1) = 12   →   (1 - k)/2 • ((1 - k)/2 - 1) = 12

→   (1 - k)²/4 - (1 - k)/2 = 12

→   (1 - k)² - 2 (1 - k) = 48

→   (1 - 2k + k²) - 2 (1 - k) = 48

→   k² - 1 = 48

→   k² = 49

→   k = ± √(49) = ±7

Answer:

The maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅

Step-by-step explanation:

Given;

[tex]\frac{|5k-8|}{10} = 2\\\\|5k-8| = 20[/tex]

Simplifying further;

5k - 8 = 20 ------- (1)

5k - 8 = -20------(2)

Solving equation (1)

5k - 8 = 20

5k = 28

k = 28 /5 = 5 ³/₅

Solving equation (2)

5k - 8 = -20

5k = -20 + 8

5k = -12

k = -12 / 5  = -2 ²/₅

Thus, the maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅

Answer:

(0, 0)

Step-by-step explanation:

None

Answer:

Jose answered incorrectly.  In his second step, where he expanded the term 5(c - 2), he multiplied the c by five, but failed to multiply the two, giving him, "5c - 2 - 2c" instead of the correct expression "5c - 10 - 2c".

Answer:

top one is right 100% right!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

You should ask a moderator

Answer:

(6,7)

Step-by-step explanation:

took the test, was correct.

x= 6, y=7

solve for the first variable in one of the equations, then substitute the result into the other equations.

The value of x is 0.05 and y is 4.8 for given system of equations.

Two or more expressions with an Equal sign is called as Equation.

The given  system of equations are

y=2+56x...(1)

4x−3y=3...(2)

Substitute (1) in equation (2)

4x-3(2+56x)=3

4x-6+168x=3

172x-6=3

Add 6 on both sides

172x=9

Divide both sides by 172

x=9/172

x=0.05

Now plug in x value in equation 1

y=2+56(0.05)

=2+2.8

y=4.8

Hence, the value of x is 0.05 and y is 4.8 for given system of equations.

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Answer:

4 3/4 inches

Step-by-step explanation:

Answer:

[tex]4\frac{3}{4}[/tex]

Step-by-step explanation:

Answer:

e) cos(90-x)

Step-by-step explanation:

sinx=cos(90-x)

Answer:4x2

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

2 x 20=40

5 x 20=100

40/100= 0.40 simplified as 0.4

Answer:

2/5 as a decimal is 0.4

Step-by-step explanation:

2 divided by 5 would equal 0.4

Answer:

-2

Step-by-step explanation:

you have to rearange in the form of

y=mx+b, where m is the slope

y -6= -2( x-8)

y = 6 -2x + 16

y= -2x +22

slope is -2

Answer:

b.5

a-3

a.20

its korrect now

The additional information required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate is that Line ML is equivalent to line YL. Option A

The SSS congruence theorem states that  If all the sides of one triangle are equivalent to the corresponding three sides of the second triangle, then,  the two triangles are said to be congruent.

From the diagram given, we have;

For the three sides of triangles NLM to be equivalent to that of LNY;

Line MN must be equal to line YL

Thus, the additional information required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate is that Line ML is equivalent to line YL. Option A

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Answer: okay is that a question?

Step-by-step explanation:

Answer:

[tex]given \\ 13x + 9 = 6x - 12 \\ = > 13x - 6x = - 12 - 9 \\ = > 7x = - 21 \\ = > x = \frac{ - 21}{7} \\ = > x = - 3[/tex]

Answer:

Third choice, 3/4

Step-by-step explanation:

Add all the cubes together, 12 + 5 + 3 = 20

There's a 12/20, which is 3/5, chance you'll get a green cube

5/20, which is 1/4, chance you'll get a blue cube

And there's a 3/20 chance you'll get a yellow cube

The probability of not getting a blue cube is 12/20 + 3/20 = 15/20 = 3/4

Answer:

4:05?

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

This doesn't make sense.

Answer:

Slope: -5 Y-intercept: 3

Step-by-step explanation:

the slope intercept of a linear equation is:

y=mx+b

were m is slope. and b is the y intercept

therfore the problem is:

y=-5x+3

m=-5 so the slope is -5

b=3 so the y-intrercept is 3

Answer:

-5

Step-by-step explanation:

The slope is always in front of the x

Answer:

$88.3

Step-by-step explanation:

Here 42% of annual health premium($5450)=*5450

                                                                     =$2289

This amount is being paid by the company means it is deducted amount in one year.

One year has 26 paychecks so above amount divided by 26 is rebate amount in each paycheck.

Deducted amount=

                              =$88.30

Answer:

2^6

Step-by-step explanation:

2^6=64

2x2x2x2x2x2=64

it's 2 to the power of 6

Answer:

160

Step-by-step explanation:

there are 3 rectangles in the irregular figure cut across them with your pen by drawing lines and indicate using dimensions.

1. 4 by 6 =24

2. 6 by 11 =66

3. 7 by 10= 70

add them altogether

=160

Answer:

i believe >

Step-by-step explanation:

Answer:

[tex]Probability = \frac{2}{9}[/tex]

Step-by-step explanation:

Given:

A pair of dice

Required

Determine the probability of a sum of 5 or 9

Let the sample space of the first die be S1 and the second, S2

[tex]S_1 = {1,2,3,4,5,6}[/tex] --- 6 outcomes

[tex]S_2 = {1,2,3,4,5,6}[/tex]  --- 6 outcomes

Number of sample space, n is:

[tex]n = 6 * 6[/tex]

[tex]n = 36[/tex]

Next, we list out all possibilities of obtaining a sum of 5

[tex]Sum\ of\ 5 = \{(1,4),(2,3),(3,2),(4,1)\}[/tex]

n(Sum5 )= 4

Next, we list out all possibilities of obtaining a sum of 9

[tex]Sum\ of\ 9 = \{(3,6),(4,5),(5,4),(6,3)\}[/tex]

n(Sum9)= 4

The required probability is then calculated as:

[tex]Probability = \frac{n(Sum9)}{Total} + \frac{n(Sum5)}{Total}[/tex]

[tex]Probability = \frac{4}{36} + \frac{4}{36}[/tex]

Take LCM

[tex]Probability = \frac{4+4}{36}[/tex]

[tex]Probability = \frac{8}{36}[/tex]

Simplify

[tex]Probability = \frac{2}{9}[/tex]

Answer:

6x

Step-by-step explanation:

add sides up

Answer: = 4y + 7z + 8

Answer:

7z+4y+8

Step-by-step explanation:

Collect the like terms so 12z-5z would be 7z, then since there is only 1 y term it would be 4y, and -7 + 15= 8

Answer:

$9.30

Step-by-step explanation:

Answer:

Jamal will put $9.30 in his P.Y.F. account this week.

Step-by-step explanation:

Jamal makes $186 a week. He plans to save 5% of that in his P.Y.F. account.

%5 of $186 is $9.30 ($186/20).

This week, he will put $9.30 in his P.Y.F. account.

Hope this helps!

Answer:

Y=-4x-4= [tex]x=- \frac{y+4}{4}[/tex]

Step-by-step explanation:

Answer: The answer is x=–y+4/4?

Step-by-step explanation: