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
GenaCL600 [577]
3 years ago
14

The measures of two supplementary angles are (4x + 8) and (6x + 3)º.

Mathematics
2 answers:
Illusion [34]3 years ago
7 0

Step-by-step explanation:

A supplementary angle is an angle that is 180 degrees. We are given two angles that add up to 180, but we need to solve for x first.

The first step is to solve both angles. We know that both angles added together are supplementary, so they are equal to 180.

4x + 8 = unknown angle

6x + 3 = unknown angle

(4x + 8) + (6x + 3) = 180

Because we know a supplementary angle is 180 degrees, we can solve for x to find both angles.

Solve for x.

(4x + 8) + (6x + 3) = 180

10x + 11 = 180

10x = 169

x = 16.9

Now, we know the value of x, so we plug in x for both angles to determine which angle is smaller.

4x + 8

4(16.9) + 8

67.6 + 8 = 75.6 degrees

and the other angle

6x + 3

6(16.9) + 3

101.4 + 3 = 104.4 degrees

Now we know that the smaller angle is 75.6 degrees.

Also, to make sure the math is correct, when plugging in both numbers after finding x, they should add to 180.

75.6 + 104.4 = 180 so we know they are supplementary for sure.

Good luck!

klio [65]3 years ago
7 0

Answer:

OD. 75.6°

Step-by-step explanation:

Given:

Two supplementary angles (4x + 8) and (6x + 3)

Solve x :

(4x + 8) + (6x + 3) = 180

4x + 8 + 6x + 3 = 180

10x + 11 = 180

10x = 169

x = 16.9

Find the two angles:

4x + 8 = 4(16.9) + 8 = 75.6°

6x + 3 = 6(16.9) + 3 = 104.4°

smaller angle = 75.6°

Check:

75.6° + 104.4° = 180°

You might be interested in
Convert this number given in standard form into scientific notation. 0. 0000069 What is the value in scientific notation? 0. 69
Len [333]

Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B: 6.9 \times 10^{-6}

<h3>How does scientific notations work?</h3>

The number is written in the form a \times 10^b where we have 1 \leq a < 10

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

  • Better readability due to compact representation
  • Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.


For the given case, the number in consideration is 0.0000069

Rewriting it in fraction form, we get:

0.0000069  = \dfrac{69}{10000000} = \dfrac{69}{10^7} = 69 \times 10^{-7} = 6.9 \times 10 \times 10^{-7}\\\\0.0000069  =  6.9 \time 10 ^{-7 +1} \\0.0000069  = 6.9\times 10^{-6}

(we used two facts: first that : \dfrac{a}{b} = a \times \dfrac{1}{b}

and second that: a^{-b}= \dfrac{1}{a^b}

Thus, the value of the given number in scientific notation is given by: Option B: 6.9 \times 10^{-6}

Learn more about scientific notations here:

brainly.com/question/3112062

8 0
2 years ago
Solve the problem 8 - 2 9/14=
love history [14]
Improper Fraction =75/14
Mixed Number=5 5/14
8 0
2 years ago
Convert y=x^2+8x+7 to intercept form
jek_recluse [69]

Answer:

roots: (-7, 0) (-1,0)

Vertical Intercept: (0,7)

x^1=-7 , x^2= -1

if that's not the right information just let me know!!

4 0
2 years ago
Plssss I need help Im in classsss plsss
Sav [38]

Step-by-step explanation:

Y=-4x+3

2x+3y=19

2x+3(-4x+3)=19

2x-12x+9=19

-10x=10

X=-1

y=-4*(-1)+3=4+3=7

x=-1 y=7

5 0
3 years ago
4. A rectangular field has a perimeter of 300m. What is the area of the field if the length of
USPshnik [31]

Answer:

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Hannah and anthony are siblings who have ages that are consecutive odd integers. The sum of their ages is 92. Which equations co
    14·1 answer
  • Two girls and three boys are representing a team in a rowing competition. If the two girls can't sit at the two ends, what are t
    8·1 answer
  • Simplify : this problem
    15·1 answer
  • What is 2 3/5 minus 1 1/7
    13·2 answers
  • A town has a population of 10000 and grows at 5% every year. What will be the population after 5 years, to the nearest whole num
    13·1 answer
  • Please i need some questions please forward it to me.<br>cause i need some points if you would mind​
    5·1 answer
  • Question 7(Multiple Choice Worth 1 points) (08.02 LC) Eva conducted a survey to find out the amount of time high schoolers spend
    13·1 answer
  • 5. Noah has a coupon for 30% off at his favorite clothing store. He uses it to buy a
    14·1 answer
  • In ΔEFG, the measure of ∠G=90°, EG = 11, FE = 61, and GF = 60. What ratio represents the sine of ∠F?
    6·1 answer
  • WILL GIVE BRAINLIEST
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!