In the given figure AB = AC, BAD = 50 and AD = AE. find the value of x

In The Given Figure AB = AC, BAD = 50 And AD = AE. Find The Value Of X

Answers

Answer 1

Answer:

[tex]x=25^o[/tex]

Step-by-step explanation:

Angle sum of a triangle: [tex]< A + < B+ < C=180^o\\[/tex]

Types of Triangles: Isosceles, Equilateral, Scalene

Given AB = AC are two sides of the big triangle, then ΔABC is Isosceles.

Isosceles triangles are defined to have two equal sides and two equal angles (opposite the congruent(equal) sides).

Also, since ABC is defined as a triangle, BC is a straight line, a.k.a., it is a [tex]180^o[/tex] angle. As the image shows, the line, AD creates a right angle on one side, therefore it creates a right angle([tex]90^o[/tex]) on the other side.

Back to Isosceles Triangles, AD = AE means ΔADE is isosceles and <ADE = <AED

Using the Angle sum formula of a triangle, you can fill in <A, <B, and <C with the following:

<A=[tex]50^o[/tex]

<B=<C=y [This is because <ADE = <AED]

[tex]50^o+2y=180^o\\2y=130^o\\y=65^o[/tex]

Now, this means that <ADE=[tex]65^o[/tex] and <ADC =[tex]90^o[/tex]

<x is better seen as <EDC

<EDC+<ADE=<ADC

Since we know <ADE is 65 and <ADC is 90, we can plug in these to the formula above.

[tex]x+65^o=90^o\\x=25^o[/tex]


Related Questions

The normal cruising speed of a certain airplane is about 250 ​m/sec. What is this speed in miles per​ hour? Round to a whole number.

Answers

Answer:

900,000 mph

Step-by-step explanation:

I am assuming the m in he problems is standing for miles.

250m/sec x 60 sec/min x 60min/hour  The sec cross out and the minutes cross out and you are left with miles be hour.

A square field has an area of 22,500 square feet. To the nearest foot, what is the diagonal distance across the field?
A.150 feet
B.178 feet
C. 191 feet
D.212 feet

Answers

A square field has an area of 22,500 square feet, then the diagonal distance across the field in nearest foot is equal to 212 foot (approximately).

As given in the question,

Area of the square field = 22,500square feet

Let 'a' be the side and 'd' be the diagonal length of the square

a² =22,500

⇒a =150 foot

Using Pythagoras theorem

d² =a² +a²

⇒d² = 2(150)²

⇒d² =45000

⇒d =212.13

    ≈ 212 nearest foot (approximately)

Therefore, the diagonal distance across the field in nearest foot is 212 foot (approximately) with  area of 22,500 square feet as given.

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help with 5,6,&7 please!! will mark as brailylist

Answers

mous this mobail phonffyuuyy

I need help with this please

Answers

Answer: m<ABC = 45 degrees, m<DBC = 36 degrees

Step-by-step explanation:

set both equations equal to 81 because they add up to form one angle:

5x + 6 + 9x - 9 = 81

Combine like terms

14x - 3 = 81

Add three to both sides

14x = 84

Divide by 14 to find x

x = 6

To find the angles:

Measurement of angle ABC:

9(6) - 9 = 45 degrees

Take the original angle of 81 and subtract the angle you just found to find the remaining angle:

81 - 45 = 36

Therefore, the angle of DBC is 36 degrees

Subtract. Write your answer as a decimal.

5.5−8.1=

Answers

The answer is -2.6.

The solution of the given expression  [tex]5.5 - 8.1[/tex] in decimal form is [tex]-2.6[/tex] which is a negative integer in decimal form.

The numbers of the number line are called integers. They include positive numbers, zero, and negative numbers.

Zero is neither considered a negative nor a positive number.

[tex]5.5\\[/tex] is a positive number and a smaller number when compared from [tex]8.1[/tex].

When a smaller number is subtracted from a larger number it results in subtraction with a negative sign.

[tex]5.5 - 8.1 \\= -2.6[/tex]

The subtraction of the given expression [tex]5.5 - 8.1[/tex] in decimal form is [tex]-2.6[/tex].

