a) BCD is a straight line.
Triangle ABC is equilateral.
CE = DE
E
Not drawn
accurately
А
320
B
С
Work out the size of angle x.
(4)​

A) BCD Is A Straight Line.Triangle ABC Is Equilateral.CE = DEENot Drawnaccurately320BWork Out The Size

Answers

Answer 1

Answer:

x = 46°

Step-by-step explanation:

Since Δ ABC is equilateral then interior angles = 60°

Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so

∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

BCD is a straight line, then the 3 angles on it sum to 180°, that is

60° + 74° + x = 180°

134° + x = 180° ( subtract 134° from both sides )

x = 46°


Related Questions

QUESTION IS IN IMAGE

Answers

Answer:

112

Step-by-step explanation:

so although 8 wouldn't fully trust me here my best bet would be 112 because 68 plus 112 is 180 which is half of 360 and 360 Is the degrees 9f the circle.

You have a 10% coupon for your favorite restaurant. You order $75 worth of food and drinks. What will your bill be (before tax) after the 10% discount?

Answers

Answer: $67.50

Step-by-step explanation:

GUYS THIS IS DUE TODAY PLZ HELP

What is the surface area of the solid?

Answers

174 inches hop this helps

The height of a triangle is 6 cm and area of the triangle is 24 cm^2. What is the length of the base of the triangle

Answers

Answer:

4cm

Step-by-step explanation:

24/6=4cm

The symbol^ => "means to the power of". The value of 3^2 + 2^3
10 points

Answers

Answer:

17

Step-by-step explanation:

3^2 = 3*3 = 9

2^3 = 2*2*2 = 8

3^2 + 2^3 = 9 + 8 = 17

Fill in the blank with the correct word(s) to complete the sentence.


A three-dimensional figure has ______, width, and _____.


A.
length; height


B.
length; congruent


C.
height; pattern


D.
length; pattern

I WILL GIVE A BRAINLEST TO (1) LUCKY WINNER THE WINNER GETS POINTS AND BRAINLESTS! ENJOY ;)

Answers

Answer:

A

Step-by-step explanation:

i promise it's right

the answer is A. length; height

Loraine is procrastinating on her chemistry homework. She's never really enjoyed chemistry and finds the subject dull, even though it sometimes comes easily to her. She usually completes the homework in a quiet room by herself, with all the materials she needs. What is the likely cause of Loraine's procrastination?

Answers

the cause of the procastination maybe because she can actually do it herself .it never mentioned that it was hard for her.maybe she get excited about the subject she have to work for hard

Answer:

her lack of interest in chemistry

Step-by-step explanation:

In a class of 34 students…

> 12 study German
> 25 study Spanish
> 6 do not study either language

One student in the class is selected at random.

Find the probability that this student studies both languages.

Answers

Answer:

My answer to this question would be :

6 = 34 - (12+25) + X

6 = -3 + X

9 = X

The probability would be : 9/34 = 0.26

I am not really sure i will check it later and tell you .

I would be happy if you let me know it was wrong or not , too .

What is the additive inverse of the complex number 9 – 4i? –9 – 4i –9 + 4i 9 – 4i 9 + 4i

Answers

Answer:

-9+4i

Step-by-step explanation:

Additive inverse + 9-4i = 0,

therefore additive inverse = -9 + 4i

Answer:

B. -9+4i

Step-by-step explanation:

Just took the Pre-Test on Edg. !!

Solve the inequality

23 < k + 18

Answers

Answer:

k >5

Step-by-step explanation:

I hope I got it correct ! Good luck :)

How many toothpicks make a triangle? Two triangles? Write
an expression that represents the number of toothpicks
needed to make x triangles that appear side-by-side in a
single row, as shown. Explain your reasoning,

Answers

Answer:

3 toothpicks make a triangle  x =3

Step-by-step explanation:

(04.05)
Which of the following is true about a function that is constant? (4 points)

HELP PLEASE

Answers

Answer:

A. it is a horizontal line

Step-by-step explanation:

help me answer the questions please ​

Answers

E
U
N
L
E
Good luck!!!!!!!

Please help
-3.7n = -22.2

Answers

Answer:

n=-22.2/-3.7 { - and - will cancel}

so n=22.2/3.7

therefore n=6

1. Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year
Use an exponential function to find the annual sales after 7 years.

Answers

Answer:

The value after 7 years is $ 855355.65

Solution:

Given that, Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year

To find:  exponential function to find the annual sales after 7 years

The exponential growth function is given as:

Where,

"a" is the initial amount

"y" is the future value

"r" is the rate of interest in decimal

"t" is the number of years

Here in this given question,

a = 650000

t = 7 years

Substituting the values in given formula,

Thus the value after 7 years is $ 855355.65

Step-by-step explanation:

why is 3 1/2 multipiled by x in the equation

Answers

Answer:

I don't know the equation, but I will assume that 3 1/2 is the slope.

