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
A sphere has a diameter of 24 units. What is its volume in cubic units?
DiKsa [7]
Hello!

The equation to find the volume of a sphere you use the equation

\frac{4}{3}  \pi  r^{3}

r is radius which is half the diameter

put in 3.14 for pi and 12 for r

\frac{4}{3} *3.14* 11^{3}

This gives us the answer of 7234.56 cubic units

Hope this helps!
4 0
3 years ago
Read 2 more answers
________ are numbers equally likely to be chosen from a large population of numbers.
ki77a [65]

A simple random sample are numbers equally likely to be chosen from a large population of numbers.

<h3>What is Population?</h3>

This is defined as the total number of people or variables present in an area over a given period of time.

Numbers are usually chosen at random from a large population for different reasons and are referred to as simple random sample because they have an equal probability of being chosen.

Read more about Sampling here brainly.com/question/24466382

#SPJ4

8 0
1 year ago
Paul sold 162 cans of lemonade in 5 hours. About how many cans of lemonade did he sell each hour.
just olya [345]
Paul sold 32 cans per hour
8 0
3 years ago
The large rectangle below represents one whole. A large rectangle with 25 equal sections, 11 of which are shaded What percent is
Umnica [9.8K]

fourty four percent hope this helps !

4 0
3 years ago
The temperature in Vancouver is -8ºC, in Montreal it is -4ºC , in Seattle it is -6ºC, and in Buffalo it is -10ºC. Which city is
Marina CMI [18]

Answer:

Buffalo

Thats the answer because temp is decreasing back so 10 is higher plus lower than all

8 0
3 years ago
Other questions:
  • Look at the table. Make a conjecture about the sum of the first 25 positive even numbers.
    7·2 answers
  • the population of Linton is 12 times as great as the population of Elmore the combined population of both towns is Mount de Sale
    7·1 answer
  • to rent a certain meeting room, a college charges a reservation fee of $47 and an additional fee of $9.60 per hour the chemistry
    6·1 answer
  • W r i t e 0 . 0 0 4 0 6 i n s c i e n t i f i c n o t a t i o n
    13·1 answer
  • 6x - 4 = x + 6
    11·2 answers
  • ellie brought 60 cookies to class today. 30% of them have mint filing. how many cookies have the mint filling
    15·2 answers
  • The number of hours of​ daylight, H, on day t of any given year​ (on January​ 1, tequals​1) in a particular city can be modeled
    13·1 answer
  • Nigel makes the claim that x=6 is the solution to the equation 4(5x−12)−7x=5x. His work to support his claim follows. Given: 4(5
    5·1 answer
  • Im need help please!!!
    9·1 answer
  • Write the product in standard form.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!