Find the value of X.

Answer:

Step-by-step explanation:

Part (A).

Angles ABC and CBD are the supplementary angles.

Therefore, m(∠ABC) + m(∠CBD) = 180°

Now substitute the measure of each angle in the equation,

(5x + 12)° + (13x + 24)° = 180°

18x + 36 = 180

18x = 180 - 36

18x = 144

x = 8

Part (B).

m∠ABC = (5x + 12)

             = 5(8) + 12

             = 52°

m∠CBD = (13x + 24)

             = 13(8) + 24

             = 104 + 24

             = 128°

Part (C).

We can check the results by adding measures of these angles.

m∠ABC + m∠CBD = 52 + 128

                               = 180°

Therefore, both the angles are supplementary angles which is already given.

Answer:

It is a Isosceles triangle

Step-by-step explanation:

The name of the triangle is an isosceles triangle.

Option B is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

Right:

A right triangle is a triangle that has one angle measuring 90 degrees (a right angle).

It can have different side lengths and angles, but it must have one right angle.

Isosceles:

An isosceles triangle is a triangle that has at least two sides of equal length and the corresponding angles opposite those sides are equal.

The third side can have a different length, and the third angle opposite that side will be different from the other two angles.

Scalene:

A scalene triangle is a triangle that has no sides of equal length and no angles of equal measure.

All three sides and angles are different.

Obtuse:

An obtuse triangle is a triangle that has one angle that measures greater than 90 degrees (an obtuse angle).

The other two angles will be acute angles, measuring less than 90 degrees.

It can have different side lengths, but it must have one obtuse angle.

So,

The name of the triangle in which two sides have the same length and the corresponding two angles have the same size is an isosceles triangle.

Therefore,

The name of the triangle is an isosceles triangle.

Learn more about triangles here:

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Answer:

$4.20

Step-by-step explanation:

0.15 x $28.00=$4.20.

Answer:

x=11

Step-by-step explanation:

-5x=-4x-11

-5x+4x=-11

-x=-11

x=11

Answer:

A number line with a closed circle on 6 and shaded to the right.

Step-by-step explanation:

Answer:a number line with a closed circle on 6 and shading to the right

Step-by-step explanation:I think I’m right! Good luck

Answer:

111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Answer:

ok what is it

Step-by-step explanation:

Answer:

Jacky is correct

Step-by-step explanation:

If you look closely, There's another point A which an apostrophe. (A')

This normally means that this is  point A after a dilation was made.

The image got bigger.

Answer:

1= -25

2=  22

3= 0

4= -34.5

Answer:

1 negative

2 positive

3 zero

4 negative

Step-by-step explanation:

Hope this helps :D

Answer:

- 0.000105156(x - 50)² + 0.64008

Step-by-step explanation:

Given the curve function model : -0.000345(x - 50)² + 2.1 ; Which is measured in feets :

To convert the curve model in feets to metres +, using the function :

m(x) = 0.3048x

Multiply m(x) by r(x)

Hence,

m(r(x)) = 0.3048(-0.000345(x - 50)² + 2.1)

m(x) = - 0.000105156(x - 50)² + 0.64008 ; measured in meters

Answer:

2

Step-by-step explanation:

Answer:

Hello

Step-by-step explanation:

The awnser to your question is 2

Answer:

x = 4

y = 1

Step-by-step explanation:

At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°

∵ The sum of the interior angles of a triangle is 180°

∴ 52° + 90° + (6x + 14y)° = 180°

→ Add the like terms

∴ 142° + (6x + 14y) = 180°

→ Subtract 142° from both sides

∴ (6x + 14y)° = 38° ⇒ (1)

→ By using the two triangles

∵ The two triangles are congruent

∴ (15x - 8y) = 52° ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (1) by 5 and equation (2) by -2 to make the

   coefficients of x equal in values and different in signs

∵ 5(6x + 14y) = 5(38)

∴ 30x + 70y = 190 ⇒ (3)

∵ -2(15x - 8y) = -2(52)

∴ -30x + 16y = -104 ⇒ (4)

→ Add equations (3) and (4) to eliminate x

∵ 86y = 86

→ Divide both sides by 86 to find y

∴ y = 1

→ Substitute the value of y in equation (1) to find x

∵ 6x + 14(1) = 38

∴ 6x + 14 = 38

→ Subtract 14 from both sides

∴ 6x = 24

→ Divide both sides by 6

∴ x = 4

Answer:

The stock is worth $702.5.

Step-by-step explanation:

Giving the following information:

Present Value= $500

Number of periods  (n)= 3 years

Growth rate (i)= 12%

To calculate the value of the stock today, we need to use the following formula:

FV= PV*(1+i)^n

FV= 500*(1.12^3)

FV= $702.5

The stock is worth $702.5.

Answer:

Step-by-step explanation:

time taken to reach the max height is expressed according to the projectile equation;

tmax = u/g

Given u = 30m/s

g is the acceleration due to gravity = 9.81

t = 30/9.81

t = 3.0secs

hence it will take the flare 3.06secs to reach its maximum height.

Max height = u²/2g

Max height = 30²/2(9.81)

Max height = 900/19.62

Max height = 45.87m

If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m

Answer:

36 is the lcm of this question

Step-by-step explanation:

Hey there!

The given points are; (-4,-1) and (4,2).

Use slope formula.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]m = \frac{2 + 1}{4 + 4} [/tex]

Simplify it.

[tex]m = \frac{3}{8} [/tex]

Therefore, the slope is 3/8.

Hope it helps...

Answer:

[tex]k(x)=(x-4)(x+6)[/tex]

Step-by-step explanation:

[tex]k(x)=(x+1)^2-25\\\\[/tex]

to factorize it you have to remember the difference of squares that says

[tex]a^2-b^2=(a-b)(a+b)[/tex]

so we have

[tex](x+1)^2\\\\(x+1)^2=a^2\\\\25\longrightarrow 5^2\\\\5^2=b^2\\\\[/tex]

and we apply the formula

[tex](x+1)^2-25=[(x+1)-5][(x+1)+5]\\\\=(x+1-5)(x+1+5)\\\\=(x-4)(x+6)[/tex]

so there you have it

[tex]k(x)=(x-4)(x+6)[/tex]

infinitely many solutions

Hi there !

3(y - 2) = 3y - 6

3y - 6 = 3y - 6 | + 6

3y = 3y

true ∀ y ∈ R

Good luck  !

Answer:

44 i believe

Step-by-step explanation:

Answer:

x = 7/12

Step-by-step explanation:

Write the expression in exponential form with the base of 2

[tex]2x^{3x-3}[/tex]  = [tex]32^{3x-2}[/tex]

[tex]2^{3x-3}[/tex]  = [tex]2^{15x-10}[/tex]

Since the bases are the same, set the exponents equal

x - 3 = 15 - 10

Move variable to the left-hand side and change its sign

3x - 15x - 3 = -10

Move constant the the right-hand side and change its sign

3x - 15x = -10 + 3

Collect like terms

-12x = -10 + 3

Calculate the sum

-12x = -7

Divide both sides o the equation by -12

x = 7/12

Solution

7/12

Alternate form

x = 0.583

Answer:

y=3/2x+1

Step-by-step explanation:

y=mx+b is the slope-intercept form

y=3/2x+b

we are looking for b now

plug in the points you provided

2=x, 4=y

4=3/2(2)+b

4=3+b

b=1 which is the intercept

Answer:

a. 70,000

b. 24,000,000

c. 3,600,000

Step-by-step explanation:

You round all the numbers and multiply the rounded numbers.

So...

a. 656 = 700

106 = 100

7000*100= 70,000

b. 3108 = 3000

7942 = 8000

3000*8000= 24,000,000

c. 425 = 400

9311 = 9000

400*9000= 3,600,000

Answer:

i think 4 attires

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

1) Each of the ratios can be reduced to 1 : 5, Since both can be reduced to the same ratio, the do form a proportion.

  4 : 20 = 1 : 5

  6 : 30 = 1 : 5

__

2) The first ratio can be reduced to 1/2. The second ratio is not 1/2 and cannot be reduced. Since they are different ratios, they do not form a proportion.

  9/18 = 1/2

  3/8 = 3/8

Answer:

Amy and John both run 3 meters in 1 second

Step-by-step explanation:

Amy: 150/50=3 meters in 1 second

John: 1200/400=3 meters in 1 second

Answer:

y=-1/2x+3

Step-by-step explanation:

Answer:

9/28

Step-by-step explanation:

just divide by 2

Answer: 9/28

Steps: 18/56

Factor the number:  8 = 2 · 9

Factor the number:  56 = 2 · 28

Cancel the common factor: 2

9/28

Plz mark brainliest:)

Answer:

5/8

Step-by-step explanation:

I used the slope formula of y2-y1/x2-x1

Answer:

A

Step-by-step explanation:

Hope this helps!!!!!!!!!!!!!!!!!!:)

Answer:

is it C OR A

Step-by-step explanation: