Given: m∠AEB = 45°
∠AEC is a right angle.

Prove: Ray E B bisects ∠AEC.

3 lines extend from point E. A horizontal line extends to the left to point A and a vertical line extends up to point C. Another line extends halfway between the other 2 lines to point B. Lines A E and E C form a right angle.
Proof:
We are given that m∠AEB = 45° and ∠AEC is a right angle. The measure of ∠AEC is 90° by the definition of a right angle. Applying the ______________
gives m∠AEB + m∠BEC = m∠AEC. Applying the substitution property gives 45° + m∠BEC = 90°. The subtraction property can be used to find m∠BEC = 45°, so ∠BEC ≅ ∠AEB because they have the same measure. Since Ray E B divides ∠AEC into two congruent angles, it is the angle bisector.

Select a sentence to fill in the blank.

Segment addition property
angle addition postulate
reflective property
transitive property

Answer:

For nitrogen to be a liquid, its temperature must be within 12.78 °F of -333.22 °F. The equation |x + 333.22 | = 12.78 can be used to find x, which represents the maximum and minimum temperatures at which nitrogen is a liquid.

Hope this helps! :D

Answer:

the final amount is 1,135

Step-by-step explanation:

The computation of the final amount is shown below:

= Amount × (1 + increased percentage)

= 1102 × (1 + 0.02)

= 1102 × 1.02

= 1124.04

Now the additional one percent increase is

= 1,124.04 × 1.01

= 1,135

Hence, the final amount is 1,135

The same is to be considered

Answer:

s = 150f

Step-by-step explanation:

A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.

The amount of sugar in milliliters = s

The amount of flavor packages for these recipe = f

The relationship between 2 variables

= y ∝ x

y = kx

k = constant of proportionality

Hence:

s ∝ f

s = kf

Note ,

s = 300

f = 2

300 = 2k

k = 300/2

k = 150

Therefore, the equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe is:

s = kf

s = 150f

Answer:

2=150f

Step-by-step explanation:

khan said so

Answer:

10 x 3 + x 2 -7 x

Step-by-step explanation:

Answer: 10x^3

Step-by-step explanation:

Answer:

take the x together

then

2=7x-3x

2=4x

2/4=x

2=x

2 is your ans

I hope it helps mate

I will always help you understanding your assingments

have a great day

#Captainpower:)

Answer:

4%

Step-by-step explanation:

8/200 = 0.04

Answer:

1   5/7

Step-by-step explanation:

well lets show you!!

6/7 ÷ 1/2 = (Always flip the fraction on the right side) 6/7 x 2= 12/7 = 1   5/7

Hope this helps ∞<3

Answer:

36

Step-by-step explanation:

16*2 = 32

16*1/4 = 4

32+4 = 36

Answer:  She will need 36 yards of material.

Step-by-step explanation:

16 × 2¹/₄ can be done different ways,

First multiply ¹/₄ times 16. that is the same as dividing 16/4 = 4

Then multiply 2 times 16  2×16 = 32

Add 32 + 4 = 36

Another way is to change 2¹/₄ to an improper fraction and multiply

⁹/₄ × 16

   16

  ×9

   54  

+9  

 144

144/4 = 36

Answer:

uh you didnt put the picture please put the picture i really want to help you:)

Step-by-step explanation:

Answer:

bra

Step-by-step explanation:

Answer:

1 solution

Step-by-step explanation:

Given

- 3n = - 10 - 2n ( add 2n to both sides )

- n = - 10 ( multiply both sides by - 1 )

n = 10

Answer:

m<C=31

m<D=76

m<DEC=73

Step-by-step explanation:

Do you need it? Reply if you do

Answer:

60 I

Step-by-step explanation:

because it would be 15 times 4 right I think

Answer:

1

Step-by-step explanation:

Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. So, how does this work?

We can think of 5.6 x 10-9 as the product of two numbers: 5.6 (the digit term) and 10-9 (the exponential term).

Here are some examples of scientific notation

Answer:

-15, -17

Step-by-step explanation:

x^2 + 32x = –255 move the -255 to the left

x^2 + 32x +255=0

What two number when multiplied equal 255? Those same two numbers when added make 32. 17*15 make 255 and added is 32

(x+15)(x+17) For x+15=0 move the 15 to the other side. x= -15. Same with x+17=0 is x= -17

x= -15, -17

Answer:

x= -9

Step-by-step explanation:

-8-3x+8=27

-8+8=0

-3x=27

divide by -3 both sides

27÷-3= -9

x= -9

Answer:

1/32 or in decimal form 0.313

Each dog will receive 1/32 pounds of dog treat.

Unitary method is first obtaining the value of a single unit then deriving the given unit from it by multiplying it.

Suppose in 1 hour a car can go 50 miles,So in 3 hours it will go to (3×50) = 150 miles.

According to the given question a pet store owner has a 1/2 -pound bag of dog treats that she divides evenly among 16 dogs.

