Mathematics High School

How many triangles can be drawn with one 90o ​angle, a 70° angle, and an included side measuring 3​ inches? Explain. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Answers

Answer 1

Answer:

2

Step-by-step explanation:

This is because any of the sides can be the one measuring 3 inches. Since it is a triangle, the sum of angles is 180. Let the third angle be x.

So, x + 90° + 70° = 180°

x + 160° = 180°

x = 180° - 160°

x = 20°

So, the third angle is 20°.

If the included side is a side other than the hypotenuse side, we can find it by applying the sine rule.

The included side can be either side other than the hypotenuse.

Also, either of the third angle in each triangle can be 20°

So, we have two sides and two triangles.

If the included side is the hypotenuse side, we use Pythagoras' theorem to find the length of the other two sides (and they must be equal)since the angle between the two sides is a right-angle, that is, 90°.

Since the other two angles are not equal, we cannot have a triangle with two equal sides and an hypotenuse. That is, we cannot have an isosceles triangle. So, no third triangle.

So, the total number of triangles that can be drawn with one 90° angle, a 70° angle and an included side measuring 3 inches is 2.

Related Questions

C =tid circumference = 3.14 x diameter
If a circle has the diameter of 24 ft, what is the circumference?
ft.

Answers

Answer:

75.36.

Step-by-step explanation:

C= Pi D (Pi times diameter) so you do 3.14x 24 which then you get your answer of 75.36.

I NEED HELP PLEASE!!!!!!

Answers

Answer: 26

Step-by-step explanation:

I dont know if this was the right answer, I just divided

Answer:

26 smaller bags

Step-by-step explanation:

JELLO HELLO KNOCKS FOR HELP

Answers

Wait imma try to solve this

Answer:

I think it's 9×30=270 (given

270-180 (sum of triangle

=90°

Mr. Kelly pays $12,564 a year for rent. His rent is a constant amount each month.
Which equation represents the amount he pays per month if m = months and
c = total rent paid for the year?

Answers

Answer:

c=12,564

m=1,047

Step-by-step explanation:

I don’t know sorry .................

9.

Identify the vertex of the graph. Tell whether it is a minimum or maximum.


A. (–2, 1); minimum

B. (–2, 1); maximum

C. (1, –2); minimum

D. (1, –2); maximum

Answers

Answer:

C. (1, –2); minimum

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The vertex is the turning point of the graph.

This is at (- 1, - 2)

The graph changes from decreasing to increasing at (- 1, - 2)

Hence is a minimum at (- 1, - 2)

Drag and drop one equation into the space provided which correctly shows the relationship between the variables in the table.

Answers

Answer:

v = 2c

Step-by-step explanation:

I need a answer for this

Answers

Answer:

6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10^2

a^2 +64=100

a^2 = 100-64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

Please hurry i need help and im stuck!!! helpsosososos

Answers

Answer:

2

Step-by-step explanation:

the x and y are being multiplied by 2 e.g. 1 × 2 is 2 and 2 × 2 is 4 so the constant is 2

Answer:

2

Step-by-step explanation:

y2-y1       4-2         2

-------- = --------- = ---------- = 2

x2-x1        2-1          1

Solve the system of equations and choose the correct answer from the list of options.
d + e = 1
- d + e = - 5
Label the ordered pairs as (d,e)
1) (0,0)
2) (3, -2)
3) (-2, 3)
4) (-3, 0)

Answers

Answer:

2) (3, -2)

Step-by-step explanation:

d + e = 1

- d + e = - 5

__________+

0 +2e = -4

e = -4/2 = -2

d = 1-(-2) = 3

so, (d, e) => (3, -2)

Help please............. please

Answers

Answer:a!

Step-by-step explanation:

Answer = A


step by step explanation:

5f - 2g + 3f - 4 - g

Answers

Answer:

8f-3g-4

Step-by-step explanation:

hope this helps U0U

288 chocolates are put into three boxes The chocolate are put into a small box a medium box and a large box on the ratio 1:3:8

Answers

24 small box, 72 medium box, 192 large box

Octavia is wrapping a cube-shaped gift box with wrapping paper. If the cube's edge has a length of 27.8 in., what is the amount of wrapping paper Octavia needs to wrap the gift?

