Mathematics High School

Find the value of x.

Answers

Answer 1

Answer:

x= 37.5°

Step-by-step explanation:

∠CBD

= 180° -75° (adj. ∠s on a str. line)

= 105°

∠BCD= ∠BDC (base ∠s of isos. △BCD)

∠BCD= x

∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)

x +x +105°= 180°

2x= 180° -105°

2x= 75°

x= 37.5°

Alternative working:

∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)

∠BDA= 52.5°

∠BDA +∠BDC= 90°

52.5° +x= 90°

x= 90° -52.5°

x= 37.5°

Related Questions

A trampoline park costs $12 for the first hour and $6 for each additional hour. Flynn pays $30 at the trampoline park. Select the equation that represents the given situation and find the number of additional hours Flynn stays at the trampoline park after the first hour.
A. 12x + 6 = 30; 3 hours
B. 6x + 12 = 30; 3 hours
C. 6x + 12 = 30; 2 hours
D. 12x + 6 = 30; 2 hours

Answers

Answer is B. 12 dollers for 'admission' and then you have 6 per hour of time

The equation that represents the given situation is 12 + 6x = 30.

The number of additional hours is 3.

Option B is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

We have,

A trampoline park costs $12 for the first hour and $6 for each additional hour.

Amount paid at the park = $30

Now,

12 + 6x = 30

x is the number of hours.

Solve for x.

12 + 6x = 30

6x = 30 - 12

6x = 18

x = 3

Thus,

The equation is 12 + 6x = 30.

The number of hours is 3.

Learn more about equations here:

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Help ASAP Need This Answered RN

Answers

A(3,3)
B(1,4)
C(4,1)
D(2,0)
E(0,1.5)

B is (1,4) A is (3,3) C is (4,1) D is (2,0) E is (0,1.5)

if x = 5, find the value of (x+3)²

Answers

Step-by-step explanation:

Given

if x = 5 Then

(x+ 3)²

= ( 5 + 3) ²

= 8²

= 64

Hope it will help :)❤

X=5
(X+3)^2
(5+3)^2
8^2
64

Find the angle measure. Round to the nearest tenth

Answers

Answer:

45.6

Step-by-step explanation:

IF x is theta

arccos(7/10)

*make sure your calculator is in degree mode

x= 45.57

find the slope of the line through each pair of points
(3,-2),(-13,-8)

Answers

M = 3/8. Is the answer

20% of _____ is 11

_____% of 60 is 21

(fill the blank)
(they're both seperate questions)

Answers

the first one is 55 and then the second one would be 35%

The first is 55, the second is 35%

Percent (as a decimal) x whole = part
0.2 x w = 11
w = 11/0.2
w = 55

p x 60 = 21
60p = 21
p = 0.35 = 35%

Let me know if you have questions

which graph represents the solution to 7x < 21 or 6x -9 > 21

Answers

Answer:

There is no solution, though the lines are confirmed as dashed with the shaded area being on the outer sides.

Step-by-step explanation:

above

Please help me with this i will give brainliest

Answers

Answer:

i think it's 10%

Step-by-step explanation:

In Eduardo's collection, the number of butterflies is 12 more than twice the number of moths. If there are x moths, choose the expression that represent the number of butterflies he has.

Answers

Answer:

y = 12 + 2x

Step-by-step explanation:

Given that :

Let number of butterflies = y

Number of moths = x

y = 12 more than twice the number of moths

y = 12 + 2x

Hence, the expression which relates the number of butterflies he has is :

y = 12 + 2x

Find the value of each variable.

Answers

Answer:

a. a×3= -30

a= -30-3

a= 33

hi im confused with this one question its about properties and exponents on math i really need help:(

Answers

What problems do you need help with

HELP ME PLZZ, ASAP!!

Answers

I’d say first, second and last I’m not sure tho, so don’t take my word for it

2. Mr. Hoffman has a circular chicken coup with a radius of 2.5 feet. He wants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?
A: 19.63ft
B: 31.42ft
C: 15.7ft
D:7.85ft

Answers

Answer:

Step-by-step explanation:

using the formula for circumference of a circle.

2πr is the formula.

closest answer is 15.7 ft

What is the greatest common factor of 45x^3, 24x^2, and 16x?

Answers

Answer:

[tex]\huge\boxed{\sf GCF = x}[/tex]

Step-by-step explanation:

Firstly we'll factorize the terms:

45x³ = 3 * 3 * 5 * x * x * x

24x² = 2 * 2 * 2 * 3 * x * x

16x = 2 * 2 * 2 * 2 * x

The factor which is common in all three terms is:

= x

Hence GCF = x

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Write an expression that is equal to m.m.m.m

Answers

Answer:

m^4

Step-by-step explanation:

Suppose one of your friends was absent from school on the day your math class learned about graphing rational numbers on the number line. Using complete sentences, explain to your friend how to graph the opposite of 6.2 on the number line.

Answers

I think it would be R/{6.2}

3) A drawer contains 10 blue pens, and 10 red pens. Without looking, Mrs.
Stanton is going to take one pen from a drawer, use it, and then put it back in
the drawer. Then he is going to take another pen from the drawer to use. What
is the probability of Mrs. Stanton taking a red pen first and then taking a blue
pen? P(red, then blue)?

Answers

The probability is 1/2 because he has an even amount of both colored pens so there are 50% blue and 50% red the odds are like flipping a coin in the air. There is a 50% chance that it will land on either heads or tails in other words 50/100 which is also 1/2 same thing applies with the pens.

Answer: 1/2

If the speed of sound is 1230 km/h, calculate the speed of sound in metres per second.
Write down your answer correct to the nearest metre.

