We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : High School Math

Study concepts, example questions & explanations for High School Math

Create An Account

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #281 : Plane Geometry

An isoceles triangle has a vertex angle that is degrees more than twice the base angle. What is the vertex angle?

Possible Answers:

100

120

135

Correct answer:

100

Explanation:

Every triangle has 180 degrees. An isoceles triangle has one vertex angle and two congruent base angles.

Let base angle and 2x+20= vertex angle.

So the equation to solve becomes 2x+20+x+x=180 .

4x+20=180

x = 40

Thus the base angles are and the vertex angle is 100 .

Report an Error

Example Question #11 : Isosceles Triangles

An isoceles triangle has a base angle that is degrees less than three times the vertex angle. What is the product of the vertex angle and the base angle?

Possible Answers:

3375

3750

4500

2250

1875

Correct answer:

2250

Explanation:

Every triangle has 180 degrees. An isoceles triangle has one vertex angle and two congruent base angles.

Let vertex angle and 3x-15= base angle.

Then the equation to solve becomes:

x+(3x-15)+(3x-15)=180 , or 7x-30=180 .

Then the vertex angle is , the base angle is , and the product is 2250 .

Report an Error

Example Question #1 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle

In triangle ABC, Angle A = x degrees, Angle B = 2x degrees, and Angle C = 3x+30 degrees. How many degrees is Angle B?

Possible Answers:

50°

105°

25°

45°

30°

Correct answer:

50°

Explanation:

Because the interior angles of a triangle add up to 180°, we can create an equation using the variables given in the problem: x+2x+(3x+30)=180. This simplifies to 6X+30=180. When we subtract 30 from both sides, we get 6x=150. Then, when we divide both sides by 6, we get x=25. Because Angle B=2x degrees, we multiply 25 times 2. Thus, Angle B is equal to 50°. If you got an answer of 25, you may have forgotten to multiply by 2. If you got 105, you may have found Angle C instead of Angle B.

Report an Error

Example Question #11 : Isosceles Triangles

An isosceles triangle has a base angle that is six more than three times the vertex angle. What is the base angle?

Possible Answers:

Correct answer:

Explanation:

Every triangle has 180 degrees. An isosceles triangle has one vertex angle and two congruent base angles.

Let = vertex angle and 3x + 6 = base angle.

Then the equation to solve becomes

x + (3x + 6) + (3x + 6) = 180

7x + 12 = 180 .

Solving for gives a vertex angle of 24 degrees and a base angle of 78 degrees.

Report an Error

Example Question #31 : Isosceles Triangles

The base angle of an isosceles triangle is thirteen more than three times the vertex angle. What is the difference between the vertex angle and the base angle?

Possible Answers:

22^o

65^o

79^o

57^o

101^o

Correct answer:

57^o

Explanation:

Every triangle has 180^o . An isosceles triangle has one vertex ange, and two congruent base angles.

Let be the vertex angle and 3x + 13 be the base angle.

The equation to solve becomes x + (3x + 13) + (3x + 13) = 180^o , since the base angle occurs twice.

7x + 26 = 180^o

7x=154^o

x=22^o

Now we can solve for the vertex angle.

3x+13=3(22)+13=79^o

The difference between the vertex angle and the base angle is 79^o - 22^o = 57^o .

Report an Error

Example Question #284 : Geometry

An isoceles triangle has a base angle that is five less than twice the vertex angle. What is the sum of the base and vertex angles?

Possible Answers:

135

109

Correct answer:

109

Explanation:

Each triangle has 180 degrees.

An isoceles triangle has two congruent base angles and one vertex angle.

Let vertex angle and 2x-5= base angle.

Then the equation to solve becomes x+(2x-5)+(2x-5)=180 or 5x-10=180 .

Add to both sides to get 5x=190 .

Divide both sides by to get x=38 vertex angle and 2x-5=71 base angles, so the sum of the angles is 109 .

Report an Error

Example Question #285 : Geometry

An isoceles triangle has a base angle that is twice the vertex angle. What is the sum of one base angle and the vertex angle?

