All categories

2 years ago

What is the value of h? h = 20 h = 35 h = 55 h = 70

Mathematics

2 answers:

Makovka662 [10]2 years ago

8 0

The interior angles next to the 2h angles are congruent and each one measures 70 degrees. Since the interior angle is 70 degrees the exterior angle is 110 degrees.
2h = 110
divide both sides by 2
h = 55

dexar [7]2 years ago

6 0

Answer:

The value of h is 55. Therefore the correct option is 3.

Step-by-step explanation:

In the given triangle the measure of two exterior angles are 2h°.

The interior angle of one of those exterior angles

$\text{Interior angle}=180-\text{Exterior angle}$

$\text{Interior angle}=180-2h$

The sum of two interior angles of a triangle is equal to the opposite exterior angle.

$(180-2h)+40=2h$

$220-2h=2h$

Add 2h on both the sides.

$220=2h+2h$

$220=4h$

Divide both sides by 4.

$\frac{220}{4}=h$

$55=h$

The value of h is 55. Therefore the correct option is 3.

You might be interested in

What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?

Angelina_Jolie [31]

For this case we must find the value of the variable "x" of the following expression:

$2 (3x-1) \geq4x-6$

We apply distributive property to the terms within parentheses: $6x-2 \geq4x-6$

We subtract 4x on both sides:

$6x-4x-2 \geq-6\\2x-2 \geq-6$

We add 2 to both sides:

$2x \geq-6 + 2\\2x \geq-4$

We divide between 2 on both sides:

$x \geq \frac {-4} {2}\\x \geq-2$

Answer:

$x \geq-2$

5 0

2 years ago

Read 2 more answers

The telephone company is planning to introduce two new types of executive communications systems that it hopes to sell to its la

cluponka [151]

Answer:

x = 31 hundred dolars and

y = 91/2 = 45.5 hundred dolars

Step-by-step explanation:

Given

R(x) = (40−8x+5y)*x + (50+9x−7y)*y

C(x) = (40−8x+5y)*10 + (50+9x−7y)*29

We can use the equation

P(x) = R(x) - C(x)

where

P(x) is the profit

R(x) is the revenue

and C(x) is the costs

In order to maximize the telephone company's profit, we apply

P'(x) = R(x)' - C(x)' = 0

⇒ R(x)' = ((40−8x+5y)*x + (50+9x−7y)*y)' = (40x-8x²+14xy+50y-7y²)'

⇒ C(x)' = ((40−8x+5y)*10 + (50+9x−7y)*29)' = (1850+181x-153y)'

⇒ P'(x) = -8x²-7y²-141x+203y+14xy-1850

The first-order partial derivatives of these functions are

Px(x,y) = -16x-141+14y

Py(x,y) = -14y+203+14x

Setting these equal to zero and solving we obtain:

-16x+14y-141 = 0

14x-14y+203=0

we get the solution

x = 31 and y = 91/2 = 45.5

Finally, the company should produce 3100 units of the first system, and 4550 units of the second system.

8 0

2 years ago

A professor, transferred from Toronto to New York, needs to sell his house in Toronto quickly. Someone has offered to buy his ho

I am Lyosha [343]

Answer:

(a) = 40%

(b) = 28%

Standard deviation = $7,216.88

Step-by-step explanation:

This is a normal distribution with a = 210,000 and b =235,000

(a) The probability that he will get at least $225,000 for the house is:

$P(X\geq 225,000) =1 -\frac{225,000-a}{b-a} =1-\frac{225,000-210,000}{235,000-210,000} \\P(X\geq 225,000) =0.4= 40\%$

(b)The probability he will get less than $217,000 is:

$P(X\leq 217,000) =\frac{217,000-a}{b-a} =\frac{217,000-210,000}{235,000-210,000} \\P(X\leq 217,000) =0.28= 28\%$

(c) The expected value (E) and the standard deviation (S) are:

$E=\frac{a+b}{2}=\frac{210,000+235,000}{2}\\ E=\$222,500\\S=\frac{b-a}{\sqrt{12}}=\frac{235,000-210,000}{\sqrt{12}}\\S=\$7,216.88$

4 0

2 years ago

A sample of bacteria is growing at a rate of 8% per hour compound continuously. How many hours will it take for the sample to do

Anettt [7]

Answer:

The sample would double in 9 hours

Step-by-step explanation

The number of hours it will take for the sample to double can be found using the 72 rule.

The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:

number of hours =72/8=9 hours

The number of hours it would take the sample to double is 9 hours as computed above.

6 0

2 years ago

Rhian sat a Maths test and an English test.

stiks02 [169]

She scored better with math

7 0

2 years ago

Read 2 more answers