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jok3333 [9.3K]
3 years ago
5

The isosceles trapezoid is part of an isosceles triangle with a 34 degree vertex angle. What is the measure of an acute base ang

le of the trapezoid?
Mathematics
1 answer:
Sonja [21]3 years ago
4 0
For the answer to the question above asking<span> what is the measure of an acute base angle of the trapezoid?
</span>n acute base angle of the trapezoid would be the same as the triangle. 

<span>subtract 34º from 180º, then divide by 2. </span>

<span>(180 - 34)/2 = 73º 
</span>I hope my answer helped you.
You might be interested in
Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21
frozen [14]

Answer:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

Step-by-step explanation:

METHOD 1:

5x+7(x+1)=5x-21

5x+7x+7=5x-21

12x+7=5x-21

12x-5x=-21-7

7x=-28

x=28/7

x=4

METHOD 2:

5x+7(x+1)=5x-21

5x+7(x+1)=5x-21-5x

7(x+1)=-21

7x+7=-21

7x=-28

x=4

6 0
3 years ago
Which describes the correct procedure when converting a number from scientific notation to standard notation if the power of 10
jenyasd209 [6]

Answer:

A. Move the decimal point to the left

Step-by-step explanation:

Given that:

The scientific notation = 10⁻¹⁰

Let recall;

That the standard notation usually took the form of an inverse:

For example;

Let say 10⁻¹ will be \dfrac{1}{10} in scientific notation;

SO, \dfrac{1}{10} = 0.1

Now; we are given 10⁻¹⁰ as a scientific notation,

To standard notation, we get:

10^{-10} = \dfrac{1}{100}

= 0.01

Thus, it is true to say that the decimal point will be moved to the left side when converting a number from scientific notation to standard notation if the power of 10 is  -10.

4 0
2 years ago
Perform the indicated operation:
yaroslaw [1]

The expression \frac{m^{2}-16\cdot n^{2}}{\frac{3\cdot m + 12\cdot n}{m\cdot n} } is equal to \frac{m^{2}\cdot n}{3} -\frac{4\cdot m\cdot n^{2}}{3}.

<h3>How to simplify a composite algebraic expression</h3>

In this question we must use properties of <em>real</em> algebra to simplify a given expression as most as possible. We proceed to show each step with respective reason.

  1. \frac{m^{2}-16\cdot n^{2}}{\frac{3\cdot m + 12\cdot n}{m\cdot n} }  Given
  2. \frac{m\cdot n \cdot (m^{2}-16\cdot n^{2})}{3\cdot m + 12\cdot n}   \frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{c\cdot b}
  3. \frac{m\cdot n \cdot (m-4\cdot n)\cdot (m+4\cdot n)}{3\cdot (m+4\cdot n)} Distributive property/a^{2}-b^{2} = (a +b)\cdot (a-b)
  4. \frac{m\cdot n \cdot (m-4\cdot n)}{3} Existence of the multiplicative inverse/Modulative property
  5. \frac{m^{2}\cdot n}{3} -\frac{4\cdot m\cdot n^{2}}{3} Distributive property/x^a\cdot x^{b} = x^{a+b}/Result

To learn more on algebraic expressions, we kindly invite to check this verified question: brainly.com/question/953809

7 0
2 years ago
A family on vacation records the time in hours) and the distance (in miles) that they travel. The data are shown in the scatter
nata0808 [166]

Answer:

In the first 3.5 hours, the family travelled 175 miles.

Step-by-step explanation:

We have the table:

time (hours)              distance ( miles)

      0                                   0

      1                                   50

       2                                 100

      3                                  150

      4                                 200

      5                                 250

      6                                 300

      7                                 350

      8                                 400

      9                                 450

This seems like a linear relationship, let's write the general line:

y = a*x + b

That represents this situation, y is the distance in miles and x is the time in hours.

In the line equation, a represents the slope and b the y-intercept.

And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)

So if we use the first two (0, 0) and (1, 50)

the slope is:

a = (50 - 0)/(1 - 0) = 50

Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:

a = (250 - 200)/(5 - 4) = 50/1 = 50

So we can conclude that the slope of the equation is a = 50

Then the equation is something like:

y = 50*x + b

To find the value of b, we can use any of the points of the line, for example (0, 0)

This means that when x = 0, y also must be 0, then:

0 = 50*0 + b

0 = b

Then the equation is:

y = 50*x

Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:

y = 50*3.5 = 175

In the first 3.5 hours, the family travelled 175 miles.

6 0
3 years ago
At an amusement park , the cost of 3 adult tickets and 4 children’s ticket is $126.50 another customer paid $120.50 for 2 adult
KonstantinChe [14]

Answer:

1 Adult ticket=$21.50 ; 1 Children ticket=$15.50

Step-by-step explanation:

3A+4C=126.50

2A+5C=120.50

We find the price of adult tickets 1st.

15A+20C=632.5

8A+20C=482

7A=632.5-482=150.5

1A=21.50

Now we find Children ticket

6A+8C=253

6A+15C=361.50

7C=108.50

1C=15.50

4 0
3 years ago
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