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Gennadij [26K]
3 years ago
5

The measure of an exterior angle of a triangle is 3x-5 degrees. The measure of the corresponding interior angle is 5x+17 degrees

. What is the measure of the exterior angle?
Mathematics
1 answer:
adelina 88 [10]3 years ago
8 0
Things to remember the sum of the measures of the interior and exterior angles at each vertex is 180 (supplementary angles) add and equal to 180 3x-5+5x+17= 180 8x+12=180 8x= 168 x=21 substitute in the algebraic expression for exterior angle 3(21) -5= 63-5=58 58 degrees is the exterior angle hope this helps
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Eli is following this recipe to bake bread rolls.
notsponge [240]

Answer:

500 g flour = 600 g

6*1.2 g salt = 7.2 g

12*1.2 g yeast = 14.4 g

30 mL oil = 36 mL

360 mL water = 432 mL

Step-by-step explanation:

10 bread rolls requires 500g of flour.

Eli uses 600g of flour which is 1.2 times the amount needed for 10 bread rolls.

This means that 1.2 * 10 bread rolls are made which is 12 bread rolls.

Multiply the remaining ingredients by 1.2:

500 g flour = 600 g

6*1.2 g salt = 7.2 g

12*1.2 g yeast = 14.4 g

30 mL oil = 36 mL

360 mL water = 432 mL

3 0
3 years ago
How do you write four and 13 twentyeths as a decimal
deff fn [24]
4.65
13 ÷ 20 is 0.65, just add the 4
7 0
3 years ago
Read 2 more answers
1. How much heat is absorbed by a 50g iron skillet when its temperature rises from 10oC to 124oC? Joules
hoa [83]
<span>1. How much heat is absorbed by a 50g iron skillet when its temperature rises from 10oC to 124oC? Joules

Formula: Heat = mass * specific heat * ΔT

Data:
mass = 50 g = 0.050 kg
specific heat of iron = 450 J/ kg °C
ΔT = 124°C - 10°C ¿ 114 °C

=> heat = 0.050kg * 450 J / kg°C * 114°C ≈ 2.6 J

2. If a refrigerator is a heat pump that follows the first law of thermodynamics, how much heat was removed from food inside of the refrigerator if it released 492J of energy to the room? Joules

The firs law of thermodynamics is conservation of energy => energy removed from inside of the refrigerator = energy released to the room

=> Answer = 492 J

3. How much heat is needed to raise the temperature of 45g of water by 63oC? Joules

Formula: heat = mass * specific heat * ΔT

specific heat of water = 4186 J / Kg °C

heat = 0.045 kg * 4186 J/kg °C * 63°C = 11,867.31 J
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7 0
3 years ago
In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 6%. H
Alex

Answer:

169,000 people

Step-by-step explanation:

increase from 2010-2015:

168000/100 = 1680 = 1%

1680 x 7 = 11,760 people

population at 2015 = 168000+11760 = 179,760

decrease from 2015-2020:

179760/100 = 1797.6 = 1%

1797.6 x 6 = 10,785.6 people

population at 2020 = 179760-10787.6 = 168,974.4 people

rounded to the nearest 100 = 169,000 people

3 0
2 years ago
100% of 50 is 50 true of false?<br><br> THIS IS A TEST IF WRONG WILL GET BANNED!<br> ty
trasher [3.6K]

Answer:

True

Step-by-step explanation:

5 0
3 years ago
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