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1-7: MathXL for School: Practice & Problem Solving
Challenge You buy 3.18 pounds of apples, 1.45 pounds of peaches, and 1.71 pounds of pears. What is your total bill?
Grocery Store Prices
Item
Apples
Peaches
Pears
Cost
$0.99 per pound
$1.09 per pound
$1.19 per pound
Your total bill is:
(Round to the nearest cent as needed.)

Answers

The total bill for 3.18 pounds of apples, 1.45 pounds of peaches, and 1.71 pounds of pears is $6.78  .

In the given question

The price of 1 pound apple = $0.99

The price of 1 pound Peaches = $1.09

The price of 1 pound Pears = $1.19

Total pounds of apples bought = 3.18 pounds

price of 3.18 pounds of apple = ( pounds of apple bought)*(price of 1 pound apple)

=3.18*0.99

=$3.15    ...(i)

Total pounds of Peaches bought = 1.45 pounds

price of 1.45 pounds of peaches = 1.45*1.09

                                                 = $1.59    ...(ii)

Total pounds of Pears bought = 1.71 pounds

price of 1.71 pounds of pears = 1.71*1.19

                                                = $2.04     ...(iii)

Total bill = price of 3.18 pounds of apple + price of 1.45 pounds of peaches + price of 1.71 pounds of pears.

Substituting the values from equation (i),(ii)and (iii) we get ,

Total bill = $3.15 + $1.59 + $2.04  

= $6.78

Therefore , the total bill for 3.18 pounds of apples, 1.45 pounds of peaches, and 1.71 pounds of pears is $6.78  .

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Line AL is a perpendicular bisector of segment CM. Which of the following are true

Answers

Triangle ABC is an isosceles right triangle.

Because of A(-8,7) B(-4,2) C(1,6)

So AB=√[-8-(-4)]²+(7-2)²

=√41

BC=√(-4-1)²+(2-6)²

=√42

AC=√(-8-1)²+(7-6)²

=√82

AB=BC

AB²+BC²=AC²

So triangle ABC is an isosceles right triangle.

What is isosceles right triangle?

An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.

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The weight of an organ, an adult males has a bell shaped distribution with a mean of 320 g and a standard deviation of 45 g use the empirical rule to determine the following
A. About 95% of organs will be between what weights?
B. What percentage of organs weighs between 185 grams in 455 grams?
C. What percentage of organs weighs less than 185 grams or more than 455 grams?
D. What percentage of organs weighs between 275 grams in 410 grams?

Answers

I think it’s d or c

If one of the points that this relationship passes through is (,)=(300,10), find the
proportionality constant for this relationship. Round your answer to 3 decimal places.

Answers

Answer:

.033

Step-by-step explanation:

When there is a proportional relationship the constant of proportionality is y/x and in this case that would be  10/300 and that would be .033 rounded to three decimal places.

If 6 -x = 12, what is x - 6?

Answers

Answer: x - 6 = -12

Step-by-step explanation: first, we'll solve for x in 6 - x = 12. We'll isolate the variable by subtracting 6 from both sides, which gives us -x = 6. Now we'll divide both sides by -1 to get x and we will get -6 = x. So for the expression, we'll sub in the value we got for x from the equation, -6. -6 - 6 = -12.

Answer:

-12

Step-by-step explanation:

For what value of x does 3^2x = g^3x-4?

1
2
3
4

Answers

The value of x will be 2. So, Option B is correct for the equation [tex]3^{2x} = 9^{3x - 4}[/tex]

In the given question, the equation is [tex]3^{2x} = 9^{3x + 4}[/tex], we have to find out the value of x. First, we need to re-arrange the equation in order to apply the property of exponents. So,

           => [tex]3^{2x} = 9^{3x -4}[/tex]  => [tex]3^{2x} = 3^{2(3x - 4)}[/tex]

We know according to the property of exponents if [tex]x^{m} = x^{n}[/tex], then m = n.

Similarly, in this equation the base of both RHS and LHS are the same, We get

           => 2x = 2(3x - 4)

           => 2x = 6x - 8   =>  4x = 8

           =>  x = 2

We get value of x = 2.

Hence the value of x for this equation will be 2 and option B is correct.

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What is the result of
36 over 9 + 6?

Answers

Answer: 10

Step-by-step explanation:

First you can re-order = 36/9 + 6

36/9=4

Then add 4+6

It equals 10

The answer is 10. It is a simple math

Steve and Jenna go door-to-door selling chocolate bars. Steve sells 23 chocolate
bars and Jenna sells 12 chocolate bars. Together they collect $210. How should
they divide the money so that each person gets a fair share?

Answers

Answer:

Steve: $138.00

Jenna: $72.00

Step-by-step explanation:

Steve:

[tex]\frac{23}{35}[/tex] x 210 = 138

Jenna:

[tex]\frac{12}{35}[/tex] x 210 = 72

I'm not really sure what this means, but i'll do what i think is right!

Answer:

Steve: $138

Jenna: $72

Step-by-step explanation:

If you're doing it so they each get what they sold, you would have to first add the total number of chocolate bars, giving you 35. To see how much each bar costs, you just have to divide $210 ÷ 35, giving you $6 per chocolate bar.

To give each what they gained, you multiply $6 by whichever amount you chose, 23 or 12, which will give you that person's amount. Steve will get $138 and Jenna will get $72.

hope this helps!

Find the smallest positive integer, n,such that 168n is a square number.​

Answers

Answer:

n = 42 and the square number is 7056

==============================

Prime factors of 168 are:

168 = 2*2*2*3*7

In order to make 168n a square number we need to use each prime factor even number of times.

Add 2, 3 and 7 to the prime factors (as a minimum) to get:

168*2*3*7 = 168*42 = 2⁴*3²*7² = (2²*3*7)² = 84² = 7056

For the given functions f and g, find the requested function.

Answers

Answer:

its 1

Step-by-step explanation:

i just know

Write the number name and expanded form for the number of driver ants that could be in two colonies.
Up to 22000 000 driver ants can live in a single colony

Answers

Number name = 22 million

Expanded form = 20,000,000 + 2,000,000

How to write a number in expanded form?

To write the number name and expanded form for the number of driver ants that could be in two colonies.

Given that Up to 22,000,000 driver of ants can live in a single colony

Now, from number expressions, we know that;

1, 000, 000 = 1 million

Thus number name is;

22,000,000= 22 million

Expanded form of 22,000,000 = 20,000,000 + 2,000,000

Thus, we conclude that;

Number name = 22 million

Expanded form = 20,000,000 + 2,000,000

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(x-j) (5x + k) = 0

How do i find x from this equation

Answers

Answer:

x = 5j-k

Step-by-step explanation:

(x-j) (5x+k) = 0

(x-j) * (5x+k) = 0

x - 5j + k = 0

x + k = 5j

x = 5j - k

Which is a solution of 2x+6>12? x>0 x>3 x>−1 x>5

Answers

Answer:

x>3

Step-by-step explanation:

2x+6-6 > 12-6    ditch the 6

2x/2 > 6/2          divide by 2

x>3

How can u do the 5th problem

Answers

Answer:

3/4 of 5. It equals 3 3/4.

Step-by-step explanation:

The question asks for 3/4 of 5 cups of milk.

You are having a dinner catered. You pay a rental fee of $150 for the dining hall, and you pay the caterer $10 for each person who attends the dinner. How much should you charge per ticket if you expect 50 people to attend? (Round your answer to the nearest cent.)

Answers

Answer:

$13

Step-by-step explanation:

For 50 people it will cost you 150 + 50(10) or 500

150 +500 = 650  Divide that among 50 people and you get a cost of $13 a person.

18
You buy 8 gallons of gasoline and pay $23.20.
a.) Write an equation to represent this situation.
28
So
b.) Find the price of one gallon of gasoline.

Answers

8 ÷ x = 23.20

2.9 per gallon.

Solve
31320= x + (.08x)

Answers

Answer:

Step-by-step explanation:

31320=x+0.08x

31320=1.08x

swap the sides

1.08x=31320

Divide by 1.08

x=29000

Dominie practices the piano 714 minutes in 2 weeks. at what rate did she practice, in minutes per day?

