0
37 The value of b is 75°. What is the value of 4x in the triangle?
A 15°
B 30°
C 45°
60°
OE 120°
O
b
3x
4.x

By SAS rule, triangle DAB is congruent to triangle DCB

If two shapes are similar in size and shape, they are congruent. We can also state that if two shapes are congruent, then their mirror images are identical. If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

Given data

BD bisects ∠ABC

BD bisects ∠ADC

In ,Triangle DAB and triangle DCB

DA = DC (Given)

∠DAB=∠DCB (BD bisects ∠ABC)

DB = DB (Common Value)

Thus,

△DAB≅△DCB (SAS rule)

By SAS rule, triangle DAB is congruent to triangle DCB

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When the plane reaches an altitude of 2,000 ft temperature will be 59.3F

The height of a thing above the surface of a planet or natural satellite, like the sea or land is known as altitude.A distance measurement between a reference datum and a point or object, typically in the vertical or "up" direction, is known as altitude, height, or depth.

Although the term "altitude" is frequently used to refer to a location's height above sea level, the term "elevation" is frequently preferred in the context of geography. The term "depth" often refers to vertical distance measurements taken in the "down" direction.

For every 1000 ft there is a drop of 1.2 Fahrenheit

∴ for 2000ft drop in temperature of 2×1.2=2.4F

Also the temperature on the ground is 61.7F

The temperature when the plane reaches 2,000 ft will be

61.7-2.4 = 59.3F

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The intersection of two planes can be a line. Therefore, it's true.

A plane is a flat, two-dimensional surface that never ends in mathematics. A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.

A line is formed by the intersection of two planes. The planes are parallel if they do not intersect. Due to the endless nature of planes, they cannot meet at a single place. In addition, because planes are flat, they cannot intersect over more than one line.

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Answer:

15:50

Step-by-step explanation: Out of the 50 times the coin was flipped, it landed on tails 35 times. This means it landed on heads 15 times (50-35=15). The ratio of heads to the total number of flips would be 15:50.

Answer

The initial amount on Jon's giftcard is $48.

Explanation

Let the initial amount on Jon's gift card be x dollars.

Jon pays $17 for a shirt using the gift card and the remaining balance was $31.

That is, the equation representing this is

x - 17 = 31

To solve this, we add 17 to both sides

x - 17 + 17 = 31 + 17

x = 48 dollars

The initial amount on Jon's giftcard is $48.

Hope this Helps!!!

Good evening,

Answer: x-17=31 is the equation you're looking for meanwhile its result is x=48

Explanations: Jon spent $18 after having $31 on the card so they're spending money off the card, therefore the equation you're loooking for is x-17=31. In order to solve it add 17 to the other side of the equation such as:

x-17=31 ; x=31+17 ; x=48

Triangle ABD is congruent to triangle CBD

Congruent triangles are triangles that are precisely the same size and shape. The word congruent has the sign. When the three sides and three angles of one triangle match the same dimensions as the three sides and three angles of another triangle, two triangles are said to be congruent.

Given, BD perpendicular AC

Angle ADB = Angle CDB = 90

Therefore, angle ABD = angle CDB = 90

AB = CB

BD = BD

Hence, Triangle ABD is congruent triangle CBD

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Answer:

The Ramirez family has 36 eggs

The solution to the equation given as 1.8(b-5.3)-4.2=5.8(b-2.3) is b = -0.1

From the question, the equation is given as

1.8(b-5.3)-4.2=5.8(b-2.3)

Rewrite the equation properly

This is represented as follows

1.8(b - 5.3) - 4.2 = 5.8(b - 2.3)

Open the brackets in the above equation

So, we have

1.8b - 9.54 - 4.2 = 5.8b - 13.34

Collect the like terms in the equation

So, we have

1.8b - 5.8b = 9.54 + 4.2 - 13.34

Evaluate the like terms in the equation

So, we have

-4b = 0.4

Divide by -4

b = -0.1

Hence, the solution is b = -0.1

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The solution to the equation 1.8(b-5.3)-4.2=5.8(b-2.3) will be; b = -0.1

