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.

Answers

Answer 1

Answer:

Basically if you know side-angle-anlge, you can determine the third angle by

3rd angle = 180 - angle 1 - angle2

In this way, you are using the Angle-Side-Angle method of congruence.

Step-by-step explanation:

Answer 2

Answer:

In this case SAA is a valid means for establishing triangle congruence. You can see in the following image. The triangles are the same, in other words congruent. How I figured it out was by making a random triangle (ABC) then finding the lengths and angles.  From there, I picked a random side (AB) and angles (A) and (B) after I transferred the information I had and put it into a new triangle. Using this formula to determine the third angle: 3rd angle (C = 45*) = 180* - angle A (45*) - angle B (90*). From there, I looked for where line (BC) and (CA) would connect. Leaving me with two congruent triangles.


Related Questions

state the slope of the line y = 3x -7

Answers

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)

(4 x 10 ^ 7) ÷ (8 x 10 ^ 4) in standard form PLZ ANSWER QUICK

Answers

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]

How many solutions does-3x = -x – 2x have?

Answers

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 ASAP ILL MARK BRAINLIEST!!! if the vertex of a parabola is (-1,-9) what is the equation of the axis of symmetry?​

Answers

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.

please help!! i have no idea!

Answers

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°

The second hand on a clock is
8 cm long.
What is the distance the tip of the second hand travels in 10 minutes?

Answers

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

Y=1/3mx^3 – (m–1)x^2 + 3(m–2)x +1/3

Answers

Answer:

not true

Step-by-step explanation:

i just wants points mate

Two similiar rectangles have corresponding sides in the ratio 10:3. What is the ratio of their areas

Answers

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

what is the value of s in the equation 3r=10+5s when r= 10

Answers

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.

Ramu has to pay 12.5% sales tax in addition to the price of a video player. if he pays 1350, then the price of the video player is________

Answers

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

Please help ASAP!!!!!What is the value of x?

Answers

Answer:

x=8

Step-by-step explanation:

9y - 3 =69

y= 8

5x+2 = 42

5x= 40

x=8

Answer:

x = 8

Step-by-step explanation:

(9y - 3) = 69

9y = 72

y = 8

••••••••••••••••

69 + 69 = 138
180 - 138 = 42

••••••••••••••••

5x + 2 = 42

5x = 40

x = 8

Plz help : ) I don't understand

Answers

Those are alternate interior angles.
Converse statement because usually one is told two lines are parallel first and then the alternate interior angles are congruent second.

A biased 3-coloured spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.
If you spin this spinner 1000 times, how many times do you expect it to land on Red?
(Hint: Find n first)

Answers

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.

Quanto falta para a fração 8/6 chegar a 2 inteiros? respondem rapido pfv

Answers

Answer:

4/6

Step-by-step explanation:

8/6 + 4/6 = 12/6

12/6 = 2.

Find the value of x in each case:

Answers

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

Which graph represents the system of equations?

y = -2x + 1

y = -2x^2 + 1


Plzz help, this locks tonight!

Answers

The graph of the system of equations:

y = -2x + 1y = -2x^2 + 1

Is the one in the bottom right.

Which graph represents the system of equations?

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

y = -2x + 1y = -2x^2 + 1

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

If you divide any natural number n by 4, you get a remainder r.
Find r if n=13; 34; 43; 100. What is the domain of the
function? What is the range?

Answers

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].

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLEASEEEE

Answers

Step-by-step explanation:

Angle UQN = Angle QNM, in alternate interior angle relation so Angle QNM will be x.Now we know that the angles inside a triangle sum up to give 180⁰,that is x+x+42⁰=180⁰

2x+42⁰=180⁰

2x=180⁰- 42⁰

2x= 138⁰

x= 138⁰/2

x= 69⁰

WILL GIVE BRAINLIST AND 30 POINTS!
Are the two figures similar? Explain why or why not. If similar, give the ratio of area & the ratio of volume.

Answers

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!

A car travels for 2 hours at an average speed of 60 mph.

Work out the total distance of the journey.

Answers

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:

help help help help help help help help help help help

Answers

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:

Write the ratio:
0.15
to
0.6
as a fraction in lowest terms.

Answers

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:

Which of the following is a statement? (a) The fishes are beautiful (b) Study mathematics. (c) x is a capital of country y. (d) Water is essential for health.​

Answers

Answer:

its letter a

Step-by-step explanation:

I hope you help

Brian can type 50 words per minute. He needs to finish typing his 700-word essay and already has 375 words typed. Write and solve an equation to determine the number of minutes (m) that it will take Brian to finish writing his essay. (Round your answer to the nearest tenth)

Answers

so the equation would be 50m + 375 = 700

i got this because we know that for every minute, m, he types 50 words. since he already has 375, we can just add that onto the 50m. those two combined, 50m + 375, must equal 700, so that is what the equation equals.

to solve for this, we first subtract 375 on both sides to get 50m = 325, then divide both sides by 50, and get that m = 6.5

If the two legs of a right triangle are 15 and 20, how long is the hypotenuse?

Answers

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.

A2 + B2 = C2 is the Pythagorean Theorem where A and B are the legs and C is the hypotenuse.

(15cm)2 + (20cm)2 = C2 after substitution

225cm2 + 400cm2 = C2 add

625cm2 = C2 Take square root of both sides

25cm = C which is the hypotenuse.

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
]

Answers

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:

URGENT! What is the equation of this graph? It is a cosine graph whose equation will fit into terms of y=acos(b(x-c))+d

Answers

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

Two-Fifths of a number is 48. What is 3/4 of the SAME number?
Need help urgently

Answers

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.

Cho hình thang ABCD(AB//CD) có AB=40cm CD=80cm BC =50cm AD=30cm cmr ABCD là hình thang vuông

Answers

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

(3x + 8)°
(5x – 20)
find the measure of the vertical angles

Answers

Answer:

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

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