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
Ludmilka [50]
3 years ago
6

The measure of an angle is 8 degrees less than three times te measure another angle. If the two angles are supplementary, what i

s the measure of the larger angle?
Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0
Let's solve this problem step-by-step.

First of all, let's establish that supplementary angles are two angles which add up to 180°.
Therefore:

Equation No. 1 -
x + y = 180°

After reading the problem, we can convert it into an equation as displayed as the following:

Equation No. 2 -
3x - 8 + x = 180°

Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:

Equation No. 1 -
x + y = 180°
y = 180 - x

Then, let's make (x) the subject in the second equation & solve as displayed below:

Equation No. 2 -
3x - 8 + x = 180°
4x = 180 + 8
x = 188 / 4
x = 47°

After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:

y = 180 - x
y = 180 - ( 47 )
y = 133°

We are now able to establish that the value of the two angles are as follows:

x = 47°
y = 133°

In order to determine the measure of the bigger angle, we will need to identify which of the angles is larger.

133 is greater than 47 as displayed below:

133 > 47

Therefore, the measure of the larger angle is 133°.
You might be interested in
What is the image of (-1,0) after a reflection over the line y = -x?
umka2103 [35]

Answer:

(1,0)

Step-by-step explanation:

reflection is flipping

flipping over Y would make -, to + or + to -

in this case -1,0 becomes 1,0

7 0
3 years ago
Choose the best description for the real number square root of 35.
Liono4ka [1.6K]

\sqrt{35}

This cannot be simplified any further.

Have a good one!

3 0
2 years ago
Which of the following are among the five basic postulates of euclidean geometry
docker41 [41]

Answer : The Euclidean geometry is a mathematical system that is attributed to Alexandrian Greek mathematician Euclid. He described mostly about the Elements in geometry. The method consisted of assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.

The five basic postulates of euclidean geometry are as follows;

  1. A straight line may be drawn between any two points.
  2. A piece of straight line may be extended indefinitely.
  3. A circle may be drawn with any given radius and an arbitrary center.
  4. All right angles are equal.
  5. If a straight line crossing two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if extended indefinitely, meet on that side on which are the angles less than the two right angles.
6 0
3 years ago
Go step by step to reduce the radical. V108 VOVO try You must answer all questions above in order to submit.
katen-ka-za [31]

To reduce the radical, you have to factorize 108.

108 is a multiple of 3, so to factorize it, you can divide it by 3

\frac{108}{3}=36

You can rewrite the square root as:

\sqrt[]{3\cdot36}=\sqrt[]{3}\cdot\sqrt[]{36}

The square root of 36 is equal to 6 so you can write the expression as:

\sqrt[]{3}\cdot\sqrt[]{36}=6\sqrt[]{3}

5 0
1 year ago
Can someone please help me with this asap
Vikentia [17]
Add 5 to both sides The Addition Property of Equality
8 0
3 years ago
Other questions:
  • In the graph below, which descriptions relate to Figure c?
    8·1 answer
  • Yolanda is buying supplies for school. She buys n packages of pencils at 1.40 per package and m pads of paper at 1.20 each. What
    10·1 answer
  • A boy 1.5 m tall can just see the sun over a wall 71.5 m high which is
    7·1 answer
  • 1. Solve for x. Then find the angle measures of the<br>triangle?<br>(4x)<br>(6x+55)<br>(9x+30)​
    9·1 answer
  • Ayden and his children went into a grocery store and where they sell peaches for $0.75 each and mangos for $1.75 each. Ayden has
    8·1 answer
  • Which number will make the two fractions equivalent? 6/7=?/21
    11·2 answers
  • Simplify.<br> <img src="https://tex.z-dn.net/?f=m%5Csqrt%7Bp%7D%20%2B%20n%5Csqrt%7Bp%7D%20-%20%5Csqrt%7Bp%7D" id="TexFormula1" t
    9·1 answer
  • What is 0.8 simplified to a fraction?
    11·2 answers
  • The following table shows a proportional relationship between x and y.
    8·1 answer
  • Which set of ordered pairs does not represent a function?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!