in this picture lines AB and CD are parallel. Find the measures of the following angles. Explain your reasoning.

Answer:

Angle BCD is 13 degrees

Step-by-step explanation:

Here, we want to find the measure of angle BCD

To get this, we need an appropriate diagram. The diagram can be seen in the attachment.

To find the value of BCD, we can use an important triangle theorem.

This is that the sum of opposite interior angles of a triangle equals the exterior angle.

Thus, we have that;

BCD + DBC = CDE

hence;

3x + 5 + 2x + 3 = 9x-12

5x + 8 = 9x -12

9x-5x = 8 + 12

4x = 20

x = 20/4

x = 5

So the measure of BCD will be 2(5) + 3 = 10 + 3 = 13

Answer:

13°

Step-by-step explanation:

just solved on delta math

Answer:y=x

Step-by-step explanation: 13-18=-5

15-20=-5

-5/-5=1 slope

Using point slope take the first point and that slope to find the slope intercept.

Y-18=1(x-20)

Y=x-2

Answer:

the initial statement is

y

∝

x

to convert to an equation multiply by k the constant

of variation

⇒

y

=

k

x

to find k use the given condition

y

=

3

when

x

=

2

y

=

k

x

⇒

k

=

y

x

=

3

2

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

3

2

x

2

2

∣

∣

∣

−−−−−−−−−−−−

when

x

=

8

then

y

=

3

2

1

×

8

4

=

3

×

4

=

12

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

-3 is supposed to be the answer for b so let's substitute -3 for b.

5(-3)+1=16

-15+1≠16

-15+1 is actually equal to -14

if the -3 would have been positive then it would be correct

Answer:

c. the slope of the line

Step-by-step explanation:

because i just know

The direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.

The general equation of a straight line is -

y = mx + c

where m is slope of line

c is the y - intercept

Given is the direct variation of a quantity.

The direct variation of a quantity in the equation of a straight line is represented by the slope of a straight line. Mathematically, we can write -

y = mx + c

for y - intercept = [c] = 0, we can write -

y = mx

m = y/x

which is the representation of direct variation.

Therefore, the direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.

To solve more questions on direct variation, visit the link below-

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Answer:

Your answer is: 7

The degree of the equation is 7.

Step-by-step explanation:

Hope this helped : )

Answer: 7

Step-by-step explanation:

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

4a^5b^2  >> 7

2ab^3 >> 4

The largest exponent is the degree of the polynomial

7

Answer:

X=5

Step-by-step explanation:

10=2x divided by 2 means x=5

Answer:

[tex]a_{n}[/tex] = 3 - n

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

1 - 2 = 0 - 1 = - 1 - 0 = - 1

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = - 1 , thus

[tex]a_{n}[/tex] = 2 - 1(n - 1) = 2 - n + 1 = 3 - n

Answer:

hope this helps

Answer:

x=15 or 15=x hope this helps

Answer: 0.5(cos 1.3x − cos 2.3 x)

Step-by-step explanation:

Hey there!

In trigonometry which relates the sides and angles of the triangle, there is an identity which states that,

                    (sinA) (sinB) = 0.5(cos (A − B) − cos (A + B) )

In this item, our A and B are 1.8x and 0.5x, respectively.  

Substituting,

                  sin(1.8x)sin(0.5x) = 0.5(cos (1.8x − 0.5x) - cos(1.8x + 0.5x))

                  sin(1.8x)sin(0.5x) = 0.5(cos 1.3x − cos 2.3 x)

~I hope I helped you! :)~

Answer:

It is C. 0.5(cos 1.3x − cos 2.3 x)

Step-by-step explanation:

I just took the test on PLATO

Answer:

About 79 boys i think

Step-by-step explanation:

:)

Answer:

x=2

Step-by-step explanation:

Answer:

25, 34, 43

Step-by-step explanation:

its +9 per number

Answer:

Question 1: The negative slope is line j.

Question 2: M's Slope is 1/2.

Step-by-step explanation:

Question 1:

Way 1:

The negative slope is line j because it moves from left to right where the y points decrease while x is increasing.

Way 2:

Finding the slope also finds if it has a negative or a positive slope.

Line j has points (-1,3) and (0,0).

To solve for slope, you have to do (y2-y1)/(x2-x1).  

To substitute the values, it gets to (0-3)/(0-(-1)).

To simplify that, it gets to -3/(0+1) which equals to -3/1. -3/1 in other words is -3.

Since the slope is a negative number, it has a negative slope.

Question 2:

To find the slope of line m, you have to find two points first.

The two points there are is (4,2) and (0,0).

Then you have to use the equation (y2-y1)/(x2-x1).

