Which statements regarding the diagram Triangle EBC are true? Select three options
•Angle BEC is an exterior angle
•Angle DEC is an exterior angle
•Angle ABE and EBC are supplementary angles
•Angle BCF and DEC are supplementary angles
•Angle BEC us a remote interior angle to exterior angle BCF​

Answer:

x = 4.8

AC = 16.8

Step-by-step explanation:

From the picture attached,

In ΔABE and ΔACD

BE║CD, and the AC and AD are the transversal lines.

∠ABE ≅ ∠ACD [Corresponding angles]

∠AEB ≅ ∠ADC [Corresponding angles]

ΔABE ~ ΔACD [By AA property of similarity of two triangles]

And by the property of similar triangles, corresponding sides of the similar triangles are always proportional.

[tex]\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}[/tex]

[tex]\frac{x+12}{12}=\frac{10+4}{10}[/tex]

[tex]\frac{x+12}{12}=\frac{14}{10}[/tex]

10(x + 12) = 12 × 14

10x + 120 = 168

10x = 168 - 120

x = 4.8

AC = x + 4.8

     = 12 + 4.8

     = 16.8

Answer:

y = [tex]\frac{-1}{2}x^{2}[/tex] + 4x + 0

Step-by-step explanation:

y = -1/2x(x-8)  (distributive property of equality)

y = -1/2x^2 + 4x + 0

Vertex form : y = ax2 + bx + c

There is no C so you can also represent that by putting a zero so,

y = -1/2x^2 +4x + 0,

Which is the same as,

y = [tex]\frac{-1}{2}x^{2}[/tex] + 4x + 0

exept

less confusing lol.

Ace Carlos

Answer: c. -6+4i

Step-by-step explanation:

edge2020

Answer:

C: –6 + 4i

Step-by-step explanation:

Took the quiz

Answer:

a) -19/2

Step-by-step explanation:

3(x+6)+6x+9=7x+8

3x + 18 + 6x + 9 = 7x + 8

3x + 6x - 7x = 8 - 18 - 9

2x = -19

2x/2 = -19/2

Therefore, x = -19/2

Answer:

r = 7

Step-by-step explanation:

60 = -24 + 12r​

+24  +24

84 = 12r

84 ÷ 12 = r

7 = r

Check:

60 = -24 + 12r

-24 + 12(7)

-24 + 84 = 60

Answer:

7

Step-by-step explanation:

Answer:

where is number line

Step-by-step explanation:

Answer: -1 2/4 is the opposite of 1 2/4

Step-by-step explanation: On the number line the P represents 1 2/4, so the opposite of that is -1 2/4.

Also as I stated before I recently did this test.

FLVS right, segment practice test?

Hope this helped fellow FLVS student!!

Answer:

0, negative 9 and your welcome

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

9(s+g)

Step-by-step explanation:

Actually it's not...

Answer: First, you need to figure out 22 times 2 = 44. Then, you need to multiply the original ratio by 44 to get the answer.

Step-by-step explanation:

Answer:

First you need to creative graph or a table. Then look at how much water and how much you drink mix there is add that up and see if you get it then whatever you get divide that by 22. If that doesn’t help what you do is take the 8÷22 and the 22÷3 and that should tell you how much you need for each one

Step-by-step explanation:

Answer:

I got 25z^2−15z+2

Step-by-step explanation:

But if the answer shown is the correct answer, I think your computer read wrong, because those answers are the exact same :/

Answer:

The answer is 25z^2+2-15z

Step-by-step explanation:

The form one will often see polynomials in is called standard form. It is when the terms are ordered in highest degree to lowest degree. For example, when given the polynomial x4+2x3+x+11, it is in standard form because 4 is the highest power, then 3 and 1.

Answer: 8 cars are needed for the field trips.

Answer:

A: Yes

Step-by-step explanation:

Each input has exactly one output! So each x value has exactly one y output. hope this helps!

