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
Aloiza [94]
3 years ago
9

Find xandeach of theinterior angles.​

Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

Part 1) x=27

Part 2) The measure of the interior angles are 64°-67°-49°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of x

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

In this problem

(3x-17)^o+(x+40)^o+(2x-5)^o=180^o

Solve for x

Combine like terms

(6x+18)^o=180^o

Subtract 18 both sides

6x=180-18

6x=162

Divide by 6 both sides

x=27

step 2

Find the measure of each interior angle

substitute the value of x in each measure

(3(27)-17)=64^o

(27+40)=67^o

(2(27)-5)=49^o

You might be interested in
Help with number 7!! You don’t have to do it but how do you do the problem??
musickatia [10]
80 * 5/8 will give you how many are thoroughbreds. 

80 * 5/8 = 50

Now subtract this from all of the horses. 

80 - 50 = 30. 

There are 30 quarter horses. 

OR If 5/8 of the horses are thoroughbreds, then 3/8 are quarter horses.

80 * 3/8 = 30. 
6 0
3 years ago
Read 2 more answers
A player pays $15 to play a game in which a chip is randomly selected from a bag of chips. The bag contains 10 red chips, 4 blue
adelina 88 [10]

Answer:b. 4.50

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
triangle MNO is an equilateral triangle with sides measuring 16 units What is the height of the triangle?
fiasKO [112]

see the attached figure to better understand the problem

we know that

The equilateral triangle has three equal sides

so

in the equilateral triangle ABC

AB=BC=AC=16 units

the height of the triangle is the segment BD

in the right triangle BCD

Applying the Pythagorean Theorem

BC^{2} =BD^{2}+DC^{2}

solve for BD

BD^{2}=BC^{2}-DC^{2}

substitute the values

BD^{2}=16^{2}-8^{2}

BD^{2}=192

BD=\sqrt{192}\ units

therefore

<u>the answer is</u>

the height of the triangle is \sqrt{192}\ units


7 0
3 years ago
Read 2 more answers
Micheal buys a new jacket for 90 dollars. Sales tax is 8%. How much does Micheal actually have to pay?
Illusion [34]

Answer:

$97.20

Step-by-step explanation:

you make the 8% into a decimal by moving the decimal to places to the left.

8%=0.08, Then you multiply that by the whole number of 90 dollars.

0.08 x 90 = $97.20

3 0
2 years ago
Alice went on a class trip to the museum and sketched a scale drawing of a famous painting. The original piece of artwork had a
Burka [1]
Divide 108 and 72 by twelve and you get 9 and 6 which all you have to do it multiply together
3 0
4 years ago
Other questions:
  • (0,1),(1,3),(2,5),(3,7) function rule
    13·1 answer
  • If, instead of the second electron coming in from infinity, it is initially at x = + 20.00 m on the axis and is given an initial
    8·1 answer
  • Question #2 <img src="https://tex.z-dn.net/?f=5x%2B9%5Cleq%204" id="TexFormula1" title="5x+9\leq 4" alt="5x+9\leq 4" align="absm
    13·1 answer
  • The volumes of two similar figures are 27 mm^3 and 1331 mm^3. If the surface area of the smaller figure is 18 mm^2, what is the
    13·1 answer
  • What does x equal x + 3 ≤ –5 + 2x
    13·1 answer
  • Choose all that define a rectangle in the coordinate plane by the four given points.
    11·2 answers
  • 15 POINTS PLEASE HELP!
    15·1 answer
  • What is the y-intercept
    5·1 answer
  • Write the exponential equation in logarithmic form.<br><br> e^(-3) ≈ .05
    13·1 answer
  • What is the domain of the line.pls answer​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!