The completed statement are:
- Angle UZT is congruent to angle TZY.
- Angle VZW is congruent to angle YZX.
<h3>What is the angle about?</h3>
Part A:
Angle UZT is congruent to angle TZY.
Using the image attached figure, we can see that:
∠UZT = 54°
∠TZY = 54°
Hence one can say that ∠TZY = ∠UZT are both congruent angles.
Part B:
Angle VZW is congruent to angle YZX.
Using the image attached attached, we can see that:
∠VZW = 71°
∠YZX = 71°
Hence, ∠YZX = ∠VZW are both regarded as congruent angles .
Therefore, The completed statement are:
- Angle UZT is congruent to angle TZY.
- Angle VZW is congruent to angle YZX.
Learn more about Angles from
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Answer:
The answer to your question is: Japan
Step-by-step explanation:
Mobile cost in Spain = € 352.5
Mobile cost in Japan = ¥39856
Exchange rate = £1 = €1.41
£1 = ¥188
Cost of mobile in pounds
£ 1 ------------------ € 1.41
x ----------------- €352.5
x = (352.5 x 1) / 1.41
x= £250
£1 ------------------ ¥188
x ----------------- -¥ 39856
x = (39856 x 1) / 188
x = £212
Then, it was cheaper in Japan
Answer: x = 4
Step-by-step explanation: To solve this equation, we could go right to our steps of subtracting 5.4 from both sides, but I would do a slightly different approach.
Since I hate working with decimals, I would get rid of them.
We can do this by multiplying both sides of the equation by 10, and remember to multiply every term by 10 to keep it balanced.
*Multiplying by 10 shifts the decimal point 1 place to the right
So we have 35x + 54 = 194 which looks a lot better.
Now subtract 54 from both sides to get 35x = 140.
Now divide both sides by 35 and x = 4.
Answer:
f(5) = 4375
Step-by-step explanation:
Given f(n) = 5f(n - 1) and f(1) = 7
This allows us to find the next term in the sequence from the previous term
f(2) = 5f(1) = 5 × 7 = 35
f(3) = 5f(2) = 5 × 35 = 175
f(4) = 5f(3) = 5 × 175 = 875
f(5) = 5f(4) = 5 × 875 = 4375
Answer:
Step-by-step explanation:
Given
Required
Determine the probability of selecting two fakes
The probability can be represented as thus: 
Using the following probability formula, we have:
Each probability is calculated by dividing number of fakes by total number of gems:
The minus 1 (-1) represent the numbers of fake and total gems left after the first selection
<em>Hence, the required probability is approximately 0.504</em>