Answer:

2.125 liters of juice

Step-by-step explanation:

Total liters of juice = 9

Total liters left = 0.5

Total liters used = Total liters of juice - Total liters left

= 9 - 0.5

= 8.5

Total liters used = 8.5 liters

He pours equal amounts of the juice into 4 pitcher

Liters per pitcher = Total liters used / number of pitchers

= 8.5 / 4

= 2.125 liters

Liters per pitcher = 2.125 liters

Each pitcher has 2.125 liters of juice

Answer:

2.20

Step-by-step explanation:

So add +2 both sides that cancels 2 and that makes it -11.00 now divide it by -5 and x is by itself

So when you divide it x=2.20

Hope that helps

Answer:

$0.85

Step-by-step explanation:

6.8/8 which is 0.85.

Hope this helps plz mark brainliest :D

Answer:

Step-by-step explanation:

divide 6.80 by 8 to get the unit price.

6.80/8= 0.85 a piece

Answer:

the slope is 10

Step-by-step explanation:

you do rise over run, 10/1

Answer:

the slope is 10/1 or 10

Step-by-step explanation:

Using synthetic division, a summary statement in fraction form of the polynomial division is; 2x² + x + 3 - (13/(x + 1))

We are given the polynomial fraction as;

(2x³ + 3x² + 4x - 10)/(x + 1)

This means that we want to divide the polynomial (2x³ + 3x² + 4x - 10) by (x + 1) using synthetic division.

For the divisor, we have x + 1, and that means x + 1 = 0, x = -1

So, we'll be using -1 for the synthetic division and we have;

-1  |   2     3     4    -10

      ×      -2     -1    -3        

    -------------------------

      2      1      3     -13

Now we will form the expression in the form of fraction again

2x² + 1.(x) + 3 - 13/(x + 1)

Read more about Synthetic Division at; https://brainly.com/question/24662212

#SPJ1

Answer:A

Step-by-step explanation:

Answer:

Both Tom and Katie

Step-by-step explanation:

When multiplying a whole number by a positive fraction smaller than 1, the answer is always smaller than the original number.

Examples:

5 · [tex]\frac{1}{2}[/tex] = 2 [tex]\frac{1}{2}[/tex] or 2.5

6 · [tex]\frac{3}{4}[/tex] = 4 [tex]\frac{1}{2}[/tex] or 4.5

14  · [tex]\frac{1}{3}[/tex] = 4 [tex]\frac{2}{3}[/tex]

When dividing a whole number by a positive fraction smaller than 1, the answer is always bigger than the original number.

Examples:

5 ÷ [tex]\frac{1}{2}[/tex] = 10

6 ÷ [tex]\frac{3}{4}[/tex] = 8

14  ÷ [tex]\frac{1}{3}[/tex] = 42

hope this helps!

Answer:

24$

Step-by-step explanation:

because 120 ÷ 5 is 24

Answer:

ooo easy

Step-by-step explanation:

Answer:

-7,-12

Step-by-step explanation:

did this before

Answer:

274

Step-by-step explanation:

5(54)+4 = 274

Answer:

[tex]\frac{5}{4}[/tex] would be the perpendicular slope.

Answer:

84

Step-by-step explanation:

[tex]-2(-42)\\2(42)\\84[/tex]

two negatives cancel out.

Hope this helps plz hit the crown :D

Answer:

its 84

Step-by-step explanation:

because when minus multiplies minus it's becomes + and 2× 42 is 84

Answer:

3

Step-by-step explanation:

15 - 2(7 - x) = 7

collect like terms

-2(7 - x) = 7 - 15

-2(7 - x) = -8

divide both sides by -2

7 - x = -8/-2

7 - x = 4

collect like terns

-x = 4 - 7

-x = -3

dividing both sides by -

x = 3

Answer:

Step-by-step explanation:

15-2(7-x)=7

15-14+2x=7

1+2x=7

2x=6

x=3

Answer:

$20 dollars and $10 dollars per hour

Step-by-step explanation:

the line starts at 20 and it escalates by 10 ( 10,20,30,40,50,ect)

i just had a question like this and i'm in middle school, i tried to look for the answer on here but no one answered so when i took time to answer the problem i got it right on the first try.. anyway i hope this helps .!