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valina [46]
3 years ago
11

Determine m angle F by using the figure

Mathematics
1 answer:
matrenka [14]3 years ago
4 0

Answer:

The measure of angle F is m∠F=130°

Step-by-step explanation:

step 1

Find the measure of angle E

we know that

An isosceles triangle has two equal sides and two equal interior angles

In this problem

DF=EF ----> given problem

so

Triangle DEF is an isosceles triangle

m∠D=m∠E

we have

m∠D=25°

substitute

m∠E=25°

step 2

Find the measure of angle F

we know that

The sum of the measures of the interior angles in a triangle must be equal to 180 degrees

so

m∠D+m∠E+m∠F=180°

substitute the values

25°+25°+m∠F=180°

50°+m∠F=180°

m∠F=180°-50°

m∠F=130°

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Since real numbers are closed with respect to division (i.e. the division between two real numbers is again a real number), the fraction -\frac{m}{n} is a real number everytime both m and n are real numbers.

In other words, you can choose any real number m and any real number n, and their ratio will still be a real number.

Of course, you have to follow the only rule that you can't divide by zero, so the answer is more precisely

m \in \mathbb{R},\quad n \in \mathbb{R}\setminus\{0\}

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4 years ago
A company rents water tanks shaped like cylinders. Each tank has a radius of 5 feet and a height of 3 feet. The cost is 3 per cu
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Answer: the cost of renting one water tank is 706.5

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

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Where

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h represents the height of the cylinder.

π is a constant whose value is 3.14

From the given information,

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Therefore,

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If the cost is 3 per cubic foot, then the cost of renting one water tank is

235.5 × 3 = 706.5

3 0
3 years ago
Find the slope and y-intercept of the graph of the equation.
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The numbers in those places show us that 3 is in the slope spot and 8 is in the y-intercept spot.

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Which statement describes the sequence −9, −3, 3, 9, 15, …?
alukav5142 [94]

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Step-by-step explanation:

Easy math

7 0
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Read 2 more answers
On a grid, the distance between the points located at (1, -2) and (-9, 3) is roughly equal to _____.
rjkz [21]

Result

You entered the following points:

<span>A = <span>(<span> 1 , 2 </span>)</span></span>

<span>B = <span>(<span> −9 , 3 </span>)</span></span>

<span>The distance between points A and B is :</span>

<span>d(A,B)=<span>101<span>−−−</span>√</span> ≈ 10.0499</span>

Explanation

To find distance between points <span>A(<span>xA</span>,<span>yA</span>)</span> and <span>B(<span>xB</span>,<span>yB</span>)</span> , we use formula:

<span>d(A,B)=<span><span>(<span>xB</span>−<span>xA</span><span>)2</span>+(<span>yB</span>−<span>yA</span><span>)2</span></span><span>−−−−−−−−−−−−−−−−−−−</span>√</span></span>

In this example: <span><span>xA</span>=1</span> , <span><span>yA</span>=2</span> , <span><span>xB</span>=−9</span> and <span><span>yB</span>=3</span> so:

<span><span><span>d(A,B)</span><span>d(A,B)</span><span>d(A,B)</span></span><span><span>=<span><span><span><span>(<span>−9−1</span>)</span>2</span>+<span><span>(<span>3−2</span>)</span>2</span></span><span>−−−−−−−−−−−−−−−−</span>√</span></span><span>=<span><span>100+1</span><span>−−−−−−</span>√</span></span><span>=<span>101<span>−−−</span><span>√</span></span></span></span></span>

7 0
3 years ago
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