Triangle Theorem ( sss, sas, asa )

Answer:

C would be your answer

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

On the number line, negative numbers are less than zero. positive numbers are larger than zero.

Given:

The two points on a coordinate plane are C(-5,-1) and D(0,3).

To find:

The distance between C and D.

Solution:

Distance formula:

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

Using the distance formula, the distance between C(-5,-1) and D(0,3) is

[tex]CD=\sqrt{(0-(-5))^2+(3-(-1))^2}[/tex]

[tex]CD=\sqrt{(0+5)^2+(3+1)^2}[/tex]

[tex]CD=\sqrt{(5)^2+(4)^2}[/tex]

[tex]CD=\sqrt{25+16}[/tex]

On further simplification, we get

[tex]CD=\sqrt{41}[/tex]

[tex]CD=6.40312424[/tex]

[tex]CD\approx 6.40[/tex]

Therefore, the distance between C and D is 6.40 units.

Answer:

-50x-45

Step-by-step explanation:

-3(5x+8)-7(5x+3)

-15x-24-35x-21

-50x-45

Answer:

y=3/2x+5

Step-by-step explanation:

Answer:

1/3, 2/6, 3/9, 4/12..are equivalent fractions. Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get.

Step-by-step explanation:

The equivalent fractions of  the given fraction [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex] .

The fractions which have the same value but can  have different numerators or denominators when either multiplying , dividing or converting it into the lowest form is called equivalent fractions

The upper part of a fraction or part of a whole is called numerator and the lower part of a fraction or the whole is called denominator.

Equivalent fraction can be obtained by multiplying  numerator and denominator with the same number .

Example : equivalent fraction of  [tex]\dfrac{5}{8}[/tex] is

[tex]\dfrac{5}{8} = \dfrac{5 \times 1 }{8 \times 1} =\dfrac{5\times2}{8\times2} ........=\dfrac{5}{8}[/tex]

According to the data provided in the problem

[tex]\dfrac{2}{6} = \dfrac{2 \times 1 }{6 \times 1} =\dfrac{2\times2}{6\times2} ........=\dfrac{2}{6}[/tex]

Thus the equivalent fractions of [tex]\dfrac{2}{6}[/tex] are  [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex]

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Answer:

4x+2y

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Answer:

C. 10/17

Step-by-step explanation:

10/17 is less than the correct answer 1.7 so it is C.

Answer:

x = 60

y = 80

Step-by-step explanation:

x° + 120° = 180° (interior angles on the same side of transversal)

x° = 180° - 120°

x° = 60°

x = 60

x° + y° = 140° (alternate angles)

60° + y° = 140°

y° = 140° - 60°

y° = 80°

y = 80

The measure of angle ∠x is 60° and ∠y is 80°.

Alternate Interior Angles is defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles. These angles are always equal.

Since angle ∠x and ∠120° are interior angles on the same side of transversal.

So, x° + 120° = 180°

x° = 180° - 120°

x° = 60°

x = 60

Since angle ∠x° and angle ∠y° are alternate angles

So, x° + y° = 140°

Substitute the value of x = 60 in above equation,

60° + y° = 140°

y° = 140° - 60°

y° = 80°

Hence, the measure of angle ∠x is 60° and ∠y is 80°.

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Answer:

B and C are correct

Step-by-step explanation:

Use a calculator next time.

Answer:

-4

Step-by-step explanation:

(-18)+(-2)/(7)+(-2)

Add -18 and -2 to get -20.

-20/(7)+(-2)

Add 7 and -2 to get 5.

-20/5

-4

Hope this helps.

Answer:

2/3

Step-by-step explanation:

You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!

Answer:

2/3

Step-by-step explanation:

[tex]\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}[/tex]

Answer:

2. When substituting x=2 and y=1 into the equation, you get a true statement.

Hope this helps you.

