Find the value of x in the triangle shown below.
X=??
14
14
50°
18

Answer:

Step-by-step explanation:

5x  + y = 11 -------------------(I)

3x - y = 9 -----------------(II)

Add equation (I) & (II)

   5x + y = 11

   3x - y = 9        {add and y will be eliminated and we'll get the value of x}

  8x       = 20

          x = 20/8

         x = 2.5

Plugin x = 2.5 in equation (I)

5*2.5 + y = 11

 12.5  + y = 11

            y = 11 - 12.5

            y = -1.5

After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .

We have,

[tex]5x + y = 11[/tex]   [tex].......... (i)[/tex]

[tex]3x - y = 9[/tex]   [tex]...........(ii)[/tex]

To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],

[tex]15x + 3y = 33[/tex]   [tex]..........(iii)[/tex]

[tex]15x -5y = 45[/tex]   [tex]..........(iv)[/tex]

Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,

We get,

[tex]8y=-12[/tex]

[tex]y=-\frac{3}{2} =1.5[/tex]

Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,

[tex]5x+(\frac{-3}{2} )=11[/tex]

[tex]x=\frac{5}{2} =2.5[/tex]

So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.

Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].

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Answer:

90

Step-by-step explanation:

Ratio = 6 : 1 : 5

Angles are 6x ,x , 5x

Sum of all the angles of the triangle = 180

6x +x +5x = 180

         12x = 180

            x = 180/12

x = 15

Largest angle = 6x = 6*15 = 90

Answer:

Step-by-step explanation:

5i² + 12i - 32i  = 5i² - 20i

                      = 5i² - (5*4*i)

                      = 5i(i - 4)

Answer: this parabola has 2 x intercepts witch are -4,0 and -8,0

Step-by-step explanation: an x intercept is when y is 0

Answer:

44.5x + 1051.5 = 1719

x = 15

Step-by-step explanation:

DeltaMath

The number of players the team can bring to the  tournament is 15.

Given:

The total amount of money raised by the soccer team = $1719

Amount to rent the bus = $1051.50

Amount budgeted for each player's meal = $44.50

To find:

Equation and the number of players the team can bring to the  tournament

Solution:

The number of players the team can bring to the  tournament = z

Amount budgeted for each player's meal = $44.50

Total amount needed for z number of players' meals =  $44.50z

Amount to rent the bus = $1051.50

The total amount of money raised by the soccer team = $1719

The equation for numbers of players will be written as:

[tex]\$44.50z+ \$1051.50= \$1719\\\$44.50z= \$1719- \$1051.50\\\$44.50z=\$667.50\\z=\frac{\$667.50}{\$44.50}=15[/tex]

The number of players the team can bring to the  tournament is 15.

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Answer:

The answer is 11u + 4v

Step-by-step explanation:

Answer:

11 miles

Step-by-step explanation:

Answer:

11 m

Step-by-step explanation:

Speed = 44 mph

Time = 15 minutes = 15/60 = 1/4 hour

Distance = Speed * time

              = 44 * [tex]\frac{1}{4}[/tex]

             = 11 m

Answer: y = 3

Step-by-step explanation:

Any horizontal line parallel to the x-axis has a zero slope. The horizontal line passing through (-2 ,3) has equation y = 3 as it passes through all points in the plane with a y-coordinate of 3, as may be seen in the graph

Answer:

D. 16

Step-by-step explanation:

Answer:

3.5

7 divided by 50=3.5

3.5x2=7

Step-by-step explanation:

Answer:

3/10,3/8,27%,0.34

Step-by-step explanation:

Answer:

27%, 3/10, 0.34, 3/8

Step-by-step explanation:

I just made them all decimals (same as percent)

3/10=0.30

3/8= 0.375

hope this helps pls mark brainleist

Answer:

A

Step-by-step explanation:

A cannot be split in half evenly :)

Answer:

a

Step-by-step explanation:

it's always looking and you can make two different shapes

Answer:

24 students did NOT get an A

Step-by-step explanation:

30x.20=6

30-6=24

Answer: Its just 5

Step-by-step explanation: Its always the first digit of the number.

