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Answer:

R = 101

S = 131

Step-by-step explanation:

First, you will want to get your angle T. Since T is on the same line as the angle with 128 degree, you can easily find angel T. They are supplementary angels and form 180.

T=180-128

T=52

You also know that all angles in a triangle equal to 180

Use that to find angle S

180 = R+S+T

180 = 79 + S + 52

180 - 79 - 52 = S

49 = S, exterior S = 180-49 = 131

Exterior R = 180 - 79 = 101

Now add all your exteriors

Answer:

28, 35, 42, 55, 57

5 numbers

Middle number - 42

Triangle ABC has the three sides AB, BC, and AC.

Let's find the slope of each line. We'll use the slope formula

Let's start with the slope of line AB.

A = (-3, -4) = (x1,y1)

B = (16, -2) = (x2,y2)

m = slope

m = (y2-y1)/(x2-x1)

m = (-2-(-4))/(16-(-3))

m = (-2+4)/(16+3)

m = 2/19

The slope of line AB is 2/19. I'll keep it in fraction form.

We'll use this later, so let p = 2/19.

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

Repeat those steps to find the slope of BC

B = (16, -2) = (x1,y1)

C = (13, -10) = (x2,y2)

m = (y2-y1)/(x2-x1)

m = (-10-(-2))/(13-16)

m = (-10+2)/(13-16)

m = -8/(-3)

m = 8/3

The slope of line BC is 8/3.

Let q = 8/3 so we can use it later.

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

Now find the slope of line AC.

A = (-3, -4) = (x1,y1)

C = (13, -10) = (x2,y2)

m = (y2-y1)/(x2-x1)

m = (-10-(-4))/(13-(-3))

m = (-10+4)/(13+3)

m = -6/16

m = -3/8

The slope of line AC is -3/8

Let r = -3/8.

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

To recap everything so far, we have

We can see that,

Of those slope multiplications, q and r multiply to -1 is what we should focus on. If two slopes multiply to -1, then their lines are perpendicular. This applies to any perpendicular lines where neither line is vertical, and neither is horizontal.

The fractions 8/3 and -3/8 are negative reciprocals of one another. We flip the fraction and flip the sign from positive to negative, or vice versa. This is another way to see we have perpendicular slopes.

So in short, we've shown that BC and AC are perpendicular, and therefore triangle ABC is a right triangle.

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

To solve this problem a completely different way, we could follow this outline:

Through step 1, you should find that,

Let a = sqrt(73), b = sqrt(292), c = sqrt(365). You should find that a^2+b^2 = c^2 is a true statement based on those values, and therefore we have a right triangle. The longest side is AB = sqrt(365), making angle C to be the 90 degree angle. The diagram is shown below. I used GeoGebra to make the diagram.

Answer:

STATEMENT NO. 4 IS CORRECT.

Step-by-step explanation:

Because every rectangle has two pair of parallel lines so it can be called a parallelogram.

Answer:

fart I have a great job and the people whose this movie I don't have to work on that is a great job with your family for a relationship but not in a Philippine language is

Answer:

C: 18 4/15

Step-by-step explanation:

7 2/3 + 10 3/5

Convert fractions so that they share a common denoninator:

7 10/15 + 10 9/15

17 19/15

18 4/15

4247.43327 Or short 4247.4!

Step-by-step explanation:

Answer:

The answer is 20s+10h=500

Step-by-step explanation:

The reason is because 20 times 20=400 and then 10 times 10= 100 then you add those together and get $500

Answer:

pressure is force/area

Step-by-step explanation:

answer is 15/30. here's the equation. P=F/A

Answer:

0.2N/m^2

Step-by-step explanation:

P = Force / Area

P = 15N / 30m^2

P = 0.2 N/m^2

Answer:

90

Step-by-step explanation:

a right angle is always 90 degrees

Answer:

Graph.

y>−4x+5 and y>2x−7

Step-by-step explanation:

Answer:

Essential Elegance Candle

Step-by-step explanation:

Ratios are Lavender:Vanilla

For the Essential elegance candle the ratio is 3:6 which can be simplified to 1:2 whereas the Glory Candle is 4:10 which can be simplified to 2:5 on either one the vanilla is the bigger number but in terms of ratio it would be the essential elegance since 1/2>2/5

Answer:

14

Step-by-step explanation:

1/7*X=2

X=2/(1/7)

X=2*7

X=14

➪ Product of two rational numbers = 2

➪ One of the number = [tex] \frac{1}{7} [/tex]

➪ The other number.

[tex]\huge{\boxed{\boxed{\tt{\purple{Solution\:⤵}}}}}[/tex]

[tex]\sf\blue{The \:other \:number \:is\: 14.}[/tex] ✅

❥ Let the other number be [tex]x[/tex].

❥ As per the question, we have

[tex]product \: of \: two \: rational \: numbers \: = 2 \\ ⇢  \frac{1}{7} \times x = 2 \\ ⇢ x = 2 \times 7 \\ ⇢ x = 14[/tex]

[tex]\sf\red{Therefore,\:the\:other\: number\: is\: 14.}[/tex]

[tex] \frac{1}{7} \times 14 = 2 \\➪ \: \frac{14}{7} = 2 \\ ➪ \: 2 = 2\\ ➪ \: L. H. S. = R. H. S.[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

A. (2,5)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

x = 10

y = -4

Step-by-step explanation:

[tex]\ -4(2 - 1.2x ) = 40\\\ -8 + 4.8x = 40\\\ 4.8x = 40+8\\\ 4.8x = 48\\x = \frac{48}{4.8} = \frac{48 \times 10}{48} = 10[/tex]

[tex]9 = 6y + 33\\6y = 9 -33\\6y = -24\\y = -4[/tex]

Answer:

m = 18

Step-by-step explanation:

10/15 = m/12

Cross multiply using the butterfly method.

