math

In any triangle the sum of the measures of the angles is 180. In triangle ABC, A is three times as large as B and also 16 larger than C. Find the measures of each angle.

I also would like to know how to solve these problems:
In isosceles trapezoid ABCD, the longer base, AB is one and one half times as long as the shorter base, CD. The other two sides, AD and BC, are both 13 cm long. Find the lengths of AB and CD if the perimeter is 76 cm. Also, if the height of the trapezoid is 12 cm, find it's area.

In one day, Machine A caps twice as many bottles as Machine B. Machine C caps 500 more bottles than Machine A. The three machines cap a total of 40,000 bottles in a day. How many bottles does each of the machines cap in one day?

  1. 👍 0
  2. 👎 0
  3. 👁 76
asked by Faye
  1. Let CD = x
    Let AB = 1.5x

    x + 1.5x + 13 + 13 = 76
    Solve for x.

    Area of a trapezoid = h((b1+b2)/2)
    Where b1 and b2 are the two bases of a trapezoid.

    For your machine question:
    Let x be the number of bottles capped for machine b
    Let 2x be ... machine a
    Let 2x + 500 be ... machine c

    x + 2x + 2x + 500 = 40000
    Solve for x.

    1. 👍 0
    2. 👎 0
  2. Triangle question:

    Let x be B
    Let 3x be A
    Let 3x - 16

    x + 3x + 3x - 16 = 180
    Solve for x

    1. 👍 0
    2. 👎 0
  3. Oh, I get it now. Thank you!

    1. 👍 0
    2. 👎 0
    posted by Faye
  4. NP, but sorry. The "lets" for the machine and triangle questions are reversed. IE instead of "Let x be B" it's "Let B be x"

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    1. What is the correct classification for the triangle shown below? A triangle has two angles measuring 68 degrees and 22 degrees. (1 point) acute, scalene acute, isosceles --- right, scalene obtuse, scalene 2. What is the value

    asked by Unknown on March 1, 2018
  2. Geometry help?

    I'm not sure what to do on these questions. The measure of the vertex angle of an isosceles triangle is 26. Find the measure of each base angle If the measures of the three angles of a triangle are x,2x-20, and 3x-10, then what is

    asked by Kase on August 2, 2006
  3. math

    The sum of the measures of the angles of any triangle is 180 degrees. In triangle abc, angles a and b have the same measure, while the measure of angle c is 78 degrees larger than each of a and b. What are the measures of the

    asked by Kelly on September 7, 2012
  4. Math

    Triangle ABC has angles measuring 137°, 15°, and 28°. Classify the triangle by its angle measures. right triangle acute triangle obtuse triangle multiangular triangle I thinks it's c

    asked by Connexus Girl on December 20, 2017
  5. MATH

    In a triangle ABC, angle A is 2 times angles C and angle B is 20 degrees less than angle C find the number of degrees in these angles In a triangle ABC, angle A is 2 times angles C and angle B is 20 degrees less than angle C find

    asked by fiaie on August 24, 2006
  6. Math

    If the measures of the angles in a triangle are in the ration 3:4:5, the measure of the exterior angle of the triangle can not be a) 120D b)165D c)105D d)135D b 165 With the triangle ratio of 3:4:5 the equation can be made: 3x +

    asked by James on February 23, 2007
  7. math

    Plz explain to me how to do this : The angles of an equilateral triangle are congruent. If x represents the measure of one angle of an equilateral triangle which equation represents the sum of the angle measures of the triangle A.

    asked by Young Trippy Lil G on March 6, 2017
  8. ALGEBRA 1

    If x and 3x-10 represent the measure of the acute angles of a right tringle find the value of x. THANKS Let's take it step by step. A triangle has 3 angles in it. Those three angles, when added together, is 180. In a right

    asked by DANIELLE on February 12, 2007
  9. cwi

    The sum of the measures of the angles of any triangle is 180 degrees. In triangle ABC, the measure of angle A is 70° more than the measure of angle B. The measure of angle B is twice the measure of angle C. Find the measure of

    asked by JJd on May 30, 2016
  10. geometry

    find the value of x in each triangle: triangle x has 1 angle at 53 degree for value x i got: 63.5 degree is that correct? Classify each triangle. 7. The measures of 2 angles are : 45 degree and 45 degree i got: acute 8. the

    asked by marko on March 21, 2012
  11. geometry

    find the value of x in each triangle: triangle x has 1 angle at 53 degree for value x i got: 63.5 degree is that correct? Classify each triangle. 7. The measures of 2 angles are : 45 degree and 45 degree i got: acute 8. the

    asked by marko on March 21, 2012

More Similar Questions