BCD is a straight line.
Triangle ABC is equilateral.
CE=DE
Work out the size of angle x.

BCD Is A Straight Line. Triangle ABC Is Equilateral. CE=DEWork Out The Size Of Angle X.

Answers

Answer 1

The size of angle x is 44°.

Each equilateral triangle angle is measured at 60°.

∠ACB = 60°.

If two triangle sides are congruent, then the angles opposite those sides are also congruent.

∠CDE = ∠DCE

According to Angle Sum Theorem: ∠CDE + ∠CED + ∠DCE = 180°.

Substitute ∠CDE = ∠DCE into ∠CDE + ∠CED + ∠DCE = 180°

∠DCE + 28° + ∠DCE = 180°

∠DCE = 76°

The Angle Addition Postulate and the notion of a straight angle:

∠ACB + ∠ACE + ∠DCE = 180°

Substitute ∠ACE = x, ∠ACB = 60, ∠DCE = 76 into ∠ACB + ∠ACE + ∠DCE = 180°

60° + x + 76° = 180°

x = 44°

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Answer 2
The answer to this is 44 because x is equal to 44

Related Questions

According to the frequency chart below, how many people have two or more brothers and sisters?

A. 39
B. 30
C. 20
D. 10

Answers

Answer:

B. 30

10+15+3+2=30

the answer is 30 :) add up the numbers

HELP ASAP. Identify the center of dilation for the given figures. I will give brainliest if right.

Answers

The answer is 3-4 I believe?
I think it is 2 1/2 and 3 1/2 if not then go with 3 and 4

Two angles are complementary to each other. One angle measures 26°, and the other angle measures (10x − 11)°. Determine the value of x.

2.6
5.6
7.5
24.5

Answers

I think the answer to this is 7.5

Simplify x raised to the negative seventh power over y raised to the fifth power.

Answers

x^-7/y^5 = 1/x^7 y^5

The simplification of x raised to the negative seventh power over y raised to the fifth power will be  1/x⁷y⁵.

What is a mathematical expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: (Mathematical Operator, Number/Variable, Expression)

It is given that the expression is, "x raised to the negative seventh power over y raised to the fifth power."

The expression can be written as,

=x⁻⁷/y⁵

= 1/x⁷y⁵

Thus, for the given expression the simplification is obtained as, 1/x⁷y⁵

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what is the answer to the problem?

Answers

I can’t read it 10/4

Solve the inequality and graph the solution.

−3p + 6.7 ≥ −4.4

number line with open circle plotted at 3.7 and arrow pointing right
number line with closed circle plotted at 3.7 and arrow pointing left
number line with open circle plotted at 3.7 and arrow pointing left
number line with closed circle plotted at 3.7 and arrow pointing right

Answers

The answer is b it’s the same as an equal sign solve it like normal

The solution to inequality is p ≤ 3.7 or p ∈ (-∞, 3.7] and it will be on a number line with a closed circle plotted at 3.7, and the arrow pointing left option (B) is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality is:

−3p + 6.7 ≥ −4.4

After solving the above inequality:

−3p  ≥ −4.4 - 6.7

-3p  ≥ -11.1

p ≤ 3.7

Thus, the solution to inequality is p ≤ 3.7 or p ∈ (-∞, 3.7] and it will be on a number line with a closed circle plotted at 3.7, and the arrow pointing left option (B) is correct.

 

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Need some help with steps please. Its Systems of equations and inequality's Linear Inequality's

Answers

Answer:

[tex]y\leq \frac{4}{5} x-1[/tex]

Step-by-step explanation:

−4x+5y≤−5

−4x+5y+4x≤−5+4x

5y≤4x−5

[tex]\frac{5y}{5}[/tex]≤[tex]\frac{4x-5}{5}[/tex]

y≤[tex]\frac{4}{5}[/tex]x-1

Answer:

y<=4/5x-1

Step-by-step explanation:

help me, please help

Answers

Answer:

It's the 4th option.  

Step-by-step explanation:

1/2 of 2 is 1 so 2+1 is 3 and that would make it -1.5 for M. This process is repeated for K and L. You are taking the half of the numbers and adding it to it. These are your new dilations :

K (-3,-1.5)

L (4.5,1.5)

M (3,-1.5)

It’s the 4th option

Half of 2 is one so 2+1 is 3 that’s makes it -1.5 for M and just repeat

What is the quotient in simplest form?

StartFraction 12 Over 7 EndFraction
StartFraction 7 Over 36 EndFraction
StartFraction 4 Over 7 EndFraction
1 and three-fourths
5 and StartFraction 1 Over 7 EndFraction

Answers

Answer: 1 3/4 Is The Right Answer Heres A Hint simplest forms means incorrect faction

Step-by-step explanation:Hope This Helps!

The quotient in simplest form is given as follows.

What is Division theorem?

For every pair of integers a, b where b≠0, there exist unique integers q, r such that -

a = q x b + r

and

0 ≤ r < |b|

where -

[a] is the dividend.

[b] is the divisor.

[q] is the quotient.

[r] is the remainder.

Given are -

12/7 , 7/36 , 4/7 , 1/(3/4) , 5[tex]$\frac{1}{7}[/tex]

The quotient in the simplest form -

12/7 = 1.72

7/36 = 0.19

4/7 = 0.571

1/(3/4) = 7/4 = 1.75

5/(1/7) = 36/7 = 5.15

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5 2/11 - 3 2/18
A. 3
B. 1
C. 4
D. 2

Answers

Answer:

would be closest to D: 2

Step-by-step explanation:

Answer:

The answer is D.2

For triangle XYZ, m∠X = 47°, m∠Y = (2x − 18)°, and m∠Z = (5x − 45)°. Find m∠Y.

m∠Y = 28°
m∠Y = 38°
m∠Y = 95°
m∠Y = 142°

Answers

i think the answer is c ( m

The measure of <Y is 38.

What is Angle Sum Property?

According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180, regardless of whether it is acute, obtuse, or right.

One of the most commonly applied properties in geometry is the triangle's angle sum property.

Given:

m∠X = 47°, m∠Y = (2x − 18)°, and m∠Z = (5x − 45)°.

Using angle sum property

m<X + m<Y + m<Z = 180

47 + 2x- 18 + 5x - 45= 180

7x -16=180

7x= 180+16

7x= 196

x= 196/7

x= 28

So, the measure of <Y = 2x- 18 = 2(28) - 18 = 56-18 = 38

Hence, the measure of <Y is 38.

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Determine which integer will make the inequality 4x + 6 < 2x + 12 false.

S:{1}
S:{−1}
S:{4}
S:{−4}

Answers

Out of the given integer(s), {4} is the integer which will make the inequality 4x + 6 < 2x + 12 false.

What is Inequality?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions unequally.

Based on the question, we are supposed to determine which integer will make the inequality  4x + 6 < 2x + 12 false

Let's solve the inequality for the range of x first;

4x + 6 < 2x + 12

4x - 2x <  + 12 - 6

2x < 6

x < 3

So for all values of x < 3, the inequality  4x + 6 < 2x + 12 is true and for all values of x > 3, the inequality 4x + 6 < 2x + 12 false.

Hence, we accept {4} as our required integer.

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List 20 multiples of 9. Use the multiples to justify the divisibility rule 9.

Answers

20 multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180.

if the sum of its digits is divisible by 9 or if tje sum is a mutiple of 9, then the number is divible by 9.

add up the digits and figure out if the sum if the digits is a multiple of nine or weather its divisble by 9

Answer:

9 x 1         9

9 x 2 18

9 x 3 27

9 x 4 36

9 x 5 45

9 x 6 54

9 x 7 63

9 x 8 72

9 x 9 81

9 x 10 90

9 x 11 99

9 x 12 108

9 x 13 117

9 x 14 126

9 x 15 135

9 x 16 144

9 x 17 153

9 x 18 162

9 x 19 171

9 x 20     180

Step-by-step explanation: Divisibility Rule of 9

That is, if the sum of digits of the number is divisible by 9, then the number itself is divisible by 9. Example: Consider 78532, as the sum of its digits (7+8+5+3+2) is 25, which is not divisible by 9, hence 78532 is not divisible by 9.

What is 10x10x20x90?

Pls help!

Answers

Answer:

The answer is 180,000

Answer: 180000

I really hope this helped you! good luck

find the value of the expression 11a^3b^0 if a=2, b=-8

Answers

11a^3b^0
Plug in the variables and evaluate
11(2)^3(-8)^0
=88

The solution for the given expression 11a³b⁰ is 88.

What is Power of any number?

Power implies a number is multiplied how many times by itself. If a is any positive number and n is its power , then aⁿ means a is multiplied by itself n times

The given expression is,

11a³b⁰

Also given that,

The value of a=2 and b=-8,

Substitute the value of a and b in expression 11a³b⁰,

11×2³×(-8)⁰

⇒11×8×1  (Since,  a⁰=1)

⇒88.

The value of expression 11a³b⁰ is 88.

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20 girls and 28 boys volunteer to plants trees at a school. The principal divides the girls and boys into identical groups that have girls and boys in each group. What is the greatest number of groups the principal can make?

Answers

Answer:

I think it's 4 groups because I think it's asking to find the gcf

4 groups because you find the greatest common factor for both of them

help me please ill give the crown

Answers

Answer: D

Step-by-step explanation: i think this because,well I'm smart    

(I Think)

D
because if she walked back 48 feet and then she seeing from 5 feet and at 12 then that would 25

HELLP ME FOR 30 PTS PLEASEEE

Answers

Step-by-step explanation:

9. x°=90°-30°=60°

10. x°=180°-(40°+65°)=180°-105°=75°

11. x°=180°-(35°+45°)=180°-80°=100°

12. x°=180°-(25°+x°+65°)

x°=180°-90°-x°

2x°=90°

x°=45°; (x+65)°=110°

13. x°=180°-(48°+x°-44°)

x°=180°-4°-x°

2x°=176°

x°=88°; (x-44)°=44°

14. x°=180°-(73°+x°-11°)

x°=180°-62°-x°

2x°=118°

x°=59°; (x-11)°=48°

This is the last question I need help with and I need it fast

Answers

Answer:

x=5

Step-by-step explanation:

m = y2-y1 / x2-x1

-7/2 = -5 - 2 / x -3

-7/2 = -7 / x-3

x-3 = -7 * -2/7

x-3 = 2

x=5

The answer is 2 because it just makes enough sense

Help me solve it with explanation.

Answers

Answer:

I will guess 16

Step-by-step explanation:

Answer:

A 22

Step-by-step explanation:

n is any number in a sequence. It can be replaced by any number in any order, hence 8. "8th term in this sequence".

You plug 8 in accordance to the question in the following equation:

2n+6

2(8)+6

Then, solve it using order of operations:

16+6

=22

help :))) ill give brainliest

Answers

Answer:

A rectangle is formed

Step-by-step explanation:

sqaure im not sure it just makes sense for example point 1 goes to 2 which goes to 3 and goes to 4 and 4 goes back to 1 thanks for your time

A river flows over a dam at a constant rate. In 1 second, 49 m(mini 3 not big) of water flows over the dam. Let x represent time in seconds and y represent water volume in cubic meters. This situation is graphed below. Which equation represents this water flow over time?




Question 6 options:

.A Y=-49x

.B Y=49x

.C Y= 1/49x

.D Y= - 1/49x

Answers

C because if you look at the problem it gives you the answer basically
Answer

The answer is D

Can someone help me asap I go to this class soon

Answers

80 is the awnser
pls chose as brainlyist

What does the point (2,8) mean?

Answers

Answer:

One cup of flour makes four muffins

Step-by-step explanation:

In (2, 8), two is the number of cups used and eight is the number of muffins made.

(2, 8) tells you that, for every two cups of flour used, Richard makes eight muffins.

This means that one cup of flour makes four muffins.

Answer:

2 cups, 8 muffins

Step-by-step explanation:

(x, y)

On the x axis its labeled Cups and on the y axis its labeled muffins

Hope this helps :)

Rosie buys her favorite hot chocolate from a hot chocolate shop. She pays $5.00 and gets a 20 oz. cup. What is the unit rate price per ounce for her hot chocolate?(1 point)

Answers

Answer:

4oz = 1$

Explain your answer:

4oz equals to one dollar so that means if you do 4oz times 1$ is 20oz

1.7.PS-13
At the end of a party,
each friend get?
5
cup of dip is left. Jim divides of the leftover dip equally between 3 friends. How much dip does
7
Each friend gets cup.
(Type a whole number or a fraction.)
Question Help
53

Answers

5/7 cup of dip! Gotta get 20 words in so don’t mind this haha

Please Help!! Its due TONIGHT!!!!

Answers

ANSWER: (a) ZY = 20 (b) x = 2

EXPLANATION:

(a) 5/6 = .833
.833 • 24 = 20

(b) 4.5+2 = 6.5
39/6.5 = 6
2 • 6 = 12
Answer:…. (a)ZY=20 (b) x=2

Help!!!!!!!!!!!!!!!!!!!!

Answers

your on the right answer i believe
Your answer is correct I think

What is the slope of this line?

Answers

Answer:

-3/4

Step-by-step explanation:

The "rise" is -3 and the "run" is 4

Answer:

-3/4

Step-by-step explanationn:

"run" is 4

"rise" is -3

ill give the crown if right

Answers

80 because its about half of the building

Answer:

The answer is 80 ft

Step-by-step explanation:

Based on the diagram we know that the tree triangle and the building triangle are similar triangles where the lengths of each are proportional to the other. 

The lengths of the triangle the tree makes are half of the lengths of the building triangle.

So this problem can be solved using ratio and proportion:to solve for x, all you need to do is cross multiply then divide. The answer is then 80ft.Another way to solve this is just by using logic. If the lengths of the tree triangle is half of the building, simply divide the lengths of the building triangle by two. 160ft/2 = 80ft. 

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