∴ Each dog will receive (1/2)/16 pounds of dog treat which is

= 1/2×1/16 pounds of dog treat.

= 1/32 pounds of dog treat.

learn more about unitary method here :

https://brainly.com/question/23423168

#SPJ2

Answer: y= 3x+62

Step-by-step explanation: m= y₂-y₁/x₂-x₁

m= 80-62/6-0

m= 18/6

m=3

y-y₁=m(x-x₁)

y-62= 3(x-0)

y-62= 3x-0

y= 3x+62

Answer:

this isn't an answer just need these points

Step-by-step explanation:

Answer: Big Lift Equipment

Step-by-step explanation:

From the question,

High Top Cranes charges $744 for delivery and $3,290 per day. Since Builder's Construction Company leases a crane for 11 days, the cost will be:

= $744 + $3290(11)

= $744 + $36190

= $36934

Big Lift Equipment charges $1,428 for delivery and $3,214 per day. Since Builder's Construction Company leases a crane for 11 days, the cost will be:

= $1428 + $3214(11)

= $1428 + $35354

= $36782

Based on the calculations, Big Lift Equipment has a lower cost

Answer:

45

Step-by-step explanation:

Answer:

a = 45

b = 15

Step-by-step explanation:

From the information given, you can deduce that both ΔPQR and ΔPSR are isosceles triangles that share base PR. This means that ∠a = ∠SRP because the base angles of an isosceles triangle are always congruent.

Because the vertex of ΔPSR is 90°, you know that the base angles add up to 90 because 180(sum of a triangle's angles) - 90 = 90. 90/2 = 45, so a = 45.

To find b, you need to subtract the base angle of ΔPSR from the base angle of ΔPQR. ΔPQR's base angle is 60, because 180 - 60 = 120 and 120/2 = 60. 60 - 45 = 15, so b = 15.

Answer:

The first term should be positive

She did not distribute the -4 properly

She added [tex]\frac{2}{7}[/tex] to negative -4 instead of multiplying

Step-by-step explanation:

In order to tell where she is wrong we should solve the question our selves. we are going to get the following......

[tex]-4(-3x + \frac{2}{7})= -4(-3x) + (-4)(\frac{2}{7} )= 12x - \frac{8}{7}[/tex]

So now we see that the three things she did wrong are.

The first term should be positive

She did not distribute the -4 properly

She added [tex]\frac{2}{7}[/tex] to negative -4 instead of multiplying

Hope this helps :)

Answer:

1, 4

Step-by-step explanation:

1. the product of two negatives are positive and they didn't do that, so yes.

2. the second term should NOT be positive, so they are correct on that.

3. they distributed the -4 correctly but added wrong, so they are correct on that.

4. -4+2/7=3 5/7    2/6(-4)=-4/3.  They added instead of multiplying, so they are wrong.

5.  they did simplify completely.  they just did it wrong.

Step-by-step explanation:

Read the poem. excerpt from “Spring” by Christina Rossetti Frost-locked all the winter, Seeds, and roots, and stones of fruits, What shall make their sap ascend That they may put forth shoots? Tips of tender green, Leaf, or blade, or sheath; Telling of the hidden life That breaks forth underneath, Life nursed in its grave by Death. Which line from the poem contributes most to a hopeful tone? "Telling of the hidden life" "Frost-locked all the winter," "Life nursed in its grave by Death." "What shall make their sap ascend"

Answer:

FIRST OPTION

-1, 1 1/2, 2, 3, 3.5

Step-by-step explanation:

Step-by-step explanation:

3(x+2)-(2x-1)=4(3-x)

3x+6-2x+1=12-4x

3x-2x+4x=12-6-1

5x=5

x=1

Answer:

x=1 2/5

Step-by-step explanation:

3x+6-2x-1=12-4x

x+5=12-4x

  -5   -5

x=7-4x

+4x  +4x

5x=7

/5   /5

x=7/5

x=1 2/5

Answer:

60 hope this helps!

Step-by-step explanation:

45-(-15) = 60

Answer:

Well person, it's 60 feet.

Step-by-step explanation:

Because it is simple math. You just add 45 and 15 then BOOM! ANSWER

Answer:

Neil would buy 4 packages of hamburger patties and 5 packages of hamburger buns. He could make 20 burgers.

Step-by-step explanation:

Expand log (10^x).

x = 21

Answer:

10x=21

divide both sides by 10

WIll equal x=2.1

Answer: Number of Men = 44;

Number of Women = 64

Step-by-step explanation:

Let the number of men be x

At a party there were 20 more women than men. This means the number of women = x + 20

Since the men paid Rs 30 each, the women Rs 20 each, and the total receipts 2600. This will be represented in an equation as:

(30 × x) + [20 × (x + 20)] = 2600

30x + 20x + 400 = 2600

30x + 20x = 2600 - 400

50x = 2200

x = 2200/50

x = 44

The number of men = 44

Number of women = 44 + 20 = 64

Answer:

10 not in

5 in

0 not in

Step-by-step explanation: