Given: In this figure, `/_AED` and `/_BEC` form a pair of vertical angles. Prove: `/_AED ~= /_ BEC `. Match each statement to its corresponding reason. Drag the items on the left to the correct location on the right.

Given: In This Figure, `/_AED` And `/_BEC` Form A Pair Of Vertical Angles. Prove: `/_AED ~= /_ BEC `.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given: In This Figure, `/_AED` And `/_BEC` Form A Pair Of Vertical Angles. Prove: `/_AED ~= /_ BEC `.
Answer 2

The matched statement to its corresponding reason for the given alternate interior angles as:

Given: Let points A, B, and C form a triangle.

definition: Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.

Congruent angles: m∠1=m∠4, m∠3 = m∠5

Linear pair theorem: m∠4+m∠2+m∠5 = 180°

As per the shown figure,

Given:

Let points A, B, and C form a triangle.

Defining a parallel line and labeling angles:

Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.

Alternate Interior Angles Theorem:

∠1=∠4

∠3 = ∠5

Congruent angles have equal measures:

m∠1=m∠4

m∠3 = m∠5

Definition of a straight angle and angle addition:

m∠4+m∠2+m∠5 = 180°

Substitution:

m∠1 + m∠2 +m ∠3 = 180°

Learn more about Alternate exterior Angles here:

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Related Questions

Andrew walks 2000 feet from his house to his office. What distance does he cover?
A. 18,000 in.
B. 24,000 in.
C. 25,000 in.
D. 30,000 in.

Answers

The answer is B. 24,000 in.

Mention 3 places
where you can get
pre-approved for a
car loan

Answers

Answer:

Auto Credit Express, Carvana, Capital one auto loan

PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GET IT RIGHT

Answers

Answer:

neither, since the gradients are not the same, as well as the c value

Step-by-step explanation:

First line : y = -4x + 7

Second line : y = -4x + 3

We know that the standard form of equation of a line is y = mx + c

where :

m is the slope

c is the y intercept

Comparing both line equations with the standard form, we can notice that :

 Slope of the first line = -4

 Slope of the second line = -4

We know that Slopes of parallel lines are same

So, We can conclude that the given two lines are parallel to each other

Answer : Parallel because the slopes are the same

The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year. A possible formula for the concentration C as a function of year tis:
(a) C 85 +4.6t
(b) C-85-4.6t .
(c) C-85 +0.046t
(d) C-85 -0.046
(e) C = 85 (0.046)
(f) C-85 (0.954)
(g) C = 85 (1.046)
(h) C-85(1.46)
(i) C85(0.46)
(j) C-4.6 (0.85)

Answers

Answer:

[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.

Step-by-step explanation:

Equation for an concentration increasing exponentially:

The concentration after t years, considering that it increases exponentially, is given by the following equation:

[tex]C(t) = C(0)(1 + r)^t[/tex]

In which C(0) is the initial concentration and r is the growth rate, as a decimal.

The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year.

This means that [tex]A(0) = 85, r = 0.046[/tex]. Thus

[tex]C(t) = C(0)(1 + r)^t[/tex]

[tex]C(t) = 85(1 + 0.046)^t[/tex]

[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.

I’m having a hard time anyone knows??

Answers

Answer:

65

Step-by-step explanation:

See image below:)

{2x + y = -1}
{3x- 5y + -21}

Answers

Answer:

(-2, 3).

Step-by-step explanation:

2x + y = -1

3x- 5y = -21

Multiply the first equation by 5:

10x + 5y = -5     Adding this to the second equation:

13x = -26

x = -2.

Substituting this into equation 1:

2(-2) + y = -1

y = -1 + 4 = 3.

Checking this result in the second equation:

3(-2) - 5(3)

= -5 - 15 = -21

- Checks OK.

What is The sum of b and 11

Answers

B+11 ? I’m not sure is this high school math ?

Find the ratio please help :mathematics

Answers

Answer:

answer is 19:13 .............

2 Probability of people that like cheese and can’t ride a bike

3 find the marginal probability of people that like pepper pizza

4 find the conditional of ppl that like cheese given that they can’t ride a bike

Use the table!!!!!!! QUICKKKKKK

Answers

Answer:

i think its 60%

Step-by-step explanation:

if its wrong im rlly sorry

mark me as brainliest if its right pls

Jalen plots two integers on a horizontal number line. The leftmost integer is negative. Which must be true of the second integer

Answers

Answer:

The second integer is greater than the first.

Step-by-step explanation:

Since the first integer is the leftmost out of the two, this means that the second one must be greater than the first since it is to the right of it.

Answer:

c

Step-by-step explanation:

If x=4 and y=5. The value of 3x-5y​

Answers

Answer:

13, I believe :)

Step-by-step explanation:

3(4)-5(5)

multiply by the coefficient

=12-25

=-13

PLEASE ANSWER!! Solve for angle Z using the Sine Law. Round to the nearest degree.