15m = 10*12

15m = 120

Divide both sides by 15.

m = 8

I personally like to use ratios but I am not sure if that's what you want. Anyway here's my answer

Answer:

3/4

Step-by-step explanation:

Maria practiced for her piano recital each day for three days. the first day she practiced for 3/4 hour, the second day she practiced for 1 1/2 hours, and the third day she practiced for 2 1/4 hours. by how much did she increase the time she practiced each day?

the increase in hours practiced can be determined by calculating the difference between the hours practiced on the second and first day

[tex]1\frac{1}{2} - \frac{3}{4}[/tex]

[tex]1\frac{2 - 3}{4}[/tex]         the lowest common multiple that can divide 2 and 4 is 4.

[tex]\frac{6-3}{4}[/tex]          if 2 is subtracted from 3, the answer  would be negative. So,                                              borrow 1 from the whole number. the value of this borrowed one would be equal to 4 which is the LCM. Add 4 to 2. this gives 6

[tex]\frac{3}{4}[/tex]

Answer:

This is all the above

Step-by-step explanation:

all answers are true to this graph

Answer:

Teorema de Pitágoras

Step-by-step explanation:

Answer is 9.

Given :

If, A = { x : x is a letter in the word 'MATHEMATICS' } .

To Find :

The members of A and find  n (A).

Solution :

We have given a set, A = { x : x is a letter in the word 'MATHEMATICS' } .

Now, we know in set theory recurring element is written once only i.e all unique elements should be there in the set.

So,

A = { M, A, T, H, E, I, C, S }

Now, number of element in set A is 8.

Therefore, n(A) = 8 .

Answer:

There is a vertical Asymptote at x = 5 because [tex]\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]

There is a vertical Asymptote at x = -5 because [tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]

Step-by-step explanation:

The exact question is as follows :

Given - G(x) = -7(x-5)^2(x+6)/(x-5)(x+5)

To find - Which statement make correctly uses limits determine a vertical Asymptote of G(x)

Solution -

Vertical Asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function.

Here the given function is the rational function

Denominator of G(x) = (x - 5)(x + 5)

So,

Put denominator = 0, we get

(x - 5)(x + 5) = 0

⇒x = 5, -5

∴ we get

G(x) has vertical Asymptotes at x = 5 and x = -5

Now,

At  x= 5

[tex]\lim_{x \to 5^{-} } G(x) = \infty\\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]

And

At x = -5

[tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]

∴ we get

There is a vertical Asymptote at x = 5 because [tex]\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty[/tex]

There is a vertical Asymptote at x = -5 because [tex]\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty[/tex]

Answer:

Step-by-step explanation: A

Answer:

9. 5 Hours

Step-by-step explanation:

8:30 AM to 12:00 PM = 3.5 hours

12:00 PM to 6:00 PM = 6 hours

Total = 6 + 3.5 = 9.5 hours  

Hope this answer helps you :)

Have a great day

Mark Brainliest

Answer:

A)-19,15,-9,-1,9

Step-by-step explanation:

that's the answer when I compute it

===================================================

Explanation:

If we plug in x = -2, then we get,

y = x^2 + 7x - 9

y = (-2)^2 + 7(-2) - 9

y = 4 - 14 - 9

y = -10 - 9

y = -19

So x = -2 leads to y = -19. The answer is between A and D.

---------

If you repeat those steps for x = -1, then you should get y = -15

Then x = 0 leads to y = -9

x = 1 leads to y = -1

Finally, x = 2 leads to y = 9

The outputs we get are: -19, -15, -9, -1, 9 which is choice A

Choice D is fairly close, but we won't have a second copy of -15, and  we don't have an output of -19.

Answer:

A

Step-by-step explanation:

The first graph shows a dot on .5 and the recipes calls for half a cup of sugar.

Answer:

Step-by-step explanation:

[tex]f=\frac{1}{2}s[/tex] is the graph of a straight line with a slope of 1/2. This implies that for every cup of sugar, 1/2 a cup of flour is needed. This also implies what the graph looks like in a coordinate plane. Slope is defined as rise over run, or y over x, so if our slope is 1 over 2, from the origin we go up 1 unit and over 2 units along the length of the whole line. The only graph that displays this slope is graph A.

Answer:

[tex]f(x) = (0.85)^x[/tex]

Step-by-step explanation:

Exponential amount of decay:

The equation for an amount that decays exponentially has the following format:

[tex]A(x) = A(0)(1 - r)^x[/tex]

In which r is the decay rate, as a decimal.

Decrease by 15%

This means that [tex]r = 0.15[/tex]. So

[tex]f(x) = (1 - r)^x = (1 - 0.15)^x = (0.85)^x[/tex]

So

[tex]f(x) = (0.85)^x[/tex]

Answer:

x = 55, y = 45

Step-by-step explanation:

add both equations: 2x = 110, x= 55, input back in to get y = 45

This is Right answer.....

I hope you understand....

Thanks....

Answer:

B. Multiply by 2, add 1

explanation:

23× 2 = 46 + 1 = 47

47 × 2 = 94 + 1 = 95

95 × 2 = 190 + 1 = 191

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1[tex]\sqrt{2}[/tex]=x/16

x=16/[tex]\sqrt{2}[/tex]

x=8[tex]\sqrt{2}[/tex]

Answer:

x=  -9       y= -4

Step-by-step explanation:

Step 1:

  2x-3y=-6

+ -2x-2y=26

_____________

         -5y=20

Step 2:

Get y by itself by dividing -5 on both sides

20/-5=-4

Therefore, y= -4

Step 3:

Plug -4 into the y for the first equation to get the number for x

2x-3(-4)=-6

2x+12=-6

2x= -18

x= -9