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given an equation as;

1.8(b-5.3)-4.2=5.8(b-2.3)

Rewrite the equation properly  as follows;

1.8(b - 5.3) - 4.2 = 5.8(b - 2.3)

Open the brackets in the equation, we have

1.8b - 9.54 - 4.2 = 5.8b - 13.34

Now Collect the like terms in the equation

1.8b - 5.8b = 9.54 + 4.2 - 13.34

Evaluate the like terms in the equation;

-4b = 0.4

Now Divide by -4

b = -0.1

Hence, the solution is; b = -0.1

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Answer: um 4

Step-by-step explanation: use your fingers lol

The most appropriate choice for parallelogram will be given by

[tex]\Delta ABD \cong \Delta CDB[/tex] has been proved

What is a parallelogram?

Parallelogram is a quadrilateral in which each pair of opposite sides are parallel and equal.

There are different properties of parallelogram-

Opposite sides of a parallelogram are equal

Opposite angles of a parallelogram are equal

Diagonals of a parallelogram bisect each other

Here,

AD || BC [Definition of Parallelogram]

[tex]\angle ADB \cong \angle CBD[/tex] [Alternate interior angle theorem]

AB || CD [Definition of Parallelogram]

[tex]\angle ABD \cong \angle CDB[/tex] [Alternate interior angle theorem]

[tex]DB \cong DB[/tex] [DB is the common side]

[tex]\Delta ABD \cong \Delta CDB[/tex] [ASA axiom]

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Part a: Graph 1 : A and B are 6 and 8 respectively.

Part b: Graph 2 : A and B are 8 and 12 respectively.

For the given question;

The equation of line in the standard form is given as;

Ax + By = C, where C = 24

Part a: Graph 1.

Locate two points lying on the line.

(4, 0) and (0, 3)

Put the value in equation at (x, y) and solve the equation,

Ax + By = C

4A + 0B = 24

A = 24/4

A = 6

And, 0A + 3B = 24

B = 24/3

B = 8

Thus, A and B are 6 and 8 respectively.

Part b: Graph 2.

Locate two points lying on the line.

(3, 0) and (0, 2)

Put the value in equation at (x, y) and solve the equation,

Ax + By = C

3A + 0B = 24

A = 24/3

A = 8

And, 0A + 2B = 24

B = 24/2

B = 12

Thus, A and B are 8 and 12 respectively.

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By the concept of mean ,50% of the student body is at most 23 years old.

In mathematics, particularly in statistics, there are various kinds of means. Each mean is used to summarize a certain set of data, frequently to help determine the overall significance of a particular data set. Two easy steps can be used to determine the mean, or average, of a set of data: Add up all of the values to get the sum. Divide the total by the total number of values in the data collection. A data set's mean (average) is determined by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint number. The number that appears most frequently in a set of data is called the mode.

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Each friend pay the bill 7.9133(approx.)

Given,

The expression is given :

(1.75+5.95)+(2.25+4.75)+(1.09+7.95) / 3

Three friends ate lunch at a restaurant and divided the bill equally.

Now, According to the question:

The expression is :

(1.75+5.95)+(2.25+4.75)+(1.09+7.95) / 3

Calculate the sum or difference

=(7.7 + 7 + 9.04 )/ 3

=23.74 / 3

= 7.9133 (approx.)

Hence, Each friend pay the bill 7.9133(approx.)

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Answer: It will be letter c

Step-by-step explanation:

9 is a coefficient of u in mathematical expression.

What does a math expression mean?

What does an example of a math expression mean?

 = 7 ( 9u + 2 ) ( 1 + 3 )

In this expression statement 1  is correct  and statement  2,3,4,5,6 are false.

9u, 9 is a coefficient of u.

