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Greeley [361]
2 years ago
14

Angles a and b are vertical angles. If mA = (5x – 24)° and m B = (3x + 24),

Mathematics
1 answer:
Nata [24]2 years ago
4 0

Answer:

The correct answer is x = 24.

Step-by-step explanation:

To solve this problem, we must remember that vertical angles have the same measure.  This lets us set up the following equation:

m<a = m<b

If we substitute their values, we get the following:

5x - 24 = 3x + 24

To solve this equation, we can first subtract 3x from both sides of the equation.

2x - 24 = 24

Next, we can add 24 to both sides of the equation.

2x = 48

Finally, we can divide both sides of the equation by 2.

x = 24

Therefore, the answer is x = 24.

Hope this helps!

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At what rates percent compound interest will Rs2000 amount to Rs 2420 in 2 years. ​
igor_vitrenko [27]

The interest rates required to get a total amount of $2,420 from compound interest on a principal of $2,000 compounded 1 times per year over 2 years is 10% per year.

<h3>What is compound interest?</h3>

The interest on savings that is calculated on both the initial principal and the interest accrued over time is known as compound interest.

The concept of compound interest, also known as "interest on interest," is thought to have first appeared in Italy in the 17th century. It will accelerate the growth of a sum more quickly than simple interest, which is calculated only on the principal sum.

Money is multiplied more quickly through compounding, and the more times it is compounded, the higher the compound interest will be.

Using the formula A = P(1 + r/n)^nt

Solving for rate r as a decimal

r = n[(A/P)^(1/nt) - 1]

r = 1 × [(2,420/2,000)^{1/(1)(2)} - 1]

r = 0.1

Then convert r to R as a percentage

R = r × 100

R = 0.1 × 100

R = 10%/year

Learn more about compound interest

brainly.com/question/12325365

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4 0
10 months ago
The shorter leg of a 30 60 90 triangle is a 4. how long is the hypotenuse?
Karolina [17]
Check the picture below.

so if x = 4, then 2x?  surely you know that.

4 0
3 years ago
The diameter of a large sphere is 4 times the diameter of a small sphere. The surface area of the large sphere is how many times
Sever21 [200]
Surface Area of a Sphere = 4π(d/2)²
Let the smaller sphere's diameter be just a sample of 4 units in diameter and let the large spheres diameter be 4 times that of the smaller sphere.

Small Sphere: 4π(4/2)² = 16π units²
Large Sphere: 4π(16/2)² = 256π units²

256π / 16π = 16 times

The large sphere has a surface area 16 times that of the smaller one.
4 0
3 years ago
Use the figure to find the measure of the numbered angles
ivanzaharov [21]

Answer:

angle 2, 4, 6 are 34 degrees

angle 7, 5, 1, 3 are 146 degrees

180-34= 146

5 0
2 years ago
Evaluate the expression 2b to the third power+ 5 when b=5
Andrej [43]

Answer:

1005

Step-by-step explanation:

10 to the third power + 5 =

1000 + 5 =

1005

Hope that helps!

7 0
3 years ago
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