The diagram shows a parallelogram ABCD and an equilateral triangle BDE.

CDE is a straight line.

(a) Work out angle BDE
Give a reason for your answer.

(b) Work out angle CDB
Give a reason for your answer.

The Diagram Shows A Parallelogram ABCD And An Equilateral Triangle BDE.CDE Is A Straight Line.(a) Work

Answers

Answer 1

Answer:

a) ∠BDE is 60° because ΔBDE is an equilateral triangle with all three angles = 60°.

b) ∠CDB = 120° because 180° - 60° = 120°

Step-by-step explanation:


Related Questions

pls HELPPP !

solve the systems of equations of x+2y=21 and -2x-y=-12

Answers

Answer:

I really hope it's right!

Only need help 4 to 8 please Please help me my sister in the hospital and I don’t know how to do this type of homework I’m trying my best :( pray for my sister please

Answers

Answer:

I'm so sorry for ur sister

Question 11
2 pts
If the temperature at 10:00 am is -23° F and two
hours later at 12.00 pm the temperature rose 6
degrees Fahrenheit, what is the
temperature at
12:00 pm in degrees?

Answers

-17°F bc -23+6 is -17

Please need help thank you

Answers

Answer:

9

Step-by-step explanation:

Answer:

9 clients ran at least 2 laps

Step-by-step explanation:

5 clients ran 2 laps, and 4 clients ran 3 laps

Researchers studying the sticky droplets found on spider webs will measure the widths of a random sample of droplets. From the sample, the researchers will construct a 95 percent confidence interval to estimate the mean width of all such droplets. Which of the following statements about a 95 percent confidence interval for the mean width is correct?
A. The interval will be narrower if the researchers increase the level of confidence to 99 percent.
B. The interval will be narrower if the researchers increase the sample size of droplets.
C. The interval will be wider if the researchers decrease the level of confidence to 90 percent.
D. The interval will be wider if the researchers increase the sample size of droplets.
E. The width of the interval will not be affected if the researchers increase or decrease the number of droplets in the sample.

Answers

Answer:

B. The interval will be narrower if the researchers increase the sample size of droplets.

Step-by-step explanation:

Margin of error of a confidence interval:

The higher the margin of error, the wider an interval is.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level(the higher the confidence level, the higher z), [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

From this, we conclude that:

If we increase the confidence level, the interval will be wider.

If we increase the sample size, the interval will be narrower.

Which of the following statements about a 95 percent confidence interval for the mean width is correct?

Increasing the sample size leads to a narrower interval, so the correct answer is given by option B.

Give the properties for the equation -2x 2 - y + 10x - 7 = 0.

>Vertex

(5/2, 11/2)
(-5/2, 11/2)
(5, -7)

Answers

Given:

The quadratic equation is

[tex]-2x^2-y+10x-7=0[/tex]

To find:

The vertex of the given quadratic equation.

Solution:

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then

[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]

We have,

[tex]-2x^2-y+10x-7=0[/tex]

It can be written as

[tex]-2x^2+10x-7=y[/tex]

[tex]y=-2x^2+10x-7[/tex]           ...(i)

Here, [tex]a=-2,b=10,c=-7[/tex].

[tex]\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{-10}{-4}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{5}{2}[/tex]

Putting [tex]x=\dfrac{5}{2}[/tex] in (i), we get

[tex]y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7[/tex]

[tex]y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7[/tex]

[tex]y=\dfrac{-50}{4}+25-7[/tex]

[tex]y=\dfrac{-25}{2}+18[/tex]

On further simplification, we get

[tex]y=\dfrac{-25+36}{2}[/tex]

[tex]y=\dfrac{11}{2}[/tex]

So, the vertex of the given quadratic equation is [tex]\left(\dfrac{5}{2},\dfrac{11}{2}\right)[/tex].

Therefore, the correct option is A.

please i will give you brainly -1,8÷9 I need step by step​

Answers

Answer:

-0.2

I couldn't get step by step but hope this answer helps out a little...

(Do you need it for ur assignment?)

Step-by-step explanation:

-18/9 = 2, 9 goes into 18, 2 times, but  a negative divided by a positive always = a negative number so the answer would come out to be -2.  

-18/9 = 2, 9 goes into 18, 2 times, but  a negative divided by a positive always = a negative number so the answer would come out to be -2.  

however is you were typing -1.8 / 9 then it would be -0.2. Multiplying -0.2 * 9 would give you -1.8. Same rule applies as to why it's negative

I wasn't sure if the comma was a typo in your question but I Hope this helps :)

(PLEASE HELP)James tosses a coin 50 times. It lands on heads 23 times and on tails 27 times.
What is the relative frequency of the coin landing on heads in this experiment?

A 23%

B 46%

C 50%

D 54%

Answers

Answer:

b

Step-by-step explanation:

Find the value of x
Pls help

Answers

Answer:

10

Step-by-step explanation:

Both angles will be equal as they are opposite angles

➝13x=130

➝x=130/13

➝x=10

I'm in the test and need help please
Graph the solution to the following linear Inequality​

Answers

Wait a 10 minutes I will send you answer

I need help ASAP I’m confused with this problem

Answers

Answer:

I believe it's A

Step-by-step explanation:

not sure but

A 28 ft ladder is leaned against the side of a building and its base is 5 ft away from the building. How far up the building will the ladder reach?

