3. Complete the sentence by choosing the proper option from the given choices.
There
with angle measures of 30°, 70°, and 80°.
A. is no triangle
B. is exactly 1 triangle
C. are exactly 2 triangles
D. are more than 2 triangles

Answers

Answer 1

Answer:

B. is exactly 1 triangle

Step-by-step explanation:

For any given triangle, the sum of the internal angles is [tex]180^{o}[/tex]. Thus from the given question, adding the given angles;

30° + 70° + 80° = [tex]180^{o}[/tex]

Therefore, only one triangle can be produced with the given measure of angles. This implies that there is exactly one triangle. So that the correct option is B.


Related Questions

What is the missing side length in the triangle below?

Answers

The missing length is 13.... by using Pythagoras theorem.. l hope it helped??

Triangle QRS is similar to triangle TUV.

Answers

Answer:

SQ/VT = QR/TU = SR/VU

hope it helps

I need help with circle similarity / scale factor. can someone please help me out?​

Answers

Answer:

A scale factor exists because any two circles are similar. You can use the radii to determine the scale factor.

Step-by-step explanation:

The ratio between the radii is 31 so the scale factor is 31=3. The circumference of the smaller circle is C=2π(1)=2π.

Helppppp me plzzzzz..........

Answers

Answer:

1705.25

Step-by-step explanation:

2004.00 - 168.25 = 1835.75

1835.75 - 130.5 = 1705.25

b Write down a decimal number between 20.22 and 20.23

Answers

Answer:

20.225

Step-by-step explanation:

Pascal wants to find the sum of the measures of the interior angles of a polygon that has n sides. How could he do this? Multiply 180 degrees by n. Multiply 180 degrees by (n + 2) Multiply 180 degrees by (n minus 2) Multiply 180 degrees by 2.

Answers

Answer:

Multiply 180 degrees by (n minus 2)

Step-by-step explanation:

Number of sides in the polygon = n

Polygons have sides 3, 4, 5, 6.....

Polygon with 3 sides is a triangle

Polygon with 4 sides is a quadrilateral

Sum of it's Interior angles = (n-2) × 180°

For a 3 sided polygon

Sum of it's Interior angles = (n-2) × 180°

= (3 - 2) × 180°

= 1 × 180°

= 180°

For a 4 sided polygon

Sum of it's Interior angles = (n-2) × 180°

= (4 - 2) × 180°

= 2 × 180°

= 360°

Answer:

Multiply 180 degrees by (n minus 2)

Step-by-step explanation:

Find the length of the third side. If necessary, round to the nearest tenth. 21 25​

Answers

Answer:13.6

Step-by-step explanation:

40 points if you answer and show your work

Identify the two tables which represent quadratic relationships.

Answers

Answer:

Last two options

Step-by-step explanation:

Those two represent quadratic equation because for both of them, the y increases by the square root of 2.

If this has helped please mark as brainliest

Answer:

This is my alt account wanted to add an answer to give you brainliest.

Step-by-step explanation:

Tysm for the answer

The cities of Raleigh, Durham, and Fuquay-Varina approximate a right triangle. The distance from Raleigh to Durham is 24 miles. The distance from Raleigh to Fuquay-Varina is 18 miles. What is the distance from Durham to Fuquay-Varina?

Answers

Answer:

The distance from Durham to Fuquay-Varina is 30 miles.

Step-by-step explanation:

Given that the cities of Raleigh, Durham, and Fuquay-Varina approximate a right triangle, and the distance from Raleigh to Durham is 24 miles, while the distance from Raleigh to Fuquay-Varina is 18 miles, to determine what is the distance from Durham to Fuquay-Varina, the following calculation must be performed, applying the Pythagorean theorem:

18 ^ 2 + 24 ^ 2 = X ^ 2

324 + 576 = X ^ 2

√ 900 = X

30 = X

Therefore, the distance from Durham to Fuquay-Varina is 30 miles.

