Complementary, supplementary, adjacent, and vertical angles(Best answer with explanation gets brainliest)
Answers
Answer:
The information you provided appears to be a list of angles along with terms related to angles.
1. 29°: This is the measure of an angle. It represents an angle that is less than 90° and is called an acute angle.
2. J7: It is not clear what "J7" represents in this context. If you could provide more information or clarify its meaning, I would be happy to help.
3. 61°: This is another measure of an angle. It represents an angle that is less than 90° and is also called an acute angle.
4. یاب: "یاب" is a Persian word meaning "find" or "solve." In the context of angles, it is not clear what it refers to. If you have a specific question or problem related to angles, please provide more details so I can assist you further.
5. 45°: This is the measure of an angle. It represents an angle that is exactly half of a right angle and is called a right angle.
6. 2: It is not clear what "2" represents in this context. If you could provide more information or clarify its meaning, I would be happy to help.
7. 135⁰: This is another measure of an angle. It represents an angle that is greater than 90° but less than 180°. It is called an obtuse angle.
The terms mentioned in the list, such as "Complementary Angles," "Adjacent Angles," "Vertical Angles," and "Supplementary Angles," are concepts related to angles:
- Complementary Angles: Two angles are considered complementary if the sum of their measures is equal to 90°. For example, if one angle measures 30°, the other angle that makes it complementary would measure 60°.
- Adjacent Angles: Two angles are considered adjacent if they have a common vertex and a common side between them. In other words, they share a ray. For example, if you have a straight line and divide it into two angles at a point, those angles would be adjacent.
- Vertical Angles: Vertical angles are formed by two intersecting lines. They are opposite each other and have equal measures. For example, if two lines intersect and form four angles, the angles that are opposite to each other (across the intersection) are vertical angles.
- Supplementary Angles: Two angles are considered supplementary if the sum of their measures is equal to 180°. For example, if one angle measures 120°, the other angle that makes it supplementary would measure 60°.
If you have any specific questions about these concepts or would like further clarification, please let me know!
Answer:
1. Complementary.
2. Adjacent.
3. Vertical.
4. Supplementary.
Step-by-step explanation:
The options we have are complementary, supplementary, adjacent, and vertical angles. So we should probably start by explaining briefly what each of these are.
Complementary angles are angles that when added together, equal 90°.
Supplementary angles are angles that when added together, equal 180°.
Adjacent angles are angles with a common side and a common vertex (they share a side and start from the same point).
Vertical angles are pairs of opposite angles made by two intersecting lines.
1. Let's look at the first option. We see two angles marked, 61° and 29°. Note that 61 and 29 add to 90. That means these angles must be complementary.
2. Let's look at the second option. We see two angles marked, 1 and 2. Note that the share a side (the line/arrow between them) and a vertex (they start from the same point. That means these angles must be adjacent.
3. Let's look at the third option. We see two angles marked, 1 and 2. Note that they are made by two intersecting lines and are located opposite each other. That means these angles must be vertical.
4. Finally, let's look at the second option. We see two angles marked, 45° and 135°. Note that 45 and 135 add to 180. That means these angles must be supplementary.
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Simplest form for 1.4/7
Answers
Answer:
The area of triangle is 59.2 in².
Step-by-step explanation:
If a, b and c are three sides of a triangle then the area of triangle by heron's formula is
.... (1)
where,
From the given figure it is clear that the length of sides are 12 in, 18 in and 28.8 in. The value of s is
Substitute s=29.4, a=12, b=18 and c=28.8 in equation (1).
Therefore the area of triangle is 59.2 in².
Answer:
65.8 in²
Step-by-step explanation:
Given a triangle with 2 sides and the included angle then the area (A) is
A = 0.5 × a × b × sinΘ
where a, b are the 2 sides and Θ the included angle
here a = 18, b = 12 and Θ = 147°, hence
A = 0. 5 × 18 × 12 × sin147°
= 108 × sin147° ≈ 65.8 ( to the nearest tenth )
8.25
x6.75
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Answer: 55.6875
Step-by-step explanation:
Answer:
8.25
x6.75
Step-by-step explanation:
55.6875
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B. 334^x=2/3
C. (3x)^2=324
D. 3x^2=324
Answers
Answer:
Option C: (3*x)^2 = 324
Step-by-step explanation:
Janene is solving the equation:
Log₃ₓ(324) = 2
First, some rules we need to remember:
Logₙ(x) = Ln(x)/Ln(n)
and:
Ln(x^b) = b*Ln(x)
So we can rewrite our expression as:
Log₃ₓ(324) = Ln(324)/Ln(3*x) = 2
Ln(324) = 2*Ln(3*x)
Now we can use the second property:
Ln(324) = 2*Ln(3*x) = Ln( (3*x)^2 )
The arguments in both sides must be the same thing, then:
324 = (3*x)^2
This is the exponential equation she needs to solve.
Then the correct option is C.
Answers
y = a(x + 16)(x + 2)
72 = a(-18 + 16)(-18 + 2)
72 = a(-2)(-16)
72 = a(32)
Answer: y = (x + 16)(x + 2)
Answers
you're unable to think clearly, and to agonize over it any further would only
cause you more pain and frustration.
I've never seen this kind of problem before. But I arrived here in a calm state,
having just finished my dinner and spent a few minutes rubbing my dogs, and
I believe I've been able to crack the case.
Consider this: (2)^a negative power = (1/2)^the same power but positive.
So:
Whatever power (2) must be raised to, in order to reach some number 'N',
the same number 'N' can be reached by raising (1/2) to the same power
but negative.
What I just said in that paragraph was: log₂ of(N) = - log(base 1/2) of (N) .
I think that's the big breakthrough here.
The rest is just turning the crank.
Now let's look at the problem:
log₂(x-1) + log(base 1/2) (x-2) = log₂(x)
Subtract log₂(x) from each side:
log₂(x-1) - log₂(x) + log(base 1/2) (x-2) = 0
Subtract log(base 1/2) (x-2) from each side:
log₂(x-1) - log₂(x) = - log(base 1/2) (x-2) Notice the negative on the right.
The left side is the same as log₂[ (x-1)/x ]
==> The right side is the same as +log₂(x-2)
Now you have: log₂[ (x-1)/x ] = +log₂(x-2)
And that ugly [ log to the base of 1/2 ] is gone.
Take the antilog of each side:
(x-1)/x = x-2
Multiply each side by 'x' : x - 1 = x² - 2x
Subtract (x-1) from each side:
x² - 2x - (x-1) = 0
x² - 3x + 1 = 0
Using the quadratic equation, the solutions to that are
x = 2.618
and
x = 0.382 .
I think you have to say that x=2.618 is the solution to the original
log problem, and 0.382 has to be discarded, because there's an
(x-2) in the original problem, and (0.382 - 2) is negative, and
there's no such thing as the log of a negative number.
There,now. Doesn't that feel better.