Answer:

31° is the answer thank you

Answer:

100

Step-by-step explanation:

44 - 144

= 100

100-44

[tex]\int\limits^a_b {x} \, dx[/tex]

Answer:

y = 2x - 2

Step-by-step explanation:

The slope-intercept form of the equation of a line is

y = mx + b

where m is the slope, and b is the y-intercept.

y = mx + b

First we find the slope, m.

slope = (difference in y)/(difference in x)

It does not make a difference which point is first and which point is second in finding the differences, but you must do the x- and y-differences in the same order.

slope = (-2 - 2)/(0 - 2) = -4/(-2) = 2

The slope is 2, so m = 2, and now we have:

y = 2x + b

We need to find the value of b, the y-intercept.

We use one of the given points. Let's use (2, 2). We plug in 2 for x and 2 for y and solve for b.

2 = 2(2) + b

2 = 4 + b

-2 = b

b = -2

Now that we know the y-intercept is -2, we substitute b with -2.

y = 2x + b

y = 2x - 2

Answer: y = 2x - 2

Answer:

it'll take 6 years

Step-by-step explanation:

I =put

48= 400(.02) t

48= 8t

t= 6 years

Answer: first term = 6

Common difference = 2

Step-by-step explanation:

Eight term =a +(n-1)d = a +(8-1)d = a + 7d

Third term = a+(n-1)d = a + (3-1)d =a + 2d

a + 7d = 2(a + 2d)

a + 7d = 2a + 4d

7d - 4d = 2a - a

a = 3d

The fifth term is equal to 14. This is:

a + 4d = 14

Put the value of a into the equation here

3d + 4d = 14

7d = 14

d = 14/7

d = 2

Recall that a + 4d = 14

a + 4(2) = 14

a + 8 = 14

a = 14 - 8

a = 6

Answer:

x = [tex]\frac{b-7}{a-2}[/tex]

Step-by-step explanation:

Given

ax + 7 = 2x + b ( subtract 2x from both sides )

ax - 2x + 7 = b ( subtract 7 from both sides )

ax - 2x = b - 7 ← factor out x from each term on the left side

x(a - 2) = b - 7 ← divide both sides by (a - 2)

x = [tex]\frac{b-7}{a-2}[/tex]

Answer:

= 0.2 pound per day

Step-by-step explanation:

This is a fraction equal to

1 pound ÷ 5 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 5

1 pound ÷ 5

5 days ÷ 5

=  

0.2 pound

1 day

=  

0.2 pound

day

= 0.2 pound per day

Answer:

40/140 ≈ 0,2857 corresponds 28,57%.

Answer

If you are solving for X, take the root from both sides.

Exact Form:

x

=

√

5

+

4

,

−

√

5

+

4

Decimal Form:

x

=

6.23606797

…

,

1.76393202

…

Answer:

Step-by-step explanation:

[tex](x-4)^2=5\\ \\ x-4=\pm \sqrt{5}\\ \\ x=4\pm \sqrt{5}\\ \\ x=4-\sqrt{5},\ 4+\sqrt{5} [/tex]

Answer:

At the end of 35 years, your savings will have grown to $384,418.

You will have earned in $358,418 in interest.

Answer:

really what is the answer

Step-by-step explanation:

Answer:

y=x+2

Step-by-step explanation:

i cant see clearly if line is on the x axis or not, so im going to guess that it starts on a 2, cause its really close to 2.

hope this helps.

Answer:

1) 1/2 2) -16

Step-by-step explanation:

28-22=6

17-5=12

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

6/12=1/2

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

2) (11*2-42)+4=(22-42)+4=-20+4=-16

Answer:

1. 0.5 or 1/2

2.-16

Step-by-step explanation:

Answer:

23 and 13

Step-by-step explanation:

can you help me with my latest answer too??i'm on a time limit rn

Answer:

Step-by-step explanation:

let 2 number be x and y

x + y = 36 ---- equation ( 1 )

x - y = 10 -----equation ( 2 )

from ( 1 ) and ( 2 )

2y = 26

y = 13

putting value of Y in equation ( 1 )

x + y = 36

x + 13 = 36

x = 36 - 13

x = 23