1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ch4aika [34]
3 years ago
13

Triangle ABC is shown BCD=30 D is a point on side AC such that BD=DA=AB prove that AD =DC

Mathematics
2 answers:
babymother [125]3 years ago
6 0

Answer:

<BAC=<BAD=60° (ΔABD is an equilateral triangle (all sides are equal) so each angle measures 60°)

All the angles in a triangle add to 180, so for ΔABC, we can write <ABC=180-60-30=90. So ΔABC is a right angled triangle with hypotenuse AC.

sinA=opposite/hypotenuse

sin30=AB/AC

1/2=AB/AC

AC=2AB=2AD

AC=AD+DC

AD+DC=2AD

DC=AD

<em>QED</em>

maw [93]3 years ago
5 0

Answer:

Step-by-step explanation:

what grade are you on lemme help you

You might be interested in
"Anik" is the name of a series of Canadian communications satellites. The first Anik shown here, was launched in 1972. It was a
Ann [662]
The surface area would be 26.5487 m².

The surface area of a cylinder is equal to the area of the circles at both ends, added to the area of the rectangular portion in the middle.  The rectangle in the middle has a width equal to the circumference of the circle and a length equal to the height of the cylinder. 

The circumference of a circle is given by C = πd, and the area of the circles is given by A=πr².  

Since the height is in meters, we will convert it to cm.  3.5 m = 350 cm.
The diameter is 190 cm, so the radius is 190/2 = 95 cm.

This gives us:
SA = 3.14(190)(350)+2(3.14)(95)²
= 208810 + 56677 = 265487 cm² = 26.5487 m²
8 0
3 years ago
What is the reciprocal of 7/11 in simpliest form
Leona [35]

Answer:

11/7is your <em>answer</em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em>

Step-by-step explanation:

hope its help you

8 0
3 years ago
Hi can someone help me out with this problem.
elena-s [515]

Answer:

third side = 9

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x, then

x² + 40² = 41², that is

x² + 1600 = 1681 ( subtract 1600 from both sides )

x² = 81 ( take the square root of both sides )

x = \sqrt{81} = 9

The third side is 9

3 0
3 years ago
Read 2 more answers
Write a word problem whose solution is |-70|=70
devlian [24]
What is the absolute value of -70.

6 0
3 years ago
1.) You (or your parents) purchase a new car for $19,725.00 plus 4.75% sales tax. The down payment is $2,175.00 and you (or your
Helga [31]

Answer:

$936.94

Step-by-step explanation:

Remember, that because you paid $2,175 up front (down payment), you can borrow $2,175 less from the bank to purchase the car. So first step: Take new car price of $19,725.00 and multiply it by the sales tax percentage ($19,725 * 0.0475) to get $936.94 of tax.

4 0
3 years ago
Other questions:
  • What are the domain and range of the function f(x)=5^x-3 +1
    12·2 answers
  • 1. Let T(p = 0.06p be a function that calculates
    12·1 answer
  • Let’s assume that one drop is equal to 50 µl. a total of 2366 drops will fill how many tablespoons?
    8·1 answer
  • Find the value of x, if angle x measures 102 degrees
    8·1 answer
  • Ecuación de la hipérbola con centro en (0;0), focos en abrir paréntesis 0 coma espacio menos raíz cuadrada de 28 cerrar paréntes
    15·1 answer
  • A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for ever
    13·1 answer
  • The product of 2 consecutive positive odd integers is 483. Write the equation that would be used to find x, the smaller integer.
    13·1 answer
  • This morning 45 students showed up to school early. 40% of that showed up did not have a backpack on.How many students did not s
    15·2 answers
  • I need help with this equation.-2.5+y/6=-16.9
    10·1 answer
  • 16:4) In the given figure, PQ//RS; SRT = 19° and STR = 31°. Find the QPT. ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!