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
Alex_Xolod [135]
3 years ago
6

3. Triangle ABC has angle measures as shown. a) What is the value of x? Show your work.

Mathematics
2 answers:
VladimirAG [237]3 years ago
8 0
As always, the sum of the measures of the angles in a triangle is 180°.

(x -5) +(3x +30) +35 = 180
4x +60 = 180 . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . divide by 4

a) The value of x is 30.
satela [25.4K]3 years ago
3 0
The sum of the angles in a triangle is 180°, therefore:
(x - 5) + (3x + 30) + 35 = 180
x - 5 + 3x + 30 + 35 = 180
Sum up x + 3x
4x  - 5 + 30 + 35 = 180
Sum up all the numbers
4x + 60 = 180
Substract 60 from both sides
4x = 120
And finally divide by 4 (on both sides)
x = 30

You might be interested in
You have a square(40 inches by 24 inches) and reduce it to create the smaller box of 10 inches by 6 inches. What is the scale fa
Gnoma [55]

Answer:

4 inches

Step-by-step explanation:

40/24=10/6

40/10=4

24/6=4

(40/24)/(4/4)=10/6

(10/6)(4/4)=10/24

3 0
3 years ago
Forty-two divided by seven plus the quantity three divided by six
ikadub [295]

Answer:

i think its 6.5

Step-by-step explanation:

42/7 = 6

3/6 = 0.5

6+0.5=6.5

6 0
3 years ago
The tree diagram shows the possible win/loss paths for a basketball team playing in a tournament. Harris High School loses 1 gam
nordsb [41]
This could happen in 3 ways.
6 0
3 years ago
Read 2 more answers
If x varies directly as y, then what is y when x = 4,<br> knowing that x = 60 when y = 5?
Basile [38]

Answer:  The answer would be 1/2

Step-by-step explanation:

<em>Y varies DIRECTLY as x. Find the constant of variation, k, if y = -5x </em>

<em>The first sentence is there for information, the constant is a number( 1,2,3...so on) , so the only number is -5 </em>

<em>It is a linear equation meaning equation of a straight line. </em>

<em>its form is y= mx+b, where m is the slope of the line, b is the y intercept when x=0. these info you have to memorize like your life depend on it. </em>

<em>next, y varies directly as x. If y = 15 when x = 60, find y when x = 100 </em>

<em>if y= 15, when x=60, then there is a number m such that m*y= 60 </em>

<em>or m= 60/y= 60/15 =4 </em>

<em>so the equation is y=4x. in this cause, the b=0 </em>

<em>so when x=0, y=0 </em>

<em>The distance a car travels at a constant speed varies directly as the time the car spends traveling. If a car traveled 105 miles in 3 hours, how far could the car travel in 5 hours? </em>

<em>remember that distance = speed times time. </em>

<em>or d=Vt </em>

<em>so car goes 105 miles on 3 hours </em>

<em>how far it goes in one hour? </em>

<em>if you know that, then you can tell how far it goes in 5 hours.</em>

<em>Hope I made it non tough enough</em>

<em>Please give me Brainliest</em>

4 0
3 years ago
Read 2 more answers
Equation:y=5/3x+5<br> Slope:5/3<br> y-intercept:?
Anettt [7]
The y intercept will be 5
4 0
2 years ago
Read 2 more answers
Other questions:
  • A coffee stand sells cups of coffee for $6 and cups of tea for $3 . Tuesday, a total of 75 cups were sold, and the total money c
    5·1 answer
  • There are 800 members in an astronomy club, and 320 of them are females. What percent of the members are males?
    7·1 answer
  • Trent ordered sandwiches for his friends. The veggie sandwiches cost $4 apiece and the meat sandwiches cost $5 apiece. Trent ord
    14·1 answer
  • What is the answer to 8y-5&lt;3
    10·1 answer
  • Given the equation Square root of 2x plus 1 = 3, solve for x and identify if it is an extraneous solution
    6·2 answers
  • What can u multiply by 8.6<br> then divide by two to get<br> 32.25
    5·2 answers
  • Between which set of ordered pairs is the distance the least?
    5·1 answer
  • The blinker on Brendan’s Bugatti blinks 22 times every 48 seconds. how many times will the blinker blind in 24 seconds ?
    9·1 answer
  • Which statement is true about points located in quadrant Ill in the coordinate
    7·2 answers
  • YeS mOrE 9Th GrAdE mAtH (question for smart people)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!