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(4,-2) does not lie on the line

Here, we want to select the point that is not a solution to the graphed line

What we have to do is just to susbtitute the value of x and y. If by aritjmetic operation, the result is 16, then the point lies on the line

We proceed as follows;

a) (4,-2)

-2(4) -4(-2)

-8+8 = 0

This lies on the line

b) (1, -4.5)

-2(1)-4(-4.5) = -2 + 18 = 16

This is not on the line

c) (-2,-3)

-2(-2)-4(-3) = 4 + 12 = 16

d) -2(-5)-4(-1.5)

= 10 + 6 = 16

As we can see, only the first point does not lie on the line

We minus 3 on both sides, we get :
2x = 3x - 2

We have the equation : 3x - x = 2x, or 2x = 3x - x, and this holds true.
Since x corresponds to 2 in the first equation, x = 2 is a solution

Answer:

3 + (-2) + (-2), or 3-2-2

Step-by-step explanation:

5, 5 1, 2, 6, 3

Answer: I think you could just take 10 and multiply it by a number then keep adding 6.

Step-by-step explanation:

Shannon will take time 16.5 years to have $350000

What is Compound Interest ?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit. Reinvesting interest, or adding it to the lent capital rather than paying it out or seeking repayment from the borrower, results in interest being received on the principal amount plus previously collected interest in the next period.

Formula used,

A=P(1+r/n)^nt

A = ending amount

P = principal amount(beginning amount)

n = time period

r = rate of interest

Given,

A = $350000

p = $250000

r = 2.04% or 0.0204

n = 12 months

Now, put these values in given formula

350000 = 250000(1 + 0.0204/12)^12t

              = 250000 * 1.0017^12t

350000/250000 = 1.0017^12t

1.4 = 1.0017^12t

Take log on both the sides,

㏑(1.0017^12t) = ㏑(1.4)

12t * ㏑(1.0017) = ㏑(1.4)

12t * 0.0017 = 0.3365

t = 0.3365 / 0.0204

t = 16.5 years

Therefore, Shannon will take time 16.5 years to have $350000

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Answer:

Step-by-step explanation:

I think not because if a series of true conditional statements then it won't lead to a false conclusion

Answer:

The answer is C.

Step-by-step explanation:

Since the party store charges $1.50 for each bag of balloons, the total price depends on how many bags of balloons Jimmy purchases. So to represent that amount we use the variable given, b. To represent that we can do 1.50b. If we substitute any positive number for b it could look something like this:

(1.50)(1) or 1.50 × 2.

In addition to this, they also sell packages for $6.00 each. We do the same as with the balloons and use the variable h to represent the number of packages Jimmy buys.

We already know that he spends $24 in total but we do not know how many of each item he bought. So we would represent the unit rate price × the variable (or the unknown number of items) of the balloons + the unit rate price and the unknown number of the party hats.

1.50b + 6.00h = 24.

Please let me know if you need additional help!

If Stella walks down a flight of stairs to the basement. Then she walks back up the stairs and another flight of stairs to the second floor of her house. How far is Stella above the ground is: 12 ft.

Given:

Flight stair = 12 feet

Hence,

Let walking from down a flight of stairs to the basement = -12 f

Let  walking back up the stairs = 12Ft

Now let determine Stella height above the ground.

Height = -12 feet + 12 feet + 12 feet

Height = 12 feet

Therefore we can conclude that Stella is 12 feet above the ground.

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Answer: The answer is 8.

Step-by-step explanation:

Assuming you're trying to find the value of r...

Answer:

r = 1

Step-by-step explanation:

Take your starting equation:

16 = 16r

Since r is multiplied by 16, divide both sides by 16 to isolate r.

16 / 16 = 1

16r / 16 = r

The result is 1 = r, which can be written as:

r = 1

Answer:

Step-by-step explanation:

1.First find the left songs after delete:

65-20= 45 kept

2.Now find deleted: 20 deleted

3.Ratio to kept to deleted= 45:20

4.Simplify: 9:4