Determine whether side-angle-angle (SAA) is valid means for establishing triangle congruence. In this case, you know the measure of : side, an
adjacent angle, and the angle opposite to the side. If it is valld criterion, explain why. If it is not valid, use GeoGebra to create a counterexample
demonstrating that it doesn't work and give an explanation. If you construct a counterexample, take a screenshot of your work, save it, and insert
the image in the space below.

Answer:

4.67×10

4

=4.67×10000=46700

[tex]4.67 \times {10}^{4} [/tex]

[tex] = \: 4.67 \times 1000[/tex]

[tex] = \: 46700[/tex]

Answer:

x=36

2x=72

4x=144

Step-by-step explanation:

Remember that the sum of all the inside angles of a triangle = 180

so angle E is 180-2x

and angle F is 180-4x

If you add angles E, F, and G, they need to add to 180.

substituting, we get 180-2x + 180-4x + x = 180.

Simplifying this, we get 180-5x = 0

and x=180/5 = 36

so if x=36, then 2x=72 and 4x=144

Answer:

36

Step-by-step explanation:

The angles of the triangle are going to be, (x), (180-2x), (180-4x)

and since the sum of the angles of a triangle is 180, then:

x + (180-2x) + (180-4x) = 180

-5x + 360 = 180

-5x = 180 - 360

-5x = -180 (Multiply both sides by -1)

5x = 180

x = 36

So, the three angles will be: 36, 144 and 72

They are similar

4/6 = 2/3

3/4.5 = 2/3

5/7.5 = 2/3

The small rectangular prism’s volume is 4x3x5 = 60

The large rectangular prism’s volume is 6x4.5x7.5= 202.5

Hope this helps!

Answer:

infinite solutions

Step-by-step explanation:

-3x = -x – 2x

Combine like terms

-3x = -3x

Add 3x to each side

-3x+3x = -3x+3x

0 =0

This is always true so there are infinite solutions

Answer:

im not completely sure if the question is just asking how many gallons of gas berto is able to buy but if it is than he is able to buy 3.2 gallons of gas

Step-by-step explanation:

just do how much money he has divided by how much gas costs to see how much gas he will be able to buy

Answer: (3.2, 12)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

y=mx+b

m is suppoussed to be the slope in all equations in this standard form

Answer from Gauthmath

Answer:

(0,-7)

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 3x-7

The slope is 3 and the y intercept is -7

(0,-7)

Answer:

3×10=10+5s

30=10+5s

30-10=5s

20=5s

5s=20

s=20/5

s=4 ans.

I hope this will help you

Answer:

s= 4

Step-by-step explanation:

solution,

3×10= 10 + 5s

30 = 10+ 5s

30 - 10 = 5s

20 = 5s

20 ÷ 5 = s

4 = s

Therefore, the value of s is 4.

Answer:

[tex]3x + 8 = 5x - 20 \\ 5x - 3x = 12 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6[/tex]

Answer:

θ = 60.34

Step-by-step explanation:

[tex]\frac{\left(12.8\cdot \:sin\left(90\right)\right)}{sin\left(52.3\right)}[/tex] = 16.177

[tex]\frac{\left(16.177\cdot \:sin\left(90\right)\right)}{18.6}[/tex] =  θ = .869

[tex]arcsin\left(.869\right)[/tex] = 60.34

Answer:

60.4°

Step-by-step explanation:

There are two right triangles.

One right triangle (on the left side) has an acute angle measuring 52.3°.

Its opposite leg measures 12.8 cm.

We can find the length of its hypotenuse, x.

sin 52.3° = opp/hyp

sin 52.3° = 12.8 cm/x

x * sin 52.3° = 12.8 cm

x = 12.8 cm/sin 52.3°

x = 16.2 cm

Now we use the hypotenuse of the left side triangle which is a leg of the right side triangle.

For the right side triangle, we are looking for angle Θ. We know the opposite leg, 16.2 cm and the hypotenuse, 18.6 cm.

sin Θ = opp/hyp

sin Θ = 16.2/18.6

sin Θ = 0.8698

Θ = sin^-1 0.8698

Θ = 60.4°

From A draw AG // BC cuts CD at WO

We have: Trapezoid ABCD (assumption)

⇒ AB // CD

⇒ AB // GC (because G ∈ CD)

Considering quadrilateral ABCG, there are:

AB // GC (proven above)

AG // BC (assumption)

⇒ Quadrilateral ABCG is a parallelogram

⇒ AB = GC = 40 cm

AG = BC = 50 cm

We have: DG = CD - GC (because G ∈ CD)

DG = 80 - 40

⇒  DG = 40(cm)

Considering ΔAGD, there are:

AG2=AD2+DG2AG2=AD2+DG2

502=302+402⇒502=302+402

⇒502=900+1600⇒502=900+1600

502=2500⇒502=2500

⇒502=502⇒502=502

⇒ AGD square at D

⇒ Trapezoid ABCD is a square trapezoid

Answer:

8.37 cm rounded

Step-by-step explanation:

C = 2π r

C = 2π (8)

C = 16 π

C = 50.24

1/6 ( 50.24)= 8.37

Answer:

$1200

Step-by-step explanation:

We can use an equation to solve the problem

Given x the price of the the video player :

x + 0.125x = 1350

1.125x = 1350

x = 1350/1.125 = 1200

The graph of the system of equations:

Is the one in the bottom right.

Here we want to see which graph represents the system of equations:

So we have a linear equation that crosses the y-axis at y = 1, and a parabola that crosses the y-axis also at y = 1 (you can verify that by evaluating both equations in x = 0).

Only with that, we can conclude that the correct graph for the system of equations is the last one (bottom right graph)

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

y=-5cos(pi/8(x+2))-21

Step-by-step explanation:

y=acos(b(x-c))+d

Let's find the max and then the min first. We are aiming to find the amplitude, a, which is the half the distance from the max to the min.

Max is y=-16

Min is y=-26

a=(-16--26)/2=-8--13=5

a could also tell us if y=cos(x) has been reflected about the x-axis if it is -5, which it looks like it has considering cos(0)=1 not -1.

I'm looking at the point (-2,-26) which is the lowest point of our curve and comparing it to our high point of (0,1) on y=cos(x).

So far we have, y=-5cos(b(x-c))+d.

Let's look at d, vertical shift. The average of our max and min is (-26+-16)/2=-13-8=-21.

So our vertical shift is d=-21.

So now equation is y=-5cos(b(x-c))+-21.

Now since we are using (-2,-26) as our (0,1) point on y=cos(x) then c=-2.

So now equation is y=-5cos(b(x--2))+-21

Now we are going to plug in a point haven't mentioned to find b. So looking at graph I will use (6,-16).

-16=-5cos(b(6--2))+-21

Add 21 on both sides:

5=-5cos(b(6--2))

Divide both sides by -5:

-1=cos(b(6--2))

Simplify inside:

-1=cos(b8)

Multiplication is commutative:

-1=cos(8b)

8b=pi * cos(pi)=-1

b=pi/8

The equation is

y=-5cos(pi/8(x--2))+-21

Simplify:

y=-5cos(pi/8(x+2))-21

Answer:

The ratio 15 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 15 :

15 : 60 = 1 : 4

basically 1/4

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

9y - 3 =69

y= 8

5x+2 = 42

5x= 40

x=8

Answer:

x = -1

Step-by-step explanation:

the equation of the axis of symetry =>

x = -1

We have to find,

The equation of the axis of symmetry.

The answer will be,

→ x = -1

Therefore, this is the equation.

Answer:

x1 y1 x2 y2

3 -1 -8 0

ΔY 1

ΔX -11

slope= - 1/11

B= - 8/11

Step-by-step explanation:

Answer:

slope is -1/11

Step-by-step explanation:

Given:

If you divide any natural number n by 4, you get a remainder r.

To find:

The values of r if [tex]n=13;34;43;100[/tex]. Also find the domain and range.

Solution:

It is given that any natural number n by 4, you get a remainder r.

[tex]\dfrac{n}{4}=q+\dfrac{r}{4}[/tex]

Where, n is a natural number, q is quotient, r is the remainder.

For [tex]n=13[/tex],

[tex]\dfrac{13}{4}=3+\dfrac{1}{4}[/tex]

So, [tex]r=1[/tex].

For [tex]n=34[/tex],

[tex]\dfrac{34}{4}=8+\dfrac{2}{4}[/tex]

So, [tex]r=2[/tex].

For [tex]n=43[/tex],

[tex]\dfrac{43}{4}=10+\dfrac{3}{4}[/tex]

So, [tex]r=3[/tex].

For [tex]n=100[/tex],

[tex]\dfrac{100}{4}=25+\dfrac{0}{4}[/tex]

So, [tex]r=0[/tex].

Therefore, the required value are [tex]r=1,2,3,0[/tex] if [tex]n=13;34;43;100[/tex] respectively.

The domain of the function is [tex]\{13,34,43,100\}[/tex] and the range of the function is [tex]\{1,2,3,0\}[/tex].

Answer:

25

Step-by-step explanation:

To solve this problem, you can use the pythagorean theorem, which is a^2 + b^2 = c^2 where a and b are legs and c is the hypotenuse. We can plug in the values of 15 and 20, and solve for c:

15^2 + 20^2 = c^2

225 + 400 = c^2

625 = c^2

c = 25

This means the hypotenuse is 25.

Answer: 120 Miles

Step-by-step explanation:

2 x 60 = 120

Answer:

Travels 2hours Speed 60mph

it would be 60 + 2 = 62

I hope this helps you!

XoXo Mashayla

Step-by-step explanation:

Answer:

its letter a

Step-by-step explanation:

I hope you help

Step-by-step explanation:

2x+42⁰=180⁰

2x=180⁰- 42⁰

2x= 138⁰

x= 138⁰/2

x= 69⁰

Answer:

not true

Step-by-step explanation:

i just wants points mate

Answer:

Step-by-step explanation:

The ratio of its areas is equal to

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is equal to the ratio 10:3

Let

z-------> the scale factor

so

z2=(10/3)2=100/9

Answer:

mee:)

Step-by-step explanation:

f;kn ef

Answer:

83 times.

Step-by-step explanation:

n + 3n + 8n = 240

12n = 240

n = 20.

So we have 20 reds in 240 spins

So by proportion the number expected in 1000 spins

= 20 * 1000/240

= 1000/12

= 83 1/3

So its 83 reds.

Answer:

4/6

Step-by-step explanation:

8/6 + 4/6 = 12/6

12/6 = 2.

Answer:

[see below]

Step-by-step explanation:

"Two-Fifths of a number is 48."

(2/5)n = 48

((2/5n)(5/2) = 48 *(5/2)

n = 120

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

120 * (3/4) = 90

Hope this helps you.