Answer: 40 x  (76+35)

Step-by-step explanation:

Given: Every week Abeke earned,

$76 by selling ice cream

$35 by delivering newspapers.

i.e. Total amount earned in 1 week = $ (76+35)

Now Total amount earned in 40 weeks = 40 x  (76+35)

The numerical expression to show how much money( in dollars) Abeke earned in 40 weeks = 40 x  (76+35)

We have to simplify it to get the total money earned in 40 weeks i..e. $4440.

Answer:

D

Step-by-step explanation:

Answer:

-9 < -1

Step-by-step explanation:

-9 is a lesser value than -1. On the number line, -9 appears more so to the left than -1.  

Answer:

80% is greater

Step-by-step explanation:

Answer:

The number 80% is greater than 7/9

Step-by-step explanation:

Answer:

intergers

square root of 14 = 3.74

integer is 4

nearest tenth is 3.7

square root of 90 =9.49

interger = 9

nearest tenth =9.5

square root of 175 =13.23

interger =13

nearest tenth =13.2

Answer:

a

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

Good luck! Please consider awarding Brainliest! ^<^

Answer:

-12/4

Step-by-step explanation:

Use the slope formula

y2-y1. -8-4

---------- ______ = -12/4

x2-x1. 3-(-1)

Answer:

log (8)

log 13 (28)

log (1/2)

Step-by-step explanation:

Answer:

1st pic:

x = 60

y = 50

2nd pic:

y = 8

∠W = 28

∠Y = 128 degrees

∠X = 24

Step-by-step explanation:

first pic:

to find x, subtract 120 from 180 ⇒ 180 - 120 = 60

to find y, add 60 & 70 & subtract the sum from 180 ⇒ 180 - (60 + 70) = 50

2nd pic:

to find ∠Y, subtract 52 from 180:

180 - 52 = 128

to find y, use the following equation:

3y + 4y - 4 + 128 = 180

combine like terms:

7y + 124 = 180

subtract 124 from each side:

7y + 124 - 124 = 180 - 124

7y = 56

divide 7 on both sides:

[tex]\frac{7y}{7} = \frac{56}{7}[/tex]

y = 8

now we can find angles W and X

∠W = 4y - 4

we know that y = 8 so just substitute 8 for y

∠W = 4 x 8 - 4

∠W = 28

∠X = 3y

likewise, subtitute 8 for y

∠X = 3 x 8

∠W = 24

to check, add all angles and if they add up to 180, then its right:

24 + 28 + 128 = 180

180 = 180

Step-by-step explanation:

here's your solution

=> for first figure , (x + 120° ) = 180° [ linear pair]

=> x = 180° - 120°

=> x = 60°

=> now , we know sum of all angles of traingle = 180°

= >so, 60° + 70° + y = 180°

=> y= 180° - 130°

=> y = 50

now in figure second

=> 4y - 4 + 3y = 52° [ exterior angle equal to sum of two opposite interior

=> 7y - 4 = 52°

=> 7y = 52° + 4°

=> 7y = 56°

=> y = 56°/7

=> 8°

hope it helps

Answer:

$(8m + 13n)

Step-by-step explanation:

Given that :

Total Cost of 6 bouquet = 6m

Total cost of 8 chocolate = 8n

Total amount spent = $(6m + 8n)

Total amount left = $(2m + 5n)

Hence, amount had at first :

Total amount. Spent + total amount. Left

(6m + 8n) + (2m + 5n)

(6m + 2m + 8n + 5n)

$(8m + 13n)

Answer: *x squred +3x-10*

Step-by-step explanation:

(x+5)(x-2)

x squred-2x+5x-10

x squred +3x-10

The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be = A

Now , the equation A = ( x + 5 ) ( x - 2 )

On simplifying the equation , we get

A = x ( x - 2 ) + 5 ( x - 2 )

Expanding the brackets , we get

A = x² - 2x + 5x - 10

On simplifying the equation , we get

A = x² + 3x - 10

Therefore , the value of A is x² + 3x - 10

Hence , The equation ( x + 5 ) ( x - 2 ) can be simplified as x² + 3x - 10

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Answer:

y=15x

Assuming he is mowing at a constant rate it would be 15 square feet per minute.

Step-by-step explanation:

Answer:

201.06

Step-by-step explanation:

A=πr2

R= 16/2= 4cm

A= 22/7 x 4 x 4

A= 201.06