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elena-s [515]
3 years ago
8

Evaluate the expression 6÷3+17=​

Mathematics
1 answer:
charle [14.2K]3 years ago
8 0

Answer:

=19

Step-by-step explanation:

=6÷3+17

=2+17

=19

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The furthest angle of elevation to the top of the steeple was 20 degrees and the closest angle elevation to the church was 29 de
Otrada [13]

The angle measure of ACB is 9 degrees

Answer: Option B

<u>Step-by-step explanation:</u>

To find the solution to the given problem, first we need to look into the point B. It consists two angles and both of them are on a straight angle. So, this means that the sum of angle ABC and CBD is 180 degrees, that is

               \angle A B C+\angle C B D=180^{\circ}

We know that \angle C B D=29^{\circ}. Therefore

               \angle A B C+29^{\circ}=180^{\circ}

               \angle A B C=180^{\circ}-29^{\circ}=151^{\circ}

Now, in the triangle ABC, we know that all three angles must sum 180 degrees,

               \angle C A B+\angle A B C+\angle B C A=180^{\circ}

               20^{\circ}+151^{\circ}+\angle B C A=180^{\circ}

               \angle B C A=180^{\circ}-20^{\circ}-151^{\circ}=9^{\circ}=\angle A C B

Therefore, the angle ACB is 9 degrees.

7 0
3 years ago
Factor each.<br><br><br> Please help!
Naddika [18.5K]

Answer:

1) The factors of  x^2-3x+2=0 are \mathbf{(x-1)(x-2)=0}

Option C is correct.

3) The factors of  x^2+2x-8=0 are \mathbf{(x-2)(x+4)=0}

Option B is correct.

Step-by-step explanation:

1) Factor : x^2-3x+2=0

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : -3x

We can break them as (-2x)( -x)

Solving:

x^2-3x+2=0\\x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0

So, factors of  x^2-3x+2=0 are \mathbf{(x-1)(x-2)=0}

Option C is correct.

3) Factor: x^2+2x-8=0

For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.

The middle term : 2x

We can break them as (4x)( -2x)

Solving

x^2+2x-8=0\\x^2+4x-2x-8=0\\x(x+4)-2(x+4)=0\\(x-2)(x+4)=0

So, factors of  x^2+2x-8=0 are \mathbf{(x-2)(x+4)=0}

Option B is correct.

7 0
3 years ago
Victoria is 4 years older than her neighbor. the sum of their ages is no more than 14 years. 1. enter an inequality that can be
Elis [28]
V = x + 4
x = neighbors age

x + x + 4 < = 14...here is the inequality
2x + 4 < = 14.....this is just a simplified form of the inequality
not sure which one u want to write, because they are both basically the same...one is just simplified a little

2x + 4 < = 14
2x < = 14 - 4
2x < = 10
x < = 10/2
x < = 5.....the oldest age of the neighbor is 5
5 0
3 years ago
What are the steps to solve this problem?
adoni [48]
I'm sorry you need to be more clear I don't understand the question.
7 0
3 years ago
Find f^-1(x) and it’s domain.
Mrac [35]

Answer: A

Step-by-step explanation:

Letting f(y)=x,

x=\sqrt{y}-5\\\\x+5=\sqrt{y}\\\\y=(x+5)^{2}

Also, the domain of an inverse is the same as the range of the original function, so the range is x \geq 0

7 0
2 years ago
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