PLEASE HELP! An angle's measure is equal to 24 less than its complement. Find the measure of the angle.

This is geometry, I need help! Please and thanks!!

denis23 [38]

Problem 8

Answer: angle LSO and angle MSN

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Explanation:

Vertical angles form when we intersect two line segments, lines, or rays. Vertical angles are opposite one another and they are always congruent.

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Problem 9

Answer: angle LMS and angle SMN

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Explanation:

Adjacent angles share a common line, line segment, or ray. Think of two adjacent rooms sharing a common wall between them. In the case of the answer above, the two angles share the common segment SM (note how S and M are part of LMS and SMN)

When it comes to naming angles, the middle letter is always the vertex of the angle. This is the hinge so to speak. Or you could picture a pair of scissors. For angle LMS, the arms LM and SM are the two blades of the scissors while point M is where the blades meet.

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Problem 10

Answer: angle LSM and angle MSN

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Explanation:

Same idea as problem 9. Now we're making S the middle letter. Something like angle LSM is the same as angle MSL.

In this case, the two adjacent angles form a straight line. We consider these two angles a linear pair.

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Problem 11

Answer: angle LSO and angle OSN

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Explanation:

The term linear pair was discussed back in problem 10. So you could list those two angles again, or you could go with another pair as shown above. All that matters is that they are adjacent angles and they are supplementary angles (they add to 180 degrees). There are many possible answers.

Something like the angle pair angle LOS and angle NOS are adjacent angles, but they aren't supplementary. So we don't meet the condition of a linear pair here.

5 0

2 years ago

If the endpoints of the diameter of a circle are (6, 3) and (2, 1), what is the standard form equation of the circle?

Anastasy [175]

If the endpoints of a diameter are (6,3) and (2,1) the midpoint is the center of the circle so:

(x,y)=((6+2)/2, (3+1)/2)=(4,2)

Now we need to find the radius....the diameter is:

d^2=(6-2)^2+(3-1)^2

d^2=16+4

d^2=20 since d=2r, r=d/2, and r^2=d^2/4 so

r^2=5

The standard form of the circle is (x-h)^2+(y-k)^2=r^2 and we know:

(h,k)=(4,2) from earlier so:

(x-4)^2+(y-2)^2=5

8 0

3 years ago

Steven wants to increase the number of books he reads per year. He currently reads 2 books a year. He wants to triple the number

Sladkaya [172]

Answer:

$B=2\times 3^n$

Step-by-step explanation:

<u>Exponential Growing </u>

Steven currently reads 2 books a year. He wants to triple the number of books read per year. The first year he should read

$2*3 = 6\ books$

By the second year, he should read

$2*3^2 = 18\ books$

By the third year, he should read

$2*3^3 = 54\ books$

We can clearly see there is a geometric progression of the number of books he should read for the year n. The general formula is, being B the number of books read at the year n

$\boxed{B=2\times 3^n}$

8 0

2 years ago

A bag contains 4 red marbles, 16 yellow marbles, 5 purple, 16 blue marbles, and 10 green marbles. What is the probability of pul

Tasya [4]

red or green / total

4 + 10 / 4 +16 +5 +16 +10

14 / 51

8 0

3 years ago

I’m confused on this one

kvv77 [185]

The answer is 42.

The question is asking for angle N. We know from the question that angle N is equal to angle E (Don't think about the scale factor because it only applies to the sides. They're just trying to trick you).

To find angle E:
$79 + 6x + 11 + 7x - 14 = 180$
Move numbers to the right side:
$6x + 7x = 180 - 79 - 11 + 14$
Combine like terms:
$13x = 104$
Divide both sides by 13:
$x = 8$
The formula for angle E:
$7x - 14$
Plug in the 8:
$7 \times 8 - 14 = 56 - 14 = 42$
The angle measure of E is 42. So angle N is automatically 42 too.

To solidify, we can try to use the formula which they give us for angle N:
$3x + 18 = 24 + 18 = 42$

8 0

2 years ago