2. AB – AD and BC - DC. Solve for x:

Answers

Answer 1

Answer:

From the diagram since AB = AD = BD, hence ABD is an equilateral triangle. (All angles = 60 degrees)

ADC is a straight line, hence BDC = 120 degrees and triangle BDC is an isosceles triangle.

Hence angle B = C and B+C = 180-120 = 60 degrees.

Hence, (x) angle C = A. 30 degrees

Step-by-step explanation:


Related Questions

Please Help!!
What does x equal?

Answers

Answer:

x=25

Step-by-step explanation:

60°+95°+X=180°

X=180°-60°+95°

X=180°-155

X=25°

Steve sold 252 fruit baskets for a school fundraiser. Evie sold 25 fruit baskets for each 100 baskets that Steve sold. How many fruit baskets did Evie sell?

Answers

Answer:

63 baskets

Step-by-step explanation:

Given data,

Steve sold = 252 baskets

Evie sold = 25 fruit basket for each 100 basket sold by Steve

So, Evie is selling 25% of baskets sold by Steve.

We can calculate the total number of basket sold by Evie by using following formula,

Evie total basket sold = Percent sold by Evie × Basket sold by Steve

By putting the value, we get

Evie total basket sold = 25% × 252

= 63 baskets

A department store buys 500 shirts at a cost of $12,000 and sells them at a selling price of $30 each.
Find the percent markup
The percent markup is % (Round to the nearest winole number as needed.)
Help

Answers

Answer:

25%

Step-by-step explanation:

A department store buys 400 shirts at a cost of $6,400 and sells them at a selling price of $20 each. Find the percent markup.

I couldn't seem to calculate: A department store buys 500 shirts at a cost of $12,000 and sells them at a selling price of $30 each.

Find the percent markup

The percent markup is % (Round to the nearest whole number as needed.)

1. A salesperson will earn a commission equal to 1/10 of the
total sales. What is the commission earned on sales totaling
$26, 000?

Answers

Answer:

Step-by-step explanation:

1/10=0.1

if the total sales is  26,000

the commission will be 26,000*0.1=2,600 dollars

1/10 or 1 tenth is equal to 10%.

To work out 10% of 26000, you need to divide it by 100 to find 1% and then multiply that by 10 to find 10% which is 2600.

The salesperson would earn $2600 commission per $26000 sale.

How many times can Henry expect to roll a 4 if he rolls a fair number cube 120 times?

Answers

120 x (1/6) = 20 times

Henry can expect to roll a 4 about 20 times if he rolls a fair number cube 120 times.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of rolling a 4 on any given roll is 1/6.

The expected number of times that Henry can roll a 4 is equal to the probability of rolling a 4 on a single roll multiplied by the number of rolls.

Expected number of times to roll a 4 = Probability of rolling a 4 on a single roll × Number of rolls

Expected number of times to roll a 4 = (1/6) × 120

Expected number of times to roll a 4 = 20

Therefore, Henry can expect to roll a 4 about 20 times if he rolls a fair number cube 120 times.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ6

The number of people estimated to vote in an election was 7,000. The actual number of people who voted was 5,600.

By what percent did the estimate vary from actual turnout?

Answers

Answer:

20%

Step-by-step explanation:

7000-5600=1400

1400/7000×100=20

Answer:

20%

Step-by-step explanation:

6. Which is a unit rate?
A. 55 miles per hour
B. 5 oats to 3 bran
C. 1 out of 3
D. 2.25 miles to 60 minutes
pls answer

Answers

it's A

Step-by-step explanation:

describes 55 per unit/the hour

ANSWER QUICK PLZ!!!

What is the equation of the line that has a slope of -2 and passes through the point (-2, 9)? (Write your answer in slope intercept form​

Answers

Answer:

y= -2x+5

Step-by-step explanation:

find y-intercept:

9=4+b

b=5

Y= -2x x 12 you welcome sir

In one day the National Civil Rights Museum in Memphis Tennessee admitted 321 people and collected $1590. The price of admission is $6 for adults and $4 for children under 13. How many adults and how many children were admitted to the museum that day?

Answers

Answer:

Step-by-step explanation:

a + c = 321

6a + 4c = 1590

c = 321 - a

6a + 1284 - 4a = 1590

2a = 306

a = 153

c = 168

$18, P = $200, r = ?, t = 1.5 years. Find the annual interest rate.


I = $60, P = $750, r = 4%, t = ?. Find the amount of time. (sorry I added this one as well the other time I asked this no responded but you don't have to answer this if you want)

Answers

                                                  Question 1)

Given

Interest I = $18

Principle P = $200

t = 1.5 years

To determine

Interest rate r = ?

Using the formula

[tex]P = Irt[/tex]

[tex]r=\frac{I}{Pt}[/tex]

susbtituting I = 18, t = 1.5 and P = 200

[tex]r=\frac{18}{\left(200\times 1.5\right)}[/tex]

[tex]r = 0.06[/tex]

or

r = 6%       ∵ 0.06 × 100 = 6%

Therefore, we conclude that the interest rate required to  accumulate simple interest of $18.00  from a principal of $200 over 1.5 years is 6% per year.

                                                    Question 2)

Given

Interest I = $60

Principle P = $750

Interest rate = 4% = 0.04

To determine

Time period t = ?

Using the formula to calculate the time period

[tex]P = Irt[/tex]

[tex]t\:=\:\frac{P}{Ir}[/tex]

[tex]t=\frac{60}{\left(750\times 0.04\right)}[/tex]

[tex]t = 2[/tex] years

Therefore, the time required to  accumulate simple interest of $ 60.00

from a principal of $ 750 at an interest rate of 4% per year  is 2 years.

