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gogolik [260]
3 years ago
13

30 POINT QUESTION

Mathematics
2 answers:
mr_godi [17]3 years ago
4 0

Answer:

96 flag signals are possible.

Step-by-step explanation:

groups = 2

blue flags = 4

red flags = 2

arrangements # = 2! x 4! x 2!

                           = 96

blondinia [14]3 years ago
3 0

Answer:

96

took the test ez

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If mZBAC = (7x + 1) º and<br> mZBCA = (52 + 9) . what is the<br> measure of the vertex angle?
nata0808 [166]
<h3>Answer:  122 degrees</h3>

==========================================================

Explanation:

Angle BAC can be shortened to "angle A" since the letter A is in the middle.

Angle BCA can be shortened to "angle C" for similar reasoning.

We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent

-----------

Let's use this fact to solve for x.

angle A = angle C

7x+1 = 5x+9

7x-5x = 9-1

2x = 8

x = 8/2

x = 4

Once we know what x is, we can find each base angle

  • angle A = 7x+1 = 7*4+1 = 28+1 = 29
  • angle C = 5x+9 = 5*4+9 = 20+9 = 29

Both angles A and C are 29 degrees each, so this confirms we have the correct x value.

-----------

The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.

A+B+C = 180

29+B+29 = 180

B+58 = 180

B = 180-58

B = 122

The vertex angle is 122 degrees.  

So we can say either angle B = 122, or we could say angle ABC = 122

"angle ABC" is the same as "angle CBA".

3 0
3 years ago
HELP PLEASE<br><br> write in standard form<br><br> 0.00000000485
Anna35 [415]

Answer:

4.85×10^-9

Step-by-step explanation:

can u get it ?

5 0
3 years ago
What notation is used to represent the distance from point A to B
borishaifa [10]

Answer:

Absolute Value

Step-by-step explanation:

Absolute Value is very useful in finding the distance between two points on the number line. The distance between any two points a and b in the number line is

|a-b| or |b-a|.

7 0
3 years ago
Combine like terms:
mario62 [17]

Answer:

Step-by-step explanation:

6 0
3 years ago
Javier had $305 in his bank account. His bank charges a fee of $7.50 each month that a balance is below $500. If he makes no oth
OleMash [197]
To find the fee for three weeks, we need to multiply the fee for one week by 3.
7.50 * 3 = 22.5
Subtract:
305 - 22.5 = 282.5
Javier will have $282.50
8 0
3 years ago
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