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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° ✓

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MrMuchimi

Answer:

50 hammers and 20 wrenches.

Step-by-step explanation:

Let x represent number of hammers and y represent number of ranchers.

We have been given that a store sold 70 hammers and ranchers. We can represent this information in an equation as:

x+y=70...(1)

We are also told that each hammer sold for $10 and each rancher sold for five dollars resulting a total of 600.00. We can represent this information in an equation as:

10x+5y=600...(2)

From equation (1), we will get:

x=70-y

Substituting this value in equation (2), we will get:

700-10y+5y=600

700-5y=600

700-700-5y=600-700

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\frac{-5y}{-5}=\frac{-100}{-5}

y=20

Therefore, 20 wrenches were sold.

Now, we will substitute y=20 in equation (1) as:

x+20=70

x+20-20=70-20

x=50

Therefore, 50 hammers were sold.

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Lena [83]

Answer:

2.39 cm

Step-by-step explanation:

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Five guys walk into a bar, how many ways can they sit so as to be arranged from oldest to youngest?
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There are 24 ways in which 5 guys can sit if arranged from oldest to youngest.

We have,

Five guys.

Now,

We know that,

Total number of ways to arranged around a table (n) = (n-1)!

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For n = 5,

I.e.

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Total number of ways to arranged Five guys rom oldest to youngest (n) = (n-1)!

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We get,

= 4 × 3 × 2 × 1

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Total number of ways to arranged Five guys rom oldest to youngest (n) = 24.

Hence we can say that there are 24 ways in which 5 guys can sit if arranged from oldest to youngest.

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brainly.com/question/15032503

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Step-by-step explanation:

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