PLEASE HLEP WITH QUESTION ONE PLS
1. Given the diagram to the right and information below, determine
which lines, if any, are parallel. State the converse that justifies
your answer.
199
10
0
10
b
c
Glven
Parallel Lines
Converse
a. 213a 217
b. 24 a 29
c. m219+ m222 180°
d. 8210
e. 210

Answer/Step-by-sep explanation:

1. Given:

∆NMK ≅ ∆TRP

[tex] \overline{NM} = 20 [/tex]

[tex] \overline{MK} = 15 [/tex]

[tex] \overline{KN} = 25 [/tex]

[tex] \overline{TR} = 3x - 1 [/tex]

a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP

b. The side that is congruent to [tex] \overline{TR} [/tex] is [tex] \overline{NM} [/tex]. Thus:

[tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex]

c. Since [tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex], therefore:

[tex] \overline{TR} = \overline{NM} [/tex]

[tex] 3x - 1 = 20 [/tex] (substitution)

Add 1 to both sides

[tex] 3x = 20 + 1 [/tex]

[tex] 3x = 21 [/tex]

Divide both sides by 3

[tex] x = \frac{21}{3} [/tex]

[tex] x = 7 [/tex]

2. a. Slope of LK = [tex] \frac{rise}{run} = \frac{4}{3} [/tex]

Slope of LM = [tex] \frac{rise}{run} = -\frac{3}{5} [/tex]

b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):

[tex] Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2} [/tex]

[tex] Lk = \sqrt{(3)^2 + (4)^2} [/tex]

[tex] Lk = \sqrt{9 + 16} [/tex]

[tex] Lk = \sqrt{25} [/tex]

[tex] Lk = 5 [/tex]

✍️Length of LM is the distance between L(-7, 4) and (-2, 1):

[tex] LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2} [/tex]

[tex] LM = \sqrt{(5)^2 + (-3)^2} [/tex]

[tex] LM = \sqrt{25 + 9} [/tex]

[tex] LM = \sqrt{34} [/tex]

[tex] LM = 5.8 [/tex] (nearest tenth)

∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.

Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.

Answer:

The sample will dissolve in less than one minute

Step-by-step explanation:

Answer:

21 less

Step-by-step explanation:

49:? = 7:4

49 / 7 = 7

7 x 4 = 28

49- 28 = 21

Answer:

6/10, because 4/5-2x(1/10)=4/5-2/10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

if you drew a line on top of any part of the parabola, you will only touch the line once.

(when drawing a line, they are always vertical, not horizontal)

Answer:

Answer:

No, I haven't taken the isat.

Step-by-step explanation:

Answer:

No, what is it for?

Step-by-step explanation:

Answer:

Step-by-step explanation:

What are the two closest square numbers to 73?

64 and 81

[tex]\sqrt{64} \leq \sqrt{73} \leq \sqrt{81}\\8\leq \sqrt{73} \leq 9\\8*9 = 72[/tex]

Answer:

72

Step-by-step explanation:

Since $73$ is between $64=8^{2}$ and $81=9^{2}$, we know that $\sqrt{73}$ is between $8$ and $9.$ Our answer is $8\cdot9=\boxed{72}.$

How many colors are there in total?

Answer:

C. $4,300

Step-by-step explanation:

3 years = 36 months so,

50(36) + 2500 = $4300

Answer:

To distribute means to divide something or give a share or part of something. For example, for the problem 4(6+2), you would use the distributive property and distribute the 4. Making the end result, 24+8.

Answer:

The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods

Step-by-step explanation:

Answer:

a times 12=300

Step-by-step explanation:

donated each month a should be 25. $25 times 12 equals 300

Answer:

C.  

a × 12 = 300

Step-by-step explanation:

Answer:

[tex]13x^{2}[/tex]-20x+8

Step-by-step explanation:

Step 1: rearrange the equation

16x^2 - 3x^2 - 7x - 13x +8

Step 2: solve the equation

16x^2 - 3x^2 = 13x^2

-7x - 13x = -20x

(the +8 will stay the same)

so when we put it all together it gives us

13x^2 - 20x + 8

Answer:

2 periods

Step-by-step explanation:

Simple interest is compounded one time, usually annually, although it could be less time or longer. Thus I answer 2 periods. If your choices include 2 years, that is most likely the answer.

To find the answer,

$10,000 x .03 = $300.

$600 / $300 = 2 periods.

Hope this helps.

Good luck

Answer:

J(-5,3) K(-1,-2) L(3,4)

Step-by-step explanation:

Reflections over the y axis make the x its opposite. 5 would change to -5, 1 would change to -1, and -3 would change to 3.

