What is the slope-intercept equation of the line below?
A. y = -4+3
B. y = 4x+3
C. y = 5/4x+3
D. y=-5/4x+3

Answer: D) Not possible

SSA is not a valid congruence theorem. Note how the angles are not between the congruent sides.

An SSA congruence theorem does exist. By SSA congruence ΔABC ≅ ΔPQR. Therefore, option D is the correct answer.

In the given figure, two sides and one angle of one triangle congruent to other triangle.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider ΔABC and ΔPQR

Here,

∠A=∠P (Given)

AC=PR (Given)

BC=QR (Given)

An SSA congruence theorem does exist. can be used to prove triangles congruent. sides and the corresponding nonincluded angle of the other, then the triangles are congruent.

By SSA congruence ΔABC ≅ ΔPQR

An SSA congruence theorem does exist. By SSA congruence ΔABC ≅ ΔPQR. Therefore, option D is the correct answer.

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Answer:

The mean of the given set of numbers is 3.5

Step-by-step explanation:

We need to find the mean of following numbers:

8.9, 6.1, -4.8, 8.2, 2.7,-0.1

For calculating the mean the formula used is: [tex]Mean=\frac{Sum \ of \ all \ numbers}{Total \ numbers}[/tex]

Finding sum of numbers:

[tex]Sum \ of \ numbers= 8.9+6.1-4.8+8.2+2.7-0.1\\Sum \ of \ numbers= 21[/tex]

Total numbers = 6

So, mean is:

[tex]Mean=\frac{Sum \ of \ all \ numbers}{Total \ numbers}\\Mean=\frac{21}{6}\\Mean= 3.5[/tex]

So, mean of the given set of numbers is 3.5

Answer:

(C) 1 1/2 mph

Step-by-step explanation:

There are 3 1/3rds in a hour. So you would multiply the rate by 3, since there's 3 in an hour.

0.5 * 3 = 1.5 mph or 1 1/2 mph (C)

Answer:

BC=2

Step-by-step explanation:

The equation is

AB+BC+CD=21

7+BC+12=21

19+BC=21

BC=21-19

BC=2

Answer:

Bc = 2

Step-by-step explanation:

Just add AB + CD

you'll get 19

substract it from AD

21 - 19 = 2

In Above question b = 39°

Not 31

Answer:

The answer is A

Step-by-step explanation:

Answer:

x = 63°

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

x + 94° + 23° = 180°

Step 2: Solve for x

Answer: it’s 63

Step-by-step explanation:

All triangles equal 180. So you need to add the angles they give you; so 23+94=117 so then you subtract 117 from 180 which equal 63

Answer:

$80.60

Step-by-step explanation:

I hope this helps!

Answer:

Natalie will have [tex]1\frac{43}{56}[/tex] jars of coins all together after receiving John's coins.

Step-by-step explanation:

Given that:

Coins Natalie have = [tex]1\frac{1}{8}[/tex] jars of coins

Coins John have = [tex]\frac{9}{14}[/tex] jars of coins

When John will give all his coins to Natalie.

Total coins Natalie have = Her coins + John's coins

Total coins Natalie have = [tex]1\frac{1}{8}+\frac{9}{14}[/tex]

Total coins = [tex]\frac{9}{8}+\frac{9}{14}[/tex]

Total coins =[tex]\frac{63+36}{56}=\frac{99}{56}[/tex]

Total coins = [tex]1\frac{43}{56}[/tex]

Hence,

Natalie will have [tex]1\frac{43}{56}[/tex] jars of coins all together after receiving John's coins.

Step-by-step explanation:

(1/12) / (3/4)

= (1/12) * (4/3)

= 1/9.

Answer:

1/3

in decimal would be 0.3333333

Step-by-step explanation:

Answer:

365,000

Step-by-step explanation:

Three hundred sixty five ten thousands means 3 hundred and 65 thousands

The number will be written in figures as 365,000

The hundred defines the 300 and the sixty-five ten thousands define 65,000

ten thousands is added in the number to define the nature of sixty-five.

