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san4es73 [151]
2 years ago
9

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
Zinaida [17]2 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

Remember the rule: 5, 12, 13

To prove this rule: Use the equation a² + b² = c²; where as a & b = shorter side, and c is the hypotenuse (longest).

Solve. Let a = x, b = 12, c = 13

a² + b² = c²

(x)² + (12)² = (13)²

Simplify

x² + 144 = 169

Isolate the x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

x² + 144 (-144) = 169 (-144)

x² = 169 - 144

x² = 25

Isolate the x. Root both sides

x² = 25

√(x²) = √(25)

x = √25 = √(5 * 5) = 5

5 is your answer for x

~

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2 years ago
Which term can be added to the list so that greatest common factor of the three terms is 12h^3? 36h^3 12h^6. 6h^3. 12h^2. 30h^4.
Juliette [100K]

Answer:

Last Option 48h^{5}.

Step-by-step explanation:

In this question we will do the factors of given two terms then we will do the common factors of all the terms given in answer to match with.

Common factors of 36h³ = 1×2×2×3×3×h×h×h

Common factors of 12h^{6} = 1×2×2×3×h×h×h×h×h×h

In these two terms greatest common factor Of these two terms is = 1×2×2×3×h×h×h = 12h³

Therefore the third term will be the number which has the greatest common factor = 12h³

So the given terms are

6h³ = 1×2×3×h×h×h

12h² = 1×2×2×3×h×h

30h^{4} = 1×2×3×5×h×h×h×h

48h^{5} = 1×2×2×2×2×3×h×h×h×h×h

Therefore the greatest common factor of the term which matches with 12h³ is 48h^{5}

3 0
2 years ago
The rule T 5, -0.5° Ro, 1800(x, ) is applied to FGH to
Yuki888 [10]

Answer:

Step-by-step explanation:

Given rule for the multiple translations is,

T_{5,-0.5}.R_{0.180^{\circ}}(x,y)

Apply the rule R_{0,180^{\circ}} first.

(x, y) → (-x, -y)

This rule illustrates a rotation of the triangle FGH by 180° about the origin,

Vertices of ΔFGH are,

F → (1, 1)

G → (4, 5)

H → (5, 1)

After rotation vertices of the image triangle are,

F' → (-1, -1)

G' → (-4, -5)

H' → (-5, -1)

Further apply the rule,

T_{5,-0.5}

(x, y) → (x + 5, y - 0.5)

By this rule of translation,

F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}

            → F"(4, -1.5)

G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]

              → G"(1, -5.5)

H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]

             → H"(0, -1.5)

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Answer:

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