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
hram777 [196]
3 years ago
6

Find the measures of the angles of a triangle if the measure of one angle is twice the measure of a second angle and the third a

ngle measures 3 times the second angle decreased by 48.
Mathematics
1 answer:
guapka [62]3 years ago
4 0

Answer:

<h2><em> 38°, 66° and 76°</em></h2>

Step-by-step explanation:

A triangle consists of 3 angles and sides. The sum of the angles in a triangle is 180°. Let the angle be <A, <B and <C.

<A + <B + <C = 180° ...... 1

If the measure of one angle is twice the measure of a second angle then

<A = 2<B ...... 2

Also if the third angle measures 3 times the second angle decreased by 48, this is expressed as <C = 3<B-48............ 3

Substituting equations 2 and 3 into 1 will give;

(2<B) + <B + (3<B-48) = 180°

6<B- 48 = 180°

add 48 to both sides

6<B-48+48 = 180+48

6<B = 228

<B = 228/6

<B =38°

To get the other angles of the triangle;

Since <A = 2<B  from equation 2;

<A = 2(38)

<A = 76°

Also <C = 3<B-48 from equation 3;

<C = 3(38)-48

<C = 114-48

<C = 66°

<em>Hence the measures of the angles of the triangle are 38°, 66° and 76°</em>

You might be interested in
Help please! I’ll give brainliest too!
DIA [1.3K]

Answer:

y-intercept: -5

Slope: 4

Equation: y = 4x - 5

Step-by-step explanation:

✔️The y-intercept is the value of y when x = 0. From the table of values, it shows that when x = 0, y = -5. Therefore:

y-intercept (b) = -5

✔️using two pairs from the table, (1, -1) and (2, 3):

Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 -(-1)}{2 - 1} = \frac{4}{1} = 4

Slope = 4

✔️To write an equation for the function, substitute m = 4, and b = -5 into y = mx + b.

Thus:

y = 4x +(-5)

y = 4x - 5

7 0
3 years ago
How much is 160÷43×62
miv72 [106K]

Answer: 230.697

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
0.09 is one tenth of
liq [111]
<u>0.09</u> = <u>1 </u>
0.9      10

I hope this helps.

4 0
2 years ago
Read 2 more answers
(-3 * 10 to the power of 4) * (2 * 10 to the power of -3)
gayaneshka [121]
-3*10= -30 to the 4th power is 810,000
10 to the -3 power is -1000 * 2 is -2000

810,000 * -2000 = -1,620,000,000
8 0
3 years ago
QUICKKK!!!!! PLEASEEEEEEEEEE
Valentin [98]

Answer:

10.29 (rounded = 10.30)

Step-by-step explanation:

X = a^2 + b^2 = c^2

X = 9^2 + 5^2 = c^2

X = (81) + (25) = c^2

X = 106 = c^2

X = √106 = c^2

X = 10.295630141 = c^2

X = 10.03 = c^2 (10.03 is 10.295630141 rounded to the nearest tenth)

5 0
3 years ago
Other questions:
  • Jemma has 24 balls. Out of the 24 balls, 12 are yellow, 4 are pink, and the rest are red. What is the ratio of the number of red
    6·2 answers
  • I NEED THIS ASAP about the Pythagorean
    10·1 answer
  • Can i have help pls it soo hard
    7·2 answers
  • Please help me this is the only thing to change my F-.to an A+.:
    6·2 answers
  • -2(x+3)=-2x-6 solve for x
    13·1 answer
  • PLS HURRY I will give brainiest HELP ASAP
    14·2 answers
  • A farmer planted corn in two different fields. He planted 500 seeds of regular corn in Field A and 500 seeds of experimental cor
    12·2 answers
  • PLEASE PLEASE TRANSLATING A SENTENCE INTO AN EQUATION
    14·2 answers
  • The product of three consecutive integers is 3360. What is the sum of the three integers?
    5·1 answer
  • Seth took 30 inches of wire and cut it into
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!