Once you find the numbers, you plug it into the equation getting (0-2)/(0-4).

To simplify that it gets to -2/-4. That equals -1/-2 once simplifying the fraction.

Since there are negatives in both numerator and denominator, the negative sign gets removed and it becomes 1/2.

Therefore, the slope for line M is 1/2.

Answer:

32x+540

Step-by-step explanation:

Answer:

32x + 540

Step-by-step explanation:

1. Solve the multiplication:

102x +204 - 70x + 336

2.Simplify

32x + 540

no, they have different variables

Answer:

Step-by-step explanation:

You can becuase 8 and 5=13 and then x and y equeal to somthing do yeah it’s right

Answer:

(7x7x7x7x7)(7x7x7x7x7)(7x7x7x7x7)

Step-by-step explanation:

Answer:

(7x7x7x7x7)(7x7x7x7x7)(7x7x7x7x7)

Step-by-step explanation:

it is the first option because you multiply the 5 by the 3 so it becomes 7 to the 15th power

Answer:

457/999

Step-by-step explanation:

Answer:

457/999

Step-by-step explanation:

i got it right :)!

Answer:

6 shirts

Step-by-step explanation:

she spent 56 in total

56-20 for the pants

36 left and she bought 6 shirts

36 divided by 6

6

Answer:x=2/3

Step-by-step explanation:

Answer:

B

hope this helps :D

Answer:

Answer:

f(x) = 5 + 2x

y+4x^2-1 is the same as y=-4x^2+1, then replace y with f(x); f(x)=-4x^2+1. After you do that, replace x with 2; f(2)=-4(2)^2+1. 2^2=4, 4 times -4=-16, -16+1=-15. So f(2)=-15.

Answer:

f(x) = 5 + 2x

Step-by-step explanation:

2y - 4x = 10

     +4x    +4x

2y = 10 + 4x

Now we have a new equation but we have to isolate the variable y.

[tex]\frac{2y}{2}[/tex]  = [tex]\frac{10 + 4x}{2}[/tex]  Then divide to solve for y.

y = 5 + 2x

Since f(x) is the same thing/equal to y we can just replace that.

f(x) = 5 + 2x

Hope that helps and have a great day!

Answer:

m<y= 34

Step-by-step explanation...

6x-23=4x+9

2x=32

x=16

m<y+m<z=180

m<y=73+73=180

m<y=34

An isosceles triangle is a two-dimensional figure which has two equal sides and the two angles opposite to the equal sides are equal.

The sum of the three angles is equal to 180 degrees.

The value of angle m∠Y is 34°.

Option B is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Isosceles triangle:

Two sides are equal.

The angles opposite to the equal sides are also equal.

So,

From the figure we have,

6x - 23 = 4x + 9

Add 23 on both sides.

6x - 23 + 23 = 4x + 9 + 23

6x = 4x + 32

Subtract 4x on both sides.

6x - 4x = 4x + 32 - 4x

2x = 32

Divide both sides by 2.

x = 32/2

x = 16

The sum of the three angles of the Isosceles triangle given must be 180 degrees.

6x - 23 + 4x + 9 + m∠Y = 180

Put x = 16

6x16 - 23 + 4x16 + 9 + m∠Y = 180

96 - 23 + 64 + 9 + m∠Y = 180

146 + m∠Y = 180

Subtract 146 on both sides.

m∠Y = 180 - 146

m∠Y = 34

Thus,

The value of angle m∠Y is 34°.

Option B is the correct answer.

Learn more about triangles here:

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Answer:

back where he started

Step-by-step explanation:

First he went up 30 feet.

Then he went -30 feet.

Meaning that he went up the went back down.

Which is basically 30-30

I think that should be right.

Answer:

.5 degrees F per hour.

Step-by-step explanation:

Answer:

Step-by-step explanation:

So, you wanna be a master?

Do you have the skills to be number 1?

(If not, I'll help you lol)

Okay, let's define what a circumference is.

Circumference - The entire outside of a circle, think of it as the "perimeter" of the circle, like how there is a perimeter for a triangle or square.

The equation for finding the circumference is as follows:

[tex]2\pi r[/tex]

r - the radius, or half-way line is a circle.

So, you see the number thats on a half way line in the circle? That is the radius. All you have to do is plug in that number into the equation (for r), and you get the answer.

#3

r = 15

[tex]2\pi (15) = 30\pi \\[/tex]

Now use a calculator and type in 30, then times it by pi (which is this symbol: [tex]\pi[/tex])

Circumference = 94.248

#4

r = 10

[tex]2\pi (10) = 20\pi \\[/tex]

Circumference = 62.832