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frosja888 [35]
3 years ago
11

∠xangle, x and \angle y∠yangle, y are supplementary angles. \angle y∠yangle, y measures 97^\circ97 ∘ 97, degrees. What is the me

asure of \angle x∠xangle, x?
Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0

Answer:

83°

Step-by-step explanation:

Since angle x and angle y are supplementary angles,

x + y = 180°.

Since y = 97°

x = 180° - y = 180° - 97° = 83°

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85.87 J or heat energy is added to a 34.8 g mass of substance the temperature rises from 21.76°C
Andru [333]

Answer:

The required specific heat is 196.94 joule per kg per °C  

Step-by-step explanation:

Given as :

The heat generated = Q = 85.87 J

Mass of substance  (m)= 34.8 gram = 0.0348 kg

Change in temperature = T2 - T1 = 34.29°C - 21.76°C = 12.53°C

Let the specific heat = S

Now we know that

Heat = Mass × specific heat × change in temperature

Or, Q = msΔt

Or, 85.87 = (0.0348 kg ) × S × 12.53°C

Or , 85.87 = 0.4360 × S

Or, S = \frac{85.87}{0.4360}

∴ S = 196.94 joule per kg per °C

Hence the required specific heat is 196.94 joule per kg per °C   Answer

7 0
3 years ago
Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair
lubasha [3.4K]

Answer:

Additional <em>26</em> pendants are to be sold to make profit.

Step-by-step explanation:

Rent of booth at the craft fair = $200

Cost of material for each pendant = $7.80

Let Kelsey makes x number of pendants.

To calculate the total spending, we have to add the rent of booth at the craft fair and cost of material for x number of pendants.

Cost of material for x number of pendants = Cost of material for each pendant multiplied by number of pendants

Cost of material for x number of pendants = $7.80 \times x

So, total cost = $200 +  $7.80 \times x

Now, each pendant is sold at $13.50

So, total money made by selling  x pendants =  $13.50 \times x

For making profit, total money made must be greater than the total cost.

Therefore, the inequality becomes:

\bold{13.50 \times x  > 200+7.80\times x }

Let us solve the inequality now:

13.50x - 7.80x>200\\\Rightarrow 5.7x > 200\\\Rightarrow \bold{x > 35.08}

So, at least 36 pendants are to be sold to make a profit.

Additional 36-10  = <em>26</em> pendants are to be sold to make profit.

5 0
3 years ago
What is 90/70<br> Simplified
allsm [11]

As an improper fraction, the simplified answer would be 9/7 after you divide both top and bottom by 10

------------------------

If you need a mixed number, then 9/7 converts to 1 & 2/7 because

9/7 = 1 remainder 2

If you had 9 cookies and 7 friends, then each friend gets 1 whole cookie, and there will be 2 left over.

3 0
3 years ago
Read 2 more answers
2(3x - 7) + 4(3x + 2) = 6(5x +9) + 3<br><br> x = -21<br> x = -2<br> x = -21/4<br> x = -4
Ray Of Light [21]

Answer:

x = -21/4

Step-by-step explanation:

Decimal form: -5.25

Mixed Number Form: -5 1/4

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2 years ago
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2 years ago
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