When a shape is reflected, it must be reflected across a line.

See attachment for the graph of the image of JKL

The coordinates are given as:

[tex]\mathbf{J = (5,3)}[/tex]

[tex]\mathbf{K = (1,-2)}[/tex]

[tex]\mathbf{L = (-3,4)}[/tex]

The rule of reflection across the y-axis is:

[tex]\mathbf{(x,y) \to (-x,y)}[/tex]

So, the image of the reflection is:

[tex]\mathbf{J'= (-5,3)}[/tex]

[tex]\mathbf{K'= (-1,-2)}[/tex]

[tex]\mathbf{L'= (3,4)}[/tex]

See attachment for the graph of the image of jKL

Read more about reflections at:

https://brainly.com/question/15487308

Answer:

330

Step-by-step explanation:

Answer:

330 m/s

Step-by-step explanation:

Divide 1287 m/s by 3.9 to get the speed of sound in air as given that the speed of sound in hydrogen is 3.9 times it's speed in hydrogen.

Hope this makes sense.

Good luck!!

Answer: Four eighth notes

Sixteenth Notes

Step-by-step explanation: Two quarter notes equal one half note in duration and four quarter notes equal one whole note. Two eighth notes equal one quater note in duration. Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.

Answer:

Four eighth notes

Four eighth notes equal one half note in duration and eight eighth notes equal one whole note. Two sixteenth notes equal one eighth note in duration and four sixteenth notes equal one quarter note in duration, etc.

Answer:

B

Step-by-step explanation:

3 ( w + 9 )

3 × w + 3 × 9

3w + 27

Hope this helps

plz mark as brainliest!!!!!!!

Answer:

8 is the answer.

8 numbers between 8 and 65 are a multiple of 7

Answer:

85%

Step-by-step explanation:

I learned about it and did the problem so to check my answer i searched it up on Google

Step-by-step explanation:

Percent Change Formula

(New value- Original Value)/ original value multiplied by 100.

So (40.8-48)/48

This gives us a decimal of -.15.

Multiply by 100

And we get 15 percent off

Answer: approximately 105.7°C

Step-by-step explanation:

Seawater of 35 psu has a specific heat of 0.932 compared with 1.000 for pure water. Pure water freezes at 0 °C and boils at 100 °C (212 °F) under normal pressure conditions. When salt is added, the freezing point is lowered and the boiling point is raised. Therefore, we can tell that salt increases the boiling temperature, but not by very much. If you add 3 grams of salt to 100 grams (or mL) of water, instead of boiling at 100° C, it'll boil at 100.5° C.

And I'm not sure about the ocean water because the expected range is too wide and various, so maybe I guess the boiling point of salty ocean water would be about 105.7°C?

Answer:

small number is 14

Larger number is 31

Step-by-step explanation:

Let x = one number

Let y = the second number

x + y = 45

x = y - 17

Put y - 17 into the top equation for x

y - 17 + y = 45

2y - 17 = 45          Add 17 to both sides

2y = 45 + 17

2y = 62                Divide by 2

y = 62/2

y = 31

PART A:

Finding the slope of the function f(x)

Choose any two pairs of coordinate from the table; (-1, -15) and (0, -10)

Let (-1, -15) be (x₁, y₁) and (0, -10) be (x₂, y₂)

Slope =

Slope of f(x) = 5

The function g(x) is given in the straight line equation form

Where,  is the slope and  is the y-intercept

Slope of g(x) = 2

-----------------------------------------------------------------------------------------------------------

g(x) = 2x + 8

Where, the slope (m) = 2 and the y-intercept (c) = 8

The y-intercept of g(x)  is 8

for f(x), we can read the y-intercept when x = 0.

From the table, when x = 0, y = -10

The y-intercept of f(x) is -10

Function g(x) has higher y-intercept

Answer:

-22.28

Step-by-step explanation:

Let the number to be subtracted from 50/29 to get 24 to be x

So this can be written as : 50/29 - x =24 ----collect like terms as

50/29 - 24 = x

1.72 -24 = x

-22.28 = x

So to check the answer;

50/29 -{x} = 24

50/29 - {- 22.28} = 24

1.72+ 22.28 = 24 ---correct.

Answer:

Slope: -1/4, y-intercept: -2.

Step-by-step explanation:

The line intersects the y-axis at -2. This means that the y-intercept is -2. The slope is -1/4 because since the slope is rise over run, you go up one and then to the left 4 from the y-intercept. When you do this you see that from both A to B, you will end up on the same line.

Hope this helps!

Answer:

C

Step-by-step explanation:

slope = -1/4

y-intercept = -2