1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zysi [14]
3 years ago
7

The perimeter of the isosceles ?ABC with the base BC is equal to 40 cm. Perimeter of the equilateral ?BCD is 45 cm. Find AB and

BC.
Mathematics
1 answer:
Juliette [100K]3 years ago
7 0

Answer: AB = 12.5, BC = 15

<u>Step-by-step explanation:</u>

Perimeter of ΔBCD = BC + CD + BD. Since it is an isoceles triangle, then BC = CD = BD. So, Perimeter of ΔBCD = 3BC

3BC = 45

<u>÷3   </u>    <u>÷3 </u>

 BC = 15

Perimeter of ΔABC = AB + BC + AC.  Since it is an isosceles triangle with BC as the base, then AB = AC. So, Perimeter of ΔABC = 2AB + BC

2AB + BC = 40

2AB + 15 = 40

<u>          -15</u>  <u> -15 </u>

2AB       = 25

<u>÷2         </u>   <u>÷2  </u>

      AB  = 12.5

You might be interested in
PJ will begin her cake deliveries at 12:20 . She asked to remind her 30 minutes before she has to leave. What time should I remi
mojhsa [17]

Answer:

At 11:50  

Step-by-step explanation:

1. Subtract the hours and the minutes separately

12:  20

<u>- 0</u>: <u> 30</u>

12: -10

2. If the minutes are negative, subtract 1 from the hours and add 60 to the minutes.

12:    -10

<u> - 1</u>: <u>+ 60 </u>

11:   50

You should remind PJ about her deliveries at 11:50.

4 0
3 years ago
Malliki Williams earned a $48,000 from royalties on her cookbook.She paid a 28% income tax on these royalties. The balance wasin
Nikitich [7]

Answer:

$20000 and $14560

Step-by-step explanation:

First, we need to get the total tax paid by Malliki Williams

To get that, we have to multiply her income tax (28%) by total royalties ($48000)

28% of $48000 = $13440

Balance after tax = $48000 - $13440

Balance = $34560

She invested some of the balance ($34560) at the rate of

3.25% ---- First investment

1.75% --- Second investment

Assume her first investment is x dollars

Definitely, her second investment would be $34560 - x

3.25% of x + 1.75% (34560 - x ) = 904.8

0.0325x + 0.0175(34560-x) = 904.8 ----- Open the bracket

0.0325x + 604.8x - 0.0175x = 904.8 ------ Collect like terms

0.0325x -0.0175x =904.8 - 604.8

0.015x = 300 ------ Divide both sides by 0.015

x = 300/0.015

x = 20000

Remember that x represents her first investment

Her second investment is $34560 - $20000 =$14560

4 0
3 years ago
The average annual snowfall in king salmon, Alaska is 45.9 inches. The snow season last about 7 months of a year. About how much
Gelneren [198K]
There is 45.9 inches of snow for the whole year 
so average / month  = 45.9 / 12 =  3.825 inches
7 0
3 years ago
Read 2 more answers
What is the solution to the equation 3/5(x+4/3)=1.04
Fudgin [204]

Answer:

d

Step-by-step explanation

trust me bro

8 0
3 years ago
Help me pls. I will give you 16 points<br><br> Please
atroni [7]
2.  9 per flower
3. 4 per box
4.  1.75 of a pound

8 0
3 years ago
Other questions:
  • -9=2n Can you please help me
    8·1 answer
  • 7. $6,000 is invested in an account that earns 4.5% annual interest, compounded quarterly. What is the
    8·1 answer
  • Marcus was giving dollar bills from his grandfather each day for one week. On the first day he received one dollar, on the secon
    14·1 answer
  • The deepest part of a swimming pool is 12 feet deep the shallowest part of the pool is 3 feet deep. what is the ratio of the dep
    9·2 answers
  • How many 1/5 liter glasses can fill with 1 1/2 liter bottle of water?
    7·1 answer
  • I need help!!! Please
    12·1 answer
  • What is the domain of f (x) = 4 + 2x on a graph when the range is (0,6)
    12·1 answer
  • Need help ASP TWT……….
    8·1 answer
  • If 4/3 liters of water are enough to water 2/5 of the plants in the house, how som:
    6·2 answers
  • sarah spent a total of 10 on oranges and apples at the supet market. if she spent 3 dollars less for oranges than she did on app
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!