How many non-congruent triangles can you draw with the given properties? a. Sides measuring 7 inches, 8 inches, and 16 inches b. Sides measuring 4 inches, 4 inches, and 6 inches c. Angles measuring 30°, 60°, and 90° d. Three angles measuring 120° e. Two angles measuring 45° and one side length measuring 10 inches

Answers

Answer 1

Answer:

The answers are;

a. None

b. None

c. Infinite

d. None

e. None

Step-by-step explanation:

The number of non congruent triangles that can be drawn depends on the uniqueness of the triangle

The parameters of a unique triangle are;

Knowing the Side Side Side (SSS)

Knowing the Side Angle Side (SAS)

Knowing the Angle Side Angle (ASA)

Knowing the Angle Angle Side (AAS)

However, knowing only the Side Side Angle it is possible to draw two non-congruent triangles

Therefore, considering each of the triangles gives;

a. Sides 7 inches, 8 in., and 16 in. which is of the form SSS hence the triangle is well defined and it is not possible to draw two non-congruent triangle with the provided properties

b. Similarly, the given triangle parameters are 4 in., 4 in., and 6 in. which is of the form SSS hence the triangle is well defined and it is not possible to draw two non-congruent triangle with the provided information

c. The parameters of the triangle given here are angles 30°, 60°, and 90° which is of the form Angle Angle Angle, or AAA for which the sides can be scaled to form an infinite number of non-congruent triangles

d. The parameters given are three angles measuring 120° which does not form a triangle as the sum of triangles in a triangle = 180°

Hence the number of non-congruent triangles that can be drawn in this case = 0

e. The parameters given are two angles measuring 45° and one side length of 10 in., hence the parameter is of the forms AAS or ASA hence the triangle is unique and it is not possible to draw two non-congruent triangle with the provided properties.


Related Questions

hey can anyone pls help me out in dis!!!!!!!!!

Answers

Answer:

Look at the attachment

Mrs. Rodriguez bought 3 tickets for a concert. She also paid for a poster at the concert. Mrs. Rodriguez paid a total of $102 for the tickets and the poster. The equation 3t + p = 102 can be used to find p, the amount Mrs. Rodriguez paid for the poster. If Mrs. Rodriguez paid $29 for each ticket, t, then how much did she pay for the poster

Answers

Answer:

15

Step-by-step explanation:

102-(29 x 3)

Answer:

p=15

Step-byexplanation:

3t+p/102

3(29)+p=102

87+p=102

p=15

Farmer Bob's daughter wanted to put carpet in her goats pen. The pen is 12 feet wide and 12 feet long. How many square feet of carpet does she need for the pen

Answers

Answer:

She would need 144 square feet of carpet.

Step-by-step explanation:

Since the pen is 12 feet by 12 feet you would multiply 12 by 12 for your answer of 144 square feet.

what is the solution of this equqtion? -7y -3=11​

Answers

Answer:

y = -2​

Step-by-step explanation:

-7y -3=11​

Add 3 to each side

-7y -3+3=11+3

-7y = 14

Divide by -7

-7y/-7 = 14/-7

y = -2​

Answer:

Hello,

y = -2

Step-by-step explanation:

-7 y - 3 = 11​ ⇔ -7 y - 3 + 3 = 11 + 3 ⇔ -7 y = 14 ⇔ y = 14 / -7 ⇔ y = -2

You roll a fair 6-sided die. what is the probability rolling greater than 4

Answers

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when you roll this die: 1,2,3,4,5 and 6. Of these, only 5 and 6 are greater than 4, which is 2 successful outcomes. Probability is successful outcomes/total outcomes = 2/6 = 1/3. Hope this helps!

Sarah, Natasha and Richard share some sweets in the ratio 5:2:3. Sarah gets 75 sweets. How many more sweets does Richard get over Natasha?

Answers

Answer:

Richard gets 15 more sweets than Natasha.

