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babunello [35]
3 years ago
7

Help! Match each linear equation with its graph

Mathematics
1 answer:
Bond [772]3 years ago
6 0

Answer:

y = -1/4 x+4 is blue

y = 1/2 x+4 is green

y = 3x is red

y = -1/2x is purple

y = 3 is black

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If the arc length shown in blue is 21.3 inches, then 0 to the nearest hundredth of a<br> radian is
Anton [14]

Answer: \theta\approx1.78\ rad

Step-by-step explanation:

By definition, the Arc lenght can be calculated with the following formula:

s=r\theta

Where "s" is the Arc lenght, "r" is the radius and \theta is the central angle measured in radians.

From that equation you can solve for \theta dividing both sides of the equation by the radius "r", then:

\frac{s}{r}=\frac{r\theta}{r}\\\\\theta=\frac{s}{r}

According to the information given in the exercise:

s=21.3\ in

And you can identify in the figure that the radius of the circle is:

r=12\ in

Therefore, you can substitute values into the equation:

\theta=\frac{21.3\ in}{12\ in}

Finally, evaluating, you get the following result:

\theta=1.775\ rad

Rounded to the nearest hundredth of a radian:

\theta\approx1.78\ rad

8 0
4 years ago
John is making a snack. the recipes call for 3/8 cups of water for oats and 1/4 cups of water for dried fruit. She only has 1 cu
Nitella [24]

Answer:

Yes

Step-by-step explanation:

1 cup= 8/8 cup

1/4 = 2/8

2/8 + 3/8 = 5/8

5/8 is less than 8/8, so they have enough water

3 0
3 years ago
Verify that QT is Parallel to RS using the triangle proportionality theorem.
alexdok [17]

The triangle proportionality theorem is

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

So to prove QT parallel to RS, we have to show

\frac{PQ}{QR} = \frac{PT}{TS}

Substituting the values, we will get

\frac{18}{38} = \frac{36}{80}&#10;\\&#10;0.47368421=0.45

Which are not equal, therefore the lines are not parallel .

6 0
3 years ago
Given the triangles above, what is the measure, in degrees, of angle x?
kow [346]

Answer:

100

Step-by-step explanation:

<x is congruent to the angle that measures 100°.

x = 100

6 0
2 years ago
Read 2 more answers
ann and betty share a sum of money in the ratio 2:3 respectively ann recived 120 what was betty's share
nirvana33 [79]
Make a proportion, 2/3=120/x. now solve for x, and get betty has 180 
6 0
3 years ago
Read 2 more answers
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