Answer:

THANK YOU?

Step-by-step explanation:

DNSNJSMSNNFJD

Please, give me brainliest

Answer:

Step-by-step explanation:

4x-17+3x+8+x+13=180

8x+4 =180

8x=176

X=22

Answer:

x = 22

Step-by-step explanation:

<A + <B + <C = 180

<A = 4x - 17

<B = 3x + 8

<C = x + 13

4x - 17 +  3x + 8 +  x + 13 = 180           Collect the like terms

8x + 4 = 180                                        Subtract 4 from both sides

8x = 180 - 4

8x = 176                                               Divide by 8

x = 176/8

x = 22

Answer:

15

Step-by-step explanation:

no

Answer: 108.1 g

Step-by-step explanation:

432.4/4 = 108.1

Answer:

. umm whats the question

Step-by-step explanation:

Answer: d. 92

Step-by-step explanation: 150 time for equals 600. so all you gotta do is multiply 23 times 4

Answer:13,7,8 but if there’s an answer choice go with 7,8

Step-by-step explanation: Assuming b is an integer, we first look at factors of 4, being 1 and 4 or 2 and 2. The factors of 3 are 1 and 3 only. So the factorisation possibilities are (x+3)(4x+1), (4x+3)(x+1) and (2x+1)(2x+3).

Expanding these we get: 4x²+13x+3, 4x²+7x+3 and 4x²+8x+3, giving values of b=13, 7 and 8

The possible values of b in the given polynomial are 7, 8 or 13.

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer powers of variables.

Given is a polynomial, 4x²+bx+3, we need to find all possible values of b such that 4x²+bx+3 can be factored.

4x²+bx+3

4×3=2×2×3

2×2×3 = 2×6 and 2+6 = 8

2×2×3 = 4×3 and 4+3 = 7

2×2×3 = 12×1 and 12+1 = 13

b=7, b=8, and b=13

4x²+7x+3 = (4x+3) (x+1)

4x²+8x+3 = (2x+1) (2x+3)

4x²+13x+3 = (4x+1) (x+3)

Hence, the possible values of b in the given polynomial are 7, 8 or 13.

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Answer:

Step-by-step explanation:

Constance C. asked • 03/06/17. An item on sale costs 60 % of the original price. If the original price was $ 85 , what is the sale price? An item on sale costs 60 %

Answer: I think it is 364.80

Answer:

HI

Step-by-step explanation:

WOW

Answer: A

Step-by-step explanation:

Answer:

A. Rachel is correct; Graph S is nonproportional.

Step-by-step explanation:

Answer:

70/9

Step-by-step explanation:

We have the quadratic:

[tex]3x^2+4x-9[/tex]

So, let’s find the roots of the quadratic. We will set the expression equal to 0:

[tex]3x^2+4x-9=0[/tex]

Testing for factors, we can see that our quadratic isn’t factorable.

So, we can use the Quadratic Formula. The quadratic formula is given by:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case:

[tex]a=3, b=4,\text{ and } c=-9[/tex]

Therefore, by substitution:

[tex]\displaystyle x=\frac{-(4)\pm\sqrt{(4)^2-4(3)(-9)}}{2(3)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{-4\pm\sqrt{124}}{6}[/tex]

Simplify the square root:

[tex]\sqrt{124}=\sqrt{4\cdot31}=2\sqrt{31}[/tex]

Hence:

[tex]\displaystyle x=\frac{-4\pm2\sqrt{31}}{6}[/tex]

Reduce:

[tex]\displaystyle x=\frac{-2\pm\sqrt{31}}{3}[/tex]

So, our roots are:

[tex]\displaystyle x_1=\frac{-2+\sqrt{31}}{3}, x_2=\frac{-2-\sqrt{31}}{3}[/tex]