Step-by-step explanation:

For example, in the equation y = 10x - 9, the slope is 10.

Answer:

3 1/2 x is multiplied by x In the equation because it is the coefficient, the number being multiplied by the variable

Step-by-step explanation:

Paul surveyed 200 randomly selected people in the mall and asked them what genre of movie they prefer. Their
results are shown in the bar graph.

Answers

D. This is because after you narrow it down and add it together science fiction and comedy is 30 percent

help! asap! :) please I need help can u do this?

Answers

The answer is N-2 is the right answer

PLEASE HURRY!!!

An airplane can seat up to 175 passengers. The airline has already sold 87 tickets for a flight on the airplane. Which graph represents the solution to the inequality that finds the number of tickets the airline can still sell?

Everybody is saying its c but it says its wrong on edge 2021

Answers

Answer:

C

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Show that x² + x +1 is always positive for all real values of x​

Answers

Answer: There are no negatives

Step-by-step explanation:

Jessica and her friends have gone to dinner. When they finished eating their bill came to $82. Jessica decided that she wanted to give a 19% tip . Estimate how much a19% tip on an $82 dinner bill will be.

Answers

Answer:

15.58

Step-by-step explanation:

82 x 0.19 = 15.58

Your final cost will be 97.58 (82 + 15.58)

Answer: The correct answer is D

Step-by-step explanation: I took the unit test

HELP!!


Which of the following statements is TRUE if angle 4 has a measure of 127°?
А
<1 = 53°
B
<2 = 53°
с
<3 = 127
D
<3 = 180°

HELP!!

Answers

A is the answer happy 2 help :D

Answer:

A

angle 1 + angle 4 is equal to 180

if angle 4 = 127, angle 1 must equal 53

Step-by-step explanation:

Is this non linear or linear?

Answers

Answer:

Non-linear

Step-by-step explanation:

If we were to graph this table, the points will form a curve.

This is most likely a exponential function, not a linear function.

A linear function would form a straight line on a graph.

Hope this helps!

Question 10
For a polygon with 10 sides, which equation below represents the sum of the interior angles in the polygon?
O sum = (180)(8) = 1440°
O sum = (360)(8) = 2880°
o sum = (360)(10) = 3600°
Osum = (180)(10) = 1800°

Answers

Answer:

I got sum = (180)(8) = 1440°

Step-by-step explanation:

1.) A toy helicopter costs $64 before
sales tax. If the sales tax is 5%, how
much would it cost to buy?

2. A piece of hematite contains 72% iron. if the hematite weighed 160g, how much iron would there be?

Answers

Answer: 1) 67.2 $
2) 44.8 g

Answer:

1.) 67.2

2.) 115.2

Step-by-step explanation:

WILL MARK BRAINLIEST!
Elevation questions:
1. how much higher is 500 than -400 m
2. how much higher is -200 m than 450 m

Answers

Answer: 900 and 650

Step-by-step explanation: so because 400 is negative, it would take 400 to get to 0 and 500 more to get to 500 so 900 for 1. And same thing for the second one, -200 plus 200 is 0 plus 450, it’s 650

Can someone tell me the answer and explanation??

Answers

Answer:

$15.21

Step-by-step explanation:

Why it would be D is if find out what the 17% is ($2.21) you would add it on top of the $13 and it gives you $15.21 or D.

what's the answer to this one ?

Answers

Answer:

59 degrees

Step-by-step explanation:

There are 360 degrees in a circle. Each arc with a known measure adds up to 242 degrees. To find the measure of the third remaining arc DC, we have to subtract 242 from 360, which leaves us with 118 degrees. The inscribed angle theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. This means we have to divide 118 by 2 to find the value of DC's associated inscribed angle. This leaves us with 59 degrees.

maria will run less than 32 miles this week. so far, she has run 18 miles. what are the possible numbers of additional miles she will run?

Answers

Answer:

17

Step-by-step explanation:

36-18=18

but it has to be less than 32 miles so its 17 miles.

1. Quadrilateral EFGH is an isosceles trapezoid. If mG is four times mH, what is mE? A)18° C)72° D)144° B)36°​

Answers

Answer:

<E = 36 degrees (Answer B)

Step-by-step explanation:

Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:

<E + <F + <G + <H = 360

Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G  and <E = <H .

The previous equation then can be written as:

<H + <G + <G + <H = 360

Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:

<H + 4 <H + 4 <H + <H = 360

10 <H = 360

divide both sides by 10 to isolate <H

<H = 360 / 10

<H = 36

Since as we mentioned, <E equals <H, we can state that

the measure of <E = 36 degrees (Answer B)

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