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rosijanka [135]
3 years ago
14

The measure of angle 4 is 120°, and the measure of angle 2 is 35°. What is the measure of angle 5?

Mathematics
2 answers:
pickupchik [31]3 years ago
8 0

If this was a triangle, the answer would be 35 degrees. Can you plz show a graph if you have one though?

Alenkasestr [34]3 years ago
3 0

Answer:

Option (A) is correct.

Step-by-step explanation:

In the given figure, we have

m∠4 = 120° and m∠2 = 35°.

We are to find the measure of ∠5.

Since ∠3 and ∠4 makes a linear pair, so

The sum of the measures of three angles of a triangle is 180°, so

Again, since ∠1 and ∠5 makes a linear pair, so

Thus, the measure of ∠5 is 95°.

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What is the variable in Samuel is six inches taller than his brother Elijah.if Samuel is 48 inches tall,how tall is Elijah
Taya2010 [7]

Answer: Elijah would be 42 inches tall

Step-by-step explanation:

We all know that Samuel is 48 inches while Elijah is 6 inches shorter.

You subtract 6 from 48 to get 42.

Hopefully, this helped. :D

5 0
3 years ago
3(2x-5)=21<br> What is x?
Alexxx [7]
X=6 is your answer .-.
7 0
3 years ago
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The quantity a varies directly with b and c and inversely with dThe quantity d is tripledWhich of the following must be true for
EastWind [94]

Answer:

We have the next relation:

A = (b*d)/c

because we have direct variation with b and d, but inversely variation with c.

Now, if we have 3d instead of d, we have:

A' = (b*(3d))/c

now, we want A' = A. If b,c, and d are the same in both equations, we have that:

3bd/c = b*d/c

this will only be true if b or/and d are equal to 0.

If d remains unchanged, and we can play with the other two variables we have:

3b'd/c' = bd/c

3b'/c' = b/c

from this we can took that: if c' = c, then b' = b/3, and if b = b', then c' = 3c.

Of course, there are other infinitely large possible combinations that are also a solution for this problem where neither b' = b or c' = c

6 0
3 years ago
Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is
Mamont248 [21]

Answer:

1)The rocket hit the ground at     x = \frac{5}{4}

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation  

                y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

             \frac{dy}{dx} = -2( 2x) +5(1) =  -4x +5

Equating zero

            \frac{dy}{dx} = 0

⇒      -4 x +5 =0

⇒      -4 x = -5

⇒          x = \frac{5}{4}

<em> The rocket hit the ground at     </em>x = \frac{5}{4}<em></em>

<u><em>Step(ii):</em></u>-

    \frac{dy}{dx}  =  -4x +5  ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

 \frac{d^{2} y}{dx^{2} }  = - 4(1)

The maximum height at x = \frac{-5}{4}

  y = -2 x² + 5 x + 7

 y = -2 (\frac{5}{4})^{2}  + 5 (\frac{5}{4} )  + 7

y = \frac{-2(25)+ 25 (16)+7(64)}{64}

y = \frac{798}{64} = 12.468 feet

<em>The maximum height of the rocket = 12.468 feet</em>

       

4 0
3 years ago
The game of Scrabble has 100 tiles. The diagram shows the number of tiles for each letter and the​ letter's point value. One til
egoroff_w [7]

Answer:

10%

Step-by-step explanation:

In the image attached below, we can see that there are

8 tiles of letter O

2 tiles of letter V

This means that there are 10 total tiles of the letters that you want to get (O and V). Since there are a total of 100 tiles we need to divide this value by 100 to get the probability of getting one of these tiles.

10 / 100 = 0.10 or 10%

Finally, we can see that the probability of selecting a O or a V is 10%

7 0
3 years ago
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