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
butalik [34]
3 years ago
13

Using the WASA, USA task if the measure of angle 32 is 118 degrees. Find

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Step-by-step explanation:

The first step is to locate and define the variables.

We are working with complementary angles which  are "either of two angles whose sum is 90°".  Therefore, our job is to find the degrees of 2 angles. We want to determine the algebraic equation for the sum of these two angles, we need a variable representing the second, complementary angle, let's say x. Next, let's use the information provided to write only the expression.

It states "an angle measures 32 degrees MORE THAN the measure of its complementary angle". Whenever we see the words "more than" we know we will be adding. If the complementary, second angle is represented as the variable x, then 32 more than x (x + 32) represents the first angle measure.  

To summarize what we have so far:

x+32 = (is) the value of the FIRST angle measure

x = (is) the value of the SECOND angle measure

We know that when these two angles are added TOGETHER they equal 90°

Therefore, x + 32 + x = 90° . But we aren't done yet! We have to solve for x in order to find the measure of BOTH angles:  

x + 32 + x = 90°  Our algebraic equation for this word problem

2x + 32 = 90°   Combine like terms  

 2x = 58   Subtract 32 from both sides of the equation, so that variables are on one side and              constants on the other side.

   x = 29°   Divide by 2 on both sides of the equation (we want to solve for x)

Now that we have solved for x, the measure of the SECOND, complementary angle, we can solve for the first angle.  

x+32 = (is) the value of the FIRST angle measure

29 + 32 = 61°   substitute x for its value, 29

Lastly, Check your work:  

29 + 61 = 90°  

90° = 90° ✓

You might be interested in
The standard configuration for an Arizona license plate is 3 digits (0 - 9) followed by 3 letters (of 26). If you can not repeat
Anna71 [15]

Answer:

11232000 plates can be made.

Step-by-step explanation:

The order of the digits and of the letters is important. For example, ABC is a different configuration than CBA. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

3 digits from a set of 10(there are 10 digits from 0 to 9).

3 letters from a set of 26. So

Total:

T = P_{(10,3)} \times P_{(26,3)} = \frac{10!}{(10-3)!} \times \frac{26!}{(26-3)!} = 11232000

11232000 plates can be made.

5 0
3 years ago
What does it mean when two functions are inverse of each other?
mariarad [96]
They are the opposite of each other.  Like if one function has the point (1,3) the inverse function with have the point (3,1)
4 0
3 years ago
I only need the step by step the answer is correct but I need step by step. Thx if u answer dis.
Rainbow [258]
I toltaly agree with you
4 0
3 years ago
Read 2 more answers
Explain why there must be at least two lines on any given plane.
Ghella [55]
There must be 2 lines on every plane because you need a y-axis and an x-axis.
6 0
3 years ago
Read 2 more answers
What's the best prouduct of these fractions 4/7×8/9×14/15​
sladkih [1.3K]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>448/945</em>

<em />

▹ Step-by-Step Explanation

\frac{4}{7} * \frac{8}{9} \\\\= \frac{32}{63} \\\\\\\frac{32}{63} * \frac{14}{15\\} \\\\= \frac{448}{945}

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

6 0
3 years ago
Read 2 more answers
Other questions:
  • How to complete the proof
    12·1 answer
  • What is the only solution of 2x^+8=x^-16
    9·2 answers
  • an exterminator must treat the perimeter of a house for insects if the house is 90 feet long and 30 feet wide what is the total
    8·1 answer
  • Which of the list of letters all have line symmetry?
    10·1 answer
  • Mark knows that his yard is 214 times as long as it is wide. Which equation shows the length, in feet, of the fence that goes al
    6·1 answer
  • PLZ HELPP REWARD BRIANLIEST
    15·1 answer
  • Name the marked angle in 2 different ways.
    9·1 answer
  • Suppose one batch of cookies requires ⅔ cup of flour. How many batches can be made with 4 cups of flour?
    13·2 answers
  • PLS HELP ITS ALMOST DUE 3 MINUTES I GIVE BRAINLIEST!
    9·2 answers
  • URGENT: (TIMED) Determine the equation of the circle graphed below.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!