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Alexxx [7]
3 years ago
11

Given: ABCD is a parallelogram m∠A = 60º ; BK ⊥ AD AK = KD; Perimeter of ABCD = 24 Find: BD.

Mathematics
1 answer:
AveGali [126]3 years ago
3 0
Since AK =  KD, then the triangle ABD is isosceles,
Then BD = AB. Denote AB by x and AK by y. 
Then, 
2x+4y=24 (the perimeter)
cos 60=y/x. 
From the second equation we get y=0.5x
Plug in the first equation we get: 
2x+4(0.5x)=24\\2x+2x=24\\4x=24\\x=6
We deduce that BD=6.
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2 ways to simplify 4(5+6)
Mariana [72]
#1: 4*5 + 4*6=20+24=44
#2: 4*(5+6)=4*11=44
8 0
2 years ago
Read 2 more answers
9. Mark is filling up crates with watermelons for the food drive. He has large watermelons that weigh 10 pounds each and smaller
abruzzese [7]
9. 10x + 5y is the equation for larger watermelons + smaller watermelons (you did not provide information about the medium watermelons, so we must assume given the options you miswrote one of them). We can hold NO MORE than 500 pounds, so 10x + 5y must be smaller than 500. The best answer is C assuming that "5y" represents your "Medium Watermelons"- because smaller watermelons are stated to be 5 and medium ones should therefore be between 5 and 10, the option provided by A wouldn't make since because 3 pounded watermelons are not "medium" in comparison to the "small ones" that are heavier/bigger. Your best option is C, 10x + 5y < 500, the exact answer technically would be 10x + 5y <= 500.
4 0
3 years ago
5b - 5 - 12b - 7<br> I need steps please and thank you
Misha Larkins [42]

Answer:

7b-12

Step-by-step explanation:

12b-5b-7-5

7b-12

8 0
3 years ago
Which of the following pairs of angles are congruent? ( Answer as soon as possible)
Aleks04 [339]

Answer:

C. <w and <y

Step-by-step explanation:

<t and <x are corresponding angles, therefore they are congruent to each other by the corresponding angles theorem.

<w and <y are also corresponding angles and are therefore also congruent.

<x and <z are congruent also based on the vertical angles theorem.

<t and <z are alternate exterior angle, and are therefore congruent also.

So, from the pairs of angles given as options, the only given pair of angles that are congruent would be:

<w and <y

6 0
3 years ago
You have $200 in a savings account.Each week for 8 weeks,you take out $18 for spending money.How much money is in your account a
g100num [7]

The amount of money in your account is mathematically given as

x = $56

This is further explained below.

<h3>What is an account?</h3>

Generally, An account is a term used in accounting to refer to assets, liabilities, income, costs, and equity.

In bookkeeping, an account is represented by a single page in a ledger, and any changes in value are chronologically documented using debit and credit entries.

These entries, which are also known as posts, are added to a book of final entries or ledger and form a part of it.

In conclusion, the amount of money in your account will be

18 * 8 = 144

Therefore

x=200 - 144

x = $56

Read more about the account

brainly.com/question/22917325

#SPJ1

5 0
1 year ago
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