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3 years ago

The measures of the angles of a triangle are shown below. solve for x

Mathematics

1 answer:

wel3 years ago

5 0

Step-by-step explanation:

60°+(7x-12)°+90° = 180°. (angle sum property of triangle)

(7x-12) + 150° = 180°

(7x-12) = 180° - 150°

7x-12 = 30°

7x = 30 + 12

7x = 42°

x = 42°/7

x = 6°

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According to recent UN figures, the annual gun homicide rate is 62.4 per one million residents in the US and 1.3 per one million

ss7ja [257]

Answer:

$P_D=61.1*10^{-4}$

$R_r=480$

Step-by-step explanation:

From the question we are told that

Homicide rate in US $R_U=62.4\ per\ one\ million$

Homicide rate in Britain $R_B=1.3\ per\ one\ million$

Generally the equation for probability of homicide is mathematically given as

$P=\frac{R}{10^6}$

Generally the equation for probability of homicide in US is mathematically given as

$P_U=\frac{62.4}{10^6}$

$P_U=62.4*10^{-4}$

Generally the equation for probability of homicide in Britain is mathematically given as

$P_B=\frac{1.3}{10^6}$

$P_B=1.3*10^{-5}$

a)Generally the difference b/w the probabilities P_D is mathematically given as

$P_D=P_U-P_B$

$P_D=62.4*10^{-4}-1.3*10^{-5}$

$P_D=61.1*10^{-4}$

Therefore US annual homicide is $P_D=61.1*10^{-4}$ greater than Britain's

b)Generally the Relative risk is R_r is mathematically given as

$R_r=\frac{P_U}{P_B}$

$R_r=\frac{62.4*10^{-4}}{1.3*10^{-5}}$

$R_r=480$

3 0

3 years ago

Please help me explain as well. AD is 48. I will give brainliest.

otez555 [7]

Answer:

The area of the rectangle is 48

Step-by-step explanation:

We know that AE is 6 and ED is 8, since it forms a triangle, use the Pythagorean theorem to find AD, which is one side of the rectangle.

The Pythagorean theorem says that a^2 + b^2 = c^2.

a is AE, b is ED, and c is AD, so 6^2 + 8^2 = c^2, 36 + 64 = c^2, 100 = c^2, 10 = c, so AD is 10

The area of the triangle is half of AE times ED, so 1/2(6)(8) = 1/2(48) = 24, the area of the triangle is 24.

Since the area of a triangle is 1/2 of the base times the height, we can figure out the height:

A = 1/2bh, 24 = 1/2(10)h, 24 = 5h, 4.8 = h, so the height of the triangle (and rectangle) is 4.8.

The height of the triangle is also the height of the rectangle:

The area of the rectangle is 4.8*10 = 48

8 0

3 years ago

The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2

romanna [79]

Answer:

Perimeter is irrational

Step-by-step explanation:

The attachment is missing but the question is still answerable

Given

$Area = 24200 yd^2$

Required

Determine if the Perimeter is rational or not

First, we need to determine the sides of the square;

$Area = Length * Length$

Substitute $Area = 24200 yd^2$

$24200 = Length * Length$

$24200 = Length^2$

Take Square root of both sides

$\sqrt{24200} = Length$

$Length = 155.563492$

The perimeter of a square is calculated as:

$Perimeter = 4 * Length$

$Perimeter = 4 * 155.563492$

$Perimeter = 622.253968$

Because the value of perimeter can't be gotten by dividing two integers, then perimeter is irrational

4 0

3 years ago

What is 3(6 – m) – 10 =

PIT_PIT [208]

Answer:

it's 8-3m

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

ANSWER QUICK PLEASE

scoundrel [369]

Answer:

23 1/4

Step-by-step explanation:

8 0

3 years ago

The measures of the angles of a triangle are shown below. solve for x ​

The measures of the angles of a triangle are shown below. solve for x