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tamaranim1 [39]
3 years ago
8

Given parallelogram RUST and m< RUT=43, what other angle has the same measurement

Mathematics
1 answer:
svp [43]3 years ago
7 0

9514 1404 393

Answer:

  (b) ∠STU

Step-by-step explanation:

Transversal UT between parallel sides RU and ST creates alternate interior angles RUT and STU. These are congruent.

  ∠STU has the same measure as ∠RUT

_____

The figure shown is a trapezoid, not a parallelogram.

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Stephanie inherited $40,000. She wants to put some of the money in a certificate of deposit that pays 2.1% interest per year and
Diano4ka-milaya [45]

$10000 in certificate of deposit

$30000 in mutual funds

Step-by-step explanation:

Step 1:

Total amount Stephanie has inherited = $40000

Let x be the amount she should put in certificate of deposit.

So 40000-x is the amount to be deposited in mutual funds

Step 2:

Total interest she wants to earn is 5.4% of $40000 = 5.4*40000/100 = 2160

Interest from certificate of deposit  = 2.1% of x = 2.1 * x /100

Interest from mutual funds is 6.5% = 6.5(40000-x)/100

Sum of the interest from both these equals 2160

so 2.1 * x /100 + 6.5(40000-x)/100 = 2160

=> 0.021x/100 + 2600-0.065x = 2160

=> -0.044x = -440 => x= 10000

Step 3 :

Hence Stephaine should invest $10000 in certificate of deposit and (40000-10000) = $30000 in mutual funds

7 0
3 years ago
From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was − 20 ° -20°C. What was the temperature at mi
tekilochka [14]

Answer: -28 degrees Celsius

Step-by-step explanation:

-20 - 8 = -28

4 0
3 years ago
If a rink is 3 times its width and the width is 10m what is the area
emmainna [20.7K]
300m because area is Length x width and it's 3x as big as 10 meters it's 30 x 10= 300
8 0
3 years ago
Please help my brain is dead -_-
ASHA 777 [7]
With out deductions the total will be 729.16. but with the deductions the income will be 500.
5 0
3 years ago
Read 2 more answers
In a survey of 300 house wires. It was discovered
ruslelena [56]

Answer:

46 housewives read all three magazines.

Step-by-step explanation:

Given:

        n(A) = 150

        n(B) = 200

        n(C) = 156

        n(A∩B) = 48

        n(B∩C) = 60

        n(A∩C) = 52

         n(A∪B∪C) = 300

so we know the relation as:

  n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)

∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C)  - n(A∪B∪C)

                    = 150 + 200+ 156 - 48 - 60 - 52 - 300

                   = 46

Hence the number of housewives that had read all three magazine is 46.

8 0
3 years ago
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