One angle of a triangle is three times as large as another. the measure of the third angle is 65 degrees more than that of the smallest angle. find the measure of each angle.

Answer:

Number is 61.6

Step-by-step explanation:

Given  : 92.4 is 150%.

To find : what number.

Solution : We have given 92.4 is 150%.

Let the number  = x

According to question :

150% of x = 92.4

[tex]\frac{150}{100} *x[/tex] = 92.4

On multiplying both sides by 100

150 x = 92.4 * 100.

150 x = 9240

On dividing both sides by 150 .

x = [tex]\frac{9240}{150}[/tex].

x = 61. 6

Therefore, Number is 61.6

The formula for surface area of the sphere is -

Surface area of sphere = 4πr²

Now, the surface area of sphere is given to us as = 256π cm²

Thus,

4πr² = 256π cm²

While equating the equations, we will get

4r² = 256 cm²

r² = 64 cm²

64 is the square of 8, thus the radius of sphere will be = 8 cm.

The correct answer will be = 8 cm radius

Answer:

2nd Option is correct that is ∠T and ∠P.

Step-by-step explanation:

We are given that ΔGET ≅ ΔMAP

We need to find Congruent part from the given options.

Since, we are given the figure of the congruent triangles with marking not any instruction with which vertex is congruent to which vertex.

So, The Given Name of the Congruent triangle.

We deduce that

G ↔ M

E ↔ A

T ↔ P

Using this we get following congruent parts,

GE ≅ MA , GT ≅ MP and ET ≅ AP

∠G ≅ ∠M ,  ∠E ≅ ∠A and ∠T ≅ ∠P.

Therefore, 2nd Option is correct that is ∠T and ∠P.

Answer:

∠T and ∠P

Step-by-step explanation:

The correct answer is:

False.

Explanation:

Using the five number summary, we can estimate the standard deviation.

The quartiles are about 0.67 standard deviations from the mean; this could be used to estimate the standard deviation.

However, we cannot accurately calculate the standard deviation using only the fie number summary.

The sum of the expressions 6x^7 and 8x^7 is 14x^7. This follows the simple rule of addition with similar terms, where the coefficients are added together while the variable remains the same.

The sum of 6x7 and 8x7 follows the usual rules of addition, it treats similar terms in a similar way to ordinary numbers. To combine these expressions, you simply add or subtract the coefficients (the number parts), while keeping the variables (the letter parts) the same. In this case, the variable is x7. Thus, adding the coefficients 6 and 8 gives you 14, and you keep the x7 the same. The sum is therefore 14x7.

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Final answer:

The probability that both partners in a marriage are Rh-negative in a predominantly Rh-positive population is 0.25% or 1 in 400, critical for understanding the risk of hemolytic disease of the newborn in subsequent pregnancies.

Explanation:

The probability that both people in a marriage are Rh-negative in a population where 95% of the people are Rh-positive is calculated using the complement. Assuming that 5% of the population is Rh-negative, we would calculate the probability that both parents are Rh-negative by multiplying the individual probabilities:

P(both Rh-negative) = P(one Rh-negative) × P(other Rh-negative) = 0.05 × 0.05 = 0.0025

Therefore, the probability that both people are Rh-negative, and thus all of their children would also be Rh-negative, is 0.25% or 1 in 400.

Rh factor and blood type compatibility are crucial in reproduction and transfusion medicine. Understanding these concepts can help prevent complications such as hemolytic disease of the newborn, which occurs during second or subsequent pregnancies due to sensitization of the Rh-negative mother's immune system to Rh-positive fetal cells from a previous pregnancy.

Answer:

41 is the answer for this question. Hope this helps.

Step-by-step explanation:

(apex)

Answer:

The volume of the ball is [tex]9,198.11\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a sphere (yoga ball) is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

In this problem we have

[tex]r=26/2=13\ in[/tex] -----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}(3.14)(13^{3})=9,198.11\ in^{3}[/tex]

Answer:

72.25

Step-by-step explanation:

I just took the test and got it correct

Answer:

c

Step-by-step explanation:

Aslan and Lucy got the correct answer of x/50, while Jack made a mistake in his calculation.

To find out who got the correct answer, we need to evaluate the division calculations of each student. Let's assume the large number is 'x'.

Aslan divided the number by 50, so his answer is x/50.

Lucy divided the number by 5 and then divided the answer by 10, so her answer is (x/5)/10 = x/50.

Jack divided the number by 10 and then divided the answer by 40, so his answer is (x/10)/40 = x/400.

Therefore, both Aslan and Lucy got the correct answer of x/50, while Jack made a mistake in his calculation.

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Using the sine function of trigonometry, the vertical distance between the kite and the point where the boy is holding the string is calculated to be approximately 74.31 feet when the string's angle of elevation is 48 degrees.

To find the vertical distance between the kite and the point at which the boy is holding the string, we can use trigonometric functions, specifically the sine function which is defined as the ratio of the opposite side to the hypotenuse in a right triangle. Since we know the length of the string, which acts as the hypotenuse of the triangle, and the angle of elevation, we can set up our equation as follows:s

sin(48°) = opposite/hypotenuse

sin(48°) = vertical distance/100 feet

W then multiply both sides by the hypotenuse (100 feet) to solve for the vertical distance:

vertical distance = 100 feet \sin(48°)

To get the numerical value, we use a calculator to find:

vertical distance ≈ 100 feet * 0.7431

vertical distance ≈ 74.31 feet

Therefore, the vertical distance between the kite and the point where the boy is holding the string is approximately 74.31 feet.