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Gelneren [198K]
3 years ago
13

Four interior angles of a pentagon measure 156°, 72°, 98°, and 87°. What is the measure of the final interior angle?

Mathematics
2 answers:
Svet_ta [14]3 years ago
5 0
The final interior angle is 127<span>°.  Pentagons' interior angles add up to 540, so you add the ones you know together, subtract the big number from 540, and you have your answer.  </span>
Alinara [238K]3 years ago
5 0
127 because when you add up 156,72,98,87 it equals 413 and for a pentagon's interior angle it equals 540 so 540-413
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The perimeter of the triangular park shown on the right is 14x-5. What is the missing​ length?
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Answer:70

Step-by-step explanation:

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Find the slope of each line.<br> 1)
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Anyone help me with this please I can’t seem to get my head around it xx
vova2212 [387]

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3 years ago
Which of the following is the solution for 7 - 4x ≥ 35 ?
melamori03 [73]
There are no solutuons listed (says which of the following). My answer below should be in the list to choose from.

7 - 4x ≥ 35
subtract 7 from both sides

-4x ≥ 28
divide both sides by -4 AND change the direction of the inequality sign because we're dividing by a negative

x ≤ -7

CHECK:
7 - 4x ≥ 35
7 - 4(-7) ≥ 35
7 + 28 ≥ 35
35 ≥ 35

ANSWER: x ≤ -7

Hope this helps! :)
7 0
3 years ago
Please help i put a picture below
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

This is not nearly as threatening and scary as I first thought it was.  You must be in the section in Geometry where you are taught that perimeter of similar figures exist in a one-to-one relationship while areas of similar figures exist in a squared-to-squared relationship.  We will use that here.  

The area formula for a regular polygon is

A=\frac{1}{2}ap where a is the apothem and p is the perimeter.  We are first asked for the area of the polygon, but it would make more sense to find the perimeter first, since we need it to find the area.

P = 5(8) so

P = 40

We are given that the area of the triangle inside that polygon is 22.022 units squared.  Knowing that the area formula for a triangle is

A=\frac{1}{2}bh we can sub in what we know and solve to find the height:

22.022=\frac{1}{2}(8)h and

22.022 = 4h so

h = 5.5055 units

It just so happens that the height of that triangle is also the apothem of the polygon, so now we have what we need to find the area of the polygon:

A=\frac{1}{2}(5.5055)(40)

which gives us an area of

A = 110.11 units squared.

Here is where we can use what we know about similar figures and the relationships between perimeters and areas.  We will set up a proportion with the smaller polygon info on top and the larger info on bottom.  We know that the larger is 3 times the smaller, so the ratio of smaller to larger is

\frac{s}{l}:\frac{1}{3}

Since perimeter is one-to-one and we know the perimeter of the smaller, we can create a proportion to solve for the perimeter of the larger:

\frac{s}{l}:\frac{1}{3}=\frac{40}{x}

Cross multiply to get that the perimeter is 120 units.  You could also have done this by knowing that if the larger is 3 times the size of the smaller, then the side measure of the larger is 24, and 24 * 5 = 120.  But we used the way we used because now we have a means to find the area of the larger since we know the area of the smaller.

Area exists in a squared-to-squared relationship of the perimeter which is one-to-one.  If the perimeter ratio is 1:3, then the area relationship is

\frac{s}{l}:\frac{1^2}{3^2} which is, simplified:

\frac{s}{l}:\frac{1}{9}

Since we know the area for the smaller, we can sub it into a proportion and cross multiply to solve for the area of the larger.

\frac{s}{l} :\frac{1}{9} =\frac{110.11}{x}

A of the larger is 990.99 units squared

5 0
3 years ago
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