Answers

Answer:

Z = 51º

Step-by-step explanation:

sinZ/12.5 = sin76/15.5

multiply both sides by 12.5

sinZ = sin76/15.5 * 12.5

Use calculator

sinZ = 0.782496553448384

Z = arcsin 0.782496553448384

Use calculator again

Z = 51.48972926377471º

Rounded

Z = 51º

Solve the equation a=m-n for the variable n

Answers

Answer:

m-a = n

Step-by-step explanation:

a=m-n

Subtract m from each side

a-m = m-n-m

a-m = -n

Multiply each side by -1

-a+m = n

m-a = n

An eagle flies towards south luzon at 90 meters for 5 seconds . What is the speed and velocity of the eagle

Answers

Answer:

the speed in 18mph

Step-by-step explanation:

50% of the trees are fruit trees .this means that?

Answers

Answer:

Half of the trees are not fruit trees

Answer:

It means that half of the trees are fruits while the other half sprouts vegetables.

Step-by-step explanation:

100% (trees) / 2 (types of trees, in this case, fruits and vegetables) = 50% (fruit trees) : 50% (vegetable trees)

A certain country has 586.08 million acres of forest. Every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left? (Use an equation to solve this problem.)

Answers

Answer:

At this pace the country will have only 237.6 million acres of forest left in 44 years.

Step-by-step explanation:

Given that a certain country has 586.08 million acres of forest, and every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes, to determine, if this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left, the following calculation must be performed:

Current amount - (amount lost per year x number of years) = 237.6

586.08 - (7.92 x X) = 237.6

586.08 - 7.92X = 237.6

-7.92X = 237.6 - 586.08

-7.92X = -348.48

X = -348.48 / -7.92

X = 44

Therefore, at this pace the country will have only 237.6 million acres of forest left in 44 years.

A rectangular garden covers 80 yd?. The length is 7 yd longer than the width. Find the length and width.
Round your answers to the nearest tenth of a yard.

Answers

Answer:

The width of the rectangle is 6,105 yards, and the length of the rectangle is 13,105 yards.

Step-by-step explanation:

Given that a rectangular garden covers 80 square yards, and the length is 7 yd longer than the width, to find the length and width of the rectangle the following calculation must be performed, knowing that the area of a rectangle arises from multiplying its width by its length:

X x (X + 7) = 80

5 x 12 = 60

6 x 13 = 78

8 x 14 = 112

6.1 x 13.1 = 79.91

6,105 x 13,105 = 80

Therefore, the width of the rectangle is 6,105 yards, and the length of the rectangle is 13,105 yards.

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increases by 10% in 10 years. What will be the population in 20 years? (Round your answer to the nearest person.)
510

Incorrect: Your answer is incorrect.
persons
How fast (in persons/yr) is the population growing at
t = 20?
(Round your answer to two decimal places.)
persons/yr

Answers

Answer:

The right answer is "605 persons".

Step-by-step explanation:

Given that,

⇒ [tex]\frac{dP}{dt} \alpha P[/tex]

or,

⇒ [tex]\frac{dP}{dt} =RP[/tex]

⇒ [tex]\frac{1}{R} \int\limits^{PT}_{500} {\frac{dP}{P} } = \int\limits^{t}_{0} dt[/tex]

⇒ [tex]\frac{1}{R} [log PT-log500]=t[/tex]

⇒                  [tex]log[\frac{PT}{500} ]=Rt[/tex]

At t = 10 years,

⇒ [tex]PT=\frac{110}{100}\times 500[/tex]

          [tex]=550[/tex]

∴ [tex]log[\frac{550}{500} ]=R\times 10[/tex]

            [tex]R=\frac{log(1.1)}{10}[/tex]

At t = 20,

⇒ [tex]log{\frac{PT}{500} }=\frac{log \ 1.1}{10}\times 20[/tex]

        [tex]PT=500\times (1.1)^2[/tex]

              [tex]=605 \ persons[/tex]

the premeter of a rectangle is 326cm and its lenght is 98cm find its breath and area​

Answers

Perimeter = 2(length+breadth)

326= 2(98+b),

breadth= 65 cm

Area of rectangle = l×b = 98×65= 6370cm²

3. An expandable cone-shaped funnel consists of two sections as shown. (a) What is the volume of the bottom section? (b) What is the volume of the top section?

Answers

Answer:

1. Volume of cone =  

where h is the height of the cone and r is the radius.

2. The bottom section is a cone with radius 6/2 = 3 (cm) and height= 8 cm

so the volume =  ()

3. The volume of the top section is the volume of the cone - volume of bottom cone, which we already found.

V(cone)=

V(top section)=192-24=168

Step-by-step explanation:

if the pictures cost .29 cents and you have 353 pictures how much would it could all together

Answers

Answer:

102.37

Step-by-step explanation:

.29*353=102.37

It would be $102.37

353 pictures times 0.29 per picture=102.37

please help me with these questions

Answers

Answer: 24- b 25- c 26- b 27- c

Step-by-step explanation:

please help
no links please

Answers

Answer:

3rd choice

Step-by-step explanation:

multiply by 9/5: F=9/5 C

then add 32: F = 9/5C +32

Case Study 2
Based on the success of their new treatment for sickle cell disease,
Amitye-Baane-Fortaleza research team decided to start a new company and
open a research center dedicated to curing diseases that disproportionately
affect Black people in the United States and around the world. They hired
an engineering and architecture firm called Bishapham-Cummins, Rice,
and Holloway LLC. They assigned their lead architects Fatoumata Sylla
and Leudy Tejada, along with lead engineers Jerome Wade, Neveah
Rodrigues and Jarell Hunte to design and build the new research center
based on the following square pyramid scale outline:

Answers

Answer:

good for them i think

Step-by-step explanation:

this doesnt make any sense

Seventy-six percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 67% have an emergency locator, whereas 88% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.)

Required:
a. If it has an emergency locator, what is the probability that it will not be discovered?
b. If it does not have an emergency locator, what is the probability that it will be discovered?

Answers

Answer:

a. 0.0535 = 5.35% probability that it will not be discovered

b. 0.9465 = 94.65% probability that it will be discovered

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. If it has an emergency locator, what is the probability that it will not be discovered?

Event A: Has an emergency locator.

Event B: Not discovered.

Probability of having an emergency locator:

67% of 76%(discovered).

100 - 88 = 12% of 100 - 76 = 24%(not discovered). So

[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]

Probability of having an emergency locator and not being discovered:

12% of 24%. So

[tex]P(A \cap B) = 0.12*0.24[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12*0.24}{0.538} = 0.0535[/tex]

0.0535 = 5.35% probability that it will not be discovered.

b. If it does not have an emergency locator, what is the probability that it will be discovered?

Event A: Has an emergency locator.

Event B: Discovered.

Probability of having an emergency locator:

67% of 76%(discovered).

100 - 88 = 12% of 100 - 76 = 24%(not discovered). So

[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]

Probability of having an emergency locator not being discovered:

67% of 76%. So

[tex]P(A \cap B) = 0.67*0.76[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.67*0.76}{0.538} = 0.9465[/tex]

0.9465 = 94.65% probability that it will be discovered

sometimes you have to divide the diamter by 2 to get the radius.
true
false

Answers

it is true

tbh am not sure

The answer is true.

simplify this fully x+x+y×y​

Answers

Answer and Step-by-step explanation:

The answer would be 2x + 2y.

This is because we combine the x's together and the y's together. This is the simplest form of the expression.

#teamtrees #PAW (Plant And Water)

Answer:

2x+y^2

Step-by-step explanation:

Collect like terms and rewrite

2x+y*y

maya raised 286.00
lian raised 192.84 less than maya
rei earned 113.25 more than lian

what is the total amount of money raised by all three?​

Answers

Answer:

585.57

Step-by-step explanation:

Maya got 286.00

if lian got 192.84 less than we do 286-192.84 which is 93.16

if lian got 93.16, we add 113.25 to 93.16 to get rei's amount.

113.25 + 93.16 = 206.41

Now we add all their amounts, 286+93.16+206.41

585.57

The side view is a bookend is shown. The perimeter of the bookend is 58 centimeters

Answers

Answer:

Step-by-step explanation:

The equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.

Given that, the perimeter of the bookend is 58 centimeters.

What is the perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Now, the perimeter is

5m-14+2m-7+3/2 m+2+3m+8=58

⇒ 10m+3/2 m-11=58

⇒ (20m+3m)/2=69

⇒ 23m=138

⇒ m=138/23

⇒ m=6

Therefore, the equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.

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To prepare for a party, Mark buys a small bunch of balloons for $6.00 and gift bags that cost $5.15 each. He spends a total of
$72.95 on the balloons and a gift bag for each person invited to the party. Write and solve an equation to find x, the number of
people Mark invited to the party

Answers

Answer: [tex]72.95 =6.00+5.15x[/tex]  , Required equation

The number of  people Mark invited to the party = 13

Step-by-step explanation:

According to the question,

Total amount spent = (Price of bunch of ballons)+(cost per gift) x (Number of persons)

Given: Total amount spent =$72.95 , Price of bunch of ballons =$6.00 ,

cost per gift =$5.15

thus,

[tex]72.95 =6.00+5.15x[/tex]  , Required equation

To solve , first

subtract 6 from both sides, we get

[tex]66.95=5.15x\\\\\Rightarrow\ x=\dfrac{66.95}{5.15}\\\\\Rightarrow\ x=13[/tex]

The number of  people Mark invited to the party = 13

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