Answers

The number of minutes per day that Dominie practise the piano is 51 minutes per day.

What is the rate of practice?

The first step is to convert two weeks to days.

1 week = 7 days

2 weeks : 7 x 2 = 14 days

The second step is to divide the total minutes Dominie practices by the total number of days. Division is the mathematical operation that is used in grouping a number into equal parts using another number. The result of a division is known as the quotient. The sign used to represent division is ÷.

Number of minutes they practice per day : total practice / number of days in two weeks

714 / 14 = 51 minutes per day

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The graph below defines a function f (x). Find f (2).
3
N
7
s
4
m
14
-2 +
771 ?
1
2345

Answers

N is the answer pls pls help pls pls please pls help me to get some more points

ASAP pls help .....
11 Points

Answers

Answer:

0.008 3repeating

Step-by-step explanation:

0.008 repeating is going to be the answer

The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
A. Two
B. One
C. Zero
D. Infinitely many

Answers

Answer:The correct option is (b) that is One.Step-by-step explanation:

The two lines have only one intersection

[tex]\therefore[/tex] There are only one solution to the system of equation.

Solve the equation P(x) = 8.

Answers

Answer:

Step-by-step explanation:

Luciana claims that if you add numbers with the same sign, the sum is always greater than each of the addends. Is she correct?

Answers

Luciana claims that if you add numbers with the same sign, the sum is always greater than each of the addends. He is incorrect

How to illustrate the information?

From the information, Luciana claims that if you add numbers with the same sign, the sum is always greater than each of the addends.

Let's add (-3) + (-4)

It should be noted that the addition is equal to -7.

It should be noted that this doesn't corelate with what Luciana said.

Therefore, she is incorrect. It's only correct for positive numbers.

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ole has $1,750 to invest. His bank offers two different types of accounts to choose from. Cole will not make any additional deposits or withdrawals. Which account will earn the most interest at the end of 3 years?

Answers

At the end of 3 years second account will earn the most interest, that is $148.38

Given,

The amount Cole has with him = $1750

Two types of account bank offered:

First account has simple interest rate = 2.75% annually

Second account has compound interest rate = 2.75% compounded annually.

Number of years = 3

We have to find the account which earn the most interest at the end of 3 years.

Simple interest = PRT/100

Compound interest = A - P

A is the amount

A [tex]=P(1+\frac{R}{N} )^{NT}[/tex]

Where,

P is the principal amount

R is the rate of interest

T is the time period

N is the number of times interest compounded yearly.

Here,

P = 1750

R = 2.75%

T = 3 years

N = 1

Now,

First account:

Simple interest = PRT/100

SI = (1750 × 2.75 × 3) / 100

SI = 14437.5/100

SI = 144.375

First account offers $144.375 as interest for 3 years.

Second account:

Compound interest = A - P

A  [tex]=P(1+\frac{R}{N} )^{NT}[/tex]

A = 1750 [tex](1+\frac{0.0275}{1} )^{1(3)}[/tex]

A = 1750 (1 + 0.0275)³

A = 1750 × 1.0275³

A = 1750 × 1.084789547

A = 1898.381707

A ≈ 1898.38

Compound interest = A - P

CI = 1898.38 - 1750

CI = 148.38

Second account offers $148.38 as interest for 3 years.

So, we can conclude that second account will earn the most interest at the end of 3 years.

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A group of people were asked if they had run a red light in the last year. The number of people that
responded yes is 397 and no is 159. Find the probability that if a person is chosen at random, he/she has
run a red light in the last year. Round to two decimal places.
Question Help:

Answers

If a person is chosen at random, there is a 71% probability that he or she has run a red light in the last year.

What do we mean by probability?Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

So, to find the probability:

P = number of favorable terms/number of total termsFavorable terms = 397Total number of terms = 397 + 159 = 556

Apply values in the formula:

P = 397/556P = 0.714028On rounding off, P = 71%.

Therefore, if a person is chosen at random, there is a 71% probability that he or she has run a red light in the last year.

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