Choose yes or no to tell whether there is more than one way to draw a triangle with the given measures



AB= 15 cm, BC=20 cm, angle B=40 degrees



AB=20 cm, AC=15 cm, angle c=40 degrees



BC=10 cm, AB=5 cm, angle A=20 degrees



AC=5 cm, BC=10 cm, AB=14 cm

Answers

Answer 1

Question:

1)  AB = 15 cm, BC = 20 cm, angle B = 40°

2) AB = 20 cm, AC = 15 cm, angle c = 40°

3) BC = 10 cm, AB = 5 cm, angle A = 20°

4) 5 cm, BC = 10 cm, AB = 14 cm

Answer:

1) No: SAS

2) Yes: SSA

3) Yes: SSA

4) No: SSS

Step-by-step explanation:

To answer the question, we note that a well defined triangle or unique provides information for;

a. SSS All three sides

b. Side Angle Side, SAS Two sides and the included angle(the angle between the two sides), such that there is only one way to draw the triangle

c. Angle Side Angle, ASA and

d. Angle Angle Side, AAS

We analyse each option as follows

1) AB = 15 cm, BC = 20 cm, angle B = 40°

No:

The provided information includes two sides and the angle between the two sides, therefore there is only one way to draw the triangle

2) AB = 20 cm, AC = 15 cm, angle c = 40°

Yes

Here the provided information are SSA hence there are more than one way to draw the triangle

3) BC = 10 cm, AB = 5 cm, angle A = 20°

Yes

Here the provided information are Angle Side Side hence there are more than one way to draw the triangle

4) 5 cm, BC = 10 cm, AB = 14 cm

No

Here the provided information is SSS hence, there is only one way to draw the triangle


Related Questions

Which shows how to determine the volume of the pyramid? A square pyramid with a base of 3 meters by 3 meters and a height of 5 meters. V = one-third (3) (3) (5) V = one-half (3) (5) V = one-half (3) (3) (5) V = one-third (3) (5)

Answers

Answer:

V=one third (3)(3)(5)

Step-by-step explanation:

I got it right.

Answer:

A.

V=one third (3)(3)(5)

Step-by-step explanation:

the guy above has good reviews lol

35 points!!!!!!!
....................................

Answers

Answer:

Step-by-step explanation:

1. We know that the 2 lines are not parallel. If they were, it would be marked on the graph. Therefore, corresponding angles (5 and 6 in this case) are not equal.

2. Angles 1 and 2 are corresponding angles, and because the 2 lines are parallel, they must be equal. Therefore, ∠1 = ∠2 = 60°.

3. Some real-life examples of parallel lines could be the shelves of bookcases or the painted lines in a parking lot. I hope this helps you.

I do apologize for wasting your points because I’m not answering your question, but this is just for the person to get Brainliest. Hopefully in the future I can repay you back by actually answering one of your questions. Correctly at that.

Which could be the area of the base of the triangular prism?
5 ft
3 ft
5 ft
4 ft
INot drawn to scalel

Answers

Answer:28.62

Step-by-step explanation:

AB=s(s﹣a)(s﹣b)(s﹣c)

V=ABh

s=a+b+c

2

Solving forV

V=1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=1

4·4·﹣54+2·(5·3)2+2·(5·5)2﹣34+2·(3·5)2﹣54≈28.61818

The area of a base of the triangular prism is 20 square feet.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

From the given figure, the dimensions of the base are 4 ft and 5 ft.

Here, the base is rectangle

We know that, the area of a rectangle is Length×Width

= 5×4

= 20 square feet

Therefore, the area of a base is 20 square feet.

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If cde is a straight angle, de bisects gdh, m gde = (8x-1), m edh = (6x-15), and m cdf= 43, find each measure.

Answers

Answer:

x = 7°

<GDH = 112°

<FDH = 192°

<FDE = 135°

Step-by-step explanation:

If DE bisects <GDH this means that <GDE = <EDH

Given <GDE = (8x+1)° and <EDH = (6x+15)° then;

8x+1 = 6x+15

8x-6x = 15-1

2x = 14

x = 7°

Since <GDH = <GDE + <EDH

<GDH = 8x-1+6x+15

<GDH = 14x+14

<GDH = 14(7)+14

<GDH = 98+14

<GDH = 112°

For <FDH,

Note that sum of angle on a straight line is 180°

<FDH = <FDG + <GDE + <EDH

<FDH = <FDG + <GDH

<FDG = 180-(43+8x+1)

<FDG = 180-44-8x = 136-8x

<FDH = 136-8x+112

<FDH = 248-8x

<FDH = 248-8(7)

<FDH = 248-56

<FDH = 192°

For <FDE;

<FDE = <FDG + <GDE

<FDE = 136-8x+8x-1

<FDE = 135°

Gerry ran 3/8 of a mile on Monday. He ran 5/8 of a mile on tuesday he ran 1/2 mile on Wednesday how many miles in all did Gerry run

Answers

1 and 1/2 miles in total

What is the surface area of this design?
6 in.
360 in2
392 in2
4 in.
280 in2
10 in.
4 in.
76 in2
6 in.