Answers

Answer:

21484.952 ft^3

Step-by-step explanation:

a cube has the same edges so its basically

27.8^3

Which of the following is most likely the next step in the series?
Look at the photo

Answers

It looks like C since it was the start on the other side.

PLEASE HELP ME!!! ILL GIVE BRAINLIEST IF ITS RIGHT

Answers

Answer:

266.386

Step-by-step explanation:

im not shore if its right, i used a surface area calculator

Answer:

56ft

Step-by-step explanation:

Surface area is adding up all the sides multiplied by 2, so:

8 x 2 = 16ft

8 x 2 = 16ft

12 x 2 = 24ft

24ft + 16ft + 16ft = 56ft

What type of number is
5
6
A) rational
B) irrational
C) integer
D) whole

Answers

Answer:

whole number if you can pick more choices it would be A, C, and D

hope this helps

have a good day :)

Step-by-step explanation:

What is the slope-intercept form equation of a line that has a slope of 1 and passes
through the point (-4, 10)?

Answers

Answer:

y = 1x+14

Step-by-step explanation:

The slope intercept form is

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

y = 1x+b

Substitute the point into the equation

10 = -4+b

Add 4 to each side

10+4 = -4+b+4

14 = b

y = x+14

HELP HELP HELP FIRST RIGHT ANSWER GETS BRAINLIEST​

Answers

Answer: B

Explanation

Two friends, Parker and David, took summer jobs. The graph below represents David's earnings in dollars and cents, yy, for working xx hours.

Answers

Wheres the graph...and the question?

heeelpppppppppppppppppppppp plz

Answers

Answer:

150°

Step-by-step explanation:

150 degrees: the 30 degree angle is congruent to the angle on the other side of x, and a straight line is 180 degrees so subtract 30 from 180 and you get 150 degrees.

(X+4) • (3x)

(Help answer this )

Answers

Answer:

3x^2 +12x

Step-by-step explanation:

(x+4) • (3x)

Distribute

3x*x + 3x*4

3x^2 +12x

The population of one type of fish, P.,, and another type of fish, P2, are modeled by the equations P1 = 10.000) and P2 = 1000(3) Where
I is the time in years.
Which expression describes the relationship between the populations P; and P2 in 3 years?
O A P2 = 1/2
O B. P2 = 1 / 1
OC P2 = 2 P
OD. P₂ = 1 / 2
OE P2 = 720P

Answers

I think it’s B.P2= 1/1

Need help with these 1 questions please show work !!!! Due soon !!

Answers

Answer:

1. is 29.3in^3

2. 268.08

4/3pi(r)^3

4/3pi(4)^3

= 268.08

Rounded to the nearest tenth is 268.1

How to factorise this question

Answers

Answer:

Step-by-step explanation:

90-2(a-3)^2

=88{(a)^2-2*a*3+(3)^2]

=88[a^2-6a+9}

=88a^2-528a+792

What is the est. decimal for the square root of 50?

Answers

Answer:

7.071

Step-by-step explanation:

Hope this helps

The answer to your question would be 7.0
The estimated decimal square root of 50.0 is 7.0.

Hope this helped,

Have a great afternoon.

i need help pls its a review form few years ago i cant rember the greeen and gray box pls help me

Answers

Answer:

The answer is 21 remainder 6

Step-by-step explanation:

Decide whether there is enough information to prove that r∥s. If so, state the theroem you would use.

Answers

Answer:

C

Step-by-step explanation:

if the two lines were parallel, then the alternate, on opposite side of the trasversal, exterior, or not inside the lines, angles would be congruent. sicne they are, the line are parallel

The following pie chart represent the number of valid votes by four students the total no of voters is 720. A) who has won and by how many votes B) who got the minimum c) how man votes are obtained
Plz hurry plz I need urgently

Answers

Answer:

I only know this much.....

A) Deepthi has won the election.

B) Rashmi got minimum number of votes.

find the value of (256)-3/4
help with steps pls​

Answers

Answer:

Step-by-step explanation:

(256)-3/4

=256*-3/4

=-768/4

=-192

A N S W E R
Q U I C K L Y
P L E A S E

Answers

Answer: D!!

Step-by-step explanation:

You need a common denominator (bottom number) to subtract!

Answer:

d

Step-by-step explanation:

I think it is D. Hopfully.

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