Pls help I will give you 15 points

Answers

Answer:

Ana still needs to read 1/5 of th journal

A shop sells 3 types of boots football boots rugby boots and hiking boots sales are usually sold in the ratio 6:2:3 last moth 24 football boots were sold how many boots in total was sold last week

Answers

Answer:

44

Step-by-step explanation:

The sum of the ratios is 6 + 2 + 3 = 11

Let b = total number of boots sold last week

If 24 football boots are sold, the equation representing this =

6/11 x b = 24

To solve for b, divide both sides by 11/6

b = 44 =  total number of boots sold last week

Answer:

7.23

Step-by-step explanation:

What is an example of a positive conformity!!

Answers

Answer:

Examples of obedience in daily society involve driving to the left (or to the right depending on the country), inviting other people to the road with a 'hello' when we see them.

Step-by-step explanation:

Hope this helps

solve for 5^2+2(4)+8+4

Answers

120 because 5x5 give 25 + 2 then you continue multiplying

DUE IN 30 MINS HELP PLSSS​

Answers

445.3333 (i think that’s 445 remainder 3)

Answer:

445 remainder 3

Step-by-step explanation:

9 × 4 = 36

40 - 36 = 4

Bring down the 0.

9 × 4 = 36

40 - 36 = 4

Bring down the 8.

9 × 5 = 45

48 - 45 = 3

Hope that helps.

A juice box has 20% more juice in its new package the original package held 12 ounces of juice how much juice does the new package hold

Answers

14.4 ounces

Take 12* 20% = 2.4
Then add that to the 12 oz

show that 0.252525 is a rational number​

Answers

0.25 but put a dash on top of the 2 and 5

Which is the value of x?

Answers

Answer/ Step-by-step explanation:

x = 28

Opposing angles are equal to each other. So, to solve this, use reverse order of operations.

63 + 21 = 84

84 ÷ 3 = 28

So x = 28

find the slope of the line that passes through the points (10,8) and (9,13).

Answers

Answer:-5

Step-by-step explanation:

(1/2)^-3 what’s the answer

Answers

Answer: the answer is 8

Step-by-step explanation: hope this helps, have a good day!

what is 6x-12-x+8=2(x-14) NEEED THIS ASAP!!!!!!!!!!!!!

Answers

Answer:

x = - 8

Step-by-step explanation:

Based On A Math Calculator Online

Solve by factoring. x2 - 49 = 0

Answers

Answer:

x=24.5       2(x + 24.5) = 0

Step-by-step explanation:

x2 - 49 = 0

     +49    +49

x2 = 49

/2       /2

x   = 24.5

2(x + 24.5) = 0

The sum of 3 times a number and 6 is 9.​

Answers

Answer:

3

Step-by-step explanation:

9-6=3 it should be 3, let me know if not

2x + y=3 in Slope-Intercept Form.​

Answers

Answer:

y=-2x+3

Step-by-step explanation:

y=-2x+3

just take 2x from both sides

Answer:

m = –2 b = 3

Step-by-step explanation:

5y = 3x Divide both sides by 5 to solve for y.

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
20x – 24y = -144

Answers

Answer:

y = 5/6 x + 6

Step-by-step explanation:

Y=5/6x+6 would have to be your answer

A zookeeper is 6 1/4 feet tall. A young giraffe in his care is 9 3/8 feet tall how many times as tall as the zookeeper is the giraffe?

Answers

Answer: The giraffe is 1.5 times tall as the zookeeper.

Step-by-step explanation:

Given: Height of Giraffe =  [tex]9\dfrac38\ feet =\dfrac{72+3}{8}\ feet =\dfrac{75}{8}\ feet[/tex]

Height of zookeeper=  [tex]6\dfrac14\ feet =\dfrac{24+1}{4}\ feet =\dfrac{25}{4}\ feet[/tex]

Let n = number of times the giraffe is tall as the zookeeper.

[tex]n=\dfrac{\dfrac{75}{8}}{\dfrac{25}{4}}=\dfrac{75\times4}{25\times8} = 1.5[/tex]

Hence, the giraffe is 1.5 times tall as the zookeeper.

Monica deposit 300 into a savings account that pays a simple interest rate of 4.3% call deposit 400 and into the savings account that pays simple interest rate of 4.2% Monica says she warren more interest in one year because her interest rate is higher is she correct

Answers

Answer:

No

Step-by-step explanation:

MONICA:

Principal, p = 300

Simple interest, r = 4.3% = 0.043

CALL:

Principal, p = 400

Simple interest, r = 4.2% = 0.042

Amount, A received by each after one year :

Recall:

A = p(1 + rt) ; time, t = 1 year

MONICA:

A = 300(1 + 0.043(1))

A = 312.9

CALL = 400(1 + 0.042(1))

A = 416.8

Monica is incorrect, this is because amount earned is not only dependent on the interest rate but also the number of period and the initial or principal amount deposited.

Five girls in a homeroom class of 20 students have blonde hair. If there are 120 students in the school, how many would you predict are blonde haired girls?

Due by friday

Answers

Answer:

30

Step-by-step explanation:

120 / 20 = 6

5 × 6 = 30

30 blonde haired girls

The perimeter of a rectangle is 56 meters, and its length is 15 meters. Which equation can be used to find the width of the rectangle?
50 points

Answers

Answer:

Step-by-step explanation:

2(L+B)

Where L is the length and B is the breadth.

If 11 pens cost £1.32,
find the cost of 7 pens

Answers

Step-by-step explanation:

£1.32/11=.....a

...a*by7

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