Answers

Answer:

392

Step-by-step explanation:

I got it correct! :)

The surface area of the design is 392 square inches.

The correct option is B.

What is cuboid?

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

Given:

The shape is a cuboid.

The surface area of the cuboid,

= 2lw+2lh+2hw,

where l is the length, w is the width and h is the height.

The height of the upper cuboid,

= 10-4 = 6 inches.

The surface area of the upper cuboid,

= 2lw+2lh+2hw

= 2(36) + 2(36) - 2(36)

= 144 square inches.

The surface area of the lower cuboid,

= 2lw+2lh+2hw

= 2(40) + 2(24) + 2(60)

= 248 square inches.

The total surface area,

= 392 square inches.

Therefore, the surface area of the design is 392 square inches.

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Please help fast.............................

Answers

1.38 is the mean of the amount of rainfall over the course of the week

Answer:

1.4 inches (1 decimal place)

Step-by-step explanation:

To calculate the mean you get the sum of all the terms required and divide by the number of terms you summed up.

All of the terms in the table sum up to 29/3. 29/3 divided by 7 (number of days in a week) = 1.3809..., which you can round to 1.4 inches

2. 8 w-12 = -4

need sum help​

Answers

Answer:

Sum: 8w-8

Value of w: w= 1

Step-by-step explanation:

A telephone pole stands 20 feet tall. A wire extending from the top of the pole to the ground is 25 feet long. What is the distance from the bottom of the pole and the spot where the wire is attached to the ground?

Answers

It’s 15 because of Pythagorean theorem. 25 squared minus 10 squared is 15 squared.

9x^3y^6/xy^6
Solve using only positive exponents

Answers

Look at the attached picture

Hope it will help you...

Good luck on your assignment

How many whole numbers are less than n+1

Answers

Answer:

[tex]n[/tex].

Step-by-step explanation:

Assuming that [tex]n \in Z^{+}[/tex], then all number less than [tex]n+1[/tex] are

[tex]n+1-1=n[/tex]

Notice that the "plus one" indicates that the whole number shown by the expression [tex]n+1[/tex] indicates a whole number greater than [tex]n\\[/tex] by one unit. So, we just subtract one whole unit to achive a number less than the given expression.

Therefore, the answer is [tex]n[/tex].

I need help with this question geometry I been struggling with this all time and it is due by 8;00pm please help me I am stress and I can’t take it no more I give up so please help me and I give you brainlist

Answers

Answer:

V(3,-5) F(0,-1) Y(-2,-3)

Step-by-step explanation:

V (0,0)

0x+3x=3x

0y-5y=-5

V= (3,-5)

you apply that to all the cords to get the new points.

1. Given the polynomial below, which shows the
terms in standard form?
5m2n + 9n3 – mn2 + 2m3

A. 2m3 + 9n3 + 5m2n - mn2
B. 9n3 + 5m2n + 2m3 - mn2
C. 2m3 + 5m2n - mn2 + 9n3
D. 9n3 – mn2 + 5m2n + 2m3

Answers

A. 2m3 + 9n3 + 5m2n - mn2

Part 2 to my last question, help!

Answers

The tree is 6*20/4=30 feet tall.

Explanation:
The ratio between the '4 feet' and the '20 feet' is the same as the ratio between his height and the height of the tree. So if we take his height and multiply it by 20/4, we get the height of the tree.

HHHH HHHT HTHH HHTT HHTH HTHT HTTH HTTT TTTT TTTH THTT TTHH TTHT THTH THHT THHH What is the probability that at least three coins land facing tails up?

Answers

Answer:

5/16

Step-by-step explanation:

As you can see in the 16 given possible outcomes, in 5 of them at least 3 coins land facing up. Since there are 16 outcomes in total, the probability that at least three coins land facing up is 5/16. Hope this helps!

help me please :////

Answers

Answer:

Perimeter = 55.1 ft

area = 236.625 ft2

Step-by-step explanation:

radius = 15 / 2 = 7.5

Perimeter = perimeter of 2 half circle + 4+4

                = perimeter of 1 circle +4 +4

                = 2*7.5* pi + 4 + 4 = 55.1 ft

area = area of 2 half circle + area of 1 rectangle

        = area of 1 circle + area of 1 rectangle

        = pi *7.5*7.5 +4*15

        = 236.625 ft2

What percentage of 50 is 10

Answers

Answer:

The answer is 20%.

Step-by-step explanation:

10/50= 10 divided by 50=.2

.2 times 100 (because percentages are out of 100) = 20

20% is your answer

A 14-ounce energy drink contains 10.5 ounces of sugar. How much sugar is in one ounce of the drink?

