Write an equation and solve. If four times Catherine’s age is subtracted from 5 times Jose’s age, the difference is 32 years. Jose is sixteen. Find Catherine’s age.

Angles <1 and <3 are proven to be congruent because they are both supplementary to the same angle <2, thus having the same measure as per the transitive property of equality.

When given that <1 and <2 are supplementary and that <2 and <3 are supplementary, we can prove that <1 is congruent to <3 through a series of logical steps. By definition, supplementary angles add up to 180 degrees. Therefore, if <1 and <2 are supplementary, we can write this as: m<1 + m<2 = 180 degrees (1). Similarly, if <2 and <3 are supplementary, that looks like: m<2 + m<3 = 180 degrees (2). By transposing m<2 from equation (1) to (2), we get m<1 = m<3, which implies that <1 is congruent to <3, as they have the same measure. This reflects the transitive property of equality where if a = b and b = c, then a = c. This conclusion demonstrates the Theorem 12, which states that if two angles are congruent to each other, their supplementary angles are also congruent.

Answer: here you go (PIC)

hope it helps

Answer:

B

Step-by-step explanation:

I took the test and I got it correct

Answer:

Given : George is driving at an average speed of 62 miles per hour.

To Find : Write an expression that would give his distance traveled for h hours.

Solution:

Speed = 62 miles/hour

Time = h hours

[tex]Distance = Speed \times Time[/tex]

[tex]Distance = 62h[/tex]

So, an expression that would give his distance traveled for h hours is [tex]Distance = 62h[/tex]

Now we are supposed to Make a table that records his distance for 3, 5.5, 7, and 8.5 hours.

So, At h = 3

[tex]Distance = 62(3)[/tex]

[tex]Distance = 186[/tex]

So, At h = 5.5

[tex]Distance = 62(5.5)[/tex]

[tex]Distance = 341[/tex]

So, At h = 7

[tex]Distance = 62(7)[/tex]

[tex]Distance =434[/tex]

So, At h = 8.5

[tex]Distance = 62(8.5)[/tex]

[tex]Distance =527[/tex]

So, Table :  

      Hours                  Distance (miles)

        3                             186

       5.5                           341

        7                             434

       8.5                          527

The scuba diver descended 17.6 meters.

To find the distance the scuba diver descended, subtract the starting depth from the ending depth. In this case, the starting depth is 85.6 meters below the surface and the ending depth is 103.2 meters below sea level. So, the distance the scuba diver descended is 103.2 - 85.6 = 17.6 meters.

Answer:

6,751.76 miles

Step-by-step explanation:

Given

distance between Cameron and jonesville = 80 miles

scale on the map is 0.75 inches (10 miles)

To determine the Distance apart of the cities on the map we use a proportion

Therefore

Let x represent the distance apart

0.75 inches/10 miles = 80 miles/ x miles

Cross multiply

0.75x = 80 miles × 10 miles

x = 800 miles/0.75 inches

Convert 0.75 inches to miles = 1.184 × 10-5 mile

Therefore 800miles/1.184 × 10-5 mile

x = 6,751.76 miles

Estimation helps to place the decimal point in a product correctly by counting the numbers of figures after the decimal points prior to finding the product, then shifting the decimal point from the back to the front in the order with which you've earlier counted it after the finding the product.

Estimation is used to approximate a large number of a particular number to its nearest whole number or significant figures.

The use of decimal points in estimation helps to separate the fractional part from the whole number.

For example, if we want to find the product of 4.23 and 2.1, we have three numbers altogether after the decimal point.

So;

       4.23

×         2.1

    4  2  3

8  4  6    

8  8  8  3  

So, starting from the back to the front, we will shift the decimal point in three places. Then the product of 4.23 and 2.1 is 8.883

Therefore, we can conclude that we've fully understood how estimation help you place the decimal Point in a product correctly.

Learn more about estimation here;

https://brainly.com/question/16099852?referrer=searchResults

The equation of the linear function will be y = (2/3)x + 4.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A function with a rate of change of 2/3 and an initial value of 4. Then the equation of the linear function is given as,

y = (2/3)x + 4

The equation of the linear function will be y = (2/3)x + 4.

More about the function link is given below.

https://brainly.com/question/5245372

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Answer:

The answer is n with the less than sign with it underlined and then 9 on the left side

Step-by-step explanation:

The reason why it is the less than sign with it underlined is because the problem says the greatest value and that sign mean at most which is also the greatest.