Which statements are true regarding the diagram? Check all that apply.


1. ΔXYZ ≅ ΔLMN
2. ∠Y ≅ ∠M
3. ∠X ≅ ∠L
4. ∠Z ≅ ∠L
5. YZ ≅ ML
6. XZ ≅ LN

Answer:

Step-by-step explanation:

First, find the slope using the two given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}=\frac{17-8}{19-10}=\frac{9}{9}=1[/tex]

We can enter [tex]m[/tex] into our slope-intercept form now.

[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]

Now, plug in one of the given points to solve for b.

[tex]8=10+b\\b=-2[/tex]

So our final form is:

[tex]y=x-2[/tex]

Hope this helps!

The equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

The general equation or the slope - intercept form of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a line such that points (10, 8) and (19, 17) lie on this line.

The given coordinates are (10, 8) and (19, 17).

First, we will find the slope of the line as follows -

m = (17 - 8)/(19 - 10)

m = 9/9

m = 1

So, the equation of the line will be -

y = x + c

Now, we will find the y - intercept. As the line pass through the point

(10, 8), we can write -

8 = 10 + c

c = 8 - 10

c = -2

So, the equation of the line will be y = x - 2.

Therefore, the equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.

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edge 2020

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

i did it

Answer:

I don't really understand the question? could you explain please :)

Step-by-step explanation:

Answer:

Rs 750 .

Step-by-step explanation:

We need to find 16 ⅔ % of Rs 45,00 .

So , we can write 16 ⅔ % as 50/3 %.

= [tex]\dfrac{50}{\cancel3}\times Rs ,\cancel{ 4500 }^{1500}\times\dfrac{1}{100}[/tex]

=[tex]\red{ Rs 750 }[/tex]

Answer:

34.13

Step-by-step explanation:

1) Divide 128 by 3.75 which will give you 34.13

Answer: 34.13

Hope this Helps!

Answer:

(-12x^9+3x^7+24x^6)÷6=-2×^10+1/2x^8+4x^7

Answer:

1/4

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

so first we will find the interior angle:  

1 angle :  31 (given )

2 angle :31 ( the base angles of isoscles triangle are equal)

3 angle : 31 + 31 + x = 180                     ( angle sum property of triangle)

              x = 180 - 62 = 118

now the exterior angles :

1 angle : 180 - 31 = 149 ( exterior angle and the angle adjacent usually forms  a line (= 180) )

2 angle : 149 ( same reason as the first)

3 angle : 180 - 118 = 62 (  same reason as the first)

( i dont know if there is any other way, but this is one)

Answer:

g = 1/2

Step-by-step explanation:

Here, we want to calculate the value of g from the given equation

9 + 3.5g = 11-0.5g

11-9 = 0.5g + 3.5g

2 = 4g

g = 2/4

g = 1/2

Answer:

1/2

Step-by-step explanation:

Answer:

heyyyyyyyyyyyyyyy

Step-by-step explanation:

Answer:

sheeshhhhhhhhhhhhh    

;)

Step-by-step explanation:

daddy chill

Answer: 4/3 : 1/2 that is the first answer the second one is 2 2/3

Step-by-step explanation: there ya go happy cheating! :)

Answer:

The answer is 4/3 : 1/2

Answer:

a=-2 and b=10/3

Step-by-step explanation:

Given that [tex]2i-2+i-\frac{2i}{3}+i=a+bi[/tex].

[tex]\Rightarrow -2+2i+i-\frac{2i}{3}+i=a+bi \\\\\Rightarrow -2+(2+1-2/3+1)i=a+bi \\\\\Rightarrow -2+\frac{10}{3}i=a+bi[/tex]

On comparing the real and imaginary parts, we have

a=-2 and b=10/3.

Answer:

6.00+0.20+0.05

Step-by-step explanation:

Answer:

6.25 in expanded notation should be written as: (6 x 1) + (2/10) + (5/100).

Step-by-step explanation:

Hope I can really help:).

Answer: 8° per day.

Step-by-step explanation:

Based on the information above, since we are informed that in three days, the temperature dropped by 24 degrees, the number of degrees per day that the temperature dropped will be go by dividing 24° by 3 days. This will be:

= 24° / 3 days

= 8° per day

Answer:

If you're heading into New York City, LaGuardia is the closest. It's just 8.6 miles from LaGuardia to Midtown Manhattan, compared to 14.7 miles from JFK and 16.6 miles from Newark.

Step-by-step explanation:

To assess if flying with United Airlines to LGA is better in terms of arriving on time, we would have to examine the on-time performance data for United Airlines flights at both airports.

United Airlines is a significant American airline that flies domestically as well as internationally. The airline provides a wide range of services, such as passenger transportation, cargo delivery, and vacation packages.

The US Department of Transportation tracks and distributes on-time performance information for airlines and airports on its website. We can assess whether airport has a higher on-time performance record for this carrier by examining statistics for United Airlines trips to LGA.

LGA are both important airports that serve the greater New York City area, and both can face delays and congestion. Arrive at the airport well in advance of the scheduled departure time and check with your airline for any changes.

Therefore, to assess if flying with United Airlines to LGA is better in terms of arriving on time, we would have to examine the on-time performance data for United Airlines flights at both airports.

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Answer:

1. slope -9

y-int (0, 3)

2. slope 5

y-int (0, -7)

we don't have the tables

Answer:

Find the biggest # that can divide all 3 #'s, and that's your answer.

Step-by-step explanation:

24 is divisible by:

1, 2, 3, 4, 6, 8, 12, 24

36 is divisible by:

1, 2, 3, 4, 6,  9, 12, 18, 36

48 is divisible by:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The biggest # that can divide all 3 #'s is 12, so the greatest amount of baskets that can be made is 12 baskets.

Answer:

a(n)= -4n-6

Step-by-step explanation:

If you plug the number of the sequence in as n in the equation (1=-10, 2=-14, etc.) and then plug the actual number (-10, -14, etc.) in as the a(n), for each of the equations, the only one that works with all four is the first one.

Answer:

14

Step-by-step explanation:

Given the result :

______________Doctorate ___ No doctorate

30 or younger ___ 10 ___________ 25

Older than 30 ___ 14 ___________ 22

Number of educators who have a doctorate and older than 30 = 14 ( from the table)

Older than 30 n Doctorate = 14

Answer:

1

Step-by-step explanation:

[tex] \huge {625}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div 25 \\ \\ = \huge {( {5}^{4})}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ = \huge{5}^{ \cancel4 \times \frac{3}{ \cancel8 \: \: \red{ \bold 2}} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} + \frac{1}{2}} \div {5}^{2} \\ \\ \huge= {5}^{ \frac{4}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ 2 } \div {5}^{2} \\ \\ \huge= {5}^{ 2 - 2 } \\ \\ \huge= {5}^{ 0 } \\ \\ \huge= 1[/tex]

Answer:

f(2) = -3

Step-by-step explanation:

This is the answer because:

1) The question is basically asking what the y-cordinate is.

2) In order to find the y-cordinate, look at the graph and find where 2 is on the x-axis. Then, see wheree the y-coordinate is on the same line a the x-cordinate which is 2.

3) When you line up the cordinates, you can see that where x is 2, y is -3.

Therefore, the answer is -3.

Hope this helps! :D

Answer:

Y =1 is a good answer for this question.

Answer:

Step-by-step explanation:

The percentage increase from x to 5x is given by the equation P = 400 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage increase be P

Now , the equation will be

Let the original value be = A

The value of A = x

Now , the increased value = B

The value of B = 5x

And , the percentage increase is given by the equation ,

P = ( ( Increased value - Original value ) / Original value ) x 100 %

Substituting the values in the equation , we get

The percentage increase P = ( ( 5x - x ) / x ) × 100 %

The percentage increase P = ( 4x/x ) × 100 %

The percentage increase P = 4 x 100 %

The percentage increase P = 400 %

Therefore , the value of P is 400 %

Hence , The percentage increase from x to 5x is 400 %

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Answer:

the answer is

Step-by-step explanation:

1.553 yards

1.42 m to customary units is 1.553 yards.

On the other hand, "customary" US units have relationships that are not powers of 10;

 1 ft = 12 in

 1 yd = 3 ft

 1 rod = 5.5 yd

 1 chain = 4 rods

 1 furlong = 10 chains = 220 yards

 1 mile = 8 furlongs = 1760 yards = 5280 feet

The point of this exercise is to give you an appreciation of the fact that metric length units are related by powers of 10 means units conversion generally consists only of adjustment of the decimal point, or the power of 10 (for numbers in scientific notation).

For example;

1 cm = 10 mm

 1 dm = 10 cm

 1 m = 10 dm = 100 cm = 1000 mm

 1 km = 1000 m

The prefixes m, c, d, k are standard SI prefixes applicable to other SI units as well.

Therefore, the conversion from one unit of US customary measure to another involves conversion factors that are not always easily remembered.

Hence,  1.42 m to customary units is 1.553 yards.

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