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3 years ago

Line a is parallel to line b, m<2 = 4x+44 , And m<6=6x+36. Find the value of x

Mathematics

1 answer:

Savatey [412]3 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

<2 and <6 are equal because of the corresponding angles thm so:

4x + 44 = 6x + 36

4x - 6x = 36 - 44

-2x = -8

x = 4

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3 years ago

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In the figure to the right, if AC = 15 and BC = 12, what is the radius?

Andrew [12]

Answer:

The radius is 9.0 units

Step-by-step explanation:

we know that

In the right triangle of the figure ABC

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$15^2=AB^2+12^2$

solve for AB

$AB^2=15^2-12^2\\AB^2=81\\AB=9\ units$

Remember the the side AB of right triangle represent the radius of the circle

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6 0

3 years ago

Find mL 1 and mL 2.

lesantik [10]

Answer:

8. ∠1=118° ∠2=118°

9. ∠1=72° ∠2=108°

10. ∠1=127° ∠2=127°

Step-by-step explanation:

8. In this problem, 118° is corresponding to ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, meaning that together, they equal 180°. So, to get ∠2, you must subtract 118° from 180°

9. In this problem, 72° is same side interior with ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, so you do 180°-72°= 108°

10. In this problem, ∠1 is vertical angles with 127°, making them equal to each other. ∠2 is corresponding with 127°, making them also equal.

5 0

2 years ago

An ice cream cone has a diameter of 3 inches.The distance from the top of the cone to the point at the bottom (height) is 5 inch

solong [7]

Answer:

11.781 cubic inches (round accordingly)

Step-by-step explanation:

The formula for the volume of a cone is:

$V=\frac{1}{3}\pi r^{2} h$

where r is the radius and h is the height.

For our ice cream cone:

d = 3 inches

r = 1.5 inches (the radius is half of the diameter)

h= 5 inches

So all we have to do is plug in our values and solve for the volume:

$\frac{1}{3}\pi (1.5)^{2}(5) = 11.781$

So our final answer is around 11.8 cubic inches.

3 0

3 years ago

Standard form of two hundred ten million, sixty four thousand,fifty

neonofarm [45]

We have to write the standard form of : two hundred ten million, sixty four thousand , fifty.
210 * 10,000,000 + 64 * 10,000 + 50
Answer:
The standard form is 210,064,050.

7 0

3 years ago