Answers

Answer:

342 m/s

Step-by-step explanation:

1230x 1000 = 1230000

1230000 / 60 = 20500

20500 / 60 = 341.666 = 342

Answer: 3.4 * 10^(5)

Step-by-step explanation:

Mike discovered that the pool in his backyard is leaking slowly. The pool holds 17,085 gallons of water, and is leaking at a rate of 20
gallons per day.
If Mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool
after 103 days?

A. 15,025 gallons
B. 16,055 gallons
C. 17,188 gallons
D. 19,145 gallons

Answers

A cause if you add and multiple you get it

Solve the equation. You may find using algebra tiles to be helpful.

2x + 7 = 13

x =

Answers

move everything to one side
2x+7-13
=2x-6

Answer:

x= 3

Step-by-step explanation:

Move all the terms that do not contain x to the right side and solve.

Hope this helped!

⭐ Please consider giving Brainliest if this answer helped you ⭐

What is the distance between the points (5, 13) and (-8, -9) on a coordinate plane rounded to the nearest tenth unit?

Answers

Answer:

25.6

Step-by-step explanation:

Use the distance formula.

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-8 - 5)^2 + (-9-13)^2}\\d = \sqrt{(-13)^2 + (-22)^2}\\d = \sqrt{169 + 484}\\d = \sqrt{653}[/tex]

The distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have two points (5, 13) and (-8, -9)

[tex]\rm d=\sqrt{(-8-5)^2+(-9-13)^2}[/tex]

d = √(169+484)

d = 25.55 units ≈ 25.6 units

Thus, the distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

Learn more about the distance formula here:

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YOU WILL GET BRAINLIEST. A cone is circumscribed by a hemisphere radius of which is equal to the height of the cone. Find the ratio of the volume of the cone to the volume of the hemisphere

Answers

Answer: 1:2

Step-by-step explanation: plz mark me brainliest

1,2,2,3,4,6,8,9,10 what is the median HELP

Answers

The elements of the dataset are integers, and the median of the dataset 1,2,2,3,4,6,8,9,10 is 4

How to determine the median?

The data elements are given as:

1,2,2,3,4,6,8,9,10

The median element is the middle element, and the middle element is: 4

Hence, the median of the dataset 1,2,2,3,4,6,8,9,10 is 4

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

D. 3c + 2b

Hope it helps!

Mark me brainliest pls.....

Follow me!!! :)

Giovanni is visiting his grandmother who lives in an apartment building on the 25th floor. Giovanni enters the elevator in the lobby, which is the first floor of the building. The elevator stops on the 16th floor. What percentage of 25 floors does Giovanni have left to reach his grandmothers floor?

Answers

Answer:

the percentage is 36%

Step-by-step explanation:

The computation of the percentage of 25 floors does Giovanni have left to reach his grandmothers floor is shown below:

= (25 floor - 16 floor) ÷ (25 floor)

= 9 floor ÷ 25 floor

= 36%

Hence, the percentage is 36%

Pls answer correctly brainliest and 29pts

Answers

Answer:

Step-by-step explanation:

Distance covered by Amy in one hour = 1/3 x 15 miles = 5 miles

Distance covered by John in one hour = 1/5 x 30 miles = 6miles

As a result, John would jog 1 mile (6-5) farther than Amy, the answer is A

Answer: John goes 1 mile further than Amy

Step-by-step explanation:

Figure out how far each person can go in an hour

Amy can go 1/3 of a mile in 1/15 of an hour- Multiple by 15 to see how far she can go in 1 hour

[tex]\frac{1}{3} *15= \frac{15}{3} = 5[/tex] so in 1 hour Amy can go 5 miles

John goes 1/5 of a mile in 1/30 of an hour- so multiple by 30 to see how far he goes in 1 hour

[tex]\frac{1}{5} * 30 = \frac{30}{5} = 6[/tex]

John goes 6 miles in an hour

So John goes 1 mile further than Amy (6-5)=1

PLEASE help me. This is due today

Answers

Answer:

negative linear

Step-by-step explanation:

Answer:

A. A negative linear association

Step-by-step explanation:

The points are close enough for a line of best fit, therefore they are linearly associated and they are going down so it is negative association.

The graph of which equation is shown below?

y = −2x + 3

A.) y = -2x + 3

B.) y = 2x + 1.5

C.) y = 2x + 3

D.) y = −2x + 1.5

Answers

A. It’s the same thing

Answer: The answer is y=-2x+3

4cos(x) = 3
solve this

Answers

Answer:

41.4 degrees

Step-by-step explanation:

Find cos x by dividing both sides of this equation by 4:

cos x = 3/4 = 0.75

Using a calculator's inverse cosine function, find x:

arccos 0.75 = 0.723 radian, or

0.723 rad 180 deg

--------------- * ------------- = 41.4 degrees

1 pi rad

The St. Petersburg paradox goes as follows. A fair coin is tossed repeatedly until it comes up heads. If the first heads appears on the nth toss, you win $2 n . First, show that the expected monetary value of this game is infinite (the paradox is that no one would actually pay a huge amount to play this game). Second, consider a possible resolution of the paradox: suppose your utility for money is given by a log 2 x b where x is the number of dollars you have. Suppose you start with 0 dollars, what is the expected utility of this game

Answers

Answer:

a) attached below

b) 2a + b

Step-by-step explanation:

a) show that the expected monetary value of this game is infinite

Given that the probability of getting first head on nth toss = $2^n

attached below is the prove

b) what is the expected utility of this game

using the Logarithm ; [tex]U(x) = a log_{2} n + b[/tex]

x = number of dollars you have

attached below is a detailed solution to the given problem

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