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2 years ago

Solve for x …………………..,.

Mathematics

1 answer:

son4ous [18]2 years ago

3 0

Answer:

x = 4 , x = 3

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(11)

18x + 5 = 46 - 1 + 8x

18x + 5 = 45 + 8x ( subtract 8x from both sides )

10x + 5 = 45 ( subtract 5 from both sides )

10x = 40 ( divide both sides by 10 )

x = 4

(13)

15x + 5 + 22x + 4 = 120

37x + 9 = 120 ( subtract 9 from both sides )

37x = 111 ( divide both sides by 37 )

x = 3

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What is the value of x? Please show step by step.

3241004551 [841]

Start by using trig to find the length of the line LJ

The triangle KJL (big right angled triangle) has been given the following dimensions

Hypotenuse = $8 \sqrt{2}$
The adjacent angle is 30 degrees

Since we have the hypotenuse and the angle we must use the equation
opposite = Sin(angle) x Hypotenuse

Opposite= sin30 x $8 \sqrt{2}$

Opposite= $4 \sqrt{2}$

Therefore line LJ is $4 \sqrt{2}$

Now look at the smaller right angled triangle (LMJ)

Hypotenuse is the line LJ which is $4 \sqrt{2}$

The adjacent angle is 45

Since we have hypotenuse and angle we must use the equation opposite = sin(angle) * h

therefore
x= $4 \sqrt{2}$ * sin45= 4

3 0

3 years ago

14 lessons costs $210. What would 72 lessons cost

Oksi-84 [34.3K]

Answer:

$1,080

Step-by-step explanation:

To solve, we can make a proportion

14 lessons are $210 and 72 lessons are $x

14/210=72/x

Cross multiply

14*x=210*72

14x=15120

To solve for x, we need to get x by itself. Since x is being multiplied by 14, divide both sides by 14.

14x/14=15120/14

x=1080

So, 72 lessons will cost $1,080

4 0

2 years ago

Read 2 more answers

In circle p, td¯¯¯¯¯ and tb¯¯¯¯¯ intersect at t. ta=10, tc=8, cd=12, and ab=x+2. find ab. circle p. answer

inysia [295]

The answer is AB = 6.

External value x (external value + internal value) =
External value x (external value + internal value) of the other side

Substitute, transpose, and simplify.

TA x (TA + AB) = TC x (TC + CD)
10 x (10 + (x + 2)) = 8 x (8 + 12)
120 + 10x = 160
10x = 40
x = 4

To find AB: x + 12; x = 4
AB = x + 2
AB = 4 + 2
AB = 6

3 0

3 years ago

The bowl of a circular birdbath has an inside diameter of 18 inches, as shown in the drawing belon.

Step2247 [10]

Answer:

254 square inches

Step-by-step explanation:

A=pi*r^2

A=pi*(d/2)^2

A=3.14*(18/2)^2

A=3.14*(9)^2

A=3.14*81

A=254.34 in^2

So, rounded no the nearest whole, the answer is 254 in^2

Which is option 2 or B

4 0

3 years ago

Help me please with math

koban [17]

Answer:

2) y = x - 4

y = -x + 2

=> x - 4 = -x + 2

=> 2x = -6

=> x = -3

=> y = -3 - 4 = -7

3) y = 3x + 1

y = 5x - 3

=> 3x + 1 = 5x - 3

=> 2x = 4

=> x = 2

=> y = 3(2) + 1 = 7

4) 2x + y = 8 => y = -2x + 8

y = x - 7

=> -2x + 8 = x - 7

=> 3x = 15

=> x = 5

=> y = 5 - 7 = -2

7 0

2 years ago

Read 2 more answers