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3 years ago

Help Fjfjdjfjdjdjdjdjjfjfjfhfjd

Mathematics

1 answer:

Ratling [72]3 years ago

7 0

Answer:

A. 36°

Step-by-step explanation:

Given:

m<NST = 15x - 4

m<RSN = 6x

m<RST = 122°

Required:

m<RSN

Solution:

First we need to create an equation to determine the value of x.

Thus:

m<NST + m<RSN = 122° => angle addition postulate

15x - 4 + 6x = 122 (substitution)

Add like terms

21x - 4 = 122

21x - 4 + 4 = 122 + 4

21x = 126

21x/21 = 126/21

x = 6

✔️m<RSN = 6x

Plug in the value of x

m<RSN = 6(6) = 36°

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Find the coordinates of the missing endpoint if P is the midpoint of Line Segment NQ.

dimaraw [331]

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So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such: $\frac{x+2}{2}=5$ From here we can solve for the x-coordinate of Q.

Firstly, multiply both sides by 2: $x+2=10$

Next, subtract both sides by 2 and your x-coordinate is $x=8$

With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.

$\frac{y+0}{2}=2\\ y=4$

<u>Putting it together, the missing endpoint is (8,4).</u>

<em>(The process is pretty much the same with the other problems, so I'll go through them real quickly.)</em>

$\frac{x+5}{2}=6\\ x+5=12\\ x=7$

$\frac{y+4}{2}=3\\ y+4=6\\ y=2$

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$\frac{y+9}{2}=5\\ y+9=10\\y=1$

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8 0

3 years ago

weqwewe [10]

Answer:

b. g(x) = ƒ(3x)

Step-by-step explanation:

We can use the graph to find the transformation which has been performed to obtain g.

g(x) is more stretched than x which means the function values are multiplied by some integer to obtain g(x). <u>This eliminates the options a and d.</u>

Now to check which factor is used to transform the function f(x) we can divide the x-coordinates of the points of new and old function.

So,

6/2 = 3

-6/-2 = 3

The function is stretched by a factor of 3.

Hence, the correct answer is:

b. g(x) = ƒ(3x) ..

6 0

3 years ago

A person in a certain family eats 684.6 lb of fruit and vegetables in a year. What is the average consumption in one day ( use 1

sasho [114]

Every day that person consumes <span>1.87561643836 pounds of fruit and vegetables in a day.</span>

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3 years ago

How do you write an equation of a line that passes through (4,3) and has a slope of 2?

lana66690 [7]

Answer:

y = 2x - 5

Step-by-step explanation:

y-intercept form is y = mx + b, where m is the slope and b is the y-intercept. We know the slope is 2, so all that's left is to find the y-intercept. To do this, for every 1 we subtract from x in (4,3), we take away 2 from y because the slope is two. We keep doing this until x is zero. The remaining y-value is the y-intercept.

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3 years ago

Read 2 more answers

A poker hand consisting of 7 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl

77julia77 [94]

Answer:

The probability is 2,010,580/13,378,456

Step-by-step explanation:

Here is a combination problem.

We want to 7 cards from a total of 52.

The number of ways to do this is 52C7 ways.

Also, we know there are 12 face cards in a standard deck of cards.

So we are selecting 3 face cards from this total of 12.

So also the number of cards which are not face cards are 52-12 = 40 cards

Out of all these 40, we shall be selecting exactly 4. The number of ways to do this 40C4

Thus, the required probability will be;

(40C4 * 12C3)/52C7 = (91,390 * 220)/133,784,560

= 20,105,800/133,784,560 = 2,010,580/13,378,456

7 0

3 years ago