All categories

3 years ago

I) Find ∠RPU.ii) Find the value of y

Mathematics

1 answer:

rewona [7]3 years ago

6 0

Answer:

<RPU = 20 degrees

<y= 140 degrees

Step-by-step explanation:

<STU = 60 degrees ( In a Cyclic quadrilateral opposite <'s sum to 180)

Therefore <RPU = 180-60-100

= 20 degrees (Angle sum in a triangle = 180)

Triangle QPV is isosceles and base angles in an isosceles are equal so <QVP = 20 degrees.

Thus <y = 180-20-20

= 140 degrees.

You might be interested in

Suppose for some value of x the solution to the equation 2.5(y−x)=0 is y = 6. What must be true about x?

Varvara68 [4.7K]

Step-by-step explanation:

In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)

2.5(6-x) = 0

Open the bracket,

(2.5×6)-2.5x= 0

Collect like terms.

2.5x= 2.5×6

Divide both sides by the coefficient of x (2.5)

x = 6

So,

x= 6 is true.

Substituting 6 for x in the equation,

2.5(6-6)= 0

2.5•0 = 0

0= 0

Which is also true.

7 0

2 years ago

Is the sequence below arithmetic or geometric? Explain

Korvikt [17]

Answer: its geometric

Step-by-step explanation: The numbers are separated and are counting up Individually

8 0

2 years ago

The answer and the work that was needed to solve it .

cupoosta [38]

First, you add up all the prices. 1.79 + 2.99 + 4.37 + 0.33 = 9.48. Then, you do 10.00 - 9.48 = 0.52 and that's your answer.

7 0

3 years ago

Read 2 more answers

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

Family bought 12 oranges from the market. However, one-fourth of these oranges were rotten. How many oranges were not rotten?

sashaice [31]

Answer:

1/4 of them were rotten

rotten ones = 1/4 × 12 = 3

ones that weren't rotten = 12 - 3 = 9

4 0

2 years ago

I) Find ∠RPU.ii) Find the value of y​

I) Find ∠RPU.ii) Find the value of y