5. m∠C = 95°
6. m∠C = 70°
7. The other acute angle in the right triangle = 70°
8. m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 110°
11. m∠B = 70°
12. m∠Z = 70°
<h3>What are Triangles?</h3>
A triangle is a 3-sided polygon with three sides and three angles. The sum of all its interior angles is 180 degrees. Some special triangles are:
- Isosceles triangle: has 2 equal base angles.
- Equilateral triangle: has three equal angles, each measuring 60 degrees.
- Right Triangle: Has one of its angles as 90 degrees, while the other two are acute angles.
5. m∠C = 180 - 50 - 35 [triangle sum theorem]
m∠C = 95°
6. m∠C = 180 - 25 - 85 [triangle sum theorem]
m∠C = 70°
7. The other acute angle in the right triangle = 180 - 90 - 25 [triangle sum theorem]
The other acute angle = 70°
8. m∠C = 180 - 55 - 55 [isosceles triangle]
m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 50 + 60
Measure of the exterior angle at ∠C = 110°
11. m∠B = 115 - 45
m∠B = 70°
12. m∠Z = 180 - 35 - 75
m∠Z = 70°
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Given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A
<h3>What is Ohm's Law?</h3>
Ohm’s law states that the potential difference between two points is directly proportional to the current flowing through the resistance.
It is expressed as;
V = IR
Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.
Given that;
Initially, A circuit has a current I = 1.2A
V = IR
R = V/I
R = V/1.2A ...... let this be equation 1
Next, voltage decreases to one-third of its original amount while the resistance remains constant.
Meaning Voltage = 1/3 of V = V/3
Hence;
V = IR
V/3 = IR
From equation 1 ( R = V/1.2A )
V/3 = I × V/1.2A
V/3 = IV/1.2A
We cross multiply
V1.2A = 3IV
I = V1.2A / 3V
I = 1.2A / 3
I = 0.4A
Therefore, given that the resistance remains constant, if the voltage decreases to one-third of its original amount, the resulting current in the circuit is 0.4A
Learn more about potential difference here: brainly.com/question/2364325
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Suppose
At the same time, we can write
Note that 
(just reverse the sum). Let's pair the first terms of 
and 
, and the second, and the third, and so on:
Now, each grouped term in the sum on the right side adds to 151. There are 52 grouped terms on that same side (because there are 50 numbers in the range of integers 51-100, plus 50 and 101), which menas
But , as we pointed out, so
B.)10 inches
----------------
you need to plug in 10
----------------
thats if you don't know what to do
---------------
the easy way
Answer:
30 cups of flour
Step-by-step explanation:
3 x 8 = 24
3/4 x 8 = 24/4 = 6
24 + 6 = 30
