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3 years ago

Solve 2x<10. Explain how to find the solution set.

Mathematics

2 answers:

victus00 [196]3 years ago

7 0

Answer:

X<5

Step-by-step explanation:

Divide by 2

34kurt3 years ago

4 0

Answer=5

Step-by-step explanation:

You can solve this question step by step as follows;

here

2x<10

place 2 to another side and you know it divides 10

or, x<10/2

or,x<5

therefore the answer is 5

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Given a regular decagon, find the measures of the angles formed by (

Sonja [21]

A decagon has 10 sides (think decade and decathlon). From the center of the decagon we draw the radii and in doing so we take the area of the decagon and divide it into 10 congruent Triangles.

The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.

Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.

Thus the answer to the second part, trhe measure of the angle between a radius and the side of the polygon is 72 degrees.

3 0

3 years ago

A river is flowing at the speed of 2 miles per hour. A kayaker moves 528 feet upstream in 20 minutes. At this rate, how fast wou

CaHeK987 [17]

D=rt
r=(boatrate+riverrate)=(x+2)mph

d=528ft=528/5280mi=1/10mi
t=1/3hr
remember to keep the same units
so

1/10=(x+2)(1/3)
times both sides by 3
3/10=x+2
minus 2 or 20/10
-17/10=x
-1.7=x
it would be going -1.7mph (means going backwards)

4 0

3 years ago

Find the length of GI in the triangle below. Show your work.

love history [14]

Answer:

<u>The length of GI is 90.06 units</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

GH = 60 units

HI = 42 units

∠H = 123°

2. Using the Law of Cosines, we can find the length of GI, this way:

GI² = GH² + HI² - 2 * GH * HI * cos ∠H

Replacing with the real values:

GI² = 60² + 42² - 2 * 60 * 42 * cos ∠123°

GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545

GI² = 3,600 + 1,764 + 2,746.8

GI² = 8,110.8

<u>GI = √ 8,110.8 = 90.06 units</u>

4 0

3 years ago

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Suppose Z Varies directly with x and inversely with y, where x = 16, y = 4, when z = 32...............

Greeley [361]

A.)
Z = kx/y where k is a constant.
32 = 16k/4
k = 128/16
k = 8

z = 8x/y

b.)
Z = 8(21)/6
Z = 28

c.)
4 = 8x/48
x = 192/8
x = 24

6 0

3 years ago

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Square root of 243 please

mart [117]

Answer:

15.5884572681

Step-by-step explanation:

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2 years ago

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