MATHEMATICS HIGH SCHOOL

Find the value of x. m<2= x + 52

Answers

Answer 1

Answer:

Answer: x = - 10

Step-by-step explanation:

a) Linear Pair: 138 + ∠a = 180° --> ∠a = 42°

b) Triangle Sum Theorem: ∠a + 2∠b = 180° --> ∠b = 69°

c) Vertical Angles Theorem: ∠b = ∠c --> ∠c = 69°

d) Congruent sides implies congruent angles: ∠c = ∠d --> ∠d = 69°

∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°

69° + 69° + ∠2 = 180°

∠2 = 42

x) m∠2 = 42

x + 52 = 42

x = -10

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0.04, 0.4, 0.044, 0.404, 4.404 in ascending order

Answers

.04, .044, .4, .404, 4.404

How much will Ashley’s plan cost for the same number of texts as when Jumel’s costs $75? Show your work and write your answer in a sentence.Please help me out

Answers

Answer: In order to begin figuring that out, we need to know how both of their plans work.

Katie ordered candles that cost $3 each from a website. She was charged a flat shipping fee of $6 and no sales tax. If she spent a total of $54, which equation can be used to find c, the number of candles she ordered?A. 3c = 54

B. 6c = 54

C. 3c + 6 = 54

D. 3c – 6 = 54

Answers

Answer:

Equation can be used to find the number of candles (c) Katie ordered is 54 = 3c + 6 .

Option (C) is correct .

Step-by-step explanation:

As given

Katie ordered candles that cost $3 each from a website.

She was charged a flat shipping fee of $6 and no sales tax.

If she spent a total of $54,

c represented the number of candles .

Equation becomes

Total cost = Cost per candle + Flat shipping fee

54 = 3 × c + 6

54 = 3c + 6

Equation can be used to find the number of candles (c) Katie ordered is 54 = 3c + 6 .

Option (C) is correct .

Answer:

C:3c + 6 = 54

Step-by-step explanation:

took the test

;)

In Crosby's model collection, 5/16 of the models are trains and 7/16 of the models are cars. What part of Crosby's model collection is trains and cars?

Answers

Answer:

3/4.

Step-by-step explanation:

5/16 + 7/16

= (5+7)/16

= 12/16

= 3/4.

Which of the following options is an equivalent function to f(x) = 2(5)^2x? choices: f(x) = 50^x f(x) = 100^x f(x) = 2(25)^x f(x) = 4(25)^x

Answers

For this case we have the following function:

By power properties we can rewrite the function as follows:

We have then:

Then rewriting the function we have:

Answer:

an equivalent function to $f (x) = 2 (5) ^ {2x}$ is:

$f (x) = 2 (25) ^ x$

An airplane is flying in still air with an airspeed of 475 miles per hour. The plane is climbing at an angle of 16°. Find the rate at which the plane is gaining altitude. (Round your answer to four decimal places.)

Answers

Rate of gaining altitude is ratio of height gained to time spent. The rate at which the plane is gaining altitude is 130.9 miles per hour.

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

$Rate = (y_2 - y_1)/(x_2 - x_1)$

where we have

$\rm when \: x=x_1, y = y_1\nwhen\: x = x_2, y= y_2$

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

For the given case, the rate at which the plane is gaining altitude is the ratio of the height it gains per unit time(here per hour).

Referring to the diagram attached below, as he will walk 475 miles per hour(which is constant, this can be taken as hypotenuse's length.

The length BC is the height the plane gain each hour as he covers 475 miles in slantdirection.

Using the sin ratio, and measuring from the angle A, we get:

$\sin(A)= (|BC|)/(|AC|)\n\n\sin(16^\circ) = (|BC|)/(475)\n\n|BC| \approx 0.2756 * 475 \approx 130.9 \: \rm miles\n\n$

Thus, the height gained by plane per hour is 130.9 miles.

Rate of height gaining = (new height - old height)/(1 hour)

Rate of height gaining = (old height + 130.9 miles - old height)/1 hour

Rate of height gaining = 130.9 miles per hour.

This is the rate at which the plane is gaining altitude(since it is ratio of how much height it gains to how much time is spent gaining that height)

Hence, The rate at which the plane is gaining altitude is 131.1 miles per hour.

Learn more about trigonometric ratios here:

brainly.com/question/22599614

Answer:

130.9 miles per hour.

Step-by-step explanation:

sine 16 = x / 475 where x = rate of gaining altitude.

x = 475 sin 16

= 130.9 miles per hour.

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