Mathematics High School

The diagram shows a triangle ACD and an equilateral triangle BCD.
Work out the size of angle x.
(2 points)
с
Not drawn
accurately
409
А
B.
D

The Diagram Shows A Triangle ACD And An Equilateral Triangle BCD.Work Out The Size Of Angle X.(2 Points)Not

Answers

Answer 1

Answer:

x = 20°

Step-by-step explanation:

An equilateral triangle has three equal angles of 60° each.

Since ∆BCD is an equilateral triangle, it follows that:

<CBD = <BCD = <CDB = 60°

m<ACD = 40° + <BCD

m<ACD = 40° + 60° (substitution)

m<ACD = 100°

x + m<ACD + CDB = 180° (sum of triangle)

x + 100° + 60° = 180° (substitution)

x + 160 = 180

Subtract 160 from each side

x = 180 - 160

x = 20°

Related Questions

What is the name of the decimal number?
3.54

Answers

Answer:

Three and fifty four hundredths.

I hope this helps!

Answer:

54 hundreths

Step-by-step explanation:

What is the value of the expression

(-3)^3 + 6^3/12

Answers

Answer:

-9

Step-by-step explanation:

Answer:-9

hope it helps pls mark brainliest

Help please eeeeeeeeee

Answers

Answer:

-5

Step-by-step explanation:

if u add negative and positive of the same numbers the end result is 0

This is the answer it’s -5

Can someone plz help me with this? Only #5, both parts.

Answers

Your answer is 3.0155 × [tex]10^{20}[/tex]

За +6+5а
Can you write an equivalent expression by combining like terms.

Answers

Answer:

It's 8a + 6

Plz mark brainiest thx

Pls help I will give Brainly to first answer

Answers

Answer:

I think right triangle, but I am not sure.

in the equation x+12=30 does x=16 explain your answer

Answers

no x does NOT equal 16. you would substitute x for 16 which gives you 16+12. That equals 28 not 30. The correct answer is x=18

4x + 6 +3=17
"X" is equal to

Answers

Answer:

X is equal to 2. hope it will help you

Answer:

x=2

Step-by-step explanation:

4x+9= 17

4x=17-9 ( because +9 has gone to next side so it's sign is changed -9)

4x=8

x=8/4(4 wasin (×) so sign changed in(÷) )

×=2

During one team's season, the team has won 4 games out of the 12 games they have played. The team will play 42 games by the end of the season. Using this information, predict how many games the team will win.

Answers

Answer:

i say the team would win about 14 games

2) Write even or od
oeven
Is zero even or odd... not sure....thank you

Answers

Answer:

Oh my, I actually never thought about it, I guess its even because when u add 1 to it, it turns odd so hmm ID K but i'm going for even

Step-by-step explanation:

Hope this Helps

y = -x + 3
What is the slope for this?

Answers

The slope for this equation is x=3

Help with math problem​

Answers

your answer would be (B)

Find m∠RSQ
please and ty

Answers

Answer:

m∠RSQ = 19°

Step-by-step explanation:

From the picture attached,

RT is the diameter of the a circle.

Angle subtended at the circumference by the diameter of a circle = 90°

Therefore, m∠RST = 90°

Since, m∠RSQ + m∠QST = m∠RST

m∠RSQ + 71° = 90°

m∠RSQ = 90° - 71°

             = 19°

Therefore, measure of angle RSQ is 19°.

what is the distance rounded to the nearest tenth between the points (2 -2) and (6 3)

Answers

Answer:

The distance between the points is approximately 6.4

Step-by-step explanation:

The given coordinates of the points are;

(2, -2), and (6, 3)

The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Substituting the known 'x', and 'y', values for the coordinates of the points, we have;

[tex]l_{(2, \, -2), \ (6, \, 3) } = \sqrt{\left (3-(-2) \right )^{2}+\left (6-2 \right )^{2}} = \sqrt{5^2 + 4^2} = \sqrt{41}[/tex]

Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.

2x + 2y = 14 y = 3x - 5
X =
y =​

Answers

X= 3
Y=4
I used the substitution method

on a quiz show ,a contestant was penalized 250 points for an incorrect answer, leaving the contestant with 1050 points. how many points did the contestant have before the penalty?

Answers

the contestant had 1300 points before the penalty

Please help me with this equation, you are supposed to find x

Answers

Answer:

Step-by-step explanation:

[tex]\frac{3}{4}(x+21) =10\frac{1}{2} \\x+21=14\\x=-7[/tex]

this is my answer x= -7

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

Answers

Answer:

120

Step-by-step explanation:

Add angle ABC and angle CBD together.

answer is 120, 30 degree angle plus 90 degree angle

Write the expanded form of the expression
y(0.25 +6)

Answers

Answer:

free points for a easy question.   You do 0.25+6 in expanded form

Step-by-step explanation:

0.25y +6y is the expanded form of expression y(0.25 +6)

What is Number system?

A number system is defined as a system of writing to express numbers.

An expression is combination of variables, numbers and operators.

The given expression is y(0.25 +6)

y times of zero point two five plus six

In the given expression y is the variable and plus is the operator

y(0.25 +6)

Apply the distributive property of addition

0.25y +6y

Hence, 0.25y +6y is the expanded form of expression y(0.25 +6)

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ5


Which of the following is an example of the identity property of 1?

Answers

Answer:

2 or 1

i mostly think its 2 but im not sure

Step-by-step explanation:

Find the measure of angle x and angle y

Answers

Answer:

x = 76

y = 32

Step-by-step explanation:

Exterior angle is equal to sum of of the interior angles except the angle supplementary (on the same line) to it

x = y + 44

32 + 44 = 76

What is the answer to the following
-1+8=​

Answers

Answer:

Step-by-step explanation:

-1+8=7

Answer:

The answer is -1+8=7. sorry if im wrong

square root of 10 simplified

Answers

The answer is 3.16! Hope this helps!!

Answer:

um so i [tex]\sqrt{2} \sqrt{5\\}[/tex] or 3.162

Step-by-step explanation:

What is the sum of the polynomials
(8x^2-9y^2-4x)+ (x^2-3y^2-7x)

Options:
A: 7x^2-6y^2+3x
B: 9x^2-6y^2+3x
C: 9x^2-12y^2+3x
D: 9x^2-12y^2-11x

Answers

Answer:

D: 9x^2-12y^2-11x

Step-by-step explanation:

(8x^2-9y^2-4x)+ (x^2-3y^2-7x)

1. Eliminate redundant parentheses

8x^2-9y^2-4x+ x^2-3y^2-7x

2. Combine like terms

9x^2-12y^2-11x

3. Solution

9x^2-12y^2-11x

Eiman borrowed $8000 at a rate of 14.5%, compounded semiannually. Assuming she makes no payments,
how much will she owe after 6 years?
Do not round any intermediate computations, and round your answer to the nearest cent.?


Answers

Answer:

1,717,351cents

Step-by-step explanation:

Using the compound interest formula

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

P = 8000

r = 14.5% = 0.145

n = 6/12 = 1/2 (semi annually)

t = 6years

Substitute

A = 8000(1+ 0.145/0.5)*(0.5)(6)

A = 8000(1+0.29)^3

A = 8000(1.9)^3

A = 8000(2.146689

A = 17,173.512

Hence the amount owned to the nearest cent is 1,717,351cents

2a2 + cb; a = 5, b = 11, and c = 3

Answers

Answer
53

Explanation

Calculate the product
20+3•11

Multiply the numbers
20+30

Add the numbers
53

Answer:

83 is the answer

Step-by-step explanation:

2*5^2+33

2*25+33

50+33=83

WILL GIVE BRAINLIEST PLZZZZ HELP

Answers

Answer: y= 8295

Step-by-step explanation:

(physical education)
Question 10 Which are examples of Moderate Physical activities. Choose the best answers or all if apply.
a.Bicycling light effort (10-12 mph)
b. walking slowly
c.Tennis doubles
d.Jogging at 6 mph​

Answers

Answer:

Bicycling light effort and tennis doubles

Step-by-step explanation:

Which equation represents a linear function?

A) x = y2

B) y – 2 = x2 + 5x

C) y = x3 + 1

D) 5x + 6y = 12

Answers

Answer:

D) 5x + 6y = 12

Step-by-step explanation:

x = y^2 is Not Linear (Find the degree of the equation to determine if linear.)

y - 2 = x^(2) + 5x is Not Linear (Find the degree of the equation to determine if linear.)

y = x^(3) + 1 is Not Linear (A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 3.

5x + 6y = 12 is Linear (Find the degree of the equation to determine if linear.)

Solve each equation for the
1) g=C+a, for a

Answers

The answer for this question is A=g-c
Other Questions
The body of a proposalO explains the research process.Ostates a plan of actionO identifies the chosen solution.O examines the solution's effectiveness. A piece of writing that makes fun of something by imitating its style is called PLEASE HELP PLEASE HELP PLEASE HELP A fish tank containing 42 gallons of water when it began to make each day the tank last for gallons of water how many days until the tank only contains 14 gallon I need to know the equation of of 5 and possibly 7 and 8 below Me Pekzer has a problem he has become obsessed with TickTock's he makes them all the time now when he started counting he had made 544 different TickTock's he did some calculations and determined the number of TickTock's he made was growing by 11% each week write an equation to represent this situation . Question 1(Multiple Choice Worth 2 points)(04.06 LC)Hydrogen is in column 1 of the periodic table. What information does this give us? There is one other element that hydrogen will bond with. There is one neutron in the nucleus. The mass of the atom is one. There is one electron in the outer energy level. Which of these is a way that biostimulation can be used? Explain How the wind caused the dunes to form please answer in 5 or more sentences , I live in los angeles find the distance between two points (-3,2) and (3,0) Biografa de Simn Bolvar Which of the following best explains the importance of studying the ocean carbon cycle?a. The oceans have a significant impact on the levels of atmospheric gases.b. It is a new field of ocean science.c. The ocean releases one quarter of the carbon dioxide in the atmosphere.d. All of the above WRITE an essay explaining why it is important to learn how to read. If you can solve this you are a Genius and will be rewarded 100 points find the values of x y and z PLEASE HELP ASAP THIS IS DUE SOON which of the following does not belong to the groupa. coccib. bascillic. ciliad. spirilla How would you write twenty-one thousand, six hundred fifty-sixin standard form?2165216662156621656 Question 71 ptsEmily has two bags of marbles. The first bag contains 4 red marbles and 6 blue.The second bag contains 6 blue marbles, and 2 green marbles. Emily willrandomly select 1 marble from each bag.What is the probability that Emily will select a blue marble from each bag?