Find the measures of angles 1 and 2.

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\textsf{Given expression;}\\[/tex]

[tex] \rm{23 = \frac{7}{9}(6x - 36) + 9 } \\ [/tex]

[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256)}{9} + 9 \\ [/tex]

[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256 + 81)}{9} \\ [/tex]

[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 175)}{9} \\ [/tex]

[tex] \rm{\longmapsto} \: \frac{23}{1} = \frac{(42x - 175)}{9} \\ [/tex]

[tex]\textsf{By doing cross multiplication, we get}\\[/tex]

[tex] \rm{\longmapsto}23(9) = 1(42x - 175) \\ [/tex]

[tex] \rm{\longmapsto}207 =42x - 175\\ [/tex]

[tex]\rm{\longmapsto} \: 42x = - 175 - 207 \\ [/tex]

[tex]\rm{\longmapsto} \: 42x = - 379 \\ [/tex]

[tex]\rm \therefore \: x = - \frac{375}{42} \\ [/tex]

[tex]\textsf{Hence, the value of x will be -375/42 respectively.}\\[/tex]

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[tex]\textsf{Similar Questions}[/tex]

Solve the expression and find the value of x. [tex] \frac{x⁠…

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Answer:

Smaller angle : 30 degrees

Bigger Angle : 65 degrees

Step-by-step explanation:

85+6x+13x=180, 85+19x=180,19x=95,x=5

Smaller angle : 30

Bigger Angle : 65

Answer:

704 students can fit in the cafeteria a day

Answer: 18

Step-by-step explanation:

Answer:

(y+3)=2(x-5)

Step-by-step explanation:

Answer:

20000

Step-by-step explanation:

Answer: 30,000 feet

Step-by-step explanation: We start with the 10,000 feet original height. From there, we can take 2,000 feet per minute and multiply it by 10 minutes. That gets us 20,000 feet. Add 20,000 to our original 10,000 and we get 30,000.

Answer:

3

Reasoning:

[tex]3(5+3)=15+9[/tex]

Distribute three to the numbers to get 15+9.

Answer:

A

Step-by-step explanation:

[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]

Answer: This function is linear because it forms a straight line when graphed.

Would appreciate brainly <3

Step-by-step explanation:

the most usual firm of line equation is

y = ax + b

a is the slope of the line and is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-interception (the bake of y when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

the slope a :

x changes by +3 (from 3 to 6)

y changes by +8 (from -1 to 7)

so, the slope is +8/+3 = 8/3

our line equation now looks like

y = (8/3)x + b

let's simply use the first point

-1 = (8/3)×3 + b

-1 = 24/3 + b = 8 + b

-9 = b

and the full line equation is

y = (8/3)x - 9

Answer:

The answer is the second option

Step-by-step explanation:

All you have to do is replace x with the data given.

Example: f(x) = 3[tex]x^{2}[/tex] - 6

x = 0 => f(x) = 3 x [tex]0^{2}[/tex] - 6 = 3 x 0 - 6 = -6

x = 1 => f(x) = 3 x [tex]1^{2}[/tex] - 6 = 3 x 1 - 6 = 3 - 6 = -3

x = 2 => f(x) = 3 x [tex]2^{2}[/tex] - 6 = 3 x 4 - 6 = 12 - 6 =  6

Answer:

one solution

Step-by-step explanation:

3x + 9 = 25x + 14

-3x         -3x

9 = 22x + 14

-14         - 14

-5 = 22x

Answer:

pretty sure 60, 5 x 12

Step-by-step explanation:

just do 5 x 12 if there's 12 tiles and their measurement is 5 inches each

Answer:

2

Step-by-step explanation:

as x increases by 2, y increases by 4, slope= rise/run, so the slope= 4/2=2

Answer:

50

Step-by-step explanation:

Answer:

y= -¾x + 19/4

Step-by-step explanation:

get gradient and substitute

For a point with a slope 3/4 and which passes through the points  (-2, 6) and (-8, k), the value of k is 1.5

The line passes through the points (-2, 6) and (-8, k)

That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]

The slope of the line, m = 3/4

The formula for calculating the slope of a line is given as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute   [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above

[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]

Therefore, the value of k is 1.5

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Answer:

0

Step-by-step explanation:

if x is 3 then;

3(3-1)=2×3+c

c=0

so if c=0 then

x=3

Answer:

Step-by-step explanation:

Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )

4(p + 3) +4(p - 6) =

4p + 12 + 4p - 24 =

8p -12

Answer:

Here

Step-by-step explanation:

Irrational exponents are non repeating or infinite decimals while rational exponents are rational numbers. The value of an irrational exponent when calculated is approximate in nature while the value of rational exponent is exact.

Answer:

[tex]⟼12(y + 11)[/tex]

The distance around a circle is the circumference.

Circumference = Pi x diameter.

Circumference = 3.14 x 48

Circumference = 150.72 inches

Round the answer as needed.

Answer:

Step-by-step explanation:

To SUBTRACT fractions with like or the same denominator, just subtract the numerators then copy the common denominator. Always reduce your final answer to its lowest term.

Answer:

[tex]\frac{7}{10} ,0.7[/tex]

Reasoning:

Do the inverse of adding 4/5 to isolate and find a.

[tex]1\frac{1}{2} - \frac{4}{5} =\frac{7}{10}[/tex]

Decimal Form:

[tex]1.5-0.8=0.7[/tex]

Answer:

  a = 0.7 = 7/10

Step-by-step explanation:

Subtract 4/5 from both sides.

  a + 4/5 = 1 1/2

  a + 0.8 = 1.5

  a + 0.8 -0.8 = 1.5 -0.8 . . . . subtract 4/5 from both sides

  a = 0.7 = 7/10

_____

If you like, you can solve this a couple of other ways:

1) Solve it as an integer problem.

  10a +8 = 15 . . . . . . multiply the given equation by 10 to clear fractions

  10a = 7 . . . . . . . . subtract 8

  a = 7/10 . . . . . . divide by 10

2) Use a common denominator

  a +8/10 = 1 5/10

  a = 1 5/10 -8/10 . . . . . subtract 8/10

  a = 15/10 -8/10 = (15 -8)/10 = 7/10 . . . . . convert to improper fraction

__

Additional comment

It is a good idea to get comfortable working with numbers in any form in which they are presented: decimal, fraction, mixed number, scientific notation, percentage. Knowing how to convert between forms is essential.

Answer:

(-1, -6),  (7, 0) , and  (11, 3)

Step-by-step explanation:

3x - 4y = 21        Solve the equation for y

3x - 21 = 4y      

(3x - 21)/4 =  y  

Now use the ordered pair and find the true ordered pair

  (-1, -6)     [ (3)(-1) - 21]/ 4 ;    (-3 -21)/4 ;  (-24)/4 = -6     True

   (7, 0)     [(3)(7) -21]/4 ; (21 - 21)/4;  0/4 = 0     True

   (11, 3)    [(3)(11) - 21]/4;  (33 - 21)/4; 12/4 = 3    True

    (-3 ,3)   [(3)(-3) - 21]/4  (-9 -21)/4 ; -30/4  = -7.5   No

Answer:

[tex]x = a - 1[/tex]

Step-by-step explanation:

from what you told me you put it in a formula

so I says it in a algebraic format

Answer:

Step-by-step explanation:

Clays rate is 1/2 hour per lawn.  We can write this as Rate = 3/2 hr/lawn.

If Clay mows for 1/3 hour, we can determine the amount of lawn mowed by dividing the 1/3 hour by the rate:

(1/3 hr)/(3/2 hr/lawn) = (1/3)*(2/3) = 2/9 of a lawn.

Answer:

x = 9

Step-by-step explanation:

78 - 2x = 87 - 3x

3x - 2x = 87 - 78

x = 9

x = 9

Step-by-step explanation:

=> 78-2x= 87 -3x

=> 78-87=-3x+2x

=> -9 = -x

=> x = 9