find the value x from the diagram below and then find M ∠ ABC

The value of  ∠EBD is 66°

Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal. Therefore,

∠EBA≅∠CBF

Therefore,

∠EBA = 40 - x

∠EBA  + ∠EBD = 90°(complementary angles)

Therefore,

40 - x + 6x - 30 = 90

5x = 90 + 30 - 40

5x = 80

x = 80 / 5

x = 16

Therefore,

∠EBD = 6(16) - 30 =  66°

learn more on angles here: https://brainly.com/question/10987237

PART 1: Julie is incorrect ; 15/4 ≠ 3/2

PART 2: LIZ IS CORRECT

Tyler can buy at most 8 songs.

We have given that,Tyler solved an inequality to determine the number of songs he can buy with a $20 credit at his favorite music website.

inequality, In mathematics, a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

A number line going from 5 to 13.

A solid circle is at 8.

Therefore,from the given we can say that,

he cannot buy no more than 8 songs.

Therefore,Tyler can buy at most 8 songs.

To learn more about the inequality visit:

https://brainly.com/question/20519560

Answer:

29/90

Step-by-step explanation:

Use the formula:

((DN x F) - NRP)/D

DN = Decimal Number

F = 10 if one repeating number, 100 if two repeating numbers, 1000 if three repeating numbers, etc.

NRP = Non-repeating part of decimal number.

D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, etc.

((0.32 x 10) - 0.3)/9

= 2.9/9  = 29/90

Answer:

Step-by-step explanation:

4 and 25

Ans The orange shoe lace

Step-by-step explanation:

Question :-

Answer :-

[tex] \rule {210pt} {2pt} [/tex]

Given :-

To Find :-

Solution :-

As per the provided information in the given question, we have been given that Length of Rectangle is 9.6 cm . Breadth of Rectangle is given 7.9 cm . And, we have been asked to calculate the Perimeter of Rectangle .

For calculating the Perimeter , we will use the Formula :-

[tex] \bigstar \: \: \boxed {\sf { \: Perimeter \: _{Rectangle} = 2 \times [ \: Length + Breadth \: ] \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

⇒ Perimeter = 2 × [ Lenght + Breadth ]

⇒ Perimeter = 2 × [ 9.6 + 7.9 ]

⇒ Perimeter = 2 × 17.5

⇒ Perimeter = 35

Hence :-

[tex] \underline {\rule {210pt} {4pt}} [/tex]

Note :-

Answer:

please mark brainlyest

6 = 200

12 = 400

18 = 800

24 = 1600

30 = 3200

36 = 6400

42 = 12800

48 = 25600

In theory assuming none of them die and they reproduce at a constant rate.

The volume of the cone is [tex]\frac{1}{3} \pi r^{2}h[/tex]

Volume = [tex]\frac{1}{3} \pi (6)^{2} *6=226.08ft^{3}[/tex]

Hope that helps!

Answer:

you will save 7.50$ and the sales price will be 42.50$

Step-by-step explanation:

15% of 50 is 7.5

Answer:

11

...

...

...

...

.........

Answer:

402 cows per farm

Step-by-step explanation:

12060/30

=402

Answer: sin=7/13,cos=2.sqrt30/13

Step-by-step explanation:

SOH COH TOA  

sin=opp/hyp,cos=adj/hyp

Use pyth. theorem to find the adjacent of C.

13^2 =7^ + b^2

169 = 49 + b^2

120 = b^2

sqrt120 = sqrtb

2.sqrt30 = b is the missing side.

Answer:

Penelope is 14 years old.

Step-by-step explanation:

- Jaslin is 9 years old (since she'll be 12 in 3 years)

- So, you multiply 9 by 3 (since Penelope is 3 times Jaslin's age), which gives you 27.

- Then minus 13 from 27 (since we're solving for how old Penelope was 13 years ago), which gives you 14

Hope this helps!

Answer:

c

Step-by-step explanation:

divide 96 by 1.5 and you'll get 64

Answer:

64

Step-by-step explanation:

I first go through every answer and multiply it by 1 and then dvide it by 2 and add it onto the first number. The answer that makes sence here is 64.

