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Pepsi [2]
2 years ago
14

Which value of c makes the ratios equal? *

Mathematics
1 answer:
Nikitich [7]2 years ago
3 0

Answer:

Option 4

The answer is 10.8

Step-by-step explanation:

5/6 = 9/c

5c = 9 × 6

5c = 54

5c/5 = 54/5

c = 10.8

Thus, The value of c is 10.8

<h3><u>For </u><u>Verification</u>;</h3>

5/6 = 9/c

5/6 = 9/10.8

0.833 = 0.833

Hence, L.H.S = R.H.S

<u>-TheUnknownScientist</u><u> 72</u>

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Identify a pair of similar triangles How can you tell the difference between Side-Side-Side, Side-Angle-Side, Angle-Side-Angle,
liberstina [14]

Step-by-step explanation:

SSS

SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. For example: is congruent to: (See Solving SSS Triangles to find out more) If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent

SAS

The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

ASA

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. For example: is congruent to: (See Solving ASA Triangles to find out more)

AAS

The Angle Angle Side postulate (often abbreviated as AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

7 0
3 years ago
How did President George W. Bush respond to the terrorist attacks of September 11, 2001?
Fynjy0 [20]

you answer is C

so the united states invasion of afghanistan occurred after the September 11 attacks in late 2001, supported by close US allies. The conflict is also known as the US war in Afghanistan. the goal was to dismantle al-Qaeda and deny it a safe base of operations in Afghanistan by removing the Taliban from power.

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6 0
2 years ago
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.
EastWind [94]

Answer:

The Law of Sines applies to any triangle and works as follows:

a/sinA = b/sinB = c/sinC

We are attempting to solve for every angle and every side of the triangle. With the given information, A = 61°, a = 17, b = 19, we can solve for the unknown angle that is B.

a/sinA = b/sinB

17/sin61 = 19/sinB

sinB = (19/17)(sin61)

sinB = 0.9774

sin-1(sinB) = sin-1(0.9774)

B = 77.8°

With angle B we can solve for angle C and then side c.

A + B + C = 180°

C = 180° - A - B

C = 180° - 61° - 77.8°

C = 41.2°

a/sinA = c/sinC

17/sin61 = c/sin41.2

c = 17(sin41.2/sin61)

c = 12.8

The first solved triangle is:

A = 61°, a = 17, B = 77.8°, b = 19, C = 41.2°, c = 12.8

However, when we solved for angle B initially, that was not the only possible answer because of the fact that sinB = sin(180-B).

The other angle is simply 180°-77.8° = 102.2°. Therefore, angle B can also be 102.2° which will give us different values for c and C.

C = 180° - A - B

C = 180° - 61° - 102.2°

C = 16.8°

a/sinA = c/sinC

17/sin61 = c/sin16.8

c = 17(sin16.8/sin61)

c = 5.6

The complete second triangle has the following dimensions:

A = 61°, a = 17, B = 102.2°, b = 19, C = 16.8°, c = 5.6

The answer you are looking for is the first option given in the question:

B = 77.8°, C = 41.2°, c = 12.8; B = 102.2°, C = 16.8°, c = 5.6

Step-by-step explanation:

8 0
3 years ago
your automobile insurance semiannual premium is 750 and you have 1050 deductible per incident. In a particularly bad year, you h
nataly862011 [7]

Answer:

  $3600

Step-by-step explanation:

In each case, the repair cost exceeded the deductible, so your out-of-pocket cost for 2 repairs is ...

  2 × $1050 = $2100

In addition, you had to pay the premium of $750 per 6-month period, or $1500 per year, so your total was ...

  $2100 +1500 = $3600 . . . out-of-pocket total

6 0
3 years ago
HELP HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Arrange the functions in ascending order, starting with the function t
san4es73 [151]
If x is squared, that will be biggest by the end because it gets bigger the quickest. x^2 + 4 is always 4 greater than x^2, no matter what the value of x is.

5x+3 is always 3 greater than 5x also.

Besides that, you can rank them based on their slopes (5x < 7x < 8x, etc.)

So,
5x
5x + 3
7x
8x + 3
x^2
x^2 + 4

You can also just say “eventually” means that they’re asking to find the values of each when x is really big. so just choose x=100, and plug that into each one.

So, to check that order:
5(100) = 500
5(100) + 3 = 503
7(100) = 700
8(100) + 3 = 803
(100)^2 = 10,000
(100)^2 + 4 = 10,004

Those are in ascending order, so that must be the right order!
6 0
3 years ago
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