Step-by-step explanation:

Given that the ratio of Sarah's sweets is 5 and she has 75 sweets. So firstly, you have to find out how many sweets in a ratio of 1 :

Let ratio be units,

[tex]5 units = 75 sweets[/tex]

[tex]1 unit = 75 \div 5[/tex]

[tex]1 unit = 15 sweets[/tex]

Now we have to find how many sweets does Natasha and Richard has :

Richard (ratio of 3),

[tex]3 units = 15 \times 3[/tex]

[tex]3 units = 45 sweets[/tex]

Natasha (ratio of 2),

[tex]2 units = 15 \times 2[/tex]

[tex]2 units = 30 sweets[/tex]

In order to find how many sweets Richard has more than Natasha, you have to substract :

[tex]45 - 30 = 15 sweets[/tex]

Answer:

15

Step-by-step explanation:

the answer is 15

someone be a real one and finish this... plz

Answers

Answer:

y + 21 = - 4(x - 7)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (7, - 21) and (x₂, y₂ ) = (- 4, 23)

m = [tex]\frac{23+21}{-4-7}[/tex] = [tex]\frac{44}{-11}[/tex] = - 4

Using m = - 4 and (a, b) = (7, - 21), then

y - (- 21) = - 4(x - 7), that is

y + 21 = - 4(x - 7)

It costs 31.25 for 1 box of candy and 4 large bags of popcorn at a movie theatre. For 3 boxes of candy and 5 large bags of popcorn it costs 46.50 how much does 1 bag of popcorn cost

Answers

Answer:

$6.75

Step-by-step explanation:

$31.25 = C + 4B C for box of candy and B for large bags of popcorn

$46.50 = 3C + 5B

3($31.25 = C + 4B)

$93.75 = 3C + 12B

-46.50. -3C. -5B

$47.25 = 7B

÷7. ÷7

$6.75. = B

Which box plot represents the data above?


W.
X.

Y.
Z.

Answers

Answer:

where's the data

Step-by-step explanation:

Dilate the segment about the origin by a scale factor of 1 /2 What are the coordinates of B'? please help

Answers

Answer:

(1,-2) edge2020

Step-by-step explanation:

Answer:

(1,-2)

Step-by-step explanation:

got it right on edge

what is the slope of the line 7x+2y=5

Answers

Answer:

slope = -7/2x

Step-by-step explanation:

you can solve the equation in order to make it slope-intercept form.

7x + 2y = 5

2y = -7x + 5

divide everything by 2

it becomes y = -7/2x + 5/2

The required slope of the line is m = -7 / 2.

What is a Line??

A line can be defined by the shortest distance between two points is called a line.

Method 1

7x + 2y = 5
Rearranging the equation in the standard form of the equation of a line
y = mx + c
where m is the slope of the line and c is the intercept of the line.
7x + 2y = 5
2y = -7x + 5
y = -7x/2 + 5  - - - - - -(1)
Comparing equation 1 with the standard form of the equation
m = -7/2 and c = 5

Method 2
Differentiate the given equation, with respect to x
d/dx (7x + 2 y) = d/dx (5)
7 + 2dy/dx = 0
dy/dx = -7/2
Slope = dy/dx = -7/2

Thus, the required slope of the equation is m = -7/2

Learn more about lines here:

brainly.com/question/2696693

#SPJ2





I need more help please!!! Will give brainliest! I only need b c and d done please!

Answers

Answer:

Step-by-step explanation:

i don’t know the rest but i know b is 144

Answer:

B) 144 seats would be full

   Work: 72% x 200 = 144

C) the cost would be $5.4

   Work: 4.5 × 20 / 100 = 0.9

               4.5 + 0.9 = 5.4

D) 24% of the 25 different candies

  Work: 6/25 = 0.24

             Move the decimal point 2 places to the right and add

              the percent sign %.

              0.24 becomes 24%

hope this helps

20POINTS AND I WILL MARK BRAINLIEST!!!! ANSWER AND EXPLAIN

Answers

Answer:

72 degrees

Step-by-step explanation:

A pentagon has five lines of symmetry. For rotation symmetry, the order of any regular polygon is the number of sides. The angle of rotation would be 360 degrees divided by that order. Therefore, the answer is 72 degrees.

What is the solution to the system of equations below? x + 3 y = 15 and 4 x + 2 y = 30

Answers

Answer:

X=6 y=3 point form (6,3)

Step-by-step explanation:

Answer:

6,3

Step-by-step explanation:

I just took the test and got 100%

Howard is designing a chair swing ride. The swing ropes are 4 44 meters long, and in full swing they tilt in an angle of 2 3 ∘ 23 ∘ 23, degrees. Howard wants the chairs to be 3.5 3.53, point, 5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.

Answers

Question:

Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.

Answer:

7.18 meters

Step-by-step explanation:

Given:

Length of rope, L = 4 m

Angle = 23°

Height of chair, H= 3.5 m

In this question, we are to asked to find the height of the pole of the swing ride.

Let X represent the height of the pole of the swing ride.

Let's first find the length of pole from the top of the swing ride. Thus, we have:

[tex] cos \theta = \frac{h}{L} [/tex]

Substituting figures, we have:

[tex] cos(23) = \frac{h}{4} [/tex]

Let's make h subject of the formula.

[tex]h = 4cos(23) = 3.68 [/tex]

The length of pole from the top of the swing ride is 3.68 meters

To find the height of the pole of the swing ride, we have:

X = h + H

X = 3.68 + 3.5

X = 7.18

Height of the pole of the swing ride is 7.18 meters

Find the volume of the cylinder. Use 3.14 for . Round your answer to the nearest tenth
8in
10in
a.502.4 in3.
b.125.6 in3.
c.2009.6 in3.
d.251.2 in3.

Answers

Answer:

the answer would be A

Step-by-step explanation:

Answer:

answer is a

Step-by-step explanation:

I just answer it on edge

ok, im failing math rn so plz help​

Answers

Answer:

-3/4

Step-by-step explanation:

Point A is at (-4,3) and Point B is at (4,-3)

The slope is at

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

   = (-3 -3)/(4 - -4)

   = (-3-3)/(4+4)

    = -6/8

     = -3/4

A pilot is flying a plane 20000 ft above the ground.The pilot begins a 2 descent to an airport runway.How far is the airplane from the start of the runway(in ground distance)

Answers

Answer:

381623 ft

Step-by-step explanation:

Since the airport altitude is 20000 ft and the pilot needs a 2° descent, to calculate the distance of the airplane at the start of this approach, first this is represented in the diagram attached. The distance from the runway at the start is x.

[tex]tan(3) = \frac{20000}{x} \\x=\frac{20000}{tan(3)} \\x=381623ft[/tex]

The airplane is at a distance of 381623 ft away from the airplane runaway at the start of the descent.

put these fractions in order of size, smallest to largest 1/3 2/5 3/8

Answers

Answer:

3/8, 2/5, 1/3

Step-by-step explanation:

From smallest to largest is 3/8 2/5 1/3

How many total atoms are in 3 molecules of CO2 (carbon dioxide)?

Answers

Answer:

9

Step-by-step explanation:

there are 3 atoms in one co2 molecule. 3 x 3=9

Answer:

in three molecules of CO2 there are:

3 Carbon Atoms and 6 Oxygen Atoms

If your looking for the atoms in ONE molecule then there is:

One Carbon Atom and Two Oxygen Atoms

A football team has P points.

P = 3W + D

W is the number of wins

D is the number of draws

If a team has 53 points from 33 games, with 11 draws, how many games did the team lose

Answers

Answer:

They must have lost 19 games.

Step-by-step explanation:

If you plug in 53 into the equation, you get 53 = 3w + 11. You subtract 11 from both sides, resulting in 42 = 3w. You divide 3 from both sides this time, resulting in 14 = w. Since W is the number of wins, and you're trying to figure out games lost, you subtract 14 from the number of games played, so 33-14 is equal to 19.

what will happen to the volume of a cylinder if the length if the height is tripled?

A. Double
B. Stay the same
C. Triple
D. 9 times as large

Answers

Answer:

Triple

Step-by-step explanation:

V = π * r^2 *h

h is directly proportional to V so when h increases V increases.

This is a linear relationship so if h is tripled the volume will be tripled as well.

if r tripled then V would be 9 times as large since r has a square relationship with V.

If you're unsure about these just plug in number r= 2, h= 4, and perform the operation they ask you to do (triple or double) and you'll always get it right.

Write the equation of the line with the following characteristics: A slope of 4 through the origin.

Answers

Answer:

Payton, our equation looks like y = mx + b with m being the slope and b being the y-intercept. We are given a slope of 3, and if the graph passes through the origin, the y-intercept is 0.

Step-by-step explanation:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.

Use Heron’s Formula, that is, the area of a triangle is , where the triangle contains sides a, b and c and to find the area of the triangle with side lengths: .a=7/2 b=4/3 c=9/4

Answers

Answer:

Area: T = 0.649

Step-by-step explanation:

Sides: a = 3.5   b = 1.333   c = 2.25

Find the area. The figure is not drawn to scale.
1.
36 in.
40 in.
33 in.
-

Answers

Answer: 47,520

Step-by-step explanation: 36 times 40 times 33

identify the slope and y-intercept of the function y=11x+6

Answers

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Find the values of m and b using the form y=mx+b y = m x + b . The slope of the line is the value of m , and the y-intercept is the value of b .

Step-by-step explanation:

Answer:

let me see what i can do

Step-by-step explanation:

isolate the variable by dividing each side by factors that don´t contain the variable x = - 4/11 + 6/11

Can the distributive property be used to rewrite
6 x (8 - 4) ?
Yes
No
If yes, fill in the blanks below.
6 x
8 -
(OⓇD) - (x)

Answers

Answer:

I think No

Step-by-step explanation:

The mk family orchard has 120 apple trees and 90 pear trees. If each fruit tree produces an average of 590 pounds of fruit per year, about how many pounds of fruit can the orchard produce in one year

Answers

Answer & Step-by-step explanation:

If each fruit tree produces an average of 590 pounds of fruit, then that means we are going to multiply. For the apples, we are going to multiply 120 by 590. For the pears, we are going to multiply 90 by 590. After we multiply these numbers, we are going to add the products so we can find the total amount of pounds of fruit.

Apples:

120 × 590 = 70800

Pears:

90 × 590 = 53100

Now, we add 70800 to 53100.

70800 + 53100 = 123900

So, the orchard produces 123900 pounds of fruit in one year.

How do you solve 15 less than or equal to
3 - 4s

Answers

Answer:

-3 is greater than or equal to s

Step-by-step explanation:

subtract 3 on both sides

then get s by itself by dividing by -4 on both sides (bc you are dividing by a negative the sign flips)


A monomial of the 2^{\text{nd}}2
nd
2, start superscript, start text, n, d, end text, end superscript degree with a leading coefficient of 333

Answers

Answer:

Possible monomials: 3x² and 3xy

Step-by-step explanation:

We are asked to find a monomial of the 2nd degree with a leading coefficient of 3.

A monomial is a polynomial with only one term. This monomial has to be of 2nd degree, that is, if only one variable is present, the exponent of it is 2, like in x² or y²; but if two variables are present, the exponent of each one is one, so that, the degree is still two, like in xy (degree = 1 + 1 = 2)

In a monomial there is only one coefficient, the leading coefficient, which is the multiplicative factor of the variables. Then, with one variable, the monomial is 3x², and with two, it is 3xy

Answer:

3n^2 is the answer

Step-by-step explanation:

Khan academy lol

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(For example, 10.578 would round to 10.6)Question 2Find the height of the tree to the nearest whole meter using the two similar triangles below. (For example. 10.573 m30 mPlease answer fast thank you The developments described in the excerpt most directly reflect which of thefollowing changes in the 1920s? "The Model T was the car of the century,transforming motoring for millions. Its cheapness and flexibility meant that thecar became less of a symbol of wealth and leisure than an affordable adjunct tothe everyday life of even the humblest worker. And the key to its cheapness wasits revolutionary production method."-Source: Steven Parissien, historian. TheLife of the Automobile: The Complete History of the Motor Car, 2013 *A. the development of highwaysB. the spread of regional culturesC. the rise in consumerismD. the promotion of free trade 2/3 divided by 1 1/2