Answers

Answer:

27.55ft

Step-by-step explanation:

28²-5²=x

784-25=759

square root of 759=27.55

can you help me please ​

Answers

Answer:

3.96 x 10^-11

Step-by-step explanation:

Hope this helps.

There were 58 frogs in a pond.f of the frogs hopped away.Choose the expression that shows how many frogs are in the pond.

A. f - 58
B. 58 - f
C. f + 58
D. f

Answers

The answer would be B because you had 58 frogs Then the F total leaped away and let’s say the F part was two so that would be 58-2 but in this problem it’s 58-f

PLEASE JUST HELP ITS ACTUALLY AN EMERGENCY I WILL GIVE 3K ON BLOXBURG FOR THIS

Answers

cut off the topright rectangle so there are 2 rectangles.

That will make it look like this

2x3=6

            +

5x3=15

            =

21

            The area of that shape would be 21 square feet

21 square ft                                                                                                                                              

u got 3K i only got 1K cuz i be spending it on my house and emotes and food ;-;

                                                                                                                                                                                                                                                                                                                             

13 An archaeologist plans to excavate a circular burial
mound with radius 23 m
What is the circumference of the mound?

Answers

Answer:

C ≈ 144.51m

explanation

C = 2 x pie(math's one not the other one) x r

C = 2 x pie x 23

C = 144.51

I hope this helps a little bit.

Plz help someone I’m very bad at math:
Bob placed a 17-foot ramp against the side of a house so the ramp rested on a ledge
that is 8 feet above the ground. How far was the base of the ramp from the house?

Answers

Answer:

get help here http://msflowersmath.weebly.com/uploads/2/7/8/6/27867809/8.3.pdf

1. Consider the surface area of the following pyramid.
Calculate the total surface area of the pyramid. Show your work!
Answer:

Answers

Answer:

45 cm

Step-by-step explanation:

You use the formulas 1/2*base*height for area of a triangle and edge squared for the square so you do 1/2*2.24*3 for the area of one triangle, then times this by 4 to account for all triangles, then you add this to 3*3 which is the area of the square

(10y + 3) - (2y - 2)

Answers

Answer:

8y+5

Step-by-step explanation:

Rewrite the number in Standard form
6 x 10^8

Answers

Answer:

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.

Answer:

600000000

Step-by-step explanation:

10^8=100000000

6×100000000=600000000

hope this helps


Please I really need help please please please please please please please please please

Answers

9514 1404 393

Answer:

  D and E are each 62 cm

Step-by-step explanation:

Apparently, you want the total width of the bookcases to match the width of the wall.

  132 +92 +108 +w +w = 456

  332 +2w = 456

  2w = 124 . . . . . . . subtract 332

  w = 62 . . . . . . . . . divide by 2

The width of bookcases D and E is 62 cm.

Please help this is due TODAY

Calculate the unknown variable value .


Do not answer with a one answer, blank or a ridiculous answer please this is serious.

Answers

Answer:

Z= 10cm
X= 17cm
Y= 8cm

Explanation:

One half of the image can be mirrored to the other side. This means that the variables are equivalent to the number on the exact opposite side of them.


Chris and Pat worked the same number of days and earned equal amounts of money, Chris earned a rate of $75 per day. Pat earned a rate of $50 per day and
received a honus of $125 How many days did each of them work

Answers

Answer:

A, 5 days

Step-by-step explanation:

Let's set the number of days as x. Then, the amount of money each person earned is:

Chris: 75 * x

Pat: 50 * x + 125

Then, because these are equal amounts,

75x = 50x + 125

Subtract 50x from both sides.

25x = 125

Divide both sides by 25.

x = 5

So, they worked for 5 days, or option A.

Write the equation of a line that
passes through the point (0, 3)
with a slope of -3.

Answers

Answer:

y= -3x + 3

Step-by-step explanation:

the point given tells you the y-int

given that y=mx + b, you can plug in the values

y= -3x + 3

what note receive one beat in 4/4

Answers

Answer:

Step-by-step explanation:

A quarter-note.

a quarter note of it is in common time

HELPPPPP Find the value of x.

Answers

its 60 answer C.............

This graph shows how fast a race car can travel in a stock car race


What is the meaning of the point with an x-coordinate of 2?



A. The race car travels 2 meters in 180 seconds

B. In 1 second, the race car travels 2 meters

C. In 2 seconds, the race car travels 180 meters.

D. It takes the race car 60 seconds to go 2 meters ​

Answers

Answer:

C. In 2 seconds, the race car travels 180 meters.

Step-by-step explanation:

Pls help me i didnt understand this!!

Answers

I think its 90 so yeah um pick that

Answer:

90

Step-by-step explanation:

I don't know to explain but I believe I'm right

What is the value of n

Answers

Answer: n=10
Explanation: sin(30°)=n/20 multiply 20 to sin(30°) and you get 10

Please answer the questions below

Answers

Answer:

15 cm²

Step-by-step explanation:

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