64/2 = 32

64 + 32 = 96

Have an amazing day!

PLEASE RATE!

[tex]\\ \rm{:}\dashrightarrow p+120=180[/tex]

[tex]\\ \rm{:}\dashrightarrow p=60[/tex]

And

Now

[tex]\\ \rm{:}\dashrightarrow r+65=180[/tex]

[tex]\\ \rm{:}\dashrightarrow r=115[/tex]

So

[tex]\\ \rm{:}\dashrightarrow x=q(Opposite interior angles)=65[/tex]

Answer:

p = 60°

r = 115°

q = 65°

y = 60°

x = 65°

Step-by-step explanation:

Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.

Therefore, the linear pairs are:

   p + 120° = 180°

⇒ p = 60°

   r + 65° = 180°

⇒ r = 115°

-----------------------------------------------------------------------------------

Vertical angle theorem: a pair of opposite angles formed by intersecting lines.  Vertical angles are always congruent (equal).

Therefore, the vertical angles are q and 65°:

⇒ q = 65°

-----------------------------------------------------------------------------------

Consecutive interior angle theorem:  if a transversal intersects two parallel lines, each pair of consecutive interior angles is supplementary and so their measures sum to 180°.

Therefore, the consecutive interiors angles are:

   120° + y = 180°

⇒ y = 60°

   x + r = 180°

⇒ x + 115° = 180°

⇒ x = 65°

Answer:

The volume will be multiplied by 8.

Step-by-step explanation:

If the sides are doubled, what is going to happen to the volume? First, let's find out what the initial volume is first!

The side lengths are 2 meters. With squares/cubes, all sides are equal.

So, the length, height, and width are the same.

For the volume, we need to multiply those values.

2*2*2=8 meters

That's the initial volume.

Now, let's find out what the volume will be once we've double the side values.

2*2=4

The side values are now four.

Let's multiply!

4*4*4=64 meters

It looks like the volume multipled by eight fold.

Answer:

A: 2,500×H. B=20,000 passengers

Answer:

need PPO

Step-by-step explanation:

need points I am 5 grade student sorry

Answer: 3/2

Step-by-step explanation:

We can start by converting 3 1/3 to an improper fraction. Since 3 is equal to 9/3, 3 1/3 would be equal to 9/3 + 1/3 = 10/3.

Therefore, we are doing [tex]\frac{5}{\frac{10}{3}}[/tex].

Dividing 5 by 10/3 is the same as multiplying 5 and the reciprocal of 10/3, which is 3/10.

5*3/10 = 15/10 = 3/2.

Answer:

x > 3

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

Step 2: Divide both sides by 3.

Therefore, the solution is x > 3.

Answer:

[tex]\displaystyle 3 < x[/tex]

Step-by-step explanation:

[tex]\displaystyle 3x + 7 > 16 \hookrightarrow \frac{3x}{3} > \frac{9}{3} \\ \\ x > 3[/tex]

The above answer is written in reverce, and is still the same result.

*Now, in case you did not know how we arrived at the division, seven was deducted from both sides of the inequality to give you [tex]\displaystyle 3x > 9.[/tex]From there, we splat both sides in third to give you the above result.

I am joyous to assist you at any time.

Answer: They will end up paying $2,400.

Step-by-step explanation:

Since the annual interest rate is 8% of $10,000, take 8% of 10,000 by multiplying these numbers. This gives you $800.

This is only the annual interest rate, the Todd family's loan and interest isn't paid until 36 months have passed. Since 36 months is equal to 3 years, we can multiply the annual rate by 3. (800*3)

The Todd family will pay $2,400 in interest by the end of the period.

Answer:

71.6875 pounds of patatoes.

Step-by-step explanation:

9.25x7.75 = 71.6875

Answer:

5/7

Step-by-step explanation:

When you reduce 150/210 you get 5/7, this is the reduced form

Answer:

The volume is ten(10)and the surface is also ten(10)

Answer:

It's a direct variation, as the ratio between x and y is constant

Answer:

4π cm²

Step-by-step explanation:

The area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 2 centimeters, and we have to solve in terms of pi.

Therefore, the answer is 4π cm².