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
agasfer [191]
2 years ago
8

Its due tomorrow need help!!

Mathematics
1 answer:
IrinaVladis [17]2 years ago
6 0

Let s represent the measure of the second angle.

The measure of the first angle is 15° less than the second, so we can represent the first angle by (s-15).

The measure of the third angle is 45° more than half the second, so we can represent the third angle by (45+(s/2)).

The sum of these angles is 180°, so we can represent the sum as

... (s-15) + s + (45+s/2) = 180

Collecting terms, we have

... 2.5s +30 = 180

... 2.5s = 150 . . . . . . subtract 30

... s = 150/2.5 = 60 . . . . divide by the coefficient of s

The first angle is 60-15 = 45.

The second angle is 60.

The third angle is 45+60/2 = 75.

_____

<u>Check</u>

The sum of the three angles is 45 +60 +75 = 180.

You might be interested in
In an arithmetic sequence, t4 + t5 + t6 = 300, and t15 +t16+ t17 = 201. Find t18.
stiks02 [169]
In an arithmetic sequence:
Tn=t₁+(n-1)d

t₄=t₁+(4-1)d=t₁+3d
t₅=t₁+(5-1)d=t₁+4d
t₆=t₁+(6-1)d=t₁+5d

t₄+t₅+t₆=(t₁+3d) +(t₁+4d)+(t₁+5d)=3t₁+12d

Therefore:
3t₁+12d=300    (1)


t₁₅=t₁+(15-1)d=t₁+14d
t₁₆=t₁+(16-1)d=t₁+15d
t₁₇=t₁+(17-1)d=t₁+16d

t₁₅+t₁₆+t₁₇=(t₁+14d)+(t₁+15d)+(t₁+16d)=3t₁+45d

Therefore:
3t₁+45d=201    (2)

With the equations (1) and (2) we make an system of equations:

3t₁+12d=300
3t₁+45d=201

we can solve this system of equations by reduction method.

  3t₁+12d=300
-(3t₁+45d=201)
-----------------------------
       -33d=99      ⇒d=99/-33=-3

3t₁+12d=300
3t₁+12(-3)=300
3t₁-36=300
3t₁=300+36
3t₁=336
t₁=336/3
t₁=112

Threfore:

Tn=112+(n-1)(-3)
Tn=112-3n+3
Tn=115-3n

Now, we calculate T₁₈:

T₁₈=115-3(18)=115-54=61

Answer: T₁₈=61




5 0
3 years ago
Find her number and explain
Andreas93 [3]
It should be 11. hope this helps :)
8 0
3 years ago
Read 2 more answers
Water begins to slowly leak from David’s water bottle right after he fills it. After 5 minutes, he notices the bottle has 26 oun
Dafna11 [192]

Answer:

35y+5x=30

Step-by-step explanation:

iM biggest brain

7 0
3 years ago
What is the length of the actual dining room?
Schach [20]
120 inches.

This is because to find the scale factor, you have to take the square root of the area scale. This will give you 30-1 ratio. Then multiply the 4 by that number. 
6 0
3 years ago
Can u help me plssss
Anastaziya [24]

Answer:

120 I think.

Step-by-step explanation:

Because 10*12=120

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which angles are coterminal with 3pi/2?
    6·2 answers
  • Please help ASAP!! 28 points!!
    5·1 answer
  • If one rooster can wake up 10 hens, then how many hens can 3 roosters wake up?
    7·2 answers
  • John has four more buckles than dimes in his pocket, for a total of $1.25 which equation could be used to determine the number o
    12·1 answer
  • Evaluate −6 − (−4). (1 point)
    14·2 answers
  • What is the equation of a line that has a slope of-2/3 and a y intercept of 1.25
    8·1 answer
  • A circular disc has a diameter of 24 centimeters. What is the area of the disc?
    15·1 answer
  • Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site
    13·1 answer
  • Find the slope and y intercept of 2y +8 = 6x + 4
    12·2 answers
  • Which of these is an example of typing at an average rate of 42 words per minute?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!