Possible Answers:

108

135

Correct answer:

108

Explanation:

Every triangle contains 180 degrees. An isoceles triangle has two congruent base angles and one vertex angle.

Let the vertex angle and 2x = the base angle

So the equation to solve becomes x+2x+2x=180 or 5x=180 and dividing by gives x = 36 for the vertex angle and 2x = 72 for the base angle, so the sum is 108

Report an Error

Example Question #11 : Acute / Obtuse Isosceles Triangles

A triangle has a perimeter of inches with one side of length inches. If the remaining two sides have lengths in a ratio of 3:4 , what is length of the shortest side of the triangle?

Possible Answers:

Correct answer:

Explanation:

The answer is .

Since we know that the permieter is inches and one side is inches, it can be determined that the remaining two sides must combine to be 40-12=28 inches. The ratio of the remaining two sides is 3:4 which means 3 parts : 4 parts or 7 parts combined. We can then set up the equation 7x=28 , and divide both sides by which means x=4 . The ratio of the remaining side lengths then becomes 3*(4):4*(4) or 12:16 . We now know the 3 side lengths are $12,12,and\ 16$ .

is the shortest side and thus the answer.

Report an Error

Example Question #1 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

Rectangle

The drawing above shows the base of a solid rectangular prism. $\overline{AB}=10$ and $\overline{BC}=6$ . If the height of the rectangular solid is 3, what is its volume?

Possible Answers:

180

240

120

Correct answer:

180

Explanation:

$VOLUME = BASE \ast WIDTH \astHEIGHT$

BASE =AB =10

WIDTH =BC=6

HEIGHT = 3

$VOLUME = 10\ast6\ast3=180$

Report an Error

Example Question #1 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

What is the volume of a cube with a side of

Possible Answers:

512

4096

Correct answer:

512

Explanation:

The formula for volume of a cube is V=s*s*s .

Plug in our given side and solve:

V=8*8*8=512

Report an Error

View Tutors

Verden
Certified Tutor

University of Mount Olive, Bachelor of Science, Biology, General. University of Mount Olive, Masters in Business Administrati...

View Tutors

Emma
Certified Tutor

Trinity Western University, Bachelor, History.

View Tutors

Joseph
Certified Tutor

Brown University, Bachelor of Science, Education.

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in Philadelphia, Reading Tutors in Atlanta, SSAT Tutors in Los Angeles, GRE Tutors in San Diego, ISEE Tutors in Atlanta, SSAT Tutors in Denver, Physics Tutors in Houston, Computer Science Tutors in Denver, MCAT Tutors in San Francisco-Bay Area, Algebra Tutors in New York City

Popular Courses & Classes

GMAT Courses & Classes in Phoenix, ISEE Courses & Classes in New York City, Spanish Courses & Classes in Seattle, SAT Courses & Classes in San Diego, SSAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Boston, MCAT Courses & Classes in Phoenix, SSAT Courses & Classes in Washington DC, Spanish Courses & Classes in Phoenix, LSAT Courses & Classes in San Diego

Popular Test Prep

SSAT Test Prep in Boston, ISEE Test Prep in Seattle, MCAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Miami, MCAT Test Prep in New York City, SAT Test Prep in Washington DC, SSAT Test Prep in Atlanta, LSAT Test Prep in San Diego, ISEE Test Prep in San Diego, ISEE Test Prep in Denver

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

High School Math : High School Math

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #281 : Plane Geometry

Example Question #11 : Isosceles Triangles

Example Question #1 : How To Find An Angle In An Acute / Obtuse Isosceles Triangle

Example Question #11 : Isosceles Triangles

Example Question #31 : Isosceles Triangles

Example Question #284 : Geometry

Example Question #285 : Geometry

Example Question #11 : Acute / Obtuse Isosceles Triangles

Example Question #1 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

Example Question #1 : How To Find The Volume Of A Rectangular Solid In Pre Algebra

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: