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
salantis [7]
3 years ago
13

The sum of the angle measures of any triangle is 180 degrees. find the angle measures of a triangle if the second angle measures

twice the first, and the third angle measures 15 degrees less than the second.
Mathematics
1 answer:
MissTica3 years ago
3 0
A+b+c= 180
<span>a = ?
</span><span>b = 2a - 10 (twice a minus 10)
</span><span>c = b + 25 (25 more than b)
</span><span>Substitute for b
c = (2a-10) + 25
</span><span>Now substitute back into a+b+c=180
a + (2a-10) + (2a-10+25) = 180
</span><span>Eliminate the parentheses
a + 2a - 10 + 2a - 10 + 25 = 180
</span><span>Combine like terms
5a + 5 = 180
</span><span>Subtract 5 from both sides
5a = 175
</span><span>Divide both sides by 5
a = 35
</span><span>Substitute into the equation for b.
b = 2a -10 = 2*35 - 10 = 70 - 10 = 60
</span><span>Add 25 to b to get c.
c = 60 + 25 = 85</span><span>Check by adding them up.
35 + 60 + 85 = 180
Done.</span>
You might be interested in
A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the
Liono4ka [1.6K]

Answer:

The wall is 10.5 foot far from the bottom of the ladder.

Step-by-step explanation:

Given:

Height of the ladder leaning against wall (Hypotenuse) = 20 foot.

Height from where the window is above from the ground (Leg1) = 17 feet.

To find the distance of the bottom of the ladder far from the wall (Leg2) = ?

Now, by using the pythagorean theorem:

Hypotenuse^{2} = (Leg1)^{2} + (Leg2)^{2}

20^{2} =17^{2}+(Leg2) ^{2}

400=289+(Leg2)^{2}

400-289=(Leg2)^{2}

111=(Leg2)^{2}

by squaring both sides

Leg2=10.535

10.535 foot rounded nearest tenth is 10.5 foot.

Therefore, the wall is 10.5 foot far from the bottom of the ladder.  

6 0
3 years ago
Given that (6 3) is on the graph of f(x) find the corresponding point for the function f(-1/2x)
Vlada [557]
\bf \begin{array}{rllll}&#10;(6&,&3)&f(x)\\&#10;x&&y\\\\&#10;(-\frac{1}{2}x&,&3)&f(-\frac{1}{2}x)\\\\&#10;(-\frac{1}{2}\cdot 6&,&3)\\\\&#10;(-3&,&3)&#10;\end{array}

keep in mind that, a negative coefficient to "x", will make the graph reflect over the y-axis.
6 0
3 years ago
Read 2 more answers
What is the decimal for of -4 7/8?
asambeis [7]
-4 7/8 = -4.875 <====
3 0
2 years ago
Please help thxxx i will give brainly
solniwko [45]

The answer will be option 2. 10^4.

8 0
2 years ago
Read 2 more answers
You want to have an equal number of 5 noisemakers and 30 balloons at your party.What is the least number of packs of each you ca
Verizon [17]

Answer:

6 pk noisemakers (6 x 5 = 30 noisemakers)

1 pk balloons (1 x 30 = 30 balloons)

Step-by-step explanation:

divide 30 by 5, = 6

buy 6 packs noisemakers and one pack of balloons

4 0
3 years ago
Other questions:
  • NEED DONE NOW!!!!!!
    8·2 answers
  • 76 divided by 3 area model
    14·1 answer
  • Please help me I really need help. I will mark you brainliest​
    10·1 answer
  • What is the midpoint of this segment??
    13·2 answers
  • 214 g = ? kg please help
    12·2 answers
  • What is the correct value of x in the equation 2x + 3= 6​
    12·2 answers
  • What is the radius of a circle whose endpoints of a diameter are A(-4, 14) and B (2,8)​
    9·1 answer
  • Please help!! I am so confused on angles in right triangles.
    6·1 answer
  • Write slope intercept form of th equation of each line
    15·1 answer
  • The number of peas on Pauline's plate, 40, is 13 greater than the number on Doris's plate. How many peas are on Doris's plate?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!