We want to find the sum of the squares of our two roots. So, let’s square each term:

[tex]\displaystyle (x_1)^2=\Big(\frac{-2+\sqrt{31}}{3}\Big)^2[/tex]

Square. For the numerator, we can use the perfect square trinomial patten where:

[tex](a+b)^2=(a^2+2ab+b^2)[/tex]

Therefore:

[tex]\displaystyle (x_1)^2=\Big(\frac{(-2)^2+2(-2)(\sqrt{31})+(\sqrt{31})^2}{9}\Big)[/tex]

Simplify:

[tex]\displaystyle (x_1)^2=\frac{35-4\sqrt{31}}{9}[/tex]

Similarly, for the second root, we will have:

[tex]\displaystyle (x_2)^2=\Big(\frac{-2-\sqrt{31}}{3}\Big)^2[/tex]

So:

[tex]\displaystyle (x_2)^2=\Big(\frac{(-2)^2+2(-2)(-\sqrt{31})+(-\sqrt{31})^2}{9}\Big)[/tex]

Simplify:

[tex]\displaystyle (x_2)^2=\frac{35+4\sqrt{31}}{9}[/tex]

Therefore, our sum will be:

[tex]\displaystyle (x_1)^2+(x_2)^2\\\\ \begin{aligned} &=\frac{35-4\sqrt{31}}{9}+\frac{35+4\sqrt{31}}{9}\\&=\frac{35-4\sqrt{31}+35+4\sqrt{31}}{9}\\&=\frac{70}{9}\end{aligned}[/tex]

Therefore, our final answer is 70/9.

Answer:

A 454545 is the correct answer

Answer:

its 241

Step-by-step explanation:

i did it on khan

Answer:

i dont even know what the qeustion is trying to say

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2*5 = 10

Answer: 240 grams of flour and 40 grams of sugar.

Step-by-step explanation: I used the rule of three to calculate the values for the flour and sugar. The common ratio that these numbers have would

be 40.

Reasoning: If the ratio is 6:4:1, then you can apply it as a rule of three. If 160 relates to 4, then x (the value of flour) will relate to 6. 160/4 = x/6, cross multiply, and x = 240. The amount of flour is 240 grams. Using the same logic, you can set another rule for the amount of sugar (represented by variable s); 160/4 = s/1. Cross multiply, and s = 40. The amount of sugar is 40 grams.

Answer:

y + (1/4)(x + 4)

Step-by-step explanation:

One point on the graph is (-4, 0); another is (4, 2).

The change in x from the first point to the second is 8; this is the 'run.'

The change in y is 2 (which is 2 - 0).  This is the 'rise.'

Thus, the slope of the line is m = rise / run = 2/8 = 1/4

Let's use the point-slope form of the equation of a straight line:

y  - k = m(x - h).  Substituting 0 for k and -4 for h, we get:

y - 0 = (1/4)(x + 4), or

y + (1/4)(x + 4)

Answer:

parallel lines never  intersect

perpendicular  lines intersect at a right angle

Step-by-step explanation:

Answer:

Ramon, 16 hours

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

We have to find x

Given that:

20% of x = 12 % of (x +20)

This can be written as:

0.2(x) = 0.12 (x + 20)

0.2x = 0.12x + 2.4

Subtracting 0.12x from both sides we get:

0.2x - 0.12x = 0.12x - 0.12x + 2.4

0.08x = 2.4

Dividing both sides by x we get:

0.08/0.08x = 2.4/0.08

x = 30

Answer:

x = 30

Step-by-step explanation:

Set up an equation:

0.2x = 0.12(x + 20)

Distribute 0.12 and solve for x:

0.2x = 0.12x + 2.4

0.08x = 2.4

x = 30

So, the answer is x = 30

Answer:

200

Step-by-step explanation:

10*20=200.

I am not positive what you are asking but that is the answer I am able to give at this moment.

I hope I at least helped you. :)