Answers

Answer:

0.75 ounces per ounce of drink

Step-by-step explanation:

10.5/14

Answer:

0.75 oz of sugar

Step-by-step explanation:

If 14 oz contains 10.5 oz sugar

1 oz will contain 10.5/14 = 0.75 oz of sugar

Solve the following quadratic equation:
(3x – 5)2 = 4

Answers

Answer:

Step-by-step explanation:

It is mandatory (required) to use " ^ " for exponentiation:

(3x – 5)^2 = 4

Taking the square root of both sides, we get

3x - 5 = ±2, or

3x = 5 ±2, or

(a) 3x = 7 => x = 7/3, and

(b) 3x = 3, or x = 1

X/12 = 3/9 what does x equal and how did you get the answer

Answers

Answer:

4

Step-by-step explanation:

You can cross multiply.

first i would simplify x/12=3/9 to x/12=1/3

so then it would be equal to x*3=1*12

then i would simplify it to 3x=12

then you solve for x and i would get 4

Answer:

x = 4

Step-by-step explanation:

[tex]\frac{x}{12} =\frac{3}{9} \\[/tex]

Simplify [tex]\frac{3}{9} = \frac{1}{3} \\[/tex]

What is a third of 12?

4

x = 4

Set up and solve an equation to find the value of . List the relevant angle relationship in the diagram. Find the measurement of one of the vertical angles.

Answers

Answer:

x = 33°

Step-by-step explanation:

Take a look at the attachment below, and you will see that x = 33°

Find the distance between the points given. (-3, -6) and (3, 2) 4 10

Answers

Answer:

10

Step-by-step explanation:

The distance between the points  (-3, -6) and (3, 2) is  10 units.

What is the distance formula between two points?

The distance formula between two points (x₁, y₁) and (x₂, y₂) is given by,

D = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1_)^2[/tex].

Given, We have to determine the distance between the points (- 3, - 6) and (3, 2).

Let, (x₁, y₁) is (- 3, - 6) and (x₂, y₂) is (3, 2).

Therefore,

D = [tex]\sqrt{(3 + 3)^2 + (2 + 6)^2[/tex].

D = [tex]\sqrt{(6)^2 + (8)^2[/tex].

D = [tex]\sqrt{(36 + 64)[/tex].

D = [tex]\sqrt{100}[/tex].

D = 10 units.

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Solve for x*3=8/125

Answers

Answer:

Step-by-step explanation:

[tex]x^{3}=\frac{8}{125}\\\\x^{3}=\frac{2*2*2}{5*5*5}\\\\x^{3}=\frac{2^{3}}{5^{3}}[/tex]

Take cube root,

[tex]x=\frac{2}{5}[/tex]



The volume of the
solid shown is:
A 61.4 cm
B 268.2 cm
C 307 26 cm
D 142.25 cm

Solution:​

Answers

Answer:

the answer is D

Step-by-step explanation:

to find the volume just multiply L x W56.9 x 2.5 = 142.25so the answer would be 142.25 cm

WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER

Answers

Answer:

I believe the answer is 1

Step-by-step explanation:

Answer:

The answer is either 4 or 1. ( I am quite sure of it ).

Step-by-step explanation:

Because I've got it in my maths book

What’s sample space?

Answers

Answer:

sample space is the range of values of a random variable.

Step-by-step explanation:

What is the value of x

Answers

Answer:

x=9.5

Step-by-step explanation:

In order to find the answer, we know that 6x + 4x - 5 = 90

Next we want to combine like terms: 10x - 5 = 90.

Now we have to add 5 to 90 in order to get x on its own.  10x = 95

Now solve for x by dividing 95 by 10: x=9.5

It number 90 on it because the length

A restless point moved from point 12 to the left at the speed of 5 6 units per minute. Where will it be in 10.2 minutes?

Answers

Step-by-step explanation:

This problem is very easy if you think about it!

12 to the left if negetive to if you move to the left your subtracting.

If your moving at a speed of [tex]5/6[/tex] per minute where will you be in 10.2

minutes?

EASY

[tex]5/6[/tex] × 10.2=8.5

Now all we need to do is subtract 8.5 from 12.

12-8.5= 3.5

Therefor the answer is...

Answer: 3.5

Diana is making a mosaic pattern that uses 2 blue tiles for every 5 white tiles. How many blue tiles does she need if she has 60 white tiles

Answers

Answer:

The answer is 30

A car is traveling at a constant velocity. After two hours the car has traveled 110 miles.
After four hours the car has traveled 220 miles. Assuming a linear equation fits this
situation, find the distance that the car will travel after five hours.

Answers

Answer:

As the velocity is constant,

Distance covered in n hours = n × distance covered in 1 hr

Distance covered in 7 hrs = 7 × 110 = 770 miles

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