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
belka [17]
3 years ago
7

One angle of a triangle measures

align="absmiddle" class="latex-formula"> more than the second. The measure of the third angle is twice the sum of the first two angles. What is the measure of each angle?
Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0

Answer:

One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o

Step-by-step explanation:

Let

x ----> the measure of one angle of the triangle

y ---> the measure of the second angle

z ----> the measure of the third angle

we know that

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

x+y+z=180^o -----> equation A

One angle of a triangle measures  10 degrees more than the second

x=y+10 ----> equation B

The measure of the third angle is twice the sum of the first two angles

z=2(x+y) ---> equation C

substitute equation B in equation C

z=2(y+10+y)

z=4y+20 ----> equation D

substitute equation D and equation B in equation A

(y+10)+y+(4y+20)=180^o

solve for y

6y=180-30\\6y=150\\y=25^o

Find the value of x

x=25+10=35^o

Find the value of z

z=4(25)+20=120^o

therefore

One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o

You might be interested in
If 8(x) is the inverse of f(x) and f(x) = 4x + 12, what is g(x)?
Novay_Z [31]

Answer:

g(x)=\frac{x-12}{4}

Step-by-step explanation:

To find the inverse of y=4x+12, all you need to is swap x an y and then remake y the subject.

y=4x+12

Swap x and y:

x=4y+12

Solve for y:

Subtracting 12 on both sides:

x-12=4y

Dividing 4 on both sides:

\frac{x-12}{4}=y

So g(x)=\frac{x-12}{4}

6 0
3 years ago
Read 2 more answers
Some other person's sales tax is $1.61. How much was their subtotal?
sleet_krkn [62]
I tried helping but failed ☹️ your guess is as good as mine
6 0
3 years ago
Read 2 more answers
A fruit merchant sells packages of apples and bananas. Each package includes 3 apples and 4 bananas. If the merchant Sells 20 pa
diamong [38]

Answer:

80

Step-by-step explanation:

number of apples in each package = 3

number of bananas in each package = 4

total number of bananas in every 20 packages = 20 × 4 = 80

pls mark as brainliest. . .

6 0
3 years ago
What is the degree of 7x^5+6x^3+4x+2
11111nata11111 [884]

The degree is the largest exponent on the variable.

Degree: 5

8 0
3 years ago
33 POINTS! Right answer gets brainliest <br><br> Find the area of the shape below.
Dvinal [7]

Answer: 112.5 m^2

Step-by-step explanation:

Area of rectangle = lw

l = 7.5

w = 15

7.5 * 15 = 112.5

7 0
2 years ago
Read 2 more answers
Other questions:
  • ST has endpoints S(-2,-4) and T(6,8). Find the coordinates of the midpoint of ST.
    15·1 answer
  • 4 percent of x days is 56
    9·1 answer
  • )
    14·2 answers
  • You are planning on using circles to compare the populations of California 37,691,000, Texas 25,675,000, and New York 19,465,000
    12·1 answer
  • Jamie needs to determine the distance across a river. She selects a rock, R, on the opposite river bank. She finds a tree, T, on
    8·2 answers
  • Steve made 9 3/6 cups of pancake batter on a weekend camping trip. He used 3 4/6 cups of batter for breakfast on saturday. Write
    5·1 answer
  • Solve the following problem -43+17=
    14·1 answer
  • Could you please help me if you know how to do this
    8·1 answer
  • Find the volume of the cylinder please
    13·1 answer
  • A washer and a dryer cost $757 combined. The washer costs $57 more than the dryer. What is the cost of the dryer?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!