The entire graph of the function g is shown in the figure below.
Write the domain and range of g using interval notation.
(0,0) [0,0] (0,0)
(a) domain -
(b) range = 0
(0,0)
OUD
0
Х
5
?

Answers

Answer:

domain: [-3, 4]

range: [4, 2]

Step-by-step explanation:

Estimate 67.668+54.79 by first rounding each number to the nearest whole number.

I need the right answer pls and thank u

Answers

if rounding to the nearest whole number i’m pretty sure it would be 68+55=123

The supermarket has 30 aisles. 30% are empty, without any shoppers. How many empty
aisles are there in the supermarket?

Answers

Answer:

9 empty aisles

Step-by-step explanation:

in 100 aisles there are =30 empty

in 1 aisles there are =30/100 empty

in 30 aisles there are =30*30/100 empty

=9 empty aisles

plzzzzzzz mark me brainliest

What does 2x+1-3=0 means

Answers

Answer:

it means that 2x+1-3 will equal to 0

Step-by-step explanation:

your on a app for answers

Please solve 6 - 3x = 14

Answers

Answer:

Step-by-step explanation:

Answer:

X= -8/3

Step-by-step explanation:

What is the area of the trapezoid?
A. 24 mm2
B. 26 mm2
C. 32 mm2
D. 40 mm2

Answers

Answer:

A= 24 m

Step-by-step explanation:

The formula for the area of a trapezoid is  A= [tex]\frac{a+b}{2}[/tex] x h.

Using the formula you plug in the values:  

A= [tex]\frac{4 + 12} 2}[/tex] x 3

2. Now you simplify the equation and solve

A = [tex]\frac{16}{2}[/tex] x 3

A = 8 x 3

A = 24

Find the measure of the indicated angle to the nearest degree.
37
20

Answers

Inverse sin 20/37
My calc is buggin so i cant do it

Answer:

the angle is a sin angle

so sin=opposite

adjacent

sin=20/37

sin=0.3420/0.6018

the answer is 0.5683

What is the GCF of the terms of the polynomial – 15^4 + 12y^2 – 9y?​

Answers

Answer:

-3y

Step-by-step explanation:

Answer:

i don't know

Step-by-step explanation:

i don't know

could somebody answer both?
1. Our new computer is 3 times faster than our old one. How fast is the new computer?
2.A geology kit costs $85. Sophia has $25 and plans to save $5 a week until she can pay for the kit. How many weeks will it take before she can buy the geology kit?

Answers

Answer:

1. 3x faster

2. 12 weeks

Step-by-step explanation:

(85-25)/5=12

factor the following polynomial completely

4x^2-100

Answers

Answer:

4 [ ( x - 5) ( x + 5) ]

Step-by-step explanation:

4x²-100

4 (x²-25)

4 (x²-5²)

4 [( x - 5) ( x + 5)]

Find the perimeter of the triangle. Round your answer to the nearest
tenth. A(2,4) B(-1,-5) C(6,-3)*

Answers

Answer:

i think answer might be 15

Can you please help me to solve 1/2 only please I will mark you the brainly i will really appreciate please

Answers

Answer:

1. a = 5, b = 8

2. d = 2

Step-by-step explanation:

1. The sum of two adjacent angles of a parallelogram is 180 degrees

Hence,

[tex]14a-5+115 = 180 \\14a = 180 -110\\a = 70/14\\a = 5[/tex]

Like wise

[tex]8b+1+115 = 180 \\8b = 180 -116\\8b = 64\\b = 8[/tex]

2.

