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Nesterboy [21]
2 years ago
6

ZA and B are vertical angles. If m A = (5x + 6) and m B = (6.2 – 25)°, then find the value of x.​

Mathematics
1 answer:
vova2212 [387]2 years ago
4 0

Answer:

The value of x is 25.83.

Step-by-step explanation:

Vertical angles:

If two angles are vertical, they have the same measure.

In this question:

Angle A has measure 5x + 6

Angle B has measure 6.2x - 25

Since they are vertical:

A = B

5x + 6 = 6.2x - 25

1.2x = 31

x = \frac{31}{1.2}

x = 25.83

The value of x is 25.83.

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Find the number by which 4732 should be divided to get perfect square.
ElenaW [278]

Answer:

The required number is 7.

Dividing by this gives the perfect square 676.

Step-by-step explanation:

Finding the prime factors:

2) 4732

2) 2366

7) 1183

13)169    

     13

So 4372

= 2^2 * 7 * 13^2

= 4 *169 * 7

= 676 * 7

Now 676 is a perfect square so the answer is 7.

= 1283 * 4.

Answer is 1283.

8 0
3 years ago
In an arithmetic sequence, if a2= 5 and a10= 19 find a6
OLEGan [10]

Answer:

a₆ = 12

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = 5 and a₁₀ = 19 , then

a₁ + d = 5 → (1)

a₁ + 9d = 19 → (2)

Subtract (1) from (2) term by term to eliminate a₁

8d = 14 ( divide both sides by 8 )

d = 1.75

Substitute d = 1.75 into (1)

a₁ + 1.75 = 5 ( subtract 1.75 from both sides )

a₁ = 3.25

Then

a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12

6 0
2 years ago
The price of one sack of rice is Rs. 1,850.if wages charge Rs. 70 was added, find it price.​
Yuliya22 [10]

Answer:

The total price of the Rice sack is Rs 1920.

Step-by-step explanation:

The price of 1 sack of rice = Rs. 1,850

Wages Charge = Rs. 70

Now, the total price = Price of the Rice + Wages Charge

= Rs. 1,850 + Rs. 70

= Rs. 1920

or,  the total price = Rs. 1920

Hence, the total price of the Rice sack is Rs 1920.

8 0
3 years ago
What is x to the 3 power
Natasha_Volkova [10]

Answer:

x to the third power is x cubed or x^3.

6 0
3 years ago
Read 2 more answers
In this exercise, we show that the orthogonal distance d from the plane p with equation
kodGreya [7K]
Use the cross product to find the orthogonal vector, solve the parametric equation to see at which (t) the point + orthogonal vector intersects the plane, the distance is (t) * norm of vector
3 0
3 years ago
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