Given that x + y= 180, p + 9 = 180, and p = x. Show that y= q. 1) Which step would be used to prove the argument? es A) x + p = 180 B) x + y = p +9 (9y+ = 180 D) 2x + 2y = 180 ​

Using a system of equations, it is found that the numbers are 5 and -7.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, we say that the numbers are x and y.

They multiply to -35, hence:

xy = -35.

They add to -2, hence:

x + y = -2 -> y = -2 - x

Replacing on the first equation:

x(-2 - x) = -35

-x² - 2x + 35 = 0

x² + 2x - 35 = 0

(x + 7)(x - 5) = 0

x = -7 -> y = 5

x = 5 -> y = -7

Hence the numbers are 5 and -7.

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Answer:

x = 8 - sqrt(y + 25)

Step-by-step explanation:

Step-by-step explanation:

comparing given equation with ax^2+bx+c;

a=1   b=-16   c=39

now,

x coordinate of vertex = -b/2a

                                      = 16/2*1

                                     = 8

again,

y coordinate of vertex = (8)^2-16(8)+39

                                       =-25

Therefore, the turning point is (8,-25).

Answer:

244 miles (nearest whole number)

Step-by-step explanation:

This scenario can be modeled as a geometric series.

From the information given:

The formula for the sum of the first n terms of a geometric series is:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, the sum of the first 19 terms is:

[tex]\implies S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]

[tex]\implies S_{19}=244.3120313...[/tex]

244 miles (to the nearest whole number)

So

It's a GP

we need Sum

[tex]\\ \rm\Rrightarrow S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=\dfrac{−12.21560156300510578244137725830078125}{-0.05}[/tex]

[tex]\\ \rm\Rrightarrow S_{19}=244.312\approx 244mi[/tex]

So, the length of the side adjacent to angle β is approximately 17.15 cm. triangle Therefore, the closest option is 16.7 cm.

A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.

sin(β) = opposite/hypotenuse

[tex]hypotenuse^2 = adjacent^2 + opposite^2\\17.5^2 = adjacent^2 + opposite^2\\306.25 = adjacent^2 + opposite^2\\[/tex]

opposite = sin(β) x hypotenuse = 0.292 x 17.5 = 5.095 cm

[tex]306.25 = adjacent^2 + 5.095^2\\306.25 - 5.095^2 = adjacent^2\\294.81 = adjacent^2\\[/tex]

√294.81 = adjacent

So, the length of the side adjacent to angle β is approximately 17.15 cm. Therefore, the closest option is 16.7 cm.

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Answer:

$13

Step-by-step explanation:

89 = 11 +6x

78 = 6x

x = 13

Answer:

13 dollars

Step-by-step explanation:

89-11=78

78/6=13

Answer:

8

Step-by-step explanation:

[tex]=\frac{1}{2}(a+b)-(a-b)\times2\\\\= \frac{1}{2}(18+14)-(18-14)\times2\\\\= \frac{1}{2}(32)-(4)\times2\\\\=16-8=8[/tex]

Answer:

Step-by-step explanation:

-15-9+(-7)

answer: A, -31.

hope this helps! mark me  brainliest as well please.

Answer:

-31

Step-by-step explanation:

you can subtract -15 and -9 which equals -24. After that, you can just subtract it by 7 . because +(-)= - so -15-9-7= -31

Answer:

C. 4x = 52

Step-by-step explanation:

If each person spent $x,

then the total amount spent will be 4x

we already know that the total amount spent is 52

so, 4x = 52

Answer:

4x=52

Step-by-step explanation:

[tex]let \: the \: price \: for \: each \: ticket \: be = x \\ since \: four \: persons \: bought \: the \: ticket \: \\ 4x = 52 \\ the \: equation \: for \: each \: ticket \: will \: be \: \\ 4x = 52[/tex]

Answer:

Solution for 9y+4-6y= equation: Simplifying 9y + 4 + -6y = 0 Reorder the terms: 4 + 9y + -6y = 0 Combine like terms: 9y + -6y = 3y 4 + 3y = 0 Solving 4 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right.

Step-by-step explanation:

Answer:

Step-by-step explanation:

starting from the upper right corner and going counterclockwise.

upper right: I

upper left: II

bottom left: III

bottom right: IV

Answer:80%

Step-by-step explanation:8/10×100

Answer:

im sorry theirs not eghou imformation

Step-by-step explanation:

Answer:

4% of 175,000 is 7,000

7,000x 5=35,000

175,000-42,000 equals 140,000 the value of the house

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the question asks us to rationalise the given term ! thus , we'll just have to remove the √3 from th denominator anyhow !

let's start ~

[tex] \frac{2 \sqrt{5} }{7 - \sqrt{3} } \\ \\ \implies \: \frac{2 \sqrt{5} }{7 - \sqrt{3} } \: \times \: \frac{7 + \sqrt{3} }{7 + \sqrt{3} } = \frac{14 \sqrt{5} + 2 \sqrt{15} }{(7) {}^{2} - ( \sqrt{3) {}^{2} } } \\ \\ \implies \frac{14 \sqrt{5} + 2 \sqrt{15} }{49 - 3} \\ \\ \implies \frac{14 \sqrt{5} + 2 \sqrt{15} }{46} \\ \\ \implies \: \frac{\cancel{2}(7 \sqrt{5{} } \: + \sqrt{15} )}{\cancel{46} } \\ \\\bold\red{ \implies \: \frac{7 \sqrt{5} + \sqrt{15} }{23}}[/tex]

hope helpful :D

Answer:

Right Triangles

Step-by-step explanation:

This is because in a right angled triangle, there is one angle that is equal to 90 degrees, and 2 that are 45 degrees each.

These 45 degree corners make up the corners of the square (45+45 = 90 = right angle = corner of square)

Hope this makes sense.

1. -33.963333

2. 28

but i'm not sure

$54.4

hope it really helps...!!!

Answer:

AD║BC

DE≅CE

AC≅DBΔ

ΔAED≅ΔBEC

Step-by-step explanation:

NOTHING ELSE

≅

║

Δ

have a good day!

Answer:

Its 280 so c

Hope this helps<3

Step-by-step explanation:

Answer:

3:22

Step-by-step explanation:

Answer:

(0,4).

Step-by-step explanation:

The point (0, 4) is on the y axis ( as x = 0) so the answer is (0,4).

Answer:

I got the answer as h=8.184cm

Answer:

32 x 2
---------- = 16
.....4


To start off we can do 32 x 2.
32 x 2 = 64


Next, we divide 64 by 4 to equal the fraction 32 x 2 / 4.
64 divided by 4 = 16


In conclusion the fraction 32 x 2 / 4 is equal to 16.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer: hii

Step-by-step explanation:

Answer:

i think since p(x) = p(3)

Step-by-step explanation:

then p(3) = 3

where you see x add 3

so 1/2(x-5)^2 + 14

1/2(3-5)^2 + 14

1/2(-2)^2 + 14

1/2 x 4 + 14

cancel out 4 by 2 ( divide)

you get 2 + 14

16.

p(x) = 16.

Hope this helps .

The ladder and the wall it leans on are illustrations of right triangle

The horizontal distance from the base of the ladder is 5.41 feet

The given parameters are:

Length (L) = 26 feet

Angle of elevation (θ) = 78 degrees

The horizontal distance (D) is calculated using the following cosine ratio

cos(θ) = D/L

Substitute known values

cos(78) = D/26

Make D the subject

D = 26 * cos(78)

Multiply

D = 5.41

Hence, the horizontal distance from the base of the ladder is 5.41 feet

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Answer:

5.41 Feet

Step-by-step explanation: