Devaughn is 7 years older than Sydney. The sum of their ages is 103. What is Sydney's age?

Answer:

1: Side-Side-Side theorem

2: Side-Angle-Side theorem

3: Angle-Side-Angle theorum

4: Side-Angle-Angle theorum

Step-by-step explanation:

Look at the order of the sides and/or angles of the triangles. Because both of the triangles have the same sides/angles based off either the side-side-side, side-angle-side, angle-side-angle, or side-angle-angle theorem, they are congruent.

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2x−12)^2 can be factored into 2^2*(x - 6)^2, which in turn becomes

4(x^2 - 12x + 36).  Yes, this is a special product of the form

(a - b)^2 = a^2 - 2ab + b^2.

[tex]\stackrel{R}{(\stackrel{x_1}{8}~,~\stackrel{y_1}{-8})}\qquad \stackrel{S}{(\stackrel{x_2}{4}~,~\stackrel{y_2}{7})}~\hfill \stackrel{\textit{component form}}{(x_2-x_1~~,~~y_2-y_1)} \\\\[-0.35em] ~\dotfill\\\\ (4-8~~,~~7-(-8))\implies (-4~~,~~7+8)\implies \stackrel{\textit{component form}}{(\underset{a}{-4}~~,~~\underset{b}{15})} \\\\\\ ||RS||=\sqrt{a^2+b^2}\implies ||RS||=\sqrt{(-4)^2+15^2}\implies ||RS||=\sqrt{241}[/tex]

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,2)~~ \text{and} ~~ (x_2,y_2) =(2,-4)\\\\\text{Slope,}~~m = \dfrac{y_2 -y_1}{x_2 - x_1} = \dfrac{-4-2}{2-0}=-\dfrac 62 = -3\\\\\\\text{Equation with given points,}\\\\~~~~~~y-y_1 = m(x-x_1)\\\\\implies y-2 = -3(x-0)\\ \\\implies y-2 = -3x \\\\\implies y = -3x +2\\\\\text{This is the equation of line in slope- intercept form(y=mx+c).}[/tex]

Answer:

Hello Camila Sofia Pazos Motta, you have to divide by pi, not 3.

Step-by-step explanation:

Answer: ≈ 1.4.

Step-by-step explanation: To find the hypotenuse of a triangle (the longest side of a triangle), you need to add the legs (the two sides of the triangle that are not the hypotenuse). You need to have ^2 when adding each leg.  For example, both legs are 1 so when you're adding them, the equation should look like this--> 1^2 + 1^2.  Then, once you find the answer to that, you need to find the square root of the answer.  The work is done below:

1^2 + 1^2 = 2.

√2 ≈ 1.41421356 or ≈ 1.4.

Therefore, your answer is ≈ 1.4.

Let me know if this is right! :)

Answer:

153.722 fl oz

Answer:

w = 12

y= 4sqrt2

Step-by-step explanation:

Step-by-step explanation:

31+27+19+18+22+21+25+29+34+30 divided by 10

Answer:

100

Step-by-step explanation:

You have to find the current average-

73+84+71=228

228/3=76.

228+?=328?

(328=82x4)

328-228=100

Answer:

Step-by-step explanation:

Darnell gives his friends

Remaining pie

Answer:

[tex]\huge\boxed{\bf{Leftover\:Daniel\:pie = 1\frac{1}{8}pie}}[/tex]

Step-by-step explanation:

Given:-

To find: -

Ans:-

The first step is to find a lot of cakes that will be given to five of Daniel's friends

Finally we determine the rest of Daniel's pie

Therefore leftover Daniel pie is = [tex]\frac{9}{8}[/tex]pie or [tex]1\frac{1}{8}[/tex]pie

[tex]\:[/tex]

[tex]\huge\colorbox{skyblue}{BlackPain}[/tex]

Answer:

19.5 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

14^2 + b^2 = 24^2

196 + b^2 = 576

Now we subtract!!

576 - 196 = b^2

380 = b^2

Now we find the square root!!

[tex]\sqrt{380}[/tex] = 19.5 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Subtract 3 from both sides.

Step-by-step explanation:

x + 3 = 5

x = 5 - 3

x = 2

I know I`m late sorry, still wanted to answer

. _ .

Answer:

First option

Step-by-step explanation:

Given the following question:

[tex]x+3=5[/tex]

To find the answer we need to subtract three on both sides, since we are given a positive three ( + 3) instead of a negative three (- 3) If the equation was " x - 3 = 5 " we would then add three on both sides but in this case we have a positive three.

[tex]x+3=5[/tex]
[tex]3-3=0[/tex]
[tex]5-3=2[/tex]
[tex]x=2[/tex]

Which means your answer is the first option or "subtract 3 from both sides."

Hope this helps.

Answer:

99 degrees.

Step-by-step explanation:

m < 8 = 99   (corresponding angles are congruent).

The height of the building located at a distance from the tower is approximately 163.716 meters.

After a careful reading to the statement, we represent all the information given in a geometric diagram. In this question we must apply trigonometric relationships to calculate the height of the building (h), in meters, based on the fact of the existing two right triangles. The diagram is presented in the image attached below.

Now we proceed to calculate the height of the building:

[tex]h = \left(\frac{50\,m}{\tan 40^{\circ}} \right)\cdot \tan 70^{\circ}[/tex]

h ≈ 163.716 m

The height of the building located at a distance from the tower is approximately 163.716 meters. [tex]\blacksquare[/tex]

To learn more on trigonometric relationships, we kindly invite to check this verified question: https://brainly.com/question/6904750

Answer:

A) 972π cm³

Step-by-step explanation:

d = 18 cm

r = d/2 = 9 cm

V = (4/3)πr³

V = (4/3)π(9 cm)³

V = (4/3)π(729 cm³)

V = 972π cm³

The formula is : A=6a^2

So lets say its a cube with edge lengths of 4

We first find out the area of each side by multiplying 4*4

They you multiple the answer of that, 16, by 6, for each of the sides.

A = 96 Units ^2

Answer:

1.77

Step-by-step explanation:

.................

Answer:

D. Multiply by 3

Step-by-step explanation:

Given:

To find:

Notice that if you keep multiplying by 3:

Then you will get exact sequence as given, so next 3 missing terms have to be:

Hence, the pattern for this sequence is to multiply by 3.

Note

Answer:

bh/2

Meaning :

base times height, halfed

Answer:

Step-by-step explanation:

A = hb/2 or 1/2×hb

Where h is the vertical height and b is the base length.

#a

H(0)

It refers to y value on graph when x is 0

So here it refers to y intercept

Hence

#b

Observe the graph

y intercept is not 0 so it's not true

#3

Domain is set of x values in graph

#4

Range is set of y values on graph

Answer:

C.

Step-by-step explanation:

5 liters divided by 8.

5 divided by 8 = 5/8

Answer: 5/8 liter

Step 1: Find the Slope

Parallel lines have the same slope, therefore the slope of our new line is also -7.

Step 2: Find the Y-Intercept

Once we have the slope and a point on the line, we can solve for the y-intercept. Plug in the slope and the given point into slope-intercept form and solve for b.

Slope-Intercept Form: y = mx + b

Slope = -7

Point = (0, 4)

4 = -7(0) + b

b = 4

Step 3: Form the Equation of the Line

Now that we have both the slope and the y-intercept of the new line, all that's left to do is plug those values into slope-intercept form.

Slope-Intercept Form: y = mx + b

m = -7

b = 4

Equation of the New Line: y = -7x + 4

Answer: y = -7x + 4

Hope this helps!

Answer:

y = -7x + 4

Step-by-step explanation:

Given

Solving

Answer:

y⁶ (I think you enter just 6 in your problem)

64x¹⁸y⁶ (Simplified)

In the Simplified problem above y has an exponent of 6.

Answer:

666.888.000.333

Step-by-step explanation:

yeah I said what I said

bye

Answer:

38300000 can be written as 3.83 x 10⁷

Answer:

3.83 x [tex]10^{7}[/tex]

Step-by-step explanation:

38300000/ [tex]10^{7}[/tex] = 3.83

Answer:

(-3+5x)=9

open the bracket.

-3+5x=9

collect like terms.

5x=9+3.

5x=12

divide both side by 5

5x/5=12/5

x=2.4