The two intersecting diagonals cut each other into equal half

[tex]5d + 1 = 3d + 5\\2d = 4\\d = 2[/tex]

select two ratios equivalent to 27 : 9

Answers

Answer: 3/1 and 9/3

Step-by-step explanation:

Solve the equation:
[tex]2 {x}^{2} + 7x - 3 = 0[/tex]

Answers

Answer:

[tex]delta = {7}^{2} - 4 \times 2 \times ( - 3) \\ = 49 + 24 = 73 \\ x 1= \frac{ - 7 + \sqrt{73} }{4} \\ x 2= \frac{ - 7 - \sqrt{73} }{4} [/tex]

The force F needed to loosen a bolt with a wrench varies inversely with the lenth I of the handle. Write an
equation relating Fand I given that 250 pounds of force must be exerted to loosen a bolt when using a wrench
with a handle 6 inches long. How many pounds of force must be exerted when using a wrench with a handle 24
inches long? Round to 1 decimal place.
F =
pounds of force

Answers

Answer:

Step-by-step explanation:

We first need to determine what the model is for this situation. Using the inverse proportion equation, which is

[tex]F=\frac{k}{l}[/tex], we can find that model using the information given.

We first need to solve for k, the constant of proportionality. Using F = 250 and l = 6,

[tex]250=\frac{k}{6}[/tex] and

multiply both sides by 6 to get that

k = 1500

Now we use that k value along with l = 24 to solve for the force needed:

[tex]F=\frac{1500}{24}[/tex] so

F = 62.5 pounds

The two triangles are congruent. Find the unknown variables.

Answers

Answer:

Z=18

Y=110

X=27

Step-by-step explanation:

since they are congruent, the corresponding sides are the same

If the discriminant of an equation is positive, which of the following is true of the equation
A it has one complex solution
B it has one real solution
C it had two real solutions
D it has two complex solutions

Answers

Answer:

C it has two real solutions

Step-by-step explanation:

If the discriminant of a quadratic equation is positive, it means that the graph intersects the x-axis, and hence produces two real solutions.  

If the discriminant is zero, then the graph is tangential to the x-axis, and there will be two real coincident solutions.  

If the discriminant is negative, then there are two complex solutions.

Answer:

C

Step-by-step explanation:

For which pair of functions is (gof)(a) = al-2? O f(a) = a? – 4 and g(a) = Va o fla) = 3a-1 and g(a) = 2a - 2 O f(a) = 5 + a² and g(a) = a-5-2 O f(a) = 3 - 3a and g(a) = 4a - 5

Answers

Step-by-step explanation:

f(a)=1/2-1 and g(a)=2a-2

The pair of functions that gives

f(a) = 5 + a² and g(a) = √(a - 5) - 2 is (g o f) (a) = |a| - 2.

Option C is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the process are 1 and 2.

We have,

f(a) = a² - 4 and g(x) = √a

(g o f) (a)

= g (f(a))

= g (a² - 4)

= √(a² - 4)

f(a) = (1/2)a - 1 and g(a) = 2a - 2

(g o f) (a)

= g (f(a))

= g ((1/2)a - 1)

= 2 x ((1/2)a - 1) - 2

= a - 2 - 2

= a - 4

f(a) = a² - 4 and g(a) = √a

(g o f) (a)

= g (f(a))

= g (a² - 4)

= √(a² - 4)

f(a) = 5 + a² and g(a) = √(a - 5) - 2

(g o f) (a)

= g (f(a))

= g (5 + a²)

= √((5 + a² - 5) - 2

= √a² - 2

= |a| - 2

f(a) = 3 - 3a and g(a) = 4a - 5

(g o f) (a)

= g (f(a))

= g (3 - 3a)

= 4(3 - 3a) - 4

= 12 - 12a - 4

= 8 - 12a

Thus,

The pair of functions that gives

f(a) = 5 + a² and g(a) = √(a - 5) - 2 is (g o f) (a) = |a| - 2.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

1 ÷ 1/4 what does that equal

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

help me answer the last question

Answers

We have the equation 1/2x + 200 =1200 so we know that we have 200 already as one of the numbers so 1/2 is half of x + 200 equals 1200 since we have 200 we know that 1/2 of x is going to be 1000 because 1000+200=1200 meaning x is 2000. So your answer would be x=2000 or 1/2 2000 + 200=1200

Can someone plz help me with this one problem plz

Answers

Answer:

